Find the inverse of the given function.
y = log2(4x)
Answer:
f^−1(x)=2^x/4
Step-by-step explanation:
The inverse of the function will be;
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ y = log₂ (4x)
Now,
Since, The function is,
⇒ y = log₂ (4x)
Find the inverse of the function as;
⇒ y = log₂ (4x)
⇒ [tex]2^{y} = 4x[/tex]
⇒ [tex]\frac{2^{y}}{4} = x[/tex]
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Thus, The inverse of the function y = log₂ (4x) is,
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Learn more about the function visit:
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A home security company provides security systems for $6 per week, plus an installation fee. The total fee for 10 weeks of service is $345. Write and solve a linear equation to find the cost of the installation fee.
Answer: $285
Step-by-step explanation:
Let the installation fee be represented by x.
Therefore, the equation to solve the question will be:
= x + 6w
where,
x = installation cost
w = number of weeks
x + 6w = 345
x + 6(10) = 345
x + 60 = 345
x = 345 - 60.
x = 285
Therefore, the installation fee is $285
∠A and \ angle B∠B are complementary angles. If m\angle A=(x+8)^{\circ}∠A=(x+8) ∘ and m\angle B=(8x+1)^{\circ}∠B=(8x+1) ∘ , then find the measure of \angle A∠A.
Answer: [tex]17^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle A=(x+8)^{\circ}[/tex]
[tex]\angle B=(8x+1)^{\circ}[/tex]
Angle A and B are complementary i.e. sum of the two must be [tex]90^{\circ}[/tex]
[tex]\Rightarrow \angle A+\angle B=90^{\circ}\\\Rightarrow x+8+8x+1=90^{\circ}\\\Rightarrow 9x=90-9=81^{\circ}\\\Rightarrow x=9^{\circ}[/tex]
[tex]\therefore \angle A=x+8^{\circ}=9+8\\\Rightarrow \angle A=17^{\circ}[/tex]
Explain how you use a net to find the surface area of a prism.
Answer:
Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.
Step-by-step explanation:
Answer:
By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.
Step-by-step explanation:
This is edges sample resopnse
can someone please answer this
Answer:
its c
Step-by-step explanation:
What is the missing degree measure of the third angle of the triangle below?
46°
56°
68°
90°
Answer:
56 degrees
Step-by-step explanation:
Hello there!
Remember the sum of the angles in a triangle is equal to 180
so to find the missing angle we subtract the given angles from 180
180 - 34 - 90 = 56
so we can conclude that the measure of the missing angle is 56 degrees
Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from
Answer:
third angle Δ = 56°hope it help you
identify the missing number 41, 48,33,40,62,55,54,?,
Answer:
47
Hope it helps
Please mark me as the brainliest
Thank you
Answer:
can I get how you solved it
PLS HELP WILL GIVE BRAINLIEST
Answer:
Micah can earn $2,669
I hope this helps
Step-by-step explanation:
the square on the right is a scaled copy of the square on the left identify the scale factor
What is the y-intercept of the graph below? (please show answer)
Answer:It connects with the line showed
Step-by-step explanation:
Answer: the y-intercept is (0,-1)
u get this by looking at the coordinate on the y axis and figure it out...
Step-by-step explanation:
This statement shows the ______ property.
Answer:
besti you didnt put the statement
Help meeeee please and thank you
1. Complete these statements. Give an example and solution of each.
Whenever you divide two terms with the same base, you ______ the base and _______ the exponents.
Example:
Whenever you multiply two terms with the same base, you _________ the base and ___________ the exponents.
Example:
Answer:
Whenever you divide two terms with the same base, you keep the base and subtract the exponents.
Example:
x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴
or
8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷
Whenever you multiply two terms with the same base, you keep the base and add the exponents.
Example:
x³ × x⁷ = x³⁺⁷ = x¹⁰
or
12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴
#5 need help asap will give brainly
This might help
total surface area Stot = 42.5 ft2
lateral surface area Slat = 30 ft2
top surface area Stop = 6.25 ft2
bottom surface area Sbot = 6.25 ft2
but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho
Answer:
42.5
Step-by-step explanation:
To find how many square inches of wrapping paper he will need you need to find the area of each face of the box and add them all together.
Top and bottom face:
First, 2.5 times 2.5 equals 6.25. Multiply 6.25 times 2 since there is one for the top and bottom to get 12.5
Left, Right, front, and back face:
Multiply 2.5 by 3 to get 7.5, and multiply 7.5 by 4 to get 30 since there are four faces with the same area.
Final Step:
Now, just add all the areas of the faces calculated to recieve the answer of 42.5
30 + 12.5 = 42.5
a rational number m is called a perfect square if and only if for some positive rational number, m equals
A regular 13-gon is inscribed in a circle. Find the measure of each are intercepted by the sides of the polygon. Round your answer to the nearest hundreth of a degree.
Answer:
The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°
Step-by-step explanation:
The number of of equal sides in a regular 13-gon = 13 sides
The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;
θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]
By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°
Write a real world problem for: 80-3x=53
Answer:
Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?
Step-by-step explanation:
In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.
La diferencia de dos numero es 3.su suma es 13 cuáles son los dos numero
Answer: Los dos números son 8 y 5
Explanation:
Considere los dos números como
x
and
y
A partir de los datos dados, escribimos:
x
−
y
=
3
x
+
y
=
13
A partir de la primera ecuación, determinamos un valor para
x
.
x
−
y
=
3
agregar
y
a ambos lados.
x
=
y
+
3
En la segunda ecuación, sustituya
x
with
(
y
+
3
)
.
x
+
y
=
13
(
y
+
3
)
+
y
=
13
Abra los corchetes y simplifique.
y
+
3
+
y
=
13
2
y
+
3
=
13
Sustraer
3
de cada lado.
2
y
=
10
Divide ambos lados por
2
.
y
=
5
En la primera ecuación, sustituya
y
con
5
.
x
−
y
=
3
x
−
5
=
3
Agregar
5
a cada lado.
x
=
8
Step-by-step explanation:
I need help? anyone know the answer?
Answer:
the answer you are looking for is B
Your at a sandwich shop, they offer 3 types of breads, 4 types of meats, and 8 types of toppings. How many different combinations are there?
Answer:
96 combinations
Step-by-step explanation:
when you get a question like this you multiply all the numbers and you get total number of combinations possible
Answer:
36 outcomes
As this a sandwich shop it uses bread for all meats.
3 x 4 x 3 = 36
Because 3 x 4 = 12
As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this
Step-by-step explanation:
B1 M1 < B1 M2 < B1 M3 < B1 M4 < B1 M1 T1 < B1 M1 T2 < B1 M1 T3 to B1 M1 T8 etc = 12 combinations step 1
B2 M1 repeat above with B2 to replace B1 above = 12
B3 M1 repeat above with B3 to replace B1 above = 12
As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96
Bread x middle value then outcome x toppings = 36 outcomes
What is the total cost to the nearest cent? $14.30 watch; 6.75% tax
Answer:
$15.27
Step-by-step explanation:
Michael surveyed 960 of the students in his school about their favorite color. 912 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:
95%
Step-by-step explanation:
912÷960=0.95
Hope this helps.
help
me
im so lost lol
Answer: 10.2
Step-by-step explanation:
Use the Pythagorean Thoerem
[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]
[tex]b=\sqrt{104}\\\\b=10.2[/tex]
Answer:
x = 10.2
Step-by-step explanation:
the exact solution is 10.19804
ASSAP EASY MATH does a shape stay congruent when it has been rotated
Answer:
They are still congruent even after being rotated they still will remain the same shape.
Step-by-step explanation:
Answer:All the sides of each shape must be identical. so yes if it is
Step-by-step explanation:
Two glasses of milk and 3 snack bars have a total of 67 carbohydrates (carbs), and 4 glasses of milk and 2 snack bars have a total of 47 carbs. Determine how many carbs are in one glass of milk and in one snack bar.
Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.
Step-by-step explanation:
Take milk to to be M and snack bars to be S.
Use algebra, so
2m + 3s = 64 and also
4m + 2s = 72
Multiply the top equation by 2 so both have 4m, so
4m + 6s = 128 and also
4m + 2s = 72
Then minus the numbers form the top equation by the bottom equation, so
4m + 6s = 128
- - -
4m + 2s = 72
This gives you 4s=56 so divide by 4 so s=14
No put 14 into the equation for s and rearrange to solve for m, so
2m+3s=64 So
2m+3x14=64
2m+42=64
Then minus 42
2m=22
m=11
Reflect line AB over the y axis HELP PLS
Answer:
Here is the answer
And I have a problem
Step-by-step explanation:
Construct a 90% confidence interval for μ1-μ2 with the sample statistics for mean calorie content of two bakeries' specialty pies and confidence interval construction formula below. Assume the populations are approximately normal with equal variances.
Answer:
The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)
Step-by-step explanation:
The given data are;
Bakery A
[tex]\overline x_1[/tex] = 1,880 cal
s₁ = 148 cal
n₁ = 10
Bakery B
[tex]\overline x_2[/tex] = 1,711 cal
s₂ = 192 cal
n₂ = 10
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]
df = n₁ + n₂ - 2
∴ df = 10 + 18 - 2 = 26
From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]
[tex]\hat \sigma[/tex] ≈ 178
Therefore, we get;
[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]
Which gives;
[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]
Therefore, by rounding to the nearest integer, we have;
The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289
Please Hurry !!
The speed s (in miles per hour of a car driving on wet asphalt can be given by s = 3 square root d, where d is the stopping distance (in feet). What is the approximate stopping distance of a car traveling 80 miles per hour? Round your answer to the nearest hundredth.
Answer:
d = 711 miles
Step-by-step explanation:
The speed s of the car is given by :
[tex]s=3\sqrt{d}[/tex] ...(1)
Where
d is the stopping distance
We need to find the stopping distance of a car travelling at 80 mph.
Rearranging equation (1) for d.
[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]
or
d = 711 miles
So, the required stopping distance is 711 miles.
There is supposed to be a 5 at the end PLEASE HELPPPPPPPPPPP
Answer:
D
Step-by-step explanation:
You basically just add the numbers where x is. I tried it with 5 and both equalled 28. Using 5 as x makes the equation equal which is what we are looking for. So the answer is x=5.
Gary is 4 years less than three times his brothers age, b. The sum of Gary and his brothers' age is 52. Write an equation to represent this relationship. Please need ASAP. 10 POINTS!
Answer:
52 = b + (3b - 4)
Which equation can be used to find the value of x?
Answer: D
Step-by-step explanation:
The perimeter is all the sides added up
2.5x + 2.5x + 10 + 2 + 10 =>
5x + 22
It is also given that the perimeter is 10.5x
meaning that both these values are equal
5x + 22 = 10.5x