Answer:
Step-by-step explanation:
It's given in the question,
[tex]2^x=3^y=12^z[/tex]
[tex]2^x=12^z[/tex]
[tex]\text{log}2^x}=\text{log}12^z}[/tex]
[tex]x\text{log2}=z\text{log12}[/tex]
[tex]x=\frac{z\text{log}12}{\text{log2}}[/tex]
[tex]3^y=12^z[/tex]
[tex]\text{log}3^y}=\text{log}12^z}[/tex]
[tex]y\text{log}3}=z\text{log}12}[/tex]
[tex]y=\frac{z\text{log12}}{\text{log}3}[/tex]
Now substitute the values in the equation,
[tex]\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}[/tex]
[tex]=\frac{\text{log}3}{z\text{log}12}+\frac{2\text{log}2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(3\times 2^2)}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(12)}{z\text{log}12}[/tex]
[tex]=\frac{1}{z}[/tex]
Hence proved.
Please help explanation if possible
Answer:
160= 2W + 2L ; W = L –16
2W+2L=160 ] ÷2
W+L= 80
W=L–16
____o____o___
L-60+L= 80 —> 2L= 96
L=48
W=L–16 —> w= 48-16 =32
W=32 ; L=48
I hope I helped you^_^
Please help me with this
Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles,
AC = 4x miles, and CB = 12 + x miles, explain three different ways
that
you
could
solve for x.
To solve this question, we need to understand the concept of midpoint.
Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:
[tex]AC = CB[/tex][tex]AC = \frac{AB}{2}[/tex][tex]CB = \frac{AB}{2}[/tex]Segment:
C is the midpoint of the segment AB, which means that:
The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.
[tex]AC = CB[/tex]
The distance of the midpoint to one of the endpoints is half the total distance, that is:
[tex]AC = \frac{AB}{2}[/tex]
[tex]CB = \frac{AB}{2}[/tex]
Solution:
We have to solve for x, considering one of the three relations.
Considering:
[tex]AC = 4x, CB = 12 + x[/tex]
[tex]AC = CB[/tex]
[tex]4x = 12 + x[/tex]
[tex]4x - x = 12[/tex]
[tex]3x = 12[/tex]
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
The solution for x is x = 4 miles.
A similar question is found at https://brainly.com/question/24114584
look at the image below
Answer:
282.7 mi^2
Step-by-step explanation:
Surface area of cone=pi*r*(r+l)=pi*5*18=282.7
According to the graph, is f even, odd, or neither?
Choose 1 answer:
a. Even
b. Odd
c. Neither
Answer:
a
Step-by-step explanation:
an even function is symmetrical about the y- axis
This graph has symmetry about the y- axis and so is Even
Anup bought 50 glasses for Rs 1500 out of which 4 were broken. If he sold the rest of the glasses for Rs 35 each, how much profit or loss percentage did he bear?plz help me
Step-by-step explanation:
CP of 50 glasses is given 1500 so,
CP of one glass is 1550÷50 it mean the cost price of one glass is 30
now it have your question has said 4 glasses with broken so ,
1500-120
1380
he sold each glasses at the cp of 35 so,
46×35
1610
now,
profit =SP-CP
1610-1500
=110
Actual profit is 110 and profit percent =actual profit/CP ×100
110/1500×100
=7.3333%
If you help me, you will get this cookie
Answer:
B. 7y - 15
Step-by-step explanation:
Simplifying
10y + -3(y + 5) = 0
Reorder the terms:
10y + -3(5 + y) = 0
10y + (5 * -3 + y * -3) = 0
10y + (-15 + -3y) = 0
Reorder the terms:
-15 + 10y + -3y = 0
Combine like terms: 10y + -3y = 7y
-15 + 7y = 0
Solving
-15 + 7y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 7y = 0 + 15
Combine like terms: -15 + 15 = 0
0 + 7y = 0 + 15
7y = 0 + 15
Combine like terms: 0 + 15 = 15
7y = 15
Divide each side by '7'.
y = 2.142857143
Simplifying
y = 2.142857143
Answer:
b. 7y-15
Step-by-step explanation:
First, write out the expression
1. [tex]10y-3(y+5)[/tex]
To simplify the expression distribute the -3 to the terms within the paratheses.
2. [tex]10y-3y-15[/tex]
Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted
3. [tex]7y-15[/tex]
This means that B is the correct answer.
Which expressions
are
equivalent to -6+4q+(-6q)?
Choose all answers that apply:
–6(q + 1) — 42
2(q -3)
None of the above
Answer:
None of the Above are correct
Which function has the greater maximum value: f(x) = -2x2 + 4x+3, or g(x),
the function in the graph?
ту
g(x)
A. f(x)
B. g(x)
C. The functions have the same maximum value.
Answer:
B
Step-by-step explanation:
f(x) maxmum value is
[tex] \frac{ - 4}{ - 4} = 1[/tex]
[tex] - 2( {1}^{2} ) + 4(1) + 3 =
5[/tex]
G(x) minimum value is 6.
B is the answer.
Let f(x)=r2+2 and g(x)=1–3x. Find each function value:
f(g(-1))
Answer:
18
Step-by-step explanation:
f(x)=x^2+2
g(x)=1–3x
f(g(-1))
First find g(-1) = 1-3(-1) = 1 +3 = 4
Then find f(4) = 4^2 +2 = 16+2 = 18
f(g(-1)) = 18
GIVING BRAINLY JUST ANSWER CORRECTLY !!
Answer:
b. never
Explanation:
A fraction is always in the form p/q, where q is not 0; or can be converted in that form (in case of mixed fraction).
A number is said to be irrational, if it cannot be expressed in the form p/q, where q is not 0.
For the points shown:
The x-coordinate is ____
The y-coordinate is____
The point is in the coordinate___
Answer:
The x-coordinate is –4
The y-coordinate is –1
The point is in the quadrant Third quarter ( 3 )
I hope I helped you^_^
I need help ASAP!!Please explain your answer
Answer:
240 ft^2
Step-by-step explanation:
The rectangular prism has 6 faces. Each two opposite faces have the same area. We need to find the areas of 3 faces that are not opposite faces, add them, and then multiply by two.
Top face:
7 ft by 6 ft
area = LW = 7 ft * 6 ft = 42 ft^2
Right face:
7 ft by 6 ft
area = LW = 7 ft * 6 ft = 42 ft^2
Front face:
6 ft by 6 ft
area = LW = 6 ft * 6 ft = 36 ft^2
Sum of areas of 3 faces:
42 ft^2 + 42 ft^2 + 36 ft^2 = 120 ft^2
Now we double the area to account for the 3 faces that are opposite each one of the three faces whose areas we calculated.
2 * 120 ft^2 = 240 ft^2
Answer: 240 ft^2
A certain city garden has 64 flowers and 24 decora-
tive shrubs planted. The garden planner wants to
plant more flowers until the ratio of flowers to
shrubs is 12:1. How many more flowers will the
garden planner need?
Answer:
224 more flowers
Step-by-step explanation:
If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.
Find what 12 times the number of shrubs is:
24(12)
= 288
So, the planner will need 288 flowers in total.
Find how many more he needs to plant by subtracting the current amount of flowers from 288:
288 - 64
= 224
So, the garden planner will need 224 more flowers.
HELP ASAP
THANK YOU!!!
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
Cual es la raiz cudrada de 2
Answer:
1.4142135
Step-by-step explanation:
Find the value of x.
A. 75
B. 80
C. 57
D. 40
Answer:
80
Step-by-step explanation:
since a=40
40x2 is 80
The value of x is 80 which is the correct answer would be an option (B)
What are the Angles of Intersecting Secants Theorem?Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.
Given that angle ∠a = 40°
∠x = 2∠a
Substitute the value of ∠a = 40°
∠x = 40×2
∠x = 80°
Hence, the value of x is 80 degree
Learn more about the Angles of intersecting secants here:
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#SPJ2
can someone pls help me
On the last option, since you can substitute y=3x+1 into the other equations to solve for x.
need help pleaseee!!!
Answer:
it should be the third option
Step-by-step explanation:
I hope this help
What is the area of the obtuse triangle below?
9
다.
11
O A. 49.5 sq. units
OB. 99 sq. units
C. 10 sq. units
D. 20.5 sq. units
Answer:
49•5
Step-by-step explanation:
A= hb×b÷2
given
hb=height=9
b=base=11
The area of the triangle will be 49.5 square units. Then the correct option is A.
What is the area of the triangle?Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,
A = 1/2 x 11 x 9
A = 11 x 4.5
A = 49.5 square units
The area of the triangle will be 49.5 square units. Then the correct option is A.
More about the area of the triangle link is given below.
https://brainly.com/question/19305981
#SPJ7
For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI
the height of the glass is 7cm and
the radius is 3cm If the glass is
half fill with water what will be
the answer
757divide 100=to in hours and minutes
Answer:
Step-by-step explanation:
757 minutes = 12 hours 37 minutes
What is the 6th term in the geometric sequence described by this explicit
formula?
an= 3.4(n-1)
Answer:
The 6th term is 3072.
Step-by-step explanation:
what is the mass of raisins in a package
Answer:
Step-by-step explanation:
12
whats the gcf of 50,40
whats the gcf of 14,56,63
9514 1404 393
Answer:
107Step-by-step explanation:
The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.
GCF(40, 50)The difference is 10, which is a factor of both 40 and 50.
GCF(40, 50) = 10
__
GCF(14, 56, 63)You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.
GCF(14, 56, 63) = 7
_____
Additional comment
Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.
For example, let's look at the GCF of 14 and 63.
63/14 = 4 r 7
14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor
x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
I need help i tried to do this but can't get it.
Answer: x=5, y=-1
Hope this helps
convierte los decimales a fracción:
a) 3, 1233333 =
b) 4, 3855555 =
c) 37, 22222 =
d) 16, 2929292929 =
e) 2, 33333333 =
(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that
1000x - 100x = 3123.333… - 312.333…
==> 900x = 2811
==> x = 2811/900 = 937/300
(b) x = 4.38555… ==> 100x = 438.555… and 1000x = 4385.555…
==> 900x = 3947
==> x = 3947/900
(c) x = 37.222… ==> 10x = 372.222…
==> 9x = 335
==> x = 335/9
(d) x = 16.292929… ==> 100x = 1629.292929…
==> 99x = 1613
==> x = 1613/99
(e) x = 2.333… ==> 10x = 23.333…
==> 9x = 21
==> x = 21/9 = 7/3
The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.
[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]
heaviest[tex]\bold{=5.69\ g\\\\}[/tex]
lightest[tex]\bold{=5.65\ g\\\\}[/tex]
Evaluating each expression:
[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]
Learn more:
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