Answer:
7.5 cm
Step-by-step explanation:
A rod 123.75 cm long is sawn into 16 equal lengths.
The length of each rod is calculated as:
123.75cm/16 =
= 7.734375cm
If a wastage takes place of ¼ cm for each saw cut,
The length of each piece is calculated as:
7.734375cm - 1/4 cm
7.734375cm − 0.25 cm
7.484375cm
Approximately = 7.5 cm
Therefore, the length of each piece = 7.5 cm
Solve.
5. The graph of f(x)= x is reflected across the x-axis. The graph is then
translated 11 units up and 7 units to the left. Write the equation of the
transformed function.
Given:
The function is:
[tex]f(x)=x[/tex]
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left.
To find:
The equation of the transformed function.
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If k<0, then the graph is reflected across the x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left. So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get
[tex]g(x)=(-1)f(x+7)+11[/tex]
[tex]g(x)=-(x+7)+11[/tex] [tex][\because f(x)=x][/tex]
[tex]g(x)=-x-7+11[/tex]
[tex]g(x)=-x+4[/tex]
Therefore, the required function is [tex]g(x)=-x+4[/tex].
find the time in which a train of length 132 M will cross and electric post if the speed of the train be to 6.4 km /hour
Answer:
It will take the train 1.2375 minutes to pass the tunnel
Step-by-step explanation:
Mathematically, we know that ;
time = distance/ speed
The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000
We have this as 132/1000 = 0.132 km
So, we have the time as;
0.132 km/6.4 km/hr = 0.020625 hr
Mathematically, we know that 60 minutes make an hour;
so we have
0.020625 * 60 = 1.2375 minutes
10. SImplify. Write using rational exponents. Be sure to show any work and simplify your answer
Answer:
Step-by-step explanation:
Hope this helps u!!
test the validity of these statement "if my brother stands first in the class, i give him a watch . Either he stood first or I was out of the station I did not give my brother a watch this time . Therefore I was out of station.
Answer: yeah looks logically correct
Step-by-step explanation: I he got the watch he was 1st
Fact is he didn't get the watch therefore he wasn't first
Therefore 2nd holds true also - if not first then not in station
No watch = not in station
what do you means by. India gate
Answer:
The India Gate (formerly known as the All India War Memorial) is a war memoria)
Step-by-step explanation:
it's a place
Which expression is equivalent to the expression below? 4 x 2/3 A.
A. 6 x 1/3
B.10 x 1/3
C. 2 x 1/3
D. 8 x 1/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Simplifying it:}[/tex]
[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{4}{1}\times\dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{8}{3}}[/tex]
[tex]\rightarrow\large\text{Finding out what is equal to: }\rm{\dfrac{8}{3}}\leftarrow[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\huge\text{Option A.}[/tex]
[tex]\mathbf{6\times \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{6}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{6\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{6}{3}}[/tex]
[tex]\mathbf{= 2}[/tex]
~~~~~
[tex]\rm{\bf 2 \neq \dfrac{8}{3}}[/tex]
~~~~~~
[tex]\huge\text{Option B.}[/tex]
[tex]\mathbf{10\times \dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{10}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{10\times1}{1\times 3}}[/tex]
[tex]\mathbf{= \dfrac{10}{3}}[/tex]
~~~~~~
[tex]\rm{\bf \dfrac{10}{3} \neq \dfrac{8}{3}}[/tex]
~~~~~~
[tex]\huge\text{Option C.}[/tex]
[tex]\mathbf{2\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{2}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{2\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{2}{3}}[/tex]
~~~~~
[tex]\rm{\bf \dfrac{2}{3} \neq \dfrac{8}{3}}[/tex]
~~~~~
[tex]\huge\text{Option D.}[/tex]
[tex]\mathbf{8\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{8}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{8\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{8}{3}}[/tex]
~~~~~
[tex]\rm{\dfrac{8}{3} = \dfrac{8}{3}}\large\checkmark[/tex]
~~~~~
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{Option\ D. 8\times \dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
help please! the question is in the picture below for reference when answering! thank you so much!
Answer:
101°
Step-by-step explanation:
In the rightmost triangle the missing angle is:
180° - 51° - 90° = 39° . 90° comes from the other angle in the straight horizontal line, because there is a 90° on the other side
In the leftmost triangle, the missing angle is:
180° - 90° - 50° = 40° . 50° comes from 180° - 130°
In the straight line
ABC = 180° - 40° - 39° = 101°
Answer = 101°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Evaluate the expression when a = 4 and c= -6
-a + 3c
Answer:
-22
Step-by-step explanation:
if a = 4, then it will be
-4 + 3(-6)
-4 - 18
which will be equal -22
4 + 3 × -6 = -22
Your welcome! :)
Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.
Answer:
397
Step-by-step explanation:
Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;
Por teorema del resto, tenemos;
p (x) = (x - a) · Q (x) + R
Dónde;
p (x) = El número, que se divide
Q (x) = El cociente
(x - a) = El divisor
R = El resto
Dado que el número más pequeño es 4, el resto, 0 <R <4
Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;
R = 1
Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;
(x - a) · Q (x) = 396
R = 1, dar;
p (x) = 396 + 1 = 397
Por lo tanto;
El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397
6.
Determine the range of the following test scores.
History Test 2 Scores (out of 100)
95
92
89
88
85
85
84
80
78
73
72
72
70
68
67
62
59
52
40
32
a.
95
b.
32
72
c.
d.
63
Answer:
63 is the range of the following test scores.
Step-by-step explanation:
1. The largest number is 95.
2. The smallest number is 32.
3. The range is the difference between the largest and the smallest number.
4. Subtract 95 - 32 which equals 63.
5. 63 is the range of the following test scores.
Please help me i'm struggling!
Answer:
c
Step-by-step explanation:
Answer:
x is greater than or equal to 3
So it is the first answer.
what is the answer? becuase i am just confused
Answer:
Step-by-step explanation:
radius of circle is 12
also there is 2 right angles in the triangle if you wanted to solve this problem yourself
but here's the answer:
arc angle of the triangle inside the sircle is double the angle closest to x.
(the pointy area of the triangle is half the angle length of the arc)
i can add more though:
Please help me‼️
Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane
Answer:
B, D, EStep-by-step explanation:
Straight line equation is in the form of:
ax + by = cLets verify the options:
A- no, simplified, it is 1 + xy = 9xB- yesC- no, because of y²D- yesE- yesF - no, simplified it is a quadratic equationFind the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.
write the set builder form of
{1, 1/4, 1/9, 1/16, 1/25}
A-which temperature is warmer, -2 degrees Celsius or, -5 degrees Celsius B-Write and inequality to express the relationship between -2 and -5
Answer:
Step-by-step explanation:
On a number line, -2 appears to the right of -5, and therefore -2 is warmer than -5. (Answer A)
The difference between -2 and -5 is -2 - (-5) = 5 - 2 = 3 degrees C (Answer B)
In other words, -2 is 3 degrees C warmer than -5 degrees C.
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer: 3 7/12
Step-by-step explanation:
1. Solving the whole number
4-1=3
2. Solving the fraction parts
3/4 - 1/6=
Find the LCM. The LCM is 12 so we rewrite the factions like this:
9/12-2/12=7/12
3. Add.
3+ 7/12= 3 7/12
Hey there!
4 3/4 - 1 1/6
= 19/4 - 7/6
= (19 × 6) - (7 × 4) / 4 × 6
19 × 6 = 114
7 × 4 = 28
= 114 - 28 / 4 × 6
4 × 6 = 24
114 - 28 / 24
114 - 28 = 86
= 86/24
= 3 7/12
Answer: 86/24 OR 3 7/12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Is this correct!! Can someone verify!!
Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.
Answer:
Y = -1x - 1
Step-by-step explanation:
I used desmos graphing calculator and tried until I got a line that worked. It passes through (2, -3) and has a slope of -1
Hope this helped :)
Would appreciate any assistance
Answer:
The answer is 37
Step-by-step explanatio
Please help first correct will get brainliest. JKL PQR find the value of x
Answer:
x = 30
Step-by-step explanation:
If two triangle are similar then the measure of their corresponding sides are
proportional.
[tex]\frac{JL}{PQ} = \frac{JK}{PR}\\\\\frac{20}{x} = \frac{24}{36}\\\\x \times 24 = 20 \times 36[/tex] [tex][ \ cross \ multiply \ ][/tex]
[tex]x = \frac{20 \times 36}{24}\\\\x = 5 \times 6 = 30[/tex]
The width of classroom is 4 meters less than the length, and the area is 192m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom
Step-by-step explanation:
x(x-4) = 192
the Equation:
x²-4x -192 =0
=> (x-16) (x+12) =0
x= 16 or x= -12
since the x should be a possitive, so x = 16
the dimension :
the length = 16 m
the width = 12 m
What is the greatest common factor of 42, 30, and 45
Answer:
3
Step-by-step explanation:
Express the numbers as a product of their primes.
42 = 2 × 3 + 7
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Identify the prime factors common to all 3 numbers.
common prime factor = 3 , thus
GCF = 3
Answer: 3
Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 45 are 1, 3, 5, 9, 15, 45
As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.
solve the following the unknown -3(×+1)-2=4×-5(×-3)
Answer:
x = - 10
Step-by-step explanation:
Expand the equation first then simplify it
hey, this is the last thing I'm asking help with today.thank you
Answer:
A
Step-by-step explanation:
the middle angle has to be equal to make the entire angle equal
What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?
Answer:
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
Step-by-step explanation:
[tex]2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\[/tex]
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
A sign has 3 identical parallelogram-shaped stripes as shown. Charles must
outline each stripe with reflective tape. Is one roll of 86 inches of tape enough to
finish the job? Explain.
Answer:
it looks like the length of one of the parts is
Step-by-step explanation:
sqrt(125) from 10^2 +5^2 = sqrt(125) using the pathogen Therom since the 3 lines are identical since they are parallel you multiply sqrt(125) by 3
so 3×sqrt(125)=33.54 inches of tape which is way less then than 86
A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If
the diver rises toward the surface too fast, he may suffer from a physical condition called “the bends.”
Suppose the diver started at 100 feet below the surface and rose in five steps of 15 feet each. Use an integer
to describe his new position in relation to the water surface.
Answer:
15x=100?
Step-by-step explanation:
this equation would show how many steps it takes to get to the surface sorry if this isnt the answer u wanted
Answer:
-25
Step-by-step explanation:
he rose 75 feet from being under 100 feet of water, making him 25 feet below the water's surface
find the area for this figure
Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
triangle
The answer is scalene