Answer: a constant is a fixed number in an expression. For example x+5=9. The constants are 5 and 9 since it’s a fixed number. Since it says x is a constant it means it can only be one answer.
5/√2+9/√8-2√50+√32 rationalise the denominator and simplify
The simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
How to rationalize the denominatorFirst, find the factors of the number that ahs square root
Given,
= [tex]\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}[/tex]
Multiply the numerators by the surd of the denominators
= [tex]\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}[/tex]
Multiply through and find their square root
= [tex]\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}[/tex]
To simply, we have
= [tex]\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}[/tex]
Find the LCM
= [tex]\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}[/tex]
Add through
= [tex]\frac{75\sqrt{2} }{20}[/tex]
= [tex]\frac{15\sqrt{2} }{4}[/tex]
Thus, the simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
Learn more about surds here:
https://brainly.in/question/4594146
#SPJ1
G is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f?
Answer: f(x-2) which is choice A.
The blue f(x) curve is shifted 2 units to the right to get the red g(x) dashed curve.
============================================================
Explanation:
For now, ignore the red dashed curve g(x). Imagine that the blue curve f(x) is fixed in place. If we shifted the xy axis to the left 2 units, then this gives the illusion the blue curve is moving even though the curve is fixed in place.
The operation "shift xy axis 2 units to the left" means each x input is 2 units smaller. So each x input is now x-2.
Therefore, going from f(x) to f(x-2) will shift the blue curve 2 units to the right to land perfectly on the red dashed g(x) curve.
A graph is shown.
How do you determine if this is a function or not? Is this a function. Help please
Answer:
Not a function
Step-by-step explanation:
we see on this graph,
(1,2) and (1,7)
we have two of the same x points, when put on a graph, that would be having 2 of the same inputs.
which always means it's not a function.
can someone plz make a histogram for the numbers 60,60,65,71,72,75,80,88,92,95,100,152
Answer:
lol sorry i don't know. but i would try my best to find your answer
lowkey need help with this.
9514 1404 393
Answer:
c = 14
no extraneous solutions
Step-by-step explanation:
You can subtract the right-side expression, combine fractions, and set the numerator to zero.
[tex]\dfrac{c-4}{c-2}-\left(\dfrac{c-2}{c+2}-\dfrac{1}{2-c}\right)=0\\\\\dfrac{c-4}{c-2}-\dfrac{1}{c-2}-\dfrac{c-2}{c+2}=0\\\\\dfrac{(c-5)(c+2)-(c-2)^2}{(c-2)(c+2)}=0\\\\\dfrac{(c^2-3c-10)-(c^2-4c +4)}{(c-2)(c+2)}=0\\\\\dfrac{c-14}{(c-2)(c+2)}=0\\\\\boxed{c=14}[/tex]
__
Check
(14 -4)/(14 -2) = (14 -2)/(14 +2) -1/(2 -14) . . . . substitute for c
10/12 = 12/16 -1/-12
5/6 = 3/4 +1/12 . . . . true
There is one solution (c=14) and it is a solution to the original equation. There are no extraneous solutions.
the expression 3xy+12y-5x+7w has how many terms in polynomial ??
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
There are 4 individual terms in the polynomial:
3xy
12y
-5x
7w
Given: x-5> -10.
I clicked it on accident so ignore the blue thing ! Help needed
Answer:
the first one
Step-by-step explanation:
[tex]x - 5 > - 10 \\ x > - 10 + 5 \\ x > - 5[/tex]
What does media literacy mean?
A. The practice of reading things that are on a screen
B. The practice of being able to identify the different types of media
C. The practice of being able to access, analyze, and evaluate media
D. The practice of using multiple media at one time
Answer:
C.
Step-by-step explanation:
Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.
NOW ASAP PLEASE NEED FAST ANSWERRRRRRRR
Let's take any 2 points from the line.
1. (-4,-2)
2. (-2,-7)
[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5[/tex]
Simplify the following expression:
-3(x+6)+8x
3x-25
5x-22
-11+3x
5x-18
Answer:
5x -18
I hope this helped! have a nice day! :)Answer:
5x+18
Step-by-step explanation:
Question 9 (5 points)
3
6
9
--
What's the approximate measure of one interior angle of the regular polygon shown?
12
A) 1,620°
>
15
B) 220°
C) 2.7°
18
D) 147.3°
Answer:
147.3
Step-by-step explanation:
this is an hendecagon there is 11 sides the total interior measure is 1,620 if you divide that by each side which would be 11 you get 147.272727 which would ultimately round up to be 147.3
A school bus has seating for 75 students. There are 13 buses at a school. What is the maximum number of students
the buses can seat
225 students
750 students
975 students
985 students
Help
Answer:
75 students and 13 buses are just 75 x 13
975 students
Step-by-step explanation:
75 x 13 = 975
Which points are possible approximations for this system? Select two options.
Step-by-step explanation:
second: (2.2,-1.4)
third: (2.2,-1.35)
Step-by-step explanation:
hope it helps✨
Help anyone can help me do this question,I will mark brainlest. The question is find the area of the shaded region.
Answer:
13. 10
14. 51
Step-by-step explanation:
Answer:
13. 10
14. 51
Step-by-step explanation:
One angle on the base of an isosceles triangle is 30°. What is the measure of its vertical angle?
Answer:
120 degrees
Step-by-step explanation:
vertical angle of isoceles = 180 - 2(base angles) = 180 - 2(30) = 120
Answer:
isosceles triangle means both angle or sides equal so in this way
unknown angle + 30 + 30 = 180°
unknown angle+60=180
so unknown angle=120°
which is vertical angle
M angle a=40° then m angle b=?
Answer:
not enough info
Step-by-step explanation:
what is -3/5 as a decimal
Answer:
-0.6
Step-by-step explanation:
Answer:
⅗ as a decimal is -0.6
Hope it's right if not then sorry, have a great day:)The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t
(iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t
(v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript t
Which town decreasing the fastest?
a.
ii
c.
iii
b.
v
d.
vi
Please select the best answer from the choices provided
A
B
C
D
Given:
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) [tex]P=1000(1.08)^t[/tex]
(ii) [tex]P = 600 (1.12)^2[/tex]
(iii) [tex]P =2500 (0.9)^t[/tex]
(iv) [tex]P=1200 (1.185)^t[/tex]
(v) [tex]P=800 (0.78)^t[/tex]
(vi) [tex]P=2000 (0.99)^t[/tex]
To find:
The town whose population is decreasing the fastest.
Solution:
The general form of an exponential function is:
[tex]P(t)=ab^t[/tex]
Where, a is the initial value, b is the growth or decay factor.
If b>1, then the function is increasing and if 0<b<1, then the function is decreasing.
The values of b for six towns are 1.08, 1.12, 0.9, 1.185, 0.78, 0.99 respectively. The minimum value of b is 0.78, so the population of (v) town [tex]P=800 (0.78)^t[/tex] is decreasing the fastest.
Therefore, the correct option is b.
A picture is 46 cm by 32 cm. A scale diagram of the picture must fit in a space that is 3 m by 2 m. Which scale would be the most reasonable one to use for the scale diagram?
Answer:
A picture that is 46cm by 32 cm must fit in a space that is 3m by 2m
First, let's rewrite both of these dimensions in the same units.
Knowing that:
1m = 100cm
Then the dimensions of the space can be rewritten from:
3m by 2m
to:
300cm by 200cm
So, if we enlarge our original picture by a scale factor K, the new dimensions of the picture will be:
K*46cm by K*32cm
Now we just need to find a value of K such that:
K*46cm is something near to 300cm
K*32cm is something near to 200cm
First, we can solve the equation:
K*46cm = 300cm
solving this for K we get:
K = 300cm/46cm = 6.5
While if we solve the equation:
K*32cm = 200cm
we get:
K = 200cm/32cm = 6.25
So we got two possible scale factors.
Which one we should take?
Notice that if we wanted to use the larger one (K = 6.5) for the 32cm side. the new length would be:
32cm*6.5 = 208cm
This is larger than the 200cm of space that we have
Then we can not select the larger option, we can only take the other value:
K = 6.25
Then we can conclude that a reasonable scale factor to use is K = 6.25
A sociologist polled a random collection of people and asked them their
age and annual income. The two-way frequency table below shows the
results. Which of the following is true about the people polled?
A
People age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.
B
People age 44 and under were less likely to earn at
least $50,000 than people age 45 and up.
C
People age 44 and under were equally likely to earn
at least $50,000 as people age 45 and up.
D
There is not enough information to determine if
people age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.
Answer:
B
Step-by-step explanation:
In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°
Answer:
9.013 square units
Step-by-step explanation:
If 12(x - a)(x - b) = 12x² - 7x - 12 , then ab =
Answer choices :
1
-1
7
12
-12
Answer: -1
Step-by-step explanation:
12x^2-7x-12 = (4x+3)(3x-4)
4x+3=0. X = -3/4
3x-4=0. X = 4/3
(-3/4) (4/3) = -1
Factorize this 5y2 + 2y – 3a2?
Answer:
y(5y +2) -3a²
Step-by-step explanation:
that is the solution above
can you please help me with this.
Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
[tex]a_n=a_1+d(n-1)[/tex] where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
[tex]a_n=2+3(n-1)[/tex] which simplifies to
[tex]a_n=2+3n-3[/tex] and a bit more to
[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
[tex]a_{13}=3(13)-1[/tex] so
[tex]a_{13}=38[/tex]
Answer:
38
Step-by-step explanation:
This isn't the most efficient way but it's the best I can do.
2, 5, 8, 11....
The pattern is that we add 3 every time.
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,
1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
We can see that 38 is the 13th term of the sequence.
I'm Timed
Which situation could this expression represent?
6 + 15 ÷ 3
Michael has 6 stamps in his collection. He adds 15 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?
Walter has 6 stamps in his collection. He divides the stamps evenly into 3 piles and adds 15 new stamps to one of the piles. How many stamps are in this pile?
Andy has 15 stamps in his collection. He divides the stamps evenly into 3 piles and adds 6 stamps to one of the piles. How many stamps are in this pile?
Brycen has 15 stamps in his collection. He adds 6 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?
Answer:
It's Micheal because he started with 6 and added 15 and he divided them into 3 piles
solve for θ:
sin(θ-70)=cos(θ)
pls help and explain step by step
thank you
Answer:
Use this rule : cosx = sin (90 - x)
sin( x -70) = sin (90 - x)
x-70 = 90 - x
2x = 160
x = 80
GIVING BRAINLIEST TO CORRECT ANSWERS
Answer:
b is the correct answer
Step-by-step explanation:
how can i learn math well?
Answer:
you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh
Please someone explain
Triangles and angles
X=______ degrees
X 48
96
Exterior Angle property = sum of interior opposite angle is equal to the exterior Angle
x= 48+96
x= 144°
Answer:
144°
Step-by-step explanation:
x is an exterior angle of the triangle.
Angles 96° and 48° are interior angles of the triangle that are not adjacent to angle x. Angles 96° and 48° are called the "remote interior angles" of exterior angle x.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
x = 48 + 96
x = 144
Answer: 144°
Correct answer gets 5 star
Answer:
Step-by-step explanation:
A
