Answer:
D.
Step-by-step explanation:
(-∞, ∞) is the range of the function y = f(x) = x/2 + 8.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function y = f(x) = x/2 + 8 is a linear function with slope 1/2 and y-intercept 8.
As x varies from negative infinity to positive infinity, the value of f(x) also varies from negative infinity to positive infinity.
Therefore, the range of the function is all real numbers, that is:
y ∈ (-∞, ∞)
In interval notation, this can be written as (-∞, ∞)
Hence, (-∞, ∞) is the range of the function y = f(x) = x/2 + 8.
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A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 412cm.
The prism is filled with cubes that have edge lengths of 12 cm.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.
Answer: To fill the rectangular prism, 4 cubes are needed.
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the prism and divide it by the volume of one cube:
Volume of a rectangular prism = Length x width x height
V P = 6x3x412 = 7,416 cm3
Volume of a cube = side length^3
VC = 12^3 = 1,728 cm3
Finally;
Volume of the prism / volume of one cube = 7,416 /1,728 = 4.29 = 4 cubes
Feel free to ask for more if needed or if you did not understand something.
Answer:
I'm pretty sure he is correct but I have not completed the test quite yet. Refer to him if you want.
Step-by-step explanation:
please help with numbers 5 and 6
The answer of question no 5 is 46
The answer of question no 6 is 79
Look at the attached picture
Hope it will help you
-3+m --------- = 10 9
Answer:
proper answer pls
Step-by-step explanation:
A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. What is the length of any one piece of this circle?
Answer:
6 inch
Step-by-step explanation:
half the diameter to find the length
The outer edge length of one piece of the cut circle is 3π / 2 inches
Diameter of a circle
The diameter of a circle is a line that passes through the centre and meets the circumference at opposite ends.
The circle representing the pizza is 12 inches in diameter. The radius is half of the diameter. Therefore,
radius = 12 × 0.5 = 6 inches
The circle is cut into 8 congruent pieces. The length of the outer edges of any one piece of the circle can be calculated as follows;
circumference of the circle = 2πr
circumference of the circle = 2 × π × 6 = 12π inches
Now let's divide it into 8 part.
edge length of one piece of the circle = 12π / 8 = 3π / 2
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Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker is selected at random, what is the probability the student scored 573 or greater on the exam?
Answer: the probability that the student scored 573 or greater on the exam is 0.31
Step-by-step explanation:
Let x be the random variable representing the math scores on the SAT exam. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 514
σ = 118
the probability that the student scored 573 or greater on the exam is expressed as
P(x > 573) = 1 - P(x ≤ 573
For x = 573,
z = (573 - 514)/118 = 0.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.69
P(x > 573) = 1 - 0.69 = 0.31
Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32
Answer:
15.6
Step-by-step explanation:
First, multiply the midpoint of each class by its frequency, as follows:
Class midpoint frequency midpoint*frequency
0-9 4.5 24 4.5*24 = 108
10-19 14.5 20 14.5*20 = 290
20-29 24.5 32 24.5*32 = 784
Total 76 1182
The mean is computed as the division between the addition of the "midpoint*frequency" column by the addition of "frequency" column.
mean = 1182/76 ≈ 15.6
What is the equation in slope-intercept form of a line passing through points (-1, 1) and (1, 5)
Answer:
y=2x+3
Step-by-step explanation:
Answer:
y=2x+3
Step-by-step explanation:
Somebody help ASAP please please please. I basically forgot all the steps to do this.
Answer:
m=50
Step-by-step explanation:
m=4a+2c
m= 4(10)+2(5)
m= 40+10
m=50
In the diagram below, DE is parallel to XY. What is the value of x?
.
X
105
A. 75
B. 125
C. 105
D. 95
Answer:
105 degrees
Step-by-step explanation:
Corresponding angles
Answer:
x = 105⁰( corresponding angles)
Please answer The attachment correctly below.
Answer:
$55
Step-by-step explanation:
do PEMDAS
do parenthesis first
then multiply
6.75 plus 4.25 is 11
multiply 11 by 5
Which of the following rational functions is graphed below?
Answer:
option B
Step-by-step explanation:
We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.
These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).
So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.
The other options show functions that have only one point that goes to infinity.
Answer:b
Step-by-step explanation:
[tex] 8.4^3 \times 8.4^2 = [/tex]
help
Answer: 41821.19424
Step-by-step explanation:
If you wanted to solve this system by elimination, what would I multiply the second equation by to eliminate the x's when the 2 systems are added? 4x- 3y = -5 and 21 + 6y = -15
4
-6
3
-2
Answer:
You simply multiply the second equation by -4/21
Answer:
There is no x in the second equation
Which relation is a function of x? {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 0, 0, 0. Column 2 is labeled y with entries 2, negative 6, 9, negative 7. x = 3 y squared minus 7 On a coordinate plane, a graph curves up, then curves down, and then curves up again.
Answer:The answer is D the last one.
Answer:
D on edu
Step-by-step explanation:
A cart rolls 2 m to the right then rolls back 1 m to the left.
What is the displacement of the cart from the initial to the final positions?
HELP PLEASE
Answer:
3 m is the displacement
Step-by-step explanation:
because the distance traveled is how much you really move necessarily is the distance from where you started to where you ended in a sraight line, not every single move you made, and the displacement is how much you moved altogether in any and every direction even if you went in circles. hope this helps!! love yawl, stay safe!! <3 <3 <3 <3 <3 <3 <3
The displacement of the cart will be "3 m".
Towards the right,
The distance covered by the cart is:
= 2 m
Towards the left,
The distance covered:
= 1 m
hence,
→ [tex]Total \ distance = Sum \ of \ the \ distances[/tex]
[tex]=2 +1[/tex]
[tex]=3 \ m[/tex]
So the above answer is correct.
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Solve the equation using square roots.
[tex]3x^{2} -12=0[/tex]
Answer:
x = 2, x = - 2
Step-by-step explanation:
3x² - 12 = 0
3x² = 12
x²= 12/3
x²= 4
√x² = +/- √4
x = +/- 2
x = 2, x = -2
Direct Variation: If y = 6, when x = -2, find y when x = 18.
Answer:
The answer is -54. Please mark as brainliest :)
Step-by-step explanation:
Y is directly proportional to x. So....
Finding the value of constant k.y=kx
6=-2k
-3=k.
Finding y when x is 18y=-3*18
y=-54.
Solve for missing angle, show your work : HELP!
Answer:
105
Step-by-step explanation:
The interior angles must sum to 360
360-91+82-82 = 105
a hot air balloon begins to descend towards the ground from a height of 2250 feet. If it descends at the rate of 150 feet per minute, find the height after 12 minutes.
Answer: 450 ft.
Step-by-step explanation:
h = 2250 - 150*12
h = 2250 - 1800
h = 450
The height after 12 min is 450 ft
Answer:
450
Step-by-step explanation:
-2250 - 150 x 12
-2250 - -1800
-450 put in postive
-276
Hope this helps
Find the quotient of 6x^3-18x-12x/-6x
Answer:
Step-by-step explanation:
[tex]\frac{6x^{3}-18x^{2}-12x}{-6x}=\frac{6*x^{3}-6*3*x^{2}-6*2x}{-6x}\\\\=\frac{6x*[x^{2}-3x^{1}-2]}{-6x}\\\\=\frac{x^{2}-3x-2}{-1}\\\\\\=-x^{2}+3x+2[/tex]
A rectangular painting canvas has the dimensions of 22 by 23 inches. Find the area, in square inches, of the painting. Use the formula, area = length * width
Answer:
506 square inches
Step-by-step explanation:
length=22 inches
breadth=23 inches
area=length *breadth
area=22*23=506 squareinches
Answer:
506 inches
Step-by-step explanation:
22 times 23 equals 506 inches.
Find the endpoint of the line segment with the given endpoint and midpoint.
Answer:
(10, 2)
Step-by-step explanation:
To get from the given endpoint to the midpoint, 6 was added to x and 2 was added to y. As per the definition of a midpoint, the resulting two line segments will be congruent (first endpoint and midpoint congruent to midpoint and second endpoint). Use the same formula (x + 6, y + 2) to find the second endpoint (use the x and y of the midpoint):
(x + 6, y + 2)
(4 + 6, 0 +2)
(10, 2)
Answer:
Step-by-step explanation:
[tex]Midpoint (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\(\frac{x_{1}-2}{2},\frac{y_{1}-2}{2})=(4,0)\\\frac{x_{1}-2}{2}= 4 ; \frac{y_{1}-2}{2}=0\\\\x_{1}-2=4*2 ; y_{1}-2=0\\\\x_{1}-2= 8 ; y_{1}-2=0\\\\x_{1}=8+2 ; y_{1}=0+2\\\\x_{1}=10 ; y_{1}=2\\[/tex]
Endpoint ( 10, 2)
abbi invested 1000 in a certificate of deposit with a simple interest rate of 3% . find the interest earned in 6 years then find the total of principal plus interest
Answer: interest = 180
Amount 1000 + 180 = 1180
Step-by-step explanation:
SI = prt / 100
(1000 x 3 x 6)/100
18000/100 = 180
The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line?
y = 15x + b
Answer:
21
Step-by-step explanation:
Equation of the given line y = 15x + b.
Points passing through the above line (6.4, 117) and (6.6, 120)
If these point pass through the given line.
These point should satisfy the equation.
plugging in value of one of the point (6.4, 117) in the line y = 15x + b
we have
117 = 15*6.4 + b
=> 117 = 96 + b
=> 117 - 96 = b
=> b = 21
Thus, value of b in the given equation is 21.
Answer:
21
Step-by-step explanation:
When x = 6.4, y=117, therefore
15*6.4 + b = 117
b = 117 - 96 = 21
Also, I got it right on ed
would you rather have a pool thats 40ft x 9ft x 4ft or a pool that 7yds x 4yds x 2yds \
explain please
Answer:
I would rather have the pool that is 40ft x 9ft x 4ft.
Step-by-step explanation:
I hope this helps!
100 POINTS!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER AND STEP BY STEP EXPLANATION! PLEASE ANSWER BOTH QUESTIONS
Answer:
840[tex]cm^{2}[/tex]
Step-by-step explanation:
8×6×15=720
5×6×4=120
720+120=840
Answer:
V= 840cm^3, V=800cm^3
Step-by-step explanation:
First you want to calculate the volume of the entire imaginary prism, 12×15×6
=1080,
afterwards you want to calculate the missing volume, which you can think of as a bite. First, find the sides.
12-8=4 5-15=10
Now calculate the volume of the bite, 4×10×6
=240
Now take the bite out of the sandwich, 1080-240
= 840
Follow the same steps, though this time the sides of the "bite" are given.
10×12×8
= 960
4×5×8
= 160
960-160 = 800 cm
The town of Haverford just bought land to make a new park. The land is in the shape of a rectangle that is 2/3 of a mile wide and 3/4 of a mile long.
What is the area, in square miles, of the land the town of Haverford bought?
A 5/12
B 6/12
C 8/9
D 6
Answer:
B 6/12
Step-by-step explanation:
The first step is to set up your fraction like so: [tex]\frac{2}{3} x \frac{3}{4}[/tex]
Next you will multiply across the top 2·3=6 (this will become your numerator)
Then you will multiply across the bottom 3·4=12(this will become your denominator)
if asked it can be simplified to 1/2 if not your final equation will look like:
[tex]\frac{2}{3} x \frac{3}{4} = \frac{6}{12}[/tex]Express each of the following as a rational number and represent them on the same number line :1/4 0.75 and -3
Answer:
Step-by-step explanation:
1/4
0.75= 75/100=3/4
-3=-12/4
The following is a rational number and represents them on the same number line:1/4 0.75 and -3 is
1/4
0.75= 75/100=3/4
-3=-12/4
What is an example of a rational number?
A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Some of the examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on.
What is a rational number?A rational number is any number that can be expressed as a fraction or ratio of two integers. For example, 3/4, 8.75, 2, and -6 are all considered rational numbers. Note that integers, or "whole numbers", are rational numbers. This is because they can be expressed as fractions.
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100 points and brainliest A sports club has 84 members who learned baseball, and 42 of those members also learned basketball. There are 25 students who did not learn baseball but learned basketball, and 8 students did not learn either baseball or basketball. Which table best shows the conditional relative frequency of rows for the data? Learn baseball Do not learn baseball Total Learn basketball 0.36 0.21 1 Do not learn basketball 0.36 0.07 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.5 0.76 1 Do not learn basketball 0.5 0.24 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.63 0.37 1 Do not learn basketball 0.84 0.16 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.42 0.25 1 Do not learn basketball 0.42 0.80 1 Total 0.84 0.33 1
Answer: The answer is C. C in your given options.
Step-by-step explanation:
Learn baseball Do not learn baseball Total
Learn basketball 0.63 0.37 1
Do not learn basketball 0.84 0.16 1
Total 0.72 0.28 1
Answer:
C
Step-by-step explanation:
Learn baseball Do not learn baseball Total
Learn basketball 0.63 0.37
Do not learn basketball 0.84 0.16
Total 0.72 0.28
Hope this helps!
Solve the system of equations.
x + 3y = −1
2x + 2y = 6
(−4, 1)
(2, −1)
(4, −1)
(5, −2)
Answer:
(5,-2)
Step-by-step explanation:
Multiplying the first equation by 2 we get
2x+6y=-2
Subtracting the second equation we get
4y=-8
y=-2
Plugging y as -2 into the equation we get x=5
Answer:
(5, -2)
Step-by-step explanation:
x + 3y = −1
2x + 2y = 6 ⇒ x+y=3
Subtract second equation from the first one:
x+3y=-1x+y=33y-y= -1 -32y= -4y= -2x= 3+2= 5