Answer:
6
Step-by-step explanation:
simplify √(x^2-10x+25) if -5≤x<5
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's simplify ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 10x + 25 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 5x - 5x + 25 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{} (x- 5) - 5(x - 5) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) (x - 5) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: (x- 5) [/tex]
value x lies between :
[tex]\qquad \sf \dashrightarrow \: - 5 \leqslant x \leqslant 5[/tex]
if the value of x is taken -5
[tex]\qquad \sf \dashrightarrow \: - 5 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - 10[/tex]
if value of x is taken as 5
[tex]\qquad \sf \dashrightarrow \:5 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \:0[/tex]
So, the possible values of the required expression lies between ~
[tex]\qquad \sf \dashrightarrow \: - 10 \leqslant \sqrt{ {x}^{2} - 10x + 25 } < 0[/tex]
I hope you understood the whole procedure. let me know if you have any doubts in given steps ~
pls give the steps as well
Answer:
-6.4
Step-by-step explanation:
√2(√3×2 - √1×8) = -6.41472901342
Round to the nearest tenth = -6.4
I am very confused about this but only need the answer.
Please Help
Answer:
C
Step-by-step explanation:
The radius of circle 2 is bigger than circle one, so the diameter will be bigger too.
The circumference of the circle 1 is less than the circumference of the circle 2.
What is circumference?Circumference is "a distance around the circle".
According to the question,
The area of the circle 1 is 6π and the area of the circle 2 is 7π.
Area of the circle = π.r²
Radius of the circle 1 is less than the radius of the circle 2 this implies diameter of the circle 2 is greater than diameter of the circle 1.
Hence, the circumference of the circle 1 is less than the circumference of the circle 2.
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what is the value of x
Answer:
x= 96
Step-by-step explanation:
I know this is might not be the best reasoning, but if 56+40=96, then the other consecutive angle should be 96 degrees by the Consecutive Interior Angles theorem.
Select the correct line plot that accurately shows the data set above.
Answer:
B
Step-by-step explanation:
1,2 2,3 1,6 1,9 3,10 2,11 1,13 3,15 3,16 2,17
x,y
x= how many goals they made were the same
y= the actual number of soccer goals
(This is just how I organized how to make the chart)
Tua wanted to teach his pet raven to count because they are very smart birds. He used various fruits and nuts to represent numbers. A peanut = 1 A grape = 2 peanuts 14 is represented by an acorn and 3 grapes. An acorn is worth half a plum. What is the value in fruits and nuts, of two plums and a peanut, divided by a grape and a peanut?
The value of two plums and a peanut, divided by a grape and a peanut is 11
How to solve the expression?The given parameters are:
Peanut = 1Grape = 2 Acorn + 3 grapes = 14Acorn = 1/2 PlumSubstitute Grape = 2 in Acorn + 3 grapes = 14
Acorn + 3 *2 = 14
Acorn + 6 = 14
Subtract 6 from both sides
Acorn = 8
Substitute Acorn = 8 in Acorn = 1/2 Plum
8 = 1/2 Plum
Multiply both sides by 2
Plum = 16
So, we have:
Peanut = 1
Grape = 2
Acorn = 8
Plum = 16
The value of two plums and a peanut, divided by a grape and a peanut is:
(2 plums + peanut)/(grape + peanut)
This gives
(2 * 16 + 1)/(2+ 1)
Evaluate
11
Hence, the value of two plums and a peanut, divided by a grape and a peanut is 11
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A jar contains 32 red marbles numbered 1 to 32 and 38 blue marbles numbered 1 to 38. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions.
(a) The marble is red. P(red)=
(b) The marble is odd-numbered. P(odd)=
(c) The marble is red or odd-numbered. P(red or odd) =
(d) The marble is blue or even-numbered. P(blue or even) =
Answer:
(b)the marble is odd-numbered.P(odd)=
1
math
math geniuses pls help!!!
pls check other questions as well thanks,!
Using the given box and whisker plot, it is found that the mean most likely exceeds the median for Elaine, hence option B is correct.
What does a box and whisker plot shows?A box and whisker plot shows three things:
The 25th percentile, which is the median of the bottom 50%.The median.The 75th percentile, which is the median of the upper 50%.In this problem:
The plot for Sarah is right-skewed, due to the proximity of the 25th percentile and the median. In a right skewed plot, the mean is less than the median.For Elaine, it is left-skewed, due to the proximity of the median to the 75th percentile. In a left skewed plot, the mean exceeds the median.The mean most likely exceeds the median for Elaine, hence option B is correct.
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A square with diagonals is shown. the distance from one point to the middle point is x. the length from the center point to another point is x. the length of a side is 8. the figure is a square. its diagonals meet to form four right angles. what is the approximate value of x? 2.8 units 3.3 units 4.0 units 5.7 units
The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units
Properties of a square.All the sides are equal.Opposite sides are parallel to each other.The diagonal intersects at right angle.Using Pythagoras theorem the value of x can be found as follows:
c² = a² + b²
where
c = hypotenuse a and b are other legsTherefore,
8² = x² + x²
64 = 2x²
x² = 64 / 2
x = √32
x = 5.65685424949
x = 5.7 units
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Answer: 5.7 units
Step-by-step explanation:
Find the measure of the missing angles.
What am I supposed to do? Someone please help I frl will Lu.v 697 forever
Answer:
From the given diagram m>2 and m>3 are supplementary angles because they sum upto 180 degrees and m<2 and m<4 are vertically opposite angles5x + 12= 6x - 36
I’m bored
Answer:
x = 48
Step-by-step explanation:
5x + 12 = 6x - 36 ( subtract 6x from both sides )
- x + 12 = - 36 ( subtract 12 from both sides )
- x = - 48 ( multiply both sides by - 1 )
x = 48
Step-by-step explanation:
______________________5x + 12 = 6x - 36
5x + 12 - 6x = - 36
- x = - 36 - 12
- x = - 48
Now change the sign of both side of the equation...
x = - ( - 48)
x = 48...
______________________can someone help me Im lost here
Answer:
walk area = 125.6 m²
Step-by-step explanation:
You are asked for the area of a sidewalk of given width that is around a circle of given radius. The pattern you're asked to fill in would have you compute the area of the inner circle, and of the outer circle, then find the difference between the areas.
__
The formula for the area of a circle is ...
A = πr²
bigger circleThe radius is shown as 11 m, so its area is ...
A = π(11 m)² = 121π m² = 379.94 m²
smaller circleThe radius is shown as 9 m, so its area is ...
A = π(9 m)² = 81π m² = 254.34 m²
area differenceThe difference between the two areas is ...
walk area = big circle area - small circle area
walk area = 379.94 m² -254.34 m² = 125.6 m²
_____
Additional comment
The area can also be computed by multiplying the centerline length of the sidewalk by its width. The center of the walk is (9+11)/2 = 10 m from the centers of the circles, so the circumference (centerline length) is
C = 2πr = 2(3.14)(10 m) = 62.8 m
The width of the sidewalk is 11 -9 = 2 meters, so its area is ...
(2 m)(62.8 m) = 125.6 m² . . . . sidewalk area
if a square is drilled out from a cylinder what will be the lateral surface area,total surface area,base area and the volume of the cylinder
The cylinder is a three-dimensional shape and it has a radius, diameter and a height
How to determine the lateral surface area?Assume the square has the following dimensions:
Base dimensions = x
Height = h
Assume the cylinder has the following dimensions:
Radius = r
Height = h
When the square is drilled out, the lateral surface area would be:
Lateral Area = Cylinder - Square
This gives
[tex]Lateral = 2\pi rh - 4xh[/tex]
Factor out 2h
[tex]Lateral = 2h( \pi h - 2x)[/tex]
How to determine the total surface area?Using the same dimensions in (a), we have:
Total surface Area = Cylinder - Square
This gives
[tex]Area = 2\pi r(r +h) - 2(2x^2 - xh)[/tex]
Factor out 2
[tex]Area = 2[\pi r(r +h) - (2x^2 - xh)][/tex]
How to determine the base area?Using the same dimensions in (a), we have:
Base area = Cylinder - Square
So, we have:
[tex]Base = \pi r^2 - x^2[/tex]
How to determine the volume?Using the same dimensions in (a), we have:
Volume = Cylinder - Square
So, we have:
[tex]Volume = \pi r^2h - x^2h[/tex]
Factor out h
[tex]Volume = h(\pi r^2 - x^2)[/tex]
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The price of a box of colored pencils increased from $8.00 to $8.48. What was the percent increase in the price?
Step-by-step explanation:
100% = $8.00
1% = 100%/100 = 8/100 = $0.08
the price went up by $8.48 - $8.00 = $0.48.
how many % is this ?
as many % as 1% fits into this difference :
0.48 / 0.08 = 6%
the price increase was 6%.
W
Which inequality represents this problem?
• Jerry has $30 in his savings account, and he deposits $6 each month.
• Amber has $80 in her savings account, and she does not make any
additional deposits or withdrawals.
After how many months, m, will Jerry have more money in his account than
Amber?
OA. 80> 30 + 6m
OB. 30+6m> 80 + 6m
OC. 6+30m> 80
OD. 30+ 6m> 80
What is the degree measure of major
arc QTS?
Answer:
320
Step-by-step explanation:
20*2 = 40
360 - 40 = 320
11
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13
14
15
16
17
18
19
20
Which equation is equivalent to 4x+3 = 64?
O 2x+6=24
O 22x+6=26
O 42x+6 - 42
O 4X+3 - 46
Answer:
Answer is 2^2x+6=2^6 since it is equivalent to 4^x+3=64
The equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
The given equation is [tex]4^x^+^3=64[/tex]
Four to the power of x plus three equal to sixty four
x is the variable in the equation
We have to find the equivalent equation
We know that 2×2×2× 2×2×2 , 2⁶=64
[tex]4^x^+^3=2^6[/tex]
Now [tex](2^2)^x^+^3=2^6[/tex]
[tex]2^6^x^+^6=2^6[/tex]
Hence, the equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
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Which best describes the three-dimensional figure that can be made from the net shown?
a triangular prism that might not have 4 congruent and equilateral triangles
a triangular pyramid that might not have 4 congruent and equilateral triangles
a triangular prism that must have 4 congruent and equilateral triangles
a triangular pyramid that must have 4 congruent and equilateral triangles
Answer:
Option C
Step-by-step explanation:
See here the net seems like a equilateral triangle
And another equilateral traingle is inscribed in itSo 4 equilateral trianglesHence option C
What number when added to 1 1/3 is 2
Answer:
2/3 or .66 repeated
Step-by-step explanation:
1 1/3= 1.33
1.33 + .66..7 is 2
Answer:
[tex]\huge\boxed{\sf x = \frac{2}{3}}[/tex]
Step-by-step explanation:
Let the number be x
Given condition:
[tex]\displaystyle 1 \frac{1}{3} +x=2\\\\Subtract\ 1\frac{1}{3} \ to \ both \ sides\\\\x = 2-1\frac{1}{3} \\\\x = \frac{2 \times 3}{1 \times 3} - \frac{4}{3} \\\\x = \frac{6}{3} - \frac{4}{3} \\\\x=\frac{6-4}{3} \\\\\boxed{x = \frac{2}{3}} \\\\\rule[225]{225}{2}[/tex]
On a coordinate plane, rhombus w x y z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2). rhombus wxyz is graphed on a coordinate plane. what is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units
The area of the rhombus is 24 square units.
What is a Rhombus?This has to do with the quadrilateral that each side are of the same length.
Calculations and Parameters:Given the data:
Length WY is 3 - (-5) = 8 units.
Length XZ is 4 - (-2) = 6 units.
Hence, the area of the rhombus WXYZ is 1/2 of the diagonal length:
1/2 * 8 * 6
= 24 square units.
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Answer:
A
Step-by-step explanation:
(3,7), (1,8)
find the distance between each pair of points
Answer:
[tex]\sqrt{241}[/tex]
Step-by-step explanation:
3+1=4
7+8=15
4^2=16
15^2=225
16+225=241
[tex]\sqrt{241}[/tex]
Please help! lol and thanks to whoever helps
[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ h=1.8\\ L=4.2\\ V=26.46 \end{cases}\implies \begin{array}{llll} 26.46=(4.2)w(1.8)\implies 26.46=7.56w \\\\\\ \cfrac{26.46}{7.56}=w\implies 3.5=w \end{array}[/tex]
Put the functions, with their corresponding intervals, in order from least to greatest according to their average rates of change over those intervals.
Answer
Step-by-step explanation:
easy
3[(x^3 -7x+1) - (x+4)]
О А. 3х³ - 24х-9
О B. х-8х-3
0 С. 3x²-5x-6
O D. 3x²-6x+15
Answer:
A
Step-by-step explanation:
You have to simplify the brackets in turn.
3 times x^3- 7x+1 = 3x^3- 21x+ 3
then do 3 times x + 4= 3x + 12
you then add them all together, if they have a power add them, if they just have an x add them, and if they are just a number add them.
So it goes to 3x^3- 24x - 9,
this is because 3x^3 cant be added/ subtracted by anything, -24x is made from -21x- 3x, and -9 is made from 3 - + 12, so this means 3 - 12 = -9.
I hope this helps, have a lovely day.
in need of some help <3
If ∆ABC~∆XYZ, area (∆ABC) : the area (∆XYZ) = 4:9, then AB:XY is...
Answer:
AB : XY = 2 : 3
Step-by-step explanation:
We know that :
area ∝ length²So, if the areas ΔABC and ΔXYZ are in the ratio 4 : 9, then :
ΔABC : ΔXYZ ∝ AB² : XY²4 : 9 ∝ √4 : √94 : 9 ∝ 2 : 3Steve is painting the ceiling of a room. the ceiling is in the shape of a rectangle. he has enough paint to cover 198 square feet. the length of the ceiling is 13 feet longer than its width. what are the dimensions of the ceiling? need help asap
Answer:
Width = 9ft.
Length=22ft.
Step-by-step explanation:
Shara collected two different data sets and labeled them data set S and data set T. Data set S has a correlation coefficient of −0.91, and data set T has a correlation coefficient of 0.89.
Part A: Which data set has a stronger linear relationship?
Part B: How do you know this?
Select two answers, one for Part A and one for Part B.
Data set T has strong linear relationship as it is a perfect positive correlation
What is Correlation Coefficient ?
A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.
In other words, it reflects how similar the measurements of two or more variables are across a dataset.
When one variable changes, the other variables change in the same direction or opposite direction.
Perfect positive correlation :When one variable changes, the other variables change in the same direction.
Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.
Part A &B : Data set T has strong linear relationship as it is a perfect positive correlation
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In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 9 centimeters and b = 3 centimeters, what is c? If
necessary, round to the nearest tenth.
4) c = ?
centimeters
Answer:
c=9.5 centimeters
Step-by-step explanation:
a^2+b^2=c^2
9^2+3^2=c^2
90=c^2
c=[tex]\sqrt{90}[/tex]
c=9.487
c=9.5
Complete this statement:
10x^3a+6xa^2=2xa( )
Answer:
2xa(5x^2 + 3a).
Step-by-step explanation:
We are factorising:-
Divide the left side by 2xa and place the result in the parentheses:
10x^3a+6xa^2 = 2xa(5x^2 + 3a )
Answer:
2xa(5x² +3a-1)
Step-by-step explanation:
10x³a+ 6xa²-2xa=2xa-2xa
10x³a+ 6xa²-2xa=0
Factor 10x³a+ 6xa²-2xa:
2ax(5x² + 3a -1)