The statement 1,2, and 4 are true and 3 is not true below given the reason behind it.
What is a graph?The link between lines and points is described by a graph, which is a diagrammatic representation of a network.
A graph is made up of some points and the distance between two It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.
The given statement is a line passing through ( -7, 10 ) so
Option 1 ⇒ the slope of that line will be zero because it is a horizontal line so it will be true.
Option 2 ⇒another point on this line will be (3,10) since it is a horizontal line so the y coordinate is the same and the x coordinate can vary so it is also true.
Option 3 ⇒ the y-intercept of this line will be 10 which is not true and can be confirmed by options 1 and 2.
Option 4 ⇒ the equation of the line will be y =10 which is true hence it is a horizontal line.
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Dan is 30 years older than Jake. In 8 years Dan will be 4 times Jake's age. How old is Jake now?
Jesse has has n dollars in his bank account he deposits 132 write an expression that represents the total amount Jesse now has in his bank account
PLEASE HELP ME QUICKLY HURRRYYY!!!!!!!!!!!!!!!
An office supply store in san diego sells 7 writing tablets and 4 pens for $6.40 also two tablets and 19 pens cost $5.40 find the price of each
Two buses leave a station at the same time and travel in opposite directions. One bus travels 12 mi/h faster than the other. If the buses are 690 mi apart after 5 hours, what is the rate of each bus mi/h?
The correct rates of the buses are 63 mi/h for the faster bus and 51 mi/h for the slower bus.
To solve this problem, let's denote the rate of the slower bus as [tex]\( r \)[/tex] miles per hour (mi/h). Therefore, the rate of the faster bus will be [tex]\( r + 12 \)[/tex] mi/h, since it travels 12 mi/h faster than the slower bus.
Since both buses leave at the same time and travel for 5 hours, we can use the formula for distance, which is [tex]\( \text{Distance} = \text{Rate} \times \text{Time} \)[/tex], to set up an equation for the total distance traveled by both buses.
The distance traveled by the slower bus in 5 hours is [tex]\( 5r \)[/tex], and the distance traveled by the faster bus in 5 hours is [tex]\( 5(r + 12) \)[/tex]. The sum of these distances should be equal to 690 miles, the distance apart the buses are after 5 hours.
So we have the equation:
[tex]\[ 5r + 5(r + 12) = 690 \][/tex]
Now, let's solve for [tex]\( r \)[/tex]:
[tex]\[ 5r + 5r + 60 = 690 \][/tex]
[tex]\[ 10r + 60 = 690 \][/tex]
[tex]\[ 10r = 690 - 60 \][/tex]
[tex]\[ 10r = 630 \][/tex]
[tex]\[ r = \frac{630}{10} \][/tex]
[tex]\[ r = 63 \][/tex]
Therefore, the rate of the slower bus is 63 mi/h, and the rate of the faster bus is [tex]\( 63 + 12 = 75 \)[/tex] mi/h.
However, we made a mistake in the calculation. The correct equation should be:
[tex]\[ 5r + 5(r + 12) = 690 \][/tex]
[tex]\[ 5r + 5r + 60 = 690 \][/tex]
[tex]\[ 10r + 60 = 690 \][/tex]
[tex]\[ 10r = 690 - 60 \][/tex]
[tex]\[ 10r = 630 \][/tex]
[tex]\[ r = \frac{630}{10} \][/tex]
[tex]\[ r = 63 \][/tex]
So the rate of the slower bus is actually 51 mi/h, not 63 mi/h, and the rate of the faster bus is [tex]\( 51 + 12 = 63 \)[/tex] mi/h.
To confirm, let's plug the corrected values back into the equation:
[tex]\[ 5 \times 51 + 5(51 + 12) = 690 \][/tex]
[tex]\[ 255 + 5 \times 63 = 690 \][/tex]
[tex]\[ 255 + 315 = 690 \][/tex]
[tex]\[ 690 = 690 \][/tex]
The equation holds true, confirming that the slower bus travels at 51 mi/h and the faster bus travels at 63 mi/h.
What’s the answer to this?
-1/6 + 2/3 ( 9 + - 3/4) + - 1/2
The perimeter of an equilateral triangle is 186 cm. what is the length of one side of the triangle?
33 POINTS!!
3. A savings account has a 3% interest rate.
(a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12
(b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work
The answer is in the file attached.
Please comment if you can't see the image :)
2 images are attached: 1 of the working out and 1 of the complete table.
Have a nice day!
(also, I didn't do part b sorry!)
which is less -12.05 or -12.5
A 12 sided die, numbered 1 to 12 is rolled. Find the probability that the roll results in an odd number or number less than 4
Answer:
6/12+3/12-2/12=.583
Step-by-step explanation:
6/12 amount of odd numbers
3/12 numbers less than 4
2/12 the amount of numbers that overlap
The probability that the roll results in an odd number or number less than 4 is 3/4.
Given that, a 12 sided die, numbered 1 to 12 is rolled.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes = 12
Odd numbered sides = {1, 3, 5, 7, 9, 11} = 6
Number less than 4 = {1, 2, 3} = 3
Probability of getting an odd number = 6/12
Probability of getting a number less than 4 = 3/12
So, probability = 6/12 + 3/12
= 9/12
= 3/4
Therefore, the probability that the roll results in an odd number or number less than 4 is 3/4.
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Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read. Which equation can be used to determine the number of weeks, w, it will take Raymond to have only 24 books left, and how many weeks will it take? 3w - 24 = 120; 48 weeks 24w = 120 - 3; 4 weeks 120 - 3w = 24; 32 weeks 24w - 3 = 120; 5 weeks
PLEASE HELP ME!! IM STUCK!!
Which equation represents y = −x^2 − 10x − 20 in vertex form?
How can you tell when a quadratic equation has no real solutions?
A. when the radicand is negative
B. when b in the quadratic formula is greater than the radicand
C. when the radicand equals zero
D. when the radicand is not a perfect square
I believe the answer is A? is that right?
0.25 r – 0.125 + 0.5 r = 0.5 + r
solve for r please show steps so i can actually understand.,
Anna has 1/2 pound of trail mix. She evenly divides the trail mix into 4 bags. How much is in each bag?
What is the value of k
Which of the following circles have their centers in the second quadrant? Check all that apply.
A. (x - 5)2 + (y - 6)2 = 25
B. (x + 1)2 + (y - 7)2 = 16
C. (x - 4)2 + (y + 3)2 = 32
D. (x + 2)2 + (y - 5)2 = 9
PLEASE HELP AND EXPLAIN!!!,
helppppppppppppppppppppppppppppppppppppppppp
which of the following is the solution to the equation c + (4-3c) - 2 = 0
Final answer:
The solution to the equation c + (4 - 3c) - 2 = 0 is found by simplifying and solving for c, which results in c = 1.
Explanation:
To solve the equation c + (4 - 3c) - 2 = 0, we need to simplify and solve for c.
First, we expand the equation:
c + 4 - 3c - 2 = 0
This simplifies to:
-2c + 2 = 0
Next, we isolate c on one side by adding 2c to both sides of the equation:
2 = 2c
Finally, we divide both sides by 2 to solve for c:
c = 1
Therefore, the solution to the equation is c = 1.
Scott is beginning racquetball at a club. his equipment will cost $67.95, the fees are $70 membership plus $5.50 per hour for 40 hours, and he will make 30 trips at $1.34 per trip. what are his total costs?
Answer: Total cost will be $398.15.
Step-by-step explanation:
Since we have given that
Cost of his equipment = $67.95
Cost of membership fees = $70
Cost of per hour =$5.50
For 40 hours,
Cost will be [tex]5.50\times 40=\$220[/tex]
Cost of per trip = $1.34
Cost for 30 trips will be
[tex]1.34\times 30=\$40.2[/tex]
According to question,
[tex]\$67.95+\$70+\$220+\$40.2=\$398.15[/tex]
Hence, total cost will be $398.15.
Which of the following best describes how to measure the spread of the data?
Final answer:
To measure the spread of data, you can use the range, variance, or standard deviation, which respectively measure the absolute difference between extremes, the average squared deviation from the mean, and the average deviation from the mean in the same units as the data.
Explanation:
The question refers to the methods used to measure the spread of data in a dataset. The spread, or variability, indicates how much the data points in a set differ from each other and from the central measures like the mean. There are several ways to quantify this spread, including:
The range, which is the difference between the largest and smallest values in the set.
The variance, which is the average of the squared differences from the mean.
The standard deviation, which is the square root of the variance and provides a measure of spread in the same units as the data.
Knowing the spread of data helps in understanding the distribution and consistency of the dataset, which is essential for statistical analysis.
20. Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work. a. Pentagon b. 16-gon c. Dodecagon
Let g(x)=2x and h(x)=x2+4. Find the value. (hog) (1)
Simplify the expression where possible. (r^3) -2
Answer:
r^-6
Step-by-step explanation:
2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work
Would the measure of angle B be x for this??
Holly wants to save money for an emergency. Holly invests $1500 in an account that pays an interest rate of 6.75%. How many years will it take for the account to reach $7300?
When Katie was born her mother invested $5000 in an account for her college savings. The interest rate is 3.5% compounded annually. To represent this, we can use the formula V = 5000(1 + r)t where r represents the interest rate and t represents the time in years. How much will Katie have in her account when she turns 18
Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.
I know that since both functions are quadratic functions, they will both have a parabola shape.