![What Is The Value Of [-4.6]](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/NZiubpL7pQBJmMAG5bF2vVcYKBCgluFx.png)
Answers
The value is:
-4
Step-by-step explanation:We are asked to find the value of the ceiling function: [tex]\left \lceil -4.6 \right \rceil[/tex]
As we know that the ceiling function always occupy the higher value in integers.
i.e. the ceiling function act as follows:
it takes value 0 when -1< x≤0
1 when 0 < x ≤ 1
2 when 1 < x ≤2
and so on.
As we know that:
-4.6 lie between -5 and -4.
Hence, we have:
[tex]\left \lceil -4.6 \right \rceil=-4[/tex]
Answer: -4
Step-by-step explanation:
The ceiling function (also known as the least integer function) is written as
[tex]f(x) = [x][/tex]
It gives the smallest integer greater than or equal to x .
For example : [5.6]=6
or [-1.9]= -1 [∵- 1 > -1.9 ]
To find : The value of [-4.6]
Clearly , [-4.6] is written in ceiling function notation.
Then, [-4.6] = smallest integer greater than or equal to -4.6
= -4 [∵ -4>-4.6]
Hence, the value of [-4.6] = -4
Related Questions
A projectile is shot into the air following the path, h(x) = 3x2 - 12x + 5. At what time, value of x, will it reach a maximum
height?
Answers
Answer:
never
Step-by-step explanation:
The given path equation describes a path that starts at h(0) = 5, decreases to h(2) = -7, then increases without bound.
Assuming the projectile stops moving when h(x) = 0, it starts at its maximum height at ...
x = 0
Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers. Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5} Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6} Which statement is true for the data sets? A. The mean study time of students in Class A is less than students in Class B. B. The mean study time of students in Class B is less than students in Class A. C. The median study time of students in Class B is greater than students in Class A. D. The range of study time of students in Class A is less than students in Class B. E. The mean and median study time of students in Class A and Class B is equal.
Answers
Answer:
Option B
Step-by-step explanation:
Given
Two Data sets
Class A :{ 2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B : {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
In order to check the options we will have to find the mean and median of both data sets.
So for Class A:
Mean= x =(Sum of values)/(Number of values)
=96/20
=4.8
For median the data has to be arranged in ascending order, so
2, 2,3,3,3,4,4,4,4,5,5,5,5,6,6,6,7,7,7,8
Median will be the average of middle two values as the number of items are odd.
Median=(5+5)/2
=10/2
=5
Range = 8-2 = 6
For Class B:
Mean= x =(Sum of values)/(Number of values)
=80/20
=4
For median, arranging the values
2,2,2,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7
Median=(4+4)/2
=8/2
=4
Range = 7-2 = 5
We get,
Mean of class A > Mean of Class B
Median of Class A > Median of Class B
Range of Class A > Range of Class B
We observe that only option B is correct for the given data sets..
Tyler goes to a school dance. He arrives at 8:12 pm and leaves at 10:45 pm. How long was he at the dance?
Answers
Answer:
2 hours 33 mins
Step-by-step explanation:
Arrives = 8.12 pm
Leaves = 10.45 pm
8.12 pm to 10.12 pm = 2 hours
10.12 pm tp 10.45 pm = 33 minutes
Total
= 2 hours + 33 mins
= 2 hours 33 mins
Answer:
2:33
Step-by-step explanation:
For 8:00 to get to 10:00 add two which means two hours then subtract :45 by :12 which gives you 33 so tyler stayed there for 2 hours and 33 minutes.
Write the equation of the circle in general form.
if anyone can explain this that would be great, if not it's okay, just a little lost on how to do all of this haha
Answers
Answer:
[tex](x +3)^2 + (y-4)^2 = 4[/tex]
Step-by-step explanation:
The general equation of a circle is
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
In this equation, 'r' represents the radius of the circle and (h,k) represents the central point of the circle.
Radius of the circle is half of the diameter = d/2
From figure, ther diameter of the circle is calculated using (y2-y1) or (x2-x1)
In this figure,
y2 = 6
y1 = 2
d = (y2 - y1) = 6-2 =4
This can also be verified using the values of x
x2 = -1
x1 = -5
d = (x2 - x1) = (-1 - -5) = (-1 + 5) = 4
Also,
r = d/2 = 4/2
r = 2
h represents the horizental distance and k represents the vertical distance of the center of the circle from the origan (0,0).
Therefore,
h = 0 - 3 = -3 as the center of circle is 3 units left to the origan
k = 0 + 4 = 4 as the center of circle is 4 units above to the origan
Therefore the equation of circle becomes
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
[tex](x-(-3))^2 + (y-(4))^2 = 2^2[/tex]
[tex](x +3)^2 + (y-4)^2 = 4[/tex]
Please answer right away and don’t guess
Answers
Answer: Third Option
[tex]P (M\ or\ N) = 0.8[/tex]
Step-by-step explanation:
In this case, we have two non-disjoint events.
So the probability of M or N occurring is
[tex]P (M\ or\ N) = P(M) + P(N) - P (M\ and\ N)[/tex]
We know that in this problem
[tex]P(M) = 0.7\\\\P(N) = 0.5[/tex]
[tex]P(M\ and\ N) = 0.4[/tex]
So
[tex]P (M\ or\ N) = 0.7 + 0.5 - 0.4[/tex]
[tex]P (M\ or\ N) = 0.8[/tex]
The answer is the third option
Use complete sentences to explain how to use linear factors to determine the equation of a polynomial function
Answers
Answer: p(x) = a (x-b)(x-c)(x-d)
Step-by-step explanation:
The first step is to determine the degree of the polynomial.
It shall depend totally on the linear factors given for the polynomial.
If there is one, it is a linear polynomial.
If there are 2, then it is a quadratic polynomial.
If there are three then it shall be a cubic polynomial.
Now let us assume that there are three linear factors.
We multiply those factors and write the polynomial.
If x-b, x-c & x-d are the factors we write
p(x) = (x-b)(x-c)(x-d)
But as we may have a leading coefficient so we write the polynomial as
Then we go on to expand this to get the polynomial in the standard form.
Answer with Step-by-step explanation:
First we find the degree of polynomial.
Consider two linear factors
(x-a) and (x-b)
Multiplying these two factors to get the polynomial.
[tex]p(x)=(x-a)(x-b)=x^2-(a+b)x+ab[/tex]
There are two linear factors .
Therefore, the degree of polynomial is 2 and the polynomial is quadratic.
Degree of polynomial=Number of linear factors
If the linear factors are three then the polynomial formed by multiplying theses factors .
Then, we get the polynomial of degree 3 and the polynomial is cubic polynomial.
It we have four linear factors.
After multiplying these four factors, we get a polynomial of degree 4.
The polynomial is bi quadratic.
One carton of eggs contains 12 eggs. Make a table to find the number of eggs in 5, 6, 7, and 8 cartons.
Answers
Given : One carton of eggs contains 12 eggs.
By unitary method we can find the number of eggs in following cartoons :
1 cartoon = 12 eggs
5 cartoons = 12 × 5 = 60 eggs
6 cartoons = 12 × 6 = 72 eggs
7 cartoons = 12 × 7 = 84 eggs
8 cartoons = 12 × 8 = 96 eggs
Answer:
D
Step-by-step explanation:
Of the students at Milton Middle School 126 are girls.35% of the students are girls, how many total students are there at Milton Middle school?
Answers
Answer:360
Step-by-step explanation:
35% of of 100% with 126 being as the part and the whole is missing.You multiply 126 by 100 which equals 12600 divided by 35 which is equals 360.
Answer:
C)
Step-by-step explanation:
If you multiply twice, you will get 70%. If you multiply by three, you will get 378. That is higher than 360. So it's 360(c)
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred
Answers
V≈301.59
I think this is the answer.
Hope this helps!
The answer is 96pi units^3
A circle with radius x is shown below. The diagram is not drawn to scale.
Answers
ANSWER
[tex]11 .6[/tex]
EXPLANATION
x is the radius of the circle.
It is equal to the hypotenuse of the right triangle created by connecting the center and the end of the chord with a straight line.
[tex] {x}^{2} = {5}^{2} + {( \frac{21}{2} )}^{2} [/tex]
[tex]{x}^{2} = 25 + 110.25[/tex]
[tex] {x}^{2} = 135.25[/tex]
[tex]x = \sqrt{135.25} [/tex]
[tex]x = 11.6[/tex]
The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor. The current is 6 amperes when the resistance is 722 ohms. What is the current when the resistance is 768 ohms? Round your answer to two decimal places if necessary.
a.
5.6 amps
b.
0.16 amps
c.
6.4 amps
d.
0.18 amps
Answers
Hence, the correct answer is:
Option : a
a. 5.6 amps
Step-by-step explanation:It is given that:
The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.
This means that:
[tex]I\propto \dfrac{1}{R}[/tex]
Hence, we get the relation as:
[tex]\dfrac{I_1}{I_2}=\dfrac{R_2}{R_1}[/tex]
where [tex]R_1[/tex] is the resistance corresponding to the current [tex]I_1[/tex]
and [tex]R_2[/tex] is the resistance corresponding to the current [tex]I_2[/tex]
We have:
[tex]I_1=6\ ,\ R_1=722\ ,\ R_2=768[/tex]
Hence, we get:
[tex]\dfrac{6}{I_2}=\dfrac{768}{722}\\\\\\i.e.\\\\\\I_2=\dfrac{722\times 6}{768}\\\\\\I_2=5.6406\ amperes[/tex]
Hence, the answer is:
Option : a
There are some black and white buttons in a container.
7/10 of the buttons are black.
The difference between the number of black and white buttons is 24.
How many buttons are there in the container?
Answers
ANSWER
60 buttons.
EXPLANATION
Let the number of buttons in the container be x.
Then the number of buttons that are black are:
[tex] \frac{7}{10} x[/tex]
The number of buttons that are white
[tex] \frac{3}{10} x[/tex]
The difference between the white and the black buttons
[tex] \frac{4x}{10} = 24[/tex]
Solve for x.
[tex]4x = 240[/tex]
[tex]x = \frac{240}{4} [/tex]
[tex]x = 60[/tex]
Hence there are 60 buttons in the container.
The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis? A) 7−11; 11−14; 15−19; 20−22 B) 7−10; 11−14; 15−18; 19−22 C) 7−10; 10−15; 15−19; 19−22 D) 7−13; 15−19; 20−22
Answers
Answer:
I would do answer B if not A.
Step-by-step explanation:
I would do this because then they would be relatively closer in skill set.
The appropriate way to label the age intervals on the x-axis is: Option: B
B) 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:The rule for determining the number of intervals is:
Take the square root of the number of observations to the nearest whole number.Here we have 13 observations
and √(13)=3.6055≈4
Hence, we have a total of four intervals.
The width of each interval is calculated as:
The ratio of range to the total number of intervals.i.e. (22-7)/4=15/4=3.75≈4
We know that for classifying a class interval in a histogram the width of each of the interval must be equal.
A) 7−11; 11−14; 15−19; 20−22
In option: A--
the width of first interval is: 4
width of second interval is: 3
Width of third interval is: 4
Width of fourth interval is: 2
Hence, the width of each interval is not equal.
Hence, option: A is discarded.
C) 7−10; 10−15; 15−19; 19−22
In option: C--
the width of first interval is: 3
width of second interval is: 5
Width of third interval is: 4
Width of fourth interval is: 3
Hence, the width of each interval is not equal.
Hence, option: C is discarded.
D) 7−13; 15−19; 20−22
In option: D--
the width of first interval is: 6
width of second interval is: 4
Width of third interval is: 2
Hence, the width of each interval is not equal.
Hence, option: D is discarded.
B) 7−10; 11−14; 15−18; 19−22
There are a total of 4 intervals and also width of each interval is equal and equal to 4.
Hence, option: B is the correct answer.
What is the value of log 13? Use a calculator. Round your answer to the nearest tenth
Answers
Answer:
log 13 = 1.1139
Step-by-step explanation:
log 13 = 1.1139
Answer:
log 13 = 1.1
Step-by-step explanation:
Given : log 13.
To find : What is the value round your answer to the nearest tenth.
Solution : We have given log 13.
log 13 = 1.113.
Nearest tenth = 1.1
Therefore, log 13 = 1.1
The test grades of 10 different students were used to create the box plot above. Which of the following is the median of the set of grades?
A. 62
B. 80
C. 71
D. 70
Answers
Answer:
the answer is 71
Step-by-step explanation:
On a box and Quaker plot the median is the middle dot is the median so 71
Determine the area of the yellow sector
Answers
The area of the yellow sector is 15/8 π in² in pi form.
find the missing angle measure in this figure A.) 103 degrees B.) 93 degrees C.)113 degrees D.) 83 degrees
Answers
D. 83 deggrees I think hopeful
Answer: D
Step-by-step explanation:
That angle is smaller than a “right angle”. A “right angle” is 90 degrees. Therefore, the missing angle measure is less than 90 degrees.
a scatter plot containing the point(12,12) has the regression equation^y=1/4x+1. what is the residual e when x equals 12
Answers
Answer:
8, substitute 12 into the equation and then subtract it from 12
Step-by-step explanation:
Mrs. Benton prepares a 7 cup green bean casserole. She divides the casserole into equal 1/2 cup servings. If she eats one serving each day, how many days of servings are available? A) 10 days B) 14 days c) 18 days D) 24 days
Answers
Answer:
B
Step-by-step explanation:
7 serving multiplied by 2 is equal to 14
Answer:
the answer is prob B i am i on usatest prep and it is correct
Step-by-step explanation:
HELP PLZ!!
At what points are the equations equal
Answers
Answer:
Step-by-step explanation:
f,d,e
Answer:
F, C, B
Step-by-step explanation:
Just look at where the two graphs intersect and then correspond that point with the color and letter.
Remy recorded the favorite sport of students at his school. He surveyed 500 students. How many students chose Baseball?
(Chart)
Football 45%
Baseball 15%
Basketball 20%
Tennis 20%
Answers
Answer: 75 students
Step-by-step explanation:
15% of 500= 75
How many feet per minute
Answers
Answer:
3.5 feet / per minute
Step-by-step explanation:
3 1/2 feet / minute = 3.5 feet / minute
hope this helps :)
For the following set of data, what is the value of the lower quartile?
150, 68, 101, 99, 140, 132, 81, 129, 75
A. 78
B. 84.5
C. 75
D. 101
Answers
Quartiles are 3 points such that they create four groups in the data. For the following set of data, the value of the lower quartile is 78.
What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.Similarly, the second quartile (also called median) is approximately in mid of the data.The third quartile (also called the upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.Left to right is said in the assumption that data were arranged increasingly from left to right.
The given data set has 9 points, therefore, the first quartile will have the average value of the 2nd and the 3rd number when arranged in increasing order. Therefore, the value of the first quartile will be,
First quartile = (75+81)/2 = 78
Hence, For the following set of data, the value of the lower quartile is 78.
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the ratio of cars to trucks at an auto dealer is 3/2. if there are 144 cars at the dealership, how many trucks are there?
Answers
Answer:
96
Step-by-step explanation:
for every 3 cars there is 2 trucks
If you have 144 cars then we divide 144 by 3 to get 48
That is not the answer though because that would be a 3/1 ratio
We then multiply 48 by 2 to get 96
To find the number of trucks at the dealership, we interpret the ratio 3:2, meaning that for every 3 cars, there are 2 trucks. We figure out that '1' in the ratio is equivalent to 48 vehicles. So, we multiply the trucks component of the ratio (2) by this value to get 96 trucks.
Explanation:To solve this problem, you must interpret the ratio of cars to trucks as 3:2. This means for every 3 cars, there are 2 trucks. We need to use this ratio to find out how many trucks there are if there are 144 cars.
The first step is to figure out what proportion 144 cars represents within the ratio. To find this, we can divide the number of cars by the cars component of the ratio (3) which gives us: 144 ÷ 3 = 48.
Now we know that '1' in our ratio represents 48 vehicles. So to find out how many trucks, we multiply the trucks component of the ratio (2) by this value, which gives us: 48 x 2 = 96 trucks.
Therefore, if there are 144 cars at the dealership, there are 96 trucks.
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Help Please!!!!!!
The equation of a circle is x² + y² - 4x + 2y - 31 = 0. What is the center and the radius of the circle? Show your work.
Answers
Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r = [tex]\sqrt{36}[/tex] = 6
The center of the circle is (2, - 1) and the radius is 6 units.
What are the types of equations of a circle?The equation for a circle has the generic form x² + y² + 2gx + 2fy + c = 0.
The standard equation of a circle is x² + y² = r².
The polar form of the equation of the circle is (rcosθ)² + (rsinθ)² = p².
Given, The equation of a circle is x² + y² - 4x + 2y - 31 = 0.
We know, In x² + y² + 2gx + 2fy + c = 0, The center of the circle is,
(- g, - f) and radius is [tex]\sqrt{g^2 + f^2 - c[/tex].
Therefore, 2gx = - 4x and 2fy = 2y.
2g = - 4 and 2f = 2.
g = - 2 and f = 1.
- g = 2 and - f = - 1.
So, The center is (2, - 1).
And the radius is, [tex]\sqrt{2^2 + -1^2 + 31[/tex].
= [tex]\sqrt{4 + 1 + 31[/tex].
= [tex]\sqrt{36[/tex].
= 6 units.
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Two garden plots are to have the same area. One is square and one is rectangular. The rectangular plot is 2 meters wide and 8 meters long. How large is one side of the square garden plot in meters?
Answers
First, let's look at the formulas for the area of square and area of the rectangle.
[tex]A_{square}=a^2[/tex]
[tex]A_{rectangle}=a\cdot b[/tex]
And what this exercise states is that the areas are the same. So:
[tex]A_{square}=A_{rectangle}\Longrightarrow a^2=a\cdot b[/tex]
Now put in the data.
[tex]a^2=2\cdot8[/tex]
Solve for [tex]a[/tex]:
[tex]a=\sqrt{2\cdot8}=\sqrt{16}=\boxed{4}[/tex]
The side of the square garden plot is 4 meters.
Hope this helps.
r3t40
Consider that X=3/4 and y=1/2 which statement is true about X plus Y
Answers
Answer:
1 and 1/4
Step-by-step explanation:
3/4 + 1/2 = 3/4 + 2/4 = 5/4 = 1 1/4
Answer:
[tex]1\frac{1}{4}[/tex]
Step-by-step explanation:
In order to calculate this you just have to add up both of the values that you are given, and to do that, you first have to convert the the values into the same denominator:
[tex]\frac{1}{2} +\frac{3}{4} =\frac{2}{4}+\frac{3}{4} =\frac{2+3}{4} =\frac{5}{4} =1\frac{1}{4}[/tex]
So the value of the addition of both would be: [tex]1\frac{1}{4}[/tex]
Which number sentence is NOT true?
A. |-6.7| = 6.7
B. |0| < |-45|
C. |45| > 0
D. |6.7| > |-45|
Answers
Answer: D. |6.7| > |-45|
Step-by-step explanation:
When in these | | then any negative number becomes positive. 6.7 is NOT grater than 45.
simplify cotø(tanø+cotø)
Answers
Answer:
[tex]\large\boxed{\cot\theta(\tan\theta+\cot\theta)=1+\cot^2\theta=\dfrac{1}{\sin^2\theta}=\csc^2\theta}[/tex]
Step-by-step explanation:
[tex]\text{Use}\\\\\text{distributive property:}\ a(b+c)=ab+ac\\\cot\alpha\tan\alpha=1.\\\\======================\\\\\cot\theta(\tan\theta+\cot\theta)=(\cot\theta)(\tan\theta)+(\cot\theta)(\cot\theta)\\\\=1+\cot^2\theta\\\\\text{If you want next transformation, then use:}\\\\\cot\alpha=\dfrac{\cos\alpha}{\sin\alpha}\\\\\sin^2\alpha+\cos^2\alpha=1\\\\=======================[/tex]
[tex]=1+\left(\dfrac{\cos\theta}{\sin\theta}\right)^2=1+\dfrac{\cos^2\theta}{\sin^2\theta}=\dfrac{\sin^2\theta}{\sin^2\theta}+\dfrac{\cos^2\theta}{\sin^2\theta}=\dfrac{\sin^2\theta+\cos^2\theta}{\sin^2\theta}\\\\=\dfrac{1}{\sin^2\theta}\\\\\text{If you want next transformation, then use:}\\\\\csc\alpha=\dfrac{1}{\sin\alpha}\\\\=\left(\dfrac{1}{\sin\theta}\right)^2=(\csc\theta)^2=\csc^2\theta[/tex]
help me please
-4.5+4.4+_____=0
Answers
To find the missing value in the equation, we add -4.5 and 4.4 first, then solve for the missing value.
Explanation:To find the missing value, we need to solve the equation. Start by adding -4.5 and 4.4. (-4.5 + 4.4 = -0.1)
Now we have: -0.1 + ___ = 0
To solve for the missing value, subtract -0.1 from both sides of the equation: ____ = 0 + 0.1 = 0.1
The missing value is 0.1.
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Final answer:
The missing value is 0.1.
Explanation:
This expression is a quadratic equation of the form at² + bt + c = 0, where the constants are a = 4.90, b = -14.3, and c = -20.0.
To solve for the missing value, we can rearrange the equation:
-4.5 + 4.4 + ____ = 0
Simplifying the equation, we get:
-4.5 + 4.4 + ____ = 0
-0.1 + ____ = 0
By adding 0.1 to both sides of the equation, we can isolate the missing value:
____ = 0.1
Therefore, the missing value is 0.1.