If 2^x=3 the answer is 9/4 equal.
Given, 2^x = 3
We need to find 4^(-x)
Let's first write 4 in terms of 2.4 = 2 × 2
Now, we can write 4^(-x) in terms of 2 as (2 × 2)^(-x) = 2^(-x) × 2^(-x) = (2^(-x))^2
We know that 2^x = 3
Now, let's find 2^(-x) using the above expression.
2^x = 32^(-x) × 2^x = 2^(-x) × 32^(-x) = 3/2
Now, 4^(-x) can be written as (2^(-x))^2
Substituting 2^(-x) = 3/2, we get4^(-x) = (2^(-x))^2= (3/2)^2= 9/4
Hence, the answer is 9/4.
4^(-x) = 9/4
Given, 2^x = 3
We need to find 4^(-x)
Let's first write 4 in terms of 2.4 = 2 × 2
Now, we can write 4^(-x) in terms of 2 as (2 × 2)^(-x) = 2^(-x) × 2^(-x) = (2^(-x))^2
We know that 2^x = 3
Now, let's find 2^(-x) using the above expression.
2^x = 32^(-x) × 2^x = 2^(-x) × 32^(-x) = 3/2
Now, 4^(-x) can be written as (2^(-x))^2
Substituting 2^(-x) = 3/2, we get4^(-x) = (2^(-x))^2= (3/2)^2= 9/4
Hence, the answer is 9/4.
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Natalie is a lab technician and earns $10.65 per hour. What are her wages for 40 hours?
pls help im in need
Find The Area of the parallelogram...Explain.
Answer:
70Step-by-step explanation:
Recall that, in order to find the area of a parallelogram is to multiply height by base, and the height is 14, and the base is 5, so 14 x 5 = 70.
50 POINTS!
In the diagram, d = 4. What is the value of x? Express your solution in simplest radical form, if necessary.
Answer:
146
Step-by-step explanation:
180=4+30+x
180=34+x
180-34=x
146=x
help meee plssssssss
Answer:
A) Triangle PQR
Step-by-step explanation:
This is the correct triangle because it has the exact same measurements as Triangle ABC. Angles A and P are the same angle on the triangles and they have the same measure (70). Angles C and R are the same angle on the triangles and they have the same measure (75). To solve for Angle C in Triangle ABC though, add angles 70 + 35 together to get 105. A triangle has a total measure of 180, so subtract 180 - 105 to get 75.
Hope it helps!
sasasaasasasasassasasasasasasasasasasasasasasa
Answer:
tatatatatatatatatatatatatata
Step-by-step explanation:
the duck is so cute
Answer:
DUCKYYY :DDD
Step-by-step explanation:
What is the slope and the y-intercept of a line whose equation is y=-4x-7
A. slope = -4; y-intercept = 7
B. slope = 4; y-intercept = -7
C. slope = -4; y-intercept = -7
D. slope = -7; y-intercept = -4
compare the equation with the formula y=mx+c and you will get the value of slope and the y intercept.
For example - y= 3x +4
On comparing y=mx+c
We will get m= 3 and
y intercept = 4
Please help due by tonight.
( . ) ( . )
\
\____/
Answer:
y = 1/2x^2 - 2x - 1
Step-by-step explanation:
Vertex(2, - 3)
Equation of Parabola (In vertex form): y = a(x - h)^2 + k,
y = a(x - 2)^2 - 3
Substitute given point (0, -1) and solve for a:
y = a(x - 2)^2 - 3,
-1 = a(0 - 2)^2 - 3,
a = 1/2
Equation: y = 1/2(x - 2)^2 - 3 = 1/2(x^2 - 4x + 4) - 3 = 1/2x^2 - 2x + 2 - 3 = 1/2x^2 - 2x - 1,
y = 1/2x^2 - 2x - 1: Option C
What is the solution to the systems of linear equations shown?
Answer:
C
Step-by-step explanation:
The solution to the systems of linear equations through graphing is simply the coordinates of the intersection point of the two lines.
The coordinates of the intersection line is written like this: (x, y)
Since the point is 0 on the x-axis and 3 on the y-axis, the Solution = (0, 3)
Please help me...???
Answer:
Step-by-step explanation:
77
Answer:
16.5 in³
Step-by-step explanation:
Length(L) = 2.2 in
breadth (b) = 1.5 in
height (h) = 5 in
Volume of the cuboid
= L * b * h
= 2.2 * 1.5 * 5
= 16.5 in³
I need help please!!
Answer:
Step-by-step explanation:
i think 90
Please help meeeeeee 67 points
Answer:
B.) 20 degrees
Step-by-step explanation:
We know that the sum of angles in a triangle is equal to 180, so we can say that 80 + 4x + x is equal to 180. This means that 5x is 100 degrees, meaning that x = 20 degrees. The option with this answer is B.).
Answer:
The answer is B.
Step-by-step explanation:
4 × 20 = 80
80 + 80 = 160
A triangle is 180°
Find the missing x.
180 - 160 = 20
Plug 20 in for both x's to check your work.
Hope this helps :)
-ilovejiminssi♡
Duane And his family are playing a game Dwayne scores 11 points each tile matches 1/3 point model the solution with an equation how many tile matches this Dwayne make
Answer:
33 tiles
Step-by-step explanation:
Given
[tex]1\ tile = \frac{1}{3}\ points[/tex]
Required
Determine the number of tiles in 11 points
Represent this with x. So, we have:
[tex]1\ tile = \frac{1}{3}\ points[/tex]
[tex]x = 11\ points[/tex]
Cross Multiply
[tex]x * \frac{1}{3} = 11 * 1[/tex]
Multiply through by 3
[tex]3*x * \frac{1}{3} = 11 * 1*3[/tex]
[tex]x = 33[/tex]
Which of these statements is correct? Select all that apply.
A. A solution to the equation x
2 = 7 is x = √49
B. A solution to the equation x
2 = 15 is x = √15
C. A solution to the equation x
2 = 38 is x = ³√38
D. A solution to the equation x
3 = 3 is x = ³√27
Answer:
A and B lowkey don't feel like doing the rest cause I'm slow
Step-by-step explanation:
What is the value of: (3.3) + (-1) - (-1.7)
Answer:
4
Step-by-step explanation:
3.3 + -1 is 2.3
2.3 - -1.7 is 4
What is the length of segment AC?
The y difference of the 2 lines are 6(you can just count these)
The x difference of the 2 lines are 8(again you can count this)
Now calculate distance using distance formula (the pythag theorem)
sqrt(6^2+8^2)=sqrt 100= 10
Therefore the distance of AC is 10.
Can someone tell me the answer
Answer:
y=8x+4
Step-by-step explanation:
pleasee helpp honestly im stuck i dont know how to graph this equation. it says to graph the funcion c(x)=3x-1
first take the 3 and place it over the negative one in quadrant 2
Answer:
apply number to the X when x= y = 3*0-1 =-1
x=1 y = 3*1-1 = 2
x = 2 y = 3*2-1 =5
Please hurry!!!!!!!!!!!!!!!!!!
Answer:
38
Step-by-step explanation:
Range is the largest number minus the smallest number
55-17=38
I hope I hurried enough
Answer:
Your question is not proper.Here, you said that range of data. But where is the data? How can you expect answer without giving proper question?
HELP!!!!!!!!!!!!!!!!!!!!!!! :)
Hey there!
The answers are as follows:
7.)
m∠1 = 85
m∠2 = 95
m∠3 = 85
m∠4 = 85
8.)
m∠1 = 60
m∠2 = 120
m∠3 = 60
m∠4 = 120
9.)
they all equal 90
10.) No. Parallel lines do not cross each other, but these, if extended, would cross. You could use a protractor by measuring corresponding angles, and if they aren't equal, they aren't parallel.
Have a terrifcly amazing day!
Solve for n. N3 = 16
The length of a recgangle is teice is width if the perimeter is 72 metre find the length and width of the rectangle
Answer:
Let width = b
Then length,l=2b
Perimeter =72
2(l+b)=72
2(2b+b)=72
2(3b)=72
6b=72
b=72/6=12
L=2b=12x2=24
The perimeter of a rectangle is 35cm. The length is 5cm. Write and
solve an equation to find the width of the rectangle.
Answer:
P = 2L + 2W
35 cm = 2(5 cm) + 2(W cm)
W = 12.5 cm
Step-by-step explanation:
P = 2L + 2W
35 cm = 2(5 cm) + 2(W cm)
35 cm - 10 cm = 2W cm
2W cm = 25 cm
w cm = 12.5 cm
Step-by-step explanation:
step 1. a rectangle has 2 sets of congruent sides; we will call them l and w.
step 2. P (perimeter) = l + l + w + w = 35
step 3. 35 = 5 + 5 + 2w
step 4. 25 = 2w
step 5. w(width) = 12.5 cm.
Tony buys 2 boxes of chocolates. One is 4 in. 7 in. 8 in. And 8 in. 5 in. 6 in. Which box has the larger volume?
Answer:
Second box
Step-by-step explanation:
Volume (of the box) = length * width * height
Volume of first box is: 4 * 7 * 8 = 224
Volume of second box is: 8 * 5 * 6 = 240
Since 224 < 240, the volume of the second box has the larger value.
Answer:
second choice
Step-by-step explanation:
Help due tonight
Solve the following system of equations.
3x + y = -21
-3x - 3y = 15
X=
y =
Answer:
I have solved it in elimination method if you need it in another method let me know.
Step-by-step explanation:
3x+y=21
-x-y=5
2x=26
x=13
-3×13-3y=15
y= -18
PLS HELP!! BRAINLIESt & 20 POINTS!! AND AN EXTRA THANKS AND 5 STARS
You survey your class to find out the types of pets they have at home.
Below are the results:
Dog, Dog, Cat, Cat, Cat, Dog, Hamster, Fish, Dog, Fish
a. Make a frequency table for the results. Continue on the following page.
b. Calculate the relative frequencies of the each animal type.
c. Using the relative frequencies explain which animals are most and least popular. Be specific and explain your reasoning.
Answer:
Step-by-step explanation:
a) Frequency table:
Category Frequency
Dog 4
Cat 3
Fish 2
Hamster 1
b) Relative frequencies of each animal type
Dog: 4/10 = 0.4
Cat: 3/10 = 0.3
Fish: 2/10 = 0.2
Hamster: 1/10 = 0.1
c) Popularity
Dog is the most popular because it has the highest relative frequency.
Hamster is the least popular because it has the lowest relative frequency.
what's
[tex]1024 \div 256[/tex]
Answer:
4 ...................
Step-by-step explanation:
hope the answer was helpful ......
Answer:
1024÷256=4
Step-by-step explanation:
hope u get that
Select the values of that make the inequality true.
X< 2.1
Answer:
B, C, and D
Step-by-step explanation:
They all have lower values than 2.1
A cookie jar starts off with 32 cookies in it, and
each day 2 cookies are eaten. After a certain
number of days, there are 14 cookies left in the jar.
Which of the following equations represents the
day, d, when there are 14 cookies in the jar?
Answer:
9 days
Step-by-step explanation:
32-2-2-2-2-2-2-2-2-2 = 14
The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given,
Initial cookie = 32
Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.
Remaining cookies = initial cookies - eaten cookies
Remaining cookies = 32 - 2d
The day when 14 cookies remain will be,
14 = 32 - 2d
2d = 32 - 14
d = 9
Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".
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The volume of a box is 231 cubic inches. The width is 7 inches. The length is 8 inches more than the height. Find the missing dimensions.
Answer:The missing dimensions are now
width =7inches
length = 11 inches
Height = 3 inches
Step-by-step explanation:
Volume of a box is given as =width x length x height 231 in^3
Given
width = 7 inches
height =represented as h
l = 8 inches more than the height= 8+h
V = w x l x h
231 = 7(8+h)(h)
231=( h² + 8h)7
231/ 7= h²+8h
33= h²+8h
Giving us the quadratic equation
h² + 8h - 33 = 0
=(h-3)(h+11) = 0
h-3= 0
h= 3 also h+11=0, h=-11
h= 3 or -11
Since the value of height cannot have a negative value,
h = 3inch
l = 8+h = 8+3 = 11 in
The missing dimensions are now
width =7inches
length = 11 inches
Height = 3 inches
Find an ordered pair (x, y) that is a solution to the equation. x-3y = 6
Answer:
(0, -2)
(6, 0)
Step-by-step explanation:
pick a value for 'x', plug it into the equation, then solve for 'y'
pick a value for 'y', plug it into the equation, then solve for 'x'