Answer:
f(x) = [x] - 2 + 8
[x] is the notation for 'greatest integer function'
f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4
The answer is 4
Step-by-step explanation:
The value of the function f(x) = [x] - 2 + 8 when x = -1.8 is 12
Given the function f(x) =[x] - 2 + 8, we need to find f(-1.8)
To get the value of f(-1.8), we will simply substitute x = -1.8 into the function to have:
f(-1.8) = -1.8 - 2 + 8
f(-1.8) = -3.8 + 8
f(-1.8) = 11.8
Since x is in a square bracket, we will round the value up to the nearest whole number, hence;
f(-1.8) = 12
Therefore the value of the function f(x) = [x] - 2 + 8 when x = -1.8 is 12
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Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ 25 đơn vị thì số thứ nhất sẽ bằng 2/3 số thứ 2
Trả lời:
86 và 91
Giải thích từng bước:
Cho hai số là x và y. Nếu tổng của chúng là 177, thì;
x + y = 177 ... 1
Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17
Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25
Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:
x-17 = 2/3 (y + 25) .... 2
Từ 1, x = 177-y ... 3
Thay thế 3 thành 2
177-y-17 = 2/3 (y + 25)
160-y = 2/3 (y + 25)
3 (160-y) = 2 (y + 25)
480-3y = 2y + 50
-3y-2y = 50-480
-5y = -430
y = 430/5
y = 86
Vì x = 177-y
x = 177-86
x = 91
Do đó hai số là 86 và 91
QUESTION 1: Diagram NOT accurately drawn.
OAP is a triangle.
O to A=a
O to B=b
P is the point on AB such that AP: PB = 3:1
(b) Find OP in terms of a and b.
Give your answer in its simplest form.
Answer:
1/4a+3/4b
Step-by-step explanation:
OP=OA+AP
OA=a
AP=3/4AB
AB=-a+b
thus AP=3/4(-a+b) which is-3/4a+3/4b
OP=a-3/4a+3/4b thus 1/4a+3/4b
what is the solution to Y=-2x²+4x+8
Y=-4x+16
Hi there!
[tex]\large\boxed{(2, 8)}[/tex]
Solve by setting the two equations equal to each other:
-2x² + 4x + 8 = -4x + 16
Move all terms to one side:
-2x² + 4x + 4x + 8 - 16 = 0
Simplify:
-2x² + 8x - 8 = 0
Factor out a negative 2 from each term:
-2(x² - 4x + 4) = 0
Factor:
-2(x - 2)² = 0
Set the factor equal to 0 to solve:
(x - 2)² = 0
x - 2 = 0
x = 2
Substitute this value of x into an equation to find the shared y value:
y = -4(2) + 16 = 8
What is the interquartile range of this data set? 1,5,12,14,29,45,48,61,72,84,96
Answer:
60
Step-by-step explanation:
Q1 = 12
Q3 = 72
the interquartile range = Q3-Q1 = 72-12 =60
which of the following equations is an example of direct variation?
Answer:
C
Step-by-step explanation:
[tex] \frac{x}{3} [/tex]
Nishi invests £3200 at 6% interest per year. Work out how much she will have altogether after: 2 years
SI = P×R×T/100
(3200×6×2)/100
= 384
Now 3200 + 384
= Euro 3584
solve for x the triangles are the same
Answer: x=8
Step-by-step explanation:
So to begin with we need to find the connection being that they are the same triangle but with a dilation. We need to find the dilation by matching the new angles with each other H=E F=C and D=G. We need to find the relation ship between CD and FG. 65 divided by 24= 2.6 take ED and multiply 2.6 to find HG. HG= 91. Now we need to find x. 8 times x+ 3=91. Find the closest eight multiple to 91 which is 8 times 8= 88 and add 3 to see it makes 91.
8 is your answer.
Joanna bakes a cake in the shape of a
cylinder. The cake is 10 inches in
diameter and 4.5 inches tall. She
wants to put frosting on the entire
cake that is not resting on the tray.
How many square inches of frosting
will she need? im confused on how to do the work. please answer quickly
Answer:
total surface area = 298.45105 m2
lateral surface area = 141.37155 m2
top surface area = 78.53975 m2
bottom surface area = 78.53975 m2
Step-by-step explanation:
Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.
To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.
The formula for the surface area of a cylinder is given by:
Surface Area = 2πr² + 2πrh
Where r is the radius of the base and h is the height of the cylinder.
Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.
Plugging in the values, we have:
Surface Area = 2π(5)² + 2π(5)(4.5)
Simplifying the equation:
Surface Area = 2π(25) + 2π(22.5)
Surface Area = 50π + 45π
Surface Area = 95π
To find the actual numerical value, we can approximate π as 3.14:
Surface Area ≈ 95 * 3.14
Surface Area ≈ 298.3 square inches
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John walked from town A to Town B at a uniform speed of 4km/hr.When he reached town B ,he was turned back immediately and he walked back to town A along the same road at a uniform speed of 6km/hr.What is his average speed for the whole trip?
Answer:
His average speed for the whole trip is 5km/hr
Step-by-step explanation:
Answer:
4.8 km/hr
Step-by-step explanation:
Assume that the distance is 24 km (evenly divisible by 4 & 6)
then the A-B time would be 24/4 or 6 hrs.
on the return the time would be 24/6 or 4 hrs.
total time 10 hrs total distance 48 km....
48/10 = 4.8 km/hr
A group of random people were polled about whether they prefer to communicate using text messages or by phone calls. The results are shown in the conditional relative frequency table by row.
A 4-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled text with entries 0.57, 0.46, 0.50. The third column is labeled call with entries 0.43, 0.54, 0.50. The fourth column is labeled total with entries 1.00, 1.00, 1.00.
What is the probability of someone preferring phone calls, given the person is a female?
43%
46%
54%
57%
Answer:
C. 54%
Step-by-step explanation:
Answer:
C. 54%
Step-by-step explanation:
What is the slope of the line containing (-3, 5) and (6, -1)?
O A. -1
O B.-2/3
O C. 1
OD. 2/3
Answer:
-2/3
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:
[tex]\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}[/tex]
kx - c = 9 solve for x
Answer:
x = [tex]\frac{9+c}{k}[/tex]
Step-by-step explanation:
Given
kx - c = 9 ( add c to both sides )
kx = 9 + c ( isolate x by dividing both sides by k )
x = [tex]\frac{9+c}{k}[/tex]
Terri is buying some candy at the corner store. There, small candies cost 10 1 point cents each and large ones cost 25 cents each. Terri bought 52 candies and spent $8.05. A system of equations describing this situation could be written in the form below where S represents the number of small candies and L represents the number of large candies. What is the sum of A, B, C and D? *
hi my name how are you home work sind
7 is subtracted from the product of 6
Answer:
product =7×6=42
subtract 42-7=35
Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
Answer:
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4
Step-by-step explanation:
The given function is presented as follows;
[tex]f(x) = \dfrac{2}{x - 1} + 4[/tex]
From the given function, we have;
When x = 1, the denominator of the fraction, [tex]\dfrac{2}{x - 1}[/tex], which is (x - 1) = 0, and the function becomes, [tex]\dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty[/tex] therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote
Also we have that in the given function, as x increases, the fraction [tex]\dfrac{2}{x - 1}[/tex] tends to 0, therefore as x increases, we have;
[tex]\lim_ {x \to \infty} \dfrac{2}{(x - 1)} \to 0, and \ \dfrac{2}{(x - 1)} + 4 \to 4[/tex]
Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1
When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, [tex]\dfrac{2}{0 - 1} + 4 = 2[/tex]. When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left
Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
Answer:
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4
Step-by-step explanation:
The given function is presented as follows;
From the given function, we have;
When x = 1, the denominator of the fraction, , which is (x - 1) = 0, and the function becomes, therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote
Also we have that in the given function, as x increases, the fraction tends to 0, therefore as x increases, we have;
Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1
When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, . When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left
Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
HELP ME ASAP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
y = 3x ..... 1:3
y=9x ...... 1:9
Step-by-step explanation:
highest common factor of 28,40,12 and 24
Answer:
4
Step-by-step explanation:
We want to find the highest common factor
Breaking them into factors
28 = 4*7 = 2*2*7
40 = 4*10 = 2*2*2*5
12 = 4*3 = 2*2*3
24 = 3*8 = 3*2*2*2
The factor that appears in all is 2*2
2*2 =4
Answer:
4
Step-by-step explanation:
28÷4=7
40÷4=10
12÷4=3
24÷4=6
7, 10, 3 and 6 cannot be divided by any same number.
Find the slope (-2,5),(2,9)
Answer:
1
Step-by-step explanation:
Let,
x1 = - 2
y1 = 5
x2 = 2
y2 = 9
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 9 - 5 ) ) / ( 2 - ( - 2 )
= 4 / 4
= 1
Answer:
slope is 1
Step-by-step explanation:
from (-2, 5) to (2,9)
slope m= (y2-y1) / (x2-x1) = (9-5) / (2- -2) = 4 / 4 =1
*
you can think of how do you get from one point to the other
first point (-2, 5) go to second point (2,9)
-first on the y-axis (vertical) you start at 5 and go four up to get to 9
-second on the x-axis (horizontal) you start at -2 and go four right to get to 2
slope = change in y / change in x = four up /four right = 4/4 = 1
-moving down or to the left will make the numbers negative
If the length of rectangle is x + 4 and the width is 3x - 5 what is the perimeter?
Answer:
8x-2
Step-by-step explanation:
l = x+4
w = 3x-5
The perimeter is
P =2(l+w)
= 2(x+4+3x-5)
Combine like terms
= 2(4x-1)
Distribute
= 8x-2
Answer:
[tex]8x-2[/tex]
Step-by-step explanation:
The perimeter of a rectangle is 2L + 2W, where L represents the length and W represents the width. In this scenario, L is equal to x + 4 and W is equal to 3x - 5. We can setup an equation:
[tex]2(x+4)+2(3x-5)[/tex]
We can then multiply x - 4 by 2 to get [tex]2x+8[/tex]
We can then multiply 3x - 5 by 2 to get [tex]6x-10[/tex]
Adding them together, we get the answer as [tex]8x-2[/tex]
Find the volume of each figure. Round your answers to the nearest tenth, if necessary
Answer:
437.9
Step-by-step explanation:
Volume is pi*r^2*h=pi*(49)*9=437.9
A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 140
contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75
one-headed Jolos.
One-headed Two-headed Total
Green 30
Purple
45
Total
75
140
How many green Jolos are there in Balan's colony?
Answer:
30 green jolos
Step-by-step explanation:
in the problem itself it states this "Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jolos.".
There are green Jolos are there in Balan's colony are 30 green jolos.
We have given that,
A faraway planet is populated by creatures called Jolos. All Jolos are either green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 140.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75 one-headed Jolos.One-headed Two-headed Total
Green Purple
30 45
Total 75 140
In the problem itself, states this Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jools.
Therefore there are green Jolos are there in Balan's colony are 30 green jolos.
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A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green.
It is spun twice.
What is the probability of getting 2 different colours?
Answer:
11/30
Step-by-step explanation:
im stuck between B and D please help
Answer:
maybe it's D ( not sure tho)
77 yd
36 yd
What is the length of the hypotenuse?
C =
yards
Answer:
c = 85 yd
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )
c = [tex]\sqrt{7225}[/tex] = 85
Answer:
[tex]85yd[/tex]
Step-by-step explanation:
According to PYTHAGORAS Theorem,
[tex] {c}^{2} = {77}^{2} + {36}^{2} \\ {c}^{2} = 5929 + 1296 \\ {c}^{2} = 7225 \\ c = \sqrt{7225} \\ c= 85yd[/tex]
29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75
Classify this triangle
A) Acute scalene triangle
B) Obtuse isosceles triangle
C) Right isosceles triangle
D) Right scalene triangle
Answer C Right Isosceles Triangle
Step-by-step explanation:
Do it
Answer: C
Step-by-step explanation:
It has a 90 degree angle, right triangle, and both legs in the triangle seem to be the same size, so it's also isosceles.
Solve for . Round to the nearest tenth of a degree, if necessary.
3.9
2.2
Answer: 2 =
Submit Answer
attempt 1 out of 2
PLSSS HELp
Answer:
x = 60.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan x = 3.9/ 2.2
Taking the inverse tan of each side
tan ^-1 (tan x )= tan ^-1(3.9/ 2.2)
x=60.57254
To the nearest tenth
x = 60.6
math class 10
the compound amount of rupees 4000 for 3 years is 5500 rupees find the compound interest
Answer:
11%
Step-by-step explanation:
Compound Interest Formula: initial ( 1 + interest rate )^time = final amount
Let compound interest be x
4000(1+x)^3 = 5500
Divide both sides by 4000
4000(1+x)^3 / 4000 = 5500/4000
Cube root both sides
[tex]\sqrt[3]{(1+x)^3} =\sqrt[3]{11/8}[/tex]
1 + x = 2.22398 / 2
1 + x = 1.11199
Minus both sides by 1
1 + x = 1.11199
-1 -1
x = .11199 = 11%
4.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. quadratic; y = 0.62x2 + 89
B. exponential; y = 89 • 0.62x
C. linear; y = 0.62x + 89
D. quadratic; y = 89x2 + 0.62
Answer:
B. exponential; y = 89 • 0.62x
Step-by-step explanation:
Answer:
exponential; y = 89 • 0.62^x
...............................................................................................................................................
Answer:
Option B exponential y = 89 · 0.62x
Step-by-step explanation:
The table shows the estimated number of deer living in a forest over a five year period.
Year Number of deers
0 89
1 55
2 34
3 21
4 13
Now we have to find the model representing this situation. Difference in number of deer, in the forest.
We can see there is a common ratio between each successive term r = = 0.618
r = = 0.618
so it can be represented by an exponential model.
Option B is the answer.
...............................................................................................................................................
insert 3 rational no. between 4/13 and 1/13
Answer:
2/13,3/13,4/13....
hope it helps
Answer:
Step-by-step explanation:
4/13=40/130
1/13=10/130
numbers between 10/130 and 40/130 are 11/130,12/130,13,130 ,...,39/130.
we can select any three out of these.
