Answer:
8
Step-by-step explanation:
3/5=0.6
32^0.6=8
Ans.8
What is the value of x in the equation 4x - 2(x+3) = 8
Answer:
x=7
Step-by-step explanation:
4x-2(x+3)=8
4x-2x-6=8
2x-6+6=8+6
2x=14
x=7
Proof:
4x-2(x+3)=8
4(7)-2(7+3)=8
28-14-6=8
14-6=8
8=8
Hope this helps ;) ❤❤❤
The value of x in the equation 4x - 2(x+3) = 8 is 7.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We need to find the value of x in the equation 4x - 2(x+3) = 8
4x-2(x+3)=8
4x-2x-6=8
2x-6+6=8+6
2x=14
x=7
Proof: 4x-2(x+3)=8
4(7)-2(7+3)=8
28-14-6=8
14-6=8
8=8
Hence, the value of x in the equation 4x - 2(x+3) = 8 is 7.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
prove that sin 60° = 2 tan 30°/1+ tan² 30°
◈ LHS :
[tex]:\implies\tt\:sin60\degree[/tex]
[tex]:\implies\bf\:\dfrac{\sqrt{3}}{2}[/tex]
◈ RHS :
[tex]:\implies\tt\:\dfrac{2tan30\degree}{1+tan^230\degree}[/tex]
[tex]:\implies\tt\:\dfrac{2\times \dfrac{1}{\sqrt{3}}}{1+{\large(}\dfrac{1}{{\sqrt{3}}}{\large)}^2}[/tex]
[tex]:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{3+1}[/tex]
[tex]:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{4}[/tex]
[tex]:\implies\bf\:\dfrac{\sqrt{3}}{2}[/tex]
Hence Proved !!
Evaluate the following expression. 5^-1/5^0
Answer:
1/5
Step-by-step explanation:
5^-1/5^0
=5^-1/1
=1/5
Please help me with this math
f(x) = -3x2 – 20
Find f(-7)
Answer:
Step-by-step explanation:
f(-7)= -3(-7)^2 - 20
f(-7) = -3(49) - 20
= -147 - 20 = -167
What is the domain of the function y=x/x?
Answer:
-infinity < x < +infinity
Step-by-step explanation:
the domain of a cube root function is the set of all real numbers. unlike a square root function which is limited to non-negative numbers, a cube root can use all real numbers because it is possible for three negatives to equal a negative.
Answer:
A
Step-by-step explanation:
Edge 2021
y = -4x + 10 y = -6x + 16 Substitution
Answer:
The answer to this problem is x = 3 and y = -2.
Step-by-step explanation:
To solve this problem, we first have to remember how to solve problems using substitution. We first solve one equation completely in terms of another variable. In this case, this has already been done for us - the first equation is in the form y = f(x). Next, we should substitute this "value" or function for y into the other equation. This process is modeled below:
y = -4x + 10
y = -6x + 16
If we substitute, we get:
-4x + 10 = -6x + 16
Now this is a simple one variable equation that we can solve easily. First, we should add 6x to both sides, giving us:
2x + 10 = 16
Then, we should subtract 10 from both sides, yielding:
2x = 6
Finally, we can divide both sides by 2 to get:
x = 3
Now, we must plug in this value for x into one of our original equations (it doesn't matter which one we choose) to solve for the other variable, y.
y = -4x + 10
y = -4(3) + 10
y = -12 + 10
y = -2
Therefore, the answer to this problem is x = 3 and y = -2.
Hope this helps!
Answer:
x = 3
y = -2
Step-by-step explanation:
y = -4x + 10 first equation
y = -6x + 16 second equation
from the second equation:
6x = -y + 16
x = (-y + 16) / 6 third equation
substituying the value of the third equation into the first equation:
y = -4(-y+16)/6 + 10
y - 10 = -4(-y+16(/6
6(y-10) = -4(-y+16)
6*y + 6*-10 = -4*-y -4*16
6y - 60 = 4y - 64
6y - 4y = 60 - 64
2y = -4
y = -4/2
y = -2
from the third equation:
x = (-y + 16) / 6
x = (-(-2) + 16) / 6
x = (2+16)/6
x = 18/6
x = 3
Check:
from the first equation:
y = -4x + 10
-2 = -4*3 + 10
-2 = -12 + 10
(-7.4)+e=9.11 what is e
Greetings from Brasil...
Solving this equation
-7.4 + E = 9.11E = 16.5191.2727272727 simplify??
Answer:
91 +3409/12500
Step-by-step explanation:
Did you mean simplify as a fraction?
Need to find the angles of <1 and <2.
Answer:
1< and 2< are equal to 125
Step-by-step explanation:
The angle of a straight line is 180, so it would be 180° minus 55°, and that equals to 125°
hello, please help!! Thank you
I gave steps in the picture how to solve it was much easier to write it out then type it. hope this helps!
Find the common difference and the next three terms of the arithmetic sequence. 1/4,1/2,3/4,1,5/4
Hi there! :)
Answer:
[tex]\large\boxed {\frac{1}{4}}[/tex] Common difference
[tex]\large\boxed{\frac{3}{2}, \frac{7}{4}, 2}[/tex] Next three terms
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the common difference by subtracting the previous term from a term. We can use the terms 1/4 and 1/2:
Convert 1/2 into a fraction over 4:
1/2 · 2/2 = 2/4
Find the common difference by subtracting the fractions:
2/4 - 1/4 = 1/4. This is the common difference.
Find the next 3 terms by adding 1/4:
5/4 + 1/4 = 6/4 (Reduce fraction) = 3/2
6/4 + 1/4 = 7/4
7/4 + 1/4 = 8/4 (Reduce fraction)
Therefore, the next 3 terms are 3/2, 7/4 and 2.
Find the missing value.
Hint: Use the number line to find the missing value
-3 = -7
Answer:
is that all the context that is given?
HELPP!!! 20 POINTTS
Given the following Venn diagram, choose the correct set for the following:
Answer:
2,3,5,6,8,9 (i think)
Step-by-step explanation:
Answer:
2,3,5,6,8,9
Step-by-step explanation:
7. Ara and Vartan each have a pomegranate tree growing in their backyards. Ara’s tree is two times taller than Vartan’s. If the total height of the two trees is 25 feet, then how tall is each tree?
Answer:
The height of Ara's tree is 50/3 feet while Vartan's tree is 25/3 feet high
Step-by-step explanation:
Represent Ara's tree with A and Vartan's with V
Given
[tex]A = 2V[/tex]
[tex]A + V = 25[/tex]
Required
Determine A and V
[tex]A = 2V[/tex]
[tex]A + V = 25[/tex]
Substitute 2V for A in [tex]A + V = 25[/tex]
[tex]2V + V= 25[/tex]
[tex]3V = 25[/tex]
Divide both sides by 3
[tex]V =\frac{25}{3}\ feet[/tex]
Recall that [tex]A = 2V[/tex]
So:
[tex]A = 2 * \frac{25}{3}\ feet[/tex]
[tex]A = \frac{2 * 25}{3}\ feet[/tex]
[tex]A = \frac{50}{3}\ feet[/tex]
Hence, the height of Ara's tree is 50/3 feet while Vartan's tree is 25/3 feet high
Calculate the area of the shaded region. Use 3.14 for pi; round to the nearest tenth, if needed. HELP PLSSS I HAVE TO GET THIS DONE SOON!
Answer:
87.48
Step-by-step explanation:
First find the area of the square
12^2=144
find area of the 2 circles
9*3.14
but theres 2
18*3.14=56.52
144-56.52=87.48
awnser these questions
Answer:
Problem 2:
4x - 20 = 4
4x = 24
x = 6
Step-by-step explanation:
How many lines pass through two points ?
Answer:
one
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Postulate 3: Through any two points, there is exactly one line.
From a full 50-liter container of a 40% concentration of acid, x liters are removed and replaced with 100% acid. (A) Write the amount of acid in the final mixture as a function of x (B) Determine the domain and range of the function (C) Determine if the final mixture is 50% acid PLEASE EXPLAIN...I DON'T UNDERSTAND THIS AT ALL
Answer:
A) 20+0.6[tex]x[/tex]
B) range is [0, 50] (i.e. both inclusive)
C) 8.33 litres
Step-by-step explanation:
Given that concentration of acid in 50 litre container is 40%.
Amount of acid in the container = 40% of 50 litres
Amount of acid in the container = [tex]\frac{40}{100} \times 50 = 20\ litre[/tex]
[tex]x[/tex] litres are removed.
Amount of acid removed = 40% of [tex]x[/tex] litre.
Now, remaining acid in the container = (20 - 40% of [tex]x[/tex]) litre
Now, replaced with 100% acid.
So, final acid in the container = (20 - 40% of [tex]x[/tex] + 100% of [tex]x[/tex] ) litre
Amount of acid in the final mixture:
[tex]20 - \dfrac{40}{100} \times x + \dfrac{100}{100} \times x\\\Rightarrow 20 +\dfrac{100-40}{100}x\\\Rightarrow 20 +\dfrac{60}{100}x[/tex]
Answer A) Amount of acid in the final mixture = 20+0.6[tex]x[/tex]
Answer B) [tex]x[/tex] can not be greater than 50 litres (initial volume of container) and can not be lesser than 0 litres.
so, range is [0, 50] (i.e. both inclusive)
Answer C)
Given that final mixture is 50% acid.
amount of acid = 50% of 50 litres = 25 litres
Using the equation:
[tex]20+0.6x =25\\\Rightarrow 0.6x =5\\\Rightarrow \bold{x =8.33\ litres}[/tex]
what is the probability of choosing a card from a deck of cards that is a heart or a nine?
Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 EndFraction use an appropriate identity to find the value of cot(t).
Answer:
[tex]\bold{cot(t) =\dfrac{12}{5}}[/tex]
Step-by-step explanation:
Given that:
[tex]Cosec (t) = -\frac{13}5[/tex]
for [tex]\pi < t < \frac{3 \pi}2[/tex]
That means, angle [tex]t[/tex] is in the 3rd quadrant.
To find:
Value of cot(t)
Solution:
First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.
In 3rd quadrant, tangent and cotangent are positive.
All other trigonometric ratios are negative.
Let us have a look at the following identity:
[tex]cosec^2\theta -cot^2\theta =1[/tex]
here, [tex]\theta =t[/tex]
So, [tex]cosec^2t-cot^2t=1[/tex]
[tex]\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}[/tex]
But, angle [tex]t[/tex] is in 3rd quadrant, so value of
[tex]\bold{cot(t) =\dfrac{12}{5}}[/tex]
Answer:
12/5
Step-by-step explanation:
is 7.0001 a repeating decimal or a terminating decimal or a integer?
Answer:
7.000l is a terminatin decimal.
Step-by-step explanation:
It is an terminating decimal because it stops right at 1, and the one is not repating too. If it was repeating it would be a repating decimal. We know it's not also an integer because we dont see a ngegative sign next to the seven.
Therefore, 7.0001 is a terminating decimal.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
c.
Step-by-step explanation:
an archer shoots an arrow into the air. The equationfor the height of the arrow in metres is (h) over time (t) in secondsis given by the equation: h= -2t^2+6t + 1 find the maximum height of the arrow? find the time for the arrow to reach that height please answer properly and not randomly thankyou.
Answer:−2=x that’s the answer
Jayden walked a total of 12x+5r-8 miles on Monday and Tuesday. If he walked 7x-10r miles on Monday, how
many miles did he walk on Tuesday?
Answer: Jayden walked 8 miles on Tuesday
Step-by-step explanation:
The journey of a car travelling towards
Perth, Australia, can be expressed by the
relation d=-75t + 275, where d is the
distance from Perth in km and t is driving
time in hours.
a Is this relation a function? Justify your
answer.
b Rewrite the equation in functional
notation.
At the start of the journey, how far was
the car from Perth?
С
d What values of I do not make sense for
this situation?
Answer:
a. The given equation is d = -75·t + 275 is a function
b. f(t) = -75·t + 275
c. 275 km
d. The situation does not makes sense for t > 11/2 hours.
Step-by-step explanation:
a. Given that a relation is a functional relation if for each input of a member in the relation, there is only one output for the other member, therefore;
The given equation is d = -75·t + 275 is a function
As when t = 1, d = 200 km
b. The equation written in functional notation, f(t) is f(t) = -75·t + 275
c. At the start of the journey, t = 0
Therefore;
f(0) = -75×0 + 275 = 275 km
d. The values of t that do no make sense in the function are given as follows
0 = -75×t + 275
t = 275/75 = 11/3 = 3.67 hours
For times above 3.67, the distance becomes negative
Therefore, the situation does not makes sense for t > 11/2 hours.
Distributive Property Assignment
1/6(3/5x+18)=
Leave answer as a fraction.
Answer:
1/10x+3
Step-by-step explanation:
1/6(3/5x+18)
Multiply 3/5x and 18 by 1/6
1/10x+3
Please Help me With this 30 points and brainliest to first person
Answer:
(4 * (1 + 2 * 3))^5
Step-by-step explanation:
Try many possibilites and see which one is greater.
The '5' should be an exponent, as it will make the result very large.
Multiplication is usually an operation that makes numbers very big.
The New Horizons space probe passed the moon 8 hours and 35 minutes after launch. Write this number as a fraction and reduce. Choose the correct answer. Use 60 as your denominator, not 100, because there are 60 minutes in one hour. A. 9 3/7 hours B. 8 hours C. 8 1/2 hours D. 8 7/12 hours
Answer:
D
Step-by-step explanation:
8 hours and 35 minutes can be rewritten as the mixed fraction 8 35/60.
You can reduce this fraction by dividing the numerator and denominator by 5.
35/5 = 7
60/5 = 12
So, 35/60 = 7/12
Now add 8 to your reduced fraction.
8 + 7/12 = 8 7/12
Hope this helped!
ZWXY is a right angle. If Z
is in the interior of ZWXY,
mZWXZ = 7x+8, and
mZZXY = 5x – 2, find the
value of x.
Answer:
x = 7
Step-by-step explanation:
The sum of the interior angles is 90°, so you have ...
(7x +8) +(5x -2) = 90
12x = 84 . . . . subtract 6; next, divide by 12
x = 7