x = -1
Step-by-step explanation:
[tex] {4}^{5x} = {2}^{2(5x)} = {2}^{10x} [/tex]
[tex] {( \frac{1}{32}) }^{(1 - x)} = {2}^{ - 5(1 - x)} = {2}^{(5x - 5)} [/tex]
or
[tex] {2}^{10x} = {2}^{(5x - 5)} [/tex]
Since both sides have the same base, we can write
10x = 5x - 5
or
5x = -5
x = -1
Solve for f
-5f + 5 < 15
-------------------
A: f < 2
B: f < 8
C: f > -2
D: f = 3
Answer:
f>-2
Step-by-step explanation:
-5f+5<15
Isolate f
-5f<10
Isolate
-f<2
Because f is negative we have to flip the sign
f>-2
If this helps please mark as brainliest
find two numbers if their sum is 115 and their difference is 7
Answer:
54+61
Step-by-step explanation:
54 + 61 = 115
61 - 54 = 7
please help me!!! y’all, i’m dying
Answer:
The answer is A.
Step-by-step explanation:
yes
Answer:
total 10th grades who are 15 years old would be 7 in the empty box
Step-by-step explanation:
2 plus 7 plus 10 is 19, simple math
What is the radius and diameter of each circle ?
Please help
A sector with an area of \goldE{48\pi,\text{cm}^2}48πcm 2 start color #a75a05, 48, pi, start text, c, m, end text, squared, end color #a75a05 has a radius of \maroonD{16,\text{cm}}16cmstart color #ca337c, 16, start text, c, m, end text, end color #ca337c. What is the central angle measure of the sector in radians? Choose 1 answer: Choose 1 answer:
Answer:
3/8 π radians
Step-by-step explanation:
The Area of a sector when then central angle is in radians = 1/2r² θ
Where
θ = central angle = ?
r = 16 cm
Area of the sector = 48πcm²
Hence
Central angle = Area of a sector ÷ (1/2r²)
= 48πcm² ÷ (1/2 × 16²)
= 48πcm² ÷ 128
Central angle = 3/8π radians
Therefore, Central angle = 3/8π radians
PLEASE HELPPPPP
I WILL GIVE THE BRAINIEST THINGY
Answer:
The answer is the last one....
Step-by-step explanation:
Sorry for possible a vague answer, but you can divide out all the answers and you will see that only the last one proves the point...
if you do these problems in a class you are taught for sum/diff of cubes
the pattern ( a b) (a^ ab b^2) ...notice that there are no signs between the variables... the next teaching point is that the signs use this pattern...
"SAME" , "OPPOSIT", "ALWAYS A PLUS"... that is not me look that up in an algebra book.. same opposite, always a plus... I think some people call is "SOAP" same, opposite Always plus (that works) ....
bottom line here is that you answer needs cubes under the division, and the
end part has to have a "+" , given that after multiplying by "-b" you have to end up with a "-B^3" only a "+b^2" will do , that is consistent with the fourth answer
A garden table and a bench cost 816 combined. The garden table costs 84 less than the bench. What is the cost of the bench?
Answer:
366
Step-by-step explanation:
A garden table and bench cost 816 when combined together
The garden table cost 84 less than the bench
Therefore the price of the bench can be calculated as follows
x + (x+84)= 816
2x+84= 816
2x= 816-84
2x= 732
Divide both sides by 2
x= 732/2
= 366
Hence the price of the bench is 366
Given m || n, find the value of x and y
Answer:
x = 15, y = 50
Step-by-step explanation:
8x + 12 and 2x + 18 are same- side interior angles and sum to 180° , then
2x + 18 + 8x + 12 = 180
10x + 30 = 180 ( subtract 30 from both sides )
10x = 150 ( divide both sides by 10 )
x = 15
Then
8x + 12 = 8(15) + 12 = 120 + 12 = 132
3y - 18 and 8x + 12 are vertical angles and are congruent, so
3y - 18 = 132 ( add 18 to both sides )
3y = 150 ( divide both sides by 3 )
y = 50
X = 15
Y = 50
(8x+12) + (2x+18) = 180 -- combine like terms
10x + 30 = 180 -- subtract 30 from both sides
-30 -30
10x = 150 -- divide by 10 on both sides
x = 15
and for y:
plug x into (8x+12)
8(15) + 12 = 3y - 18
120 + 12 = 3y - 18
132 = 3y - 18 -- add 18 to both sides
150 = 3y -- divide both sides by 3
y = 50
probability, please help i will give brainliest
What is the conjugate? x - square root 2
Answer:
conjugate of (x-[tex]\sqrt{2}[/tex]) is (x+[tex]\sqrt{2}[/tex])
Step-by-step explanation:
The following Circle Graph and table show the result of the survey conducted by Twin Groves Ice Cream parlor to find out the most popular ice cream flavor.
How does the Circle Graph misrepresent the data in the table?
A. Raspberry is the least popular flavor.
B. The two larger sections of the graph are not labeled correctly.
C. One of the flavors from the table is missing in the Circle Chart.
D. Peach is the next popular flavor after strawberry.
Answer:
The answer is most likely B..
Step-by-step explanation:
I do not know BUT I WANT TO KNOW
Answer:
B
Step-by-step explanation:
Just did the test
Hope I could help :)
5,126 divided by 12 with remainder
[tex]\left[\begin{array}{ccc}3&4\\8&-5\end{array}\right] \left[\begin{array}{ccc}4&6\\3&0\end{array}\right][/tex] evaluate
Answer:
Step-by-step explanation:
Hope this helps u!!!
14cm and 31cm and 34cm equal
Answer:
if its addition then it will be 79cm
Averigua el número que cumple la siguiente condición: si se multiplica su sucesor por el número disminuido en 3 unidades se obtiene 77
Answer:
X=10
X=-8
Step-by-step explanation:
(x+1)*(x-3)=77
x²-3x+x-3=77
x²-2x-3=77
x²-2x-3-77=0
x²-2x-80=0
(x-10)*(x+8)=0
x-10 = 0
x=10
x+8=0
X=-8
The two possible numbers that satisfy the given equation model are -8 and 10.
What is a expression? What is a mathematical equation? What is Equation modelling ?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the successor of a number, when multiplied by the number decreased by 3 units, 77 is obtained.
Assume the number to be [x]. Its successor would be [x + 1]. Then, we can write -
(x + 1)(x - 3) = 77
Refer to the graph attached. The [x] - intercepts the solution. We get -
x = - 8
x = 10
Therefore, the two possible numbers that satisfy the given equation model are -8 and 10.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
[Refer to question in english -
Find the number that meets the following condition: if its successor is multiplied by the number decreased by 3 units, 77 is obtained.]
the total of a number m and a number n
Answer:
m+n
Step-by-step explanation:
HELP!! <3 Right now, the gym covers an area of x square feet. Ms.Lauren wants to increase the size of the gym by 20%. Which expression below could not be used to find the new size of the gym?
a) 1.20x c) .20x
b) x + .20x. d) x(1 + .20
Answer:
C
Step-by-step explanation:
0.20x only tells you 20% of the original gym size, not the increased size of the gym.
Answer:
Answer C can not be used to find the new size of the gym.
Step-by-step explanation:
Let's use process of elimination!
A is stating 1.20x, or 120% of x. This is correct, because we have x and then were increasing by 20%, which is just 120%. A is however not the answer because we are asking which expression below could not be used, and A could be used. B is also incorrect because of what I just stated, x + 0.20x is the same thing as 1.20x. C is 20% of x, but that won't get us the answer. C is the correct answer since it cannot be used to find the new size of the gym, but if you really want to you can check answer D as well. In answer D you can distribute the x to the 1 and the 0.20, and you get x + 0.20x, which is the same as answer B. Therefore C is the correct answer.
For a summer job, Lucy is in charge of chickens and sheep. There are 16 animals total. The number of chickens, y, is 4 less than the number of sheep, x. Which ordered pair (x, y) represents the number of chickens and sheep?
Answer:
(10,6)
There are 10 sheep and 6 chickens.
Step-by-step explanation:
Let y represent the number of chickens.
Let x represent the number of sheep.
1) Form a system of equations
"There are 16 animals in total"
⇒ [tex]x+y=16[/tex]
"The number of chickens is 4 less than the number of sheep"
⇒ [tex]y=x-4[/tex]
2) Substitute equation 2 into equation 1
[tex]x+(x-4)=16[/tex]
Solve for x
[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]
Therefore, there are 10 sheep.
3) Solve for y
[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]
Therefore, there are 6 chickens.
The ordered pair (10,6) represents the number of chickens and sheep.
I hope this helps!
How many times larger than
(15 + 10) is 8 x (15 + 10)?
Answer:
8 times larger
Step-by-step explanation:
(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.
Ravi is 8 years older than nastasha the sum of their ages is 42 find their ages
Answer: Natasha is 17 and Ravi is 25
Step-by-step explanation:
Let n = Natasha’s age and r = Ravi’s age
We can write an equation then substitute: 42=n+r
We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)
Simplify:
42=n+(n+8)
42= 2n+8
42-8=2n+8-8 (subtract 8 from both sides to isolate n)
34=2n
34/2=2n/2 (divide both sides by two)
17=n
Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]
Solve for X
Solve for X
Solve for X
Answer:
we know that 8+6x=30+4x+2
2x=24
x=12
pls mark as brainliest
Answer:
[tex]\bf x=12[/tex]Step-by-step explanation:
By applying the Exterior angle theorem.
[tex]\bf 30+4x+2+8+6x[/tex]
[tex]\bf 4x+30+2=8+6x[/tex]
[tex]\bf 4x+32=8+6x[/tex]
[tex]\bf 4x+32-32=8+6x-32[/tex]
[tex]\bf 4x=6x-24[/tex]
[tex]\bf 4x-6x=6x-24-6x[/tex]
[tex]\bf -2x=-24[/tex]
[tex]\bf \cfrac{-2x}{-2}=\cfrac{-24}{-2}[/tex]
[tex]\bf x=12[/tex]
___________________Given the numbers 24 and 18 as legs of a right triangle, what is the length of the hypotenuse? Round your answer to the nearest tenth (1 decimal place)
Help plz..And No links!! I repeat No links!!
math pls pls help help no trolls i really need this grade
Answer:
The second one is 3 and the third one is 8
Step-by-step explanation:
Just trust me
Can someone help me find the values of x and y for this quadrilateral?
Answer:
x = 98; y = 112
Step-by-step explanation:
Opposite angles of an quadrilateral inscribed in a circle are supplementary. That means that the sum of their measures is 180 deg.
x + 82 = 180
x = 98
y + 68 = 180
y = 112
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
Answer:
Step-by-step explanation:
radius =diameter/2
=15/2
=7.5 mm
circumference=2πr
=2*3.14*7.5
=47.1 mm
The equation that can be used to determine the circumference of the DVD is π15.
What is the circumference of a circle?
The DVD has the shape of a circle. The circumference of a circle is the distance round the circle. The diameter of a circle is a straight line that touches two points on the circumference of a circle and also passes through the center.
The circumference of a circle = πD
Where:
d is the diameter
To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152
A. X=3 m
B. X=5 m
C. X=6 m
D. X=9 m
Answer:
ok so we can divide 15 by 5 to get 3
so we know the building is 3 times bigger
so we multiply 3 by 3 to get 9
so the answer is D
Answer:
9
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
Letting h be the height of the tower
15 h
----- = ------
5 3
Using cross products
15*3 = 5h
Divide each side by 5
45/5 = 5h/5
9 = h
The CUBE ROOT of a number is -1. What is the number? *
Answer:
The number is -1
Answer:
i
Step-by-step explanation:
If equation is x + y = 3 and x - y = 7 then the value of x will be?
A) 0
B) -3
C)-2
D)2
Its on the topic Simultaneous equations
Answer:
x = 5
Step-by-step explanation:
Add the equations
x + y = 3
x - y = 7
––––––––
2x = 10
Divide both sides by2
x = 5
Note: for the equations in the question,
none of the given answers are correct.
What is the sum of – 2x2 – 5x + 3 and
- 4x2 + 4x – 6?
[tex] - 6 {x}^{2} - x - 3[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( - 2 {x}^{2} - 5x + 3) + ( - 4 {x}^{2} + 4x - 6) \\ \\ = - 2 {x}^{2} - 5x + 3 - 4 {x}^{2} + 4x - 6 \\ \\Combining \: the \: like \: terms, \: we \: have \: \\ \\ = - 2 {x}^{2} - 4 {x}^{2} - 5x + 4x + 3 - 6 \\ \\ = - 6 {x}^{2} - x - 3[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Answer:
-6x^2 - x - 3
Step-by-step explanation:
(-2x^2 -5x +3) + (-4x^2 + 4x -6)
open the brackets .Remember while opening the brackets signs also get multiplied .
=-2x^2 -5x +3 - 4x^2 + 4x -6
=-6x^2 -x -3
(minus * minus) sign=plus sign
(minus * plus) sign=minus sign
(plus * plus) sign=plus sign
(minus + minus) sign=plus
(plus + plus) sign=plus sign