Final answer:
The value 8 3/4 (option C) is closest to 8 11/20 because it has the smallest difference when compared to the other options after converting 11/20 to its decimal form.
Explanation:
The value closest to 8 11/20 is 8 3/4 (option C). To determine which value is closest, convert 11/20 to its decimal equivalent by dividing 11 by 20, which is 0.55. When added to 8, this gives us 8.55. Now let's compare the options: Option A (8) is 0.55 away, option B (8 1/2) equals 8.5 and is 0.05 away, option C (8 3/4) equals 8.75 and is 0.20 away, and option D (9) is 0.45 away. Thus, 8 3/4 is the closest value to 8 11/20 since it has the smallest difference.
Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots).
2x^2−5x+1=0
Enter your answers in the boxes.
x =
or x =
The solutions to the quadratic equation are x= 0.22 and x= -0.22.
The given quadratic formula is 2x²-5x+1=0.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
Here, x= [5± √(25 - 4×2×1)]/2×2
x= [5± √(25 - 8)]/4
x= (5± √17)/4
x= (5± 4.12)/4
x= 0.88/4 and x= -0.88/4
x= 0.22 and x= -0.22
Therefore, the solutions to the quadratic equation are x= 0.22 and x= -0.22.
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A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random. What is the theoretical probability of picking a green or yellow marble? 75% 55% 20% 25%
Answer:
75%
Step-by-step explanation:
20+55=75
so 75/100 or 75%
hope this helped! :)
Answer:
it's 75%
Step-by-step explanation:
Which expression is a factor of x2 – 9x + 14?
A not factorable
B (x + 2)(x - 7)
C (x-2)(x + 7)
D (x-2)(x - 7)
Answer:
x² - 9x + 14 = (x - 2)(x - 7)
The correct answer is D.
Choose four endpoints and connect them to make a trapezoid with only 1 pair of opposite sides that are paraell
we can;t answer question that need a graph without you showing the graph
A chef keeps track of the temperature of his refrigerator in degrees Celsius. What is the level of measurement of data?
Answer:
interval level of measurement
Step-by-step explanation:
Interval level of measurement is numeric and allows for mathematical operations like mean. It is quantitative and in fixed units, i.e changes in values are as a result of a phenomenon. It does not have a zero point i.e a value of zero does not mean what you are measuring is absent, for example a temperature of 0°C do not mean there is no heat applied. It specifies the distance between intervals.
What is the surface area of the triangular prism?
square feet ___
Answer: 168 because (9 × 6) + (9 × 5) + (9 × 5) + (6 × 4 × 0.5) + (6 × 4 × 0.5) equals 168 :) good day humans
Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.
A 12 foot ladder is placed 4 foot from the bottom of the house. How high will the ladder reach the house?
Answer:
11.31 ft
Step-by-step explanation:
Here in this problem ladder forms a right triangle with the wall of the house and it is acts as hypotenuse, length of one leg of right triangle given to be 4 feet.
Let the ladder reaches x ft height of the house.
Hence, by Pythagoras theorem:
[tex] {12}^{2} = {4}^{2} + {x}^{2} \\ 144 = 16 + {x}^{2} \\ {x}^{2} = 144 - 16 \\ {x}^{2} = 128 \\ x = \sqrt{128} \\ x = 11.3137085 \\ x = 11.31 \: ft[/tex]
Hence, the ladder reaches 11.31 ft height of the house.
Compare the period of y = 2x with the period of y= sin x
Final answer:
The function y = 2x is linear and without a period, whereas the function y = sin x is periodic with a period of 2π radians.
Explanation:
The period of a function is the length of the interval over which it repeats.
The function y = 2x is a linear function, not a periodic function, and thus does not have a period.
In contrast, the function y = sin x is a periodic function and has a period of 2π radians.
This means that the sine function repeats its values every 2π radians.
Therefore, when comparing the period of these two functions, we can conclude that y = 2x does not have a defined period, while y = sin x has a period of 2π radians.
Solve for x 7(x - 9) = 8x - 6
Answer:
x= -57
Step-by-step explanation:
7x-63+8x-6
-x-63-7
-x=57
x=-57
Answer:
x = -57
Step-by-step explanation:
Simplify both sides of the equation:
Distribute:
(7)(x) + (7)(-9) = 8x + -6
7x + -63 = 8x -6
7x - 63 = 8x - 6
Subtract 8x from both sides
7x−63−8x=8x−6−8x
−x − 63 = −6
Add 63 to both sides
−x − 63 + 63 = −6 + 63
-x = 57
Divide both sides by -1
-x / -1 = 57 / -1
Therefore, you get x = -57
What is the mean price for the sneakers?
Answer:
38
Step-by-step explanation:
You need to add all of numbers together and then divide by the total number of numbers.
i need help please for this picture
Answer:
3,500
Step-by-step explanation:
(ANSWER ALL QUESTIONS FOR 60 POINTS AND BRAINLYEST)
Question 1 (1 point)
The coordinate (0,0) is a point on the graph y = 2x.
Question 1 options:
True
False
Question 2 (1 point)
The coordinate (1,2) is a point on the graph of y = 2x.
Question 2 options:
True
False
Question 3 (1 point)
Which coordinate is a point on the graph of y = 2x + 2
Question 3 options:
(2,4)
(0,0)
(1, 3)
(2,6)
Question 4 (1 point)
Which equation has the coordinate (0, 2) as a point on its graph?
Question 4 options:
y = x - 2
y = x + 2
y = 2
y = 2x
Question 5 (1 point)
In slope intercept form, y = mx + b.
Which variable represents the slope of this equation's graph?
Question 5 options:
b
x
m
y
Answer:
answer to q1= True
q2= true
q3= x2y6
q4= y+x+2
q5= y
Answer:
Answer to question 1. True
Answer to question 2. True
Answer to question 3. 2,6
Answer to question 4. I think it is y=x+2
Answer to question 5. I'm pretty sure it is M
I hope this helped if they were wrong I'm sorry.
Simplify to create an equivalent expression
8k - 5(-5k + 3
Choose 1 answer:
A.33k +15
B.33k – 15
C.3k +3
D.3k-3
A rectangular prism has a volume of 3995 cubic inches. Its base measures 5 in by 17 in. What is the height of the rectangular prism? You must show all work to receive credit.
Answer:
47 inches.
I hope this helped!! :3
Edit- to find the height of a rectangular prism with a known volume, use the formula
V= AH.
3995= lwH
3995= 85h
If you don’t have the area, multiply the width and the length of one side to get that value.
Find the slope of the line that goes through the points (-3, -4) and (0, -1).
A. LaTeX: \frac{4}{3}4 3
B. -1
C. LaTeX: \frac{3}{4}3 4
D. 1
Answer:
D
Step-by-step explanation:
The slope is the change in y-coordinates divided by the change in x-coordinates.
Here, the y-coordinates are -4 and -1, and the x-coordinates are -3 and 0, so:
slope = m = (-4 - (-1)) / (-3 - 0) = -3 / -3 = 1
The slope is thus 1, so the answer is D.
We can use the points (-3, -4) and (0, -1) to solve.
Slope formula: y2-y1/x2-x1
= -1-(-4)/0-(-3)
= 3/3
= 1 (Option D)
Best of Luck!
What is the distance, rounded to the nearest tenth, between the points (-5,3) and (1,-1)? Enter the answer in the box.
units
Final answer:
The distance between the points (-5,3) and (1,-1) is found using the distance formula and is approximately 7.2 units when rounded to the nearest tenth.
Explanation:
To find the distance between two points (-5,3) and (1,-1), we can use the distance formula: √((x2 - x1)² + (y2 - y1)²). Plugging in our values, we get the distance as √((1 - (-5))² + (-1 - 3)²) = √(6² + (-4)²) = √(36 + 16) = √52. To round to the nearest tenth, we calculate √52 and find it is approximately 7.2. Therefore, the distance between the points, rounded to the nearest tenth, is 7.2 units.
The function f (x) = -x^2 + 4x - 3 is graphed in the xy-coordinate plane as shown based on the graph of the function which of the following statements are true. Select all that apply
Answer:
In the picture attached, the function f(x) = -x² + 4x - 3 is shown.
Based on the graph of the function, the following statements are true:
f(x) < 0 on the interval x < 0f(x) < 0 on the interval 0 < x < 1f(x) > 0 on the interval 1 < x < 3f(x) < 0 on the interval x > 3Find the length of arc AB. leave your answers in terms of pi
Answer:
arc AB = 60°
Step-by-step explanation:
The diameter splits the circle into two semi circles.
in the semicircle above the diameter, you can do 180° - 120° = 60°
so arc AB = 60°
( I'm sorry; I'm not sure how to get the answer in terms of pi. )
Maryanne throws a ball off the top of a building. The table shows the height of the ball in feet, f(t), at t seconds.
What type of function is represented?
exponential
quadratic
linear
logarithmic
Answer:
quadratic
Step-by-step explanation:
i just took it on edge
Answer:
Step-by-step explanation:
If you were a college professor taking a survey of how many hours of
homework students were assigned, which visual tool would you use if you
organized students in hour ranges?
A. Line plot
B. Bar graph
C. Frequency table
D. None of the above
If I were a college professor taking a survey of how many hours of homework students were assigned and I wanted to organize the data by hour ranges, the visual tool that I would use is C) a frequency table.
Explanation:A frequency table would be the best visual tool to organize students in hour ranges for a survey of how many hours of homework students were assigned.
A frequency table is a way to organize data into different intervals, or ranges, and count how many data points fall into each interval. In this case, I would create intervals such as 0-1 hour, 1-2 hours, 2-3 hours, and so on, and then count the number of students assigned homework in each interval. This would give me a clear picture of the distribution of homework hours among the students. Therefore the correct answer is C) a frequency table.
Factor completely 3x2 − x + 5.
Find the distance, c, between (0, 0) and (–4, –3) on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
5 units.
Step-by-step explanation:
For this problem, you will need to use the distance formula. The distance formula is as shown:
d= [tex]\sqrt{({x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2} }[/tex]
We can plug in the points which would result in:
d= [tex]\sqrt{({-4-0)^{2}+(-3-0)^{2} }[/tex]
When solved:
d= [tex]\sqrt{25}[/tex]
d= 5 units
Identify the slope of the line for the equation y = −6x + 5. A) −6 B) −5 C) 5 D) 6
Answer:
-6 is the slope
Step-by-step explanation:
y = −6x + 5
This is of the form
y = mx+b where m is the slope and b is the y intercept
-6 is the slope and 5 is the y intercept
I need help ASAP!!!!
Answer:
A
Step-by-step explanation:
1/1-2/5
Which number line shows the solution set for |8 - 2p| = 6
A) Number Line 1
B) Number Line 2
C) Number Line 3
D) Number Line 4
Answer:
B) And D)
Step-by-step explanation:
8-2x1 = 6
Option B number line shows the solution set for |8 - 2p| = 6
What is number line?A number line is a pictorial representation of numbers on a straight line. It can be used to represent any real number that includes every whole number and natural number. Arithmetic operations of numbers can be better explained on a number line.
According to the question the given expression is |8 - 2p| = 6
Here the value of "p" is unknown. We have to assume a number and equate it to 6.
Let "p" be ±2, On applying ±2 in the set |8 - 2(±2)| =0
so not ±2
Now assume ±1, On applying ±1 in the set |8 - 2(±1)| =6
Value ±1 is shown in the 2nd number line.
Thus the correct option is B
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The community center has a pottery class each month. Each student pays $15 for the class and $27 for materials. This month the pottery class brought in a total of $714. How many students are in the class this month?
Answer:
17
Step-by-step explanation:
$15+$27=$42
$712 divided by $42 is 17 meaning there are 17 kids in the class.
An adult takes 400mg of vitamin c. Each hour, the amount of vitamin c in the person’s system decreases by about 29%. How much vitamin c is left after 6 hours?
Answer:
1
Step-by-step explanation:
Answer:
51.24 mg
Step-by-step explanation:
400 x (0.71^6) = 51.24
Mia has a rectangle shaped brownie brownie. She cuts the brownie into 3 equal pieces.Which sentence is true? The whole brownie is 1/3. The whole brownie is 3/3. The whole brownie is 2/3. The whole brownie is 3/2.
Answer:
The whole brownie is 3/3
Step-by-step explanation:
She cut it into 3 equal pieces out of the whole brownie so it would be 3/3
What is the solution of the system of equations shown in the graph below?
What is the simplified form of this expression? (8x − 7) + (-2x − 9) − (4x − 3) A. 2x – 13 B. 2x − 19 C. 2x − 5 D. 2x + 1
Answer:
A. 2x-13
Step-by-step explanation: