How would the following numbers be represented in E notation?
3.287 x 10^6
capricia is using ribbon to create girls hair barrettes. she has a total of 64 yrds of ribbon with which to make her creations. Regular barrettes requires 1 yrd of ribbon and a deluxe of barrettes use 4 yds .
WRITE AN INEQUALITY
The inequality that represents the situation is 1*R + 4*D <= 64 which indicates that the total amount of ribbon used to make regular and deluxe barrettes should not exceed 64 yards.
Explanation:Let's denote the number of regular barrettes as R and that of deluxe barrettes as D. Each regular barrette requires 1 yard of ribbon and each deluxe barrette requires 4 yards of ribbon. We know that Capricia has a total of 64 yards of ribbon. Therefore, we can create the inequality as follows:
1*R + 4*D <= 64
This inequality states that the total amount of ribbon used for both the regular and the deluxe barrettes should not exceed 64 yards.
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You are climbing a mountain by the steepest route at a slope of 10∘ when you come upon a trail branching off at a 45∘ angle from yours. What is the angle of ascent of the branch trail?
When a trail branches off from a path with a 10° slope at a 45° angle, the angle of ascent of the branch trail is still 10° if the steepness remains constant.
If you are climbing a mountain by the steepest route at a slope of 10° and then encounter a trail that branches off at a 45° angle from your current path, we can calculate the angle of ascent of the branch trail using geometric relationships. To do this, we must comprehend that slopes can also be represented in percentages and are related to angles. For instance, a 100% slope corresponds to a 45° angle.
The steepest route you are initially taking has a 10° slope. When the branch trail diverts at a 45° angle from your path, this is not the angle of ascent but rather the angle between the two paths. If we consider a straight climb as a slope of 90°, your ascent angle would not change as it is still 10°. The branch trail effectively shifts direction but not necessarily the steepness of the path. Hence, the angle of ascent for the branch trail would also be 10°, assuming it maintains the same steepness as your original path.
what is the scietnific notation of 108,000,000?
...?
a segment has endpoint (-4,8) and 4,12) what are the coordinates of the midpoint
A laptop computer is purchased for 2300 . After each year, the resale value decreases by 35% . What will the resale value be after 4 years?
round your answer to the nearest dollar ...?
Liv wants to buy a new pair of jeans for an upcoming party. She finds a pair she likes that was originally priced at $50 and is now on sale for $42. What is the percent of discount for this item?
A.) 16%
B.) 18%
C.) 20%
D.) 25%
A jeweler orders necklaces from a website that offers $6 shipping for any-size order. each necklace costs $7. the jeweler wants to know the total cost of ordering n necklaces.
Answer:
7n + 6.00
Step-by-step explanation:
A jeweler orders necklaces from a website that offers $6 shipping for any size order.
Each necklace costs $7.00
The jeweler wants to know the total cost of ordering 'n' necklaces.
Therefore the cost of the necklaces is
Total Cost = 7n + 6.00
prove the identity. show all work. tan(x-pi/4)=tanx-1/tanx+1
We used the tangent difference identity to rewrite the LHS in terms of [tex]\( \tan x \) and \( \tan \frac{\pi}{4} \)[/tex], then simplified to match the RHS, confirming the identity.
To prove the identity [tex]\( \tan(x-\frac{\pi}{4}) = \frac{\tan x - 1}{\tan x + 1} \),[/tex] we'll start with the left-hand side (LHS) and manipulate it to match the right-hand side (RHS).
LHS: [tex]\( \tan(x-\frac{\pi}{4}) \)[/tex]
Using the tangent difference identity, [tex]\( \tan(a - b) = \frac{\tan a - \tan b}{1 + \tan a \cdot \tan b} \)[/tex], we have:
[tex]\[ \tan(x-\frac{\pi}{4}) = \frac{\tan x - \tan \frac{\pi}{4}}{1 + \tan x \cdot \tan \frac{\pi}{4}} \][/tex]
Since [tex]\( \tan \frac{\pi}{4} = 1 \)[/tex], we can substitute:
[tex]\[ \tan(x-\frac{\pi}{4}) = \frac{\tan x - 1}{1 + \tan x \cdot 1} \][/tex]
[tex]\[ = \frac{\tan x - 1}{\tan x + 1} \][/tex]
This matches the RHS of the identity. Therefore, we have successfully proved the identity.
What is the equation of the line that has a y-intercept of -7 and is perpendicular to the line represented by the equation below? 8x 7y=19
Answer: red sus tbh
Step-by-step explanation:
Cristiano Ronaldo has a messy house. He hires a maid to clean his house for $125 per visit.
Part A:Write a function to represent the total cost Cristiano spends having his house cleaned.
Part B: Define the input and output in the given scenario.
Answer: y (x)= 125 x
input : number of visits "x"
output :total cost "y"
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Cost per visit: $125So, to obtain the total cost (y) we have to multiply the cost per visit by the number of visits (x)
y (x)= 125 x
Where the input is the number of visits "x" and the output is the total cost "y"
Feel free to ask for more if needed or if you did not understand something.
What is the x-intercept of the equation 2x-6y=12?
A customer went to a garden shop and bought some potting soil for 12.50 and 5 shrubs.The total bill was 62.50. Write and solve and equation to find the price of each shrub
Each face of a pyramid is an isosceles triangle with a 74° vertex angle. What are the measures of the base angles?
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
An isosceles triangle is a triangle whose two sides are equal and the angle opposite to the equal sides are equal.
The sum of the isosceles triangle = 180°
The base angle of the isosceles triangle for each face of a pyramid is 53°
What is a triangle?Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle whose two sides are equal and the angle opposite to the equal sides are equal.
Now,
Vertex angle of the isosceles triangle = 74°
The sum of the isosceles triangle = 180°
Let the two equal base angles = x
x + x + 74° = 180°
2x + 74° - 180°
2x = 180 - 74
2x = 106
x = 53°
Thus,
The base angle of the isosceles triangle for each face of a pyramid is 53°
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a square is just big enough to contains a unit circle. what is radius of the largest circle in one of the corners in the square but outside the unit circle?
For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x)
Answer:
The required answer is: [tex]-x^2+2x+8[/tex]
Step-by-step explanation:
We have been given the two function:
[tex]f(x)=2x+1[/tex]
And [tex]g(x)=x^2-7[/tex]
We have to find (f-g)(x):
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](2x+1)-(x^2-7)[/tex]
[tex]2x+1-x^2+7[/tex]
[tex]-x^2+2x+8[/tex]
We will get the quadratic expression after the prescribed operation been applied.
Hence, the required answer is: [tex]-x^2+2x+8[/tex]
What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?
A: x=3/2
B: x=-1/6
C: x=-1/2
D: x=-3/2
a rectangle has a perimeter of 88 ft. if the ratio of its length to width is 9:2, what is its actual length and width
What's the numerator for the following rational expression? G/h + 8/h = ?/h
Order 51/62 32/43, and 74/87
what is 9(x+86x)-800+900x
Two triangles that have the same side lengths will always be congruent.
A. True
B. False
Shuttle A departs every 8 minutes Shuttle B departs every 10 minutes and Shuttle C departs every 12 minutes. If all shuttles leave the airport at 4:00 P.M., at what time will they next leave the airport together?
Bob climbed down a ladder from his roof, while Rob climbed up another ladder next to him. Each ladder had 30 rungs. Thrir friend Jill recorded the following information about Bob and Rob: Bob Went down 2 rungs every second .Rob went up 1 rung every second . At some point , Bob and Rob were at the same height. Which rung were they on ?
The problem involves finding the time and the rung at which Bob and Rob meet. They both meet on the 10th rung after 10 seconds of Bob's descent and Rob's ascend on their ladders, moving at their respective rates.
Explanation:In this problem, we are asked to find the rung at which both Bob and Rob meet. Each ladder has 30 rungs. Bob is descending from 30 rungs, moving down 2 rungs every second. Rob is ascending from 0 rungs, moving up 1 rung every second. To determine where they meet, we need to find the time at which the rungs they're on coincide.
Bob goes down 2 rungs per second, so in 't' seconds Bob will be on the 30 - 2t rung. Similarly, Rob goes up 1 rung per second, so in 't' seconds Rob will be on the t rung. They meet when 30 - 2t equals t. Solving this equation gives us that t equals 10 seconds.
So at 10 seconds, they meet & the rung they're on is t = 10. Hence, Bob and Rob meet on the 10th rung.
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Help please!!
Solve for r.
p = 4r + 3t
A) r =
p - 3t
4
B) r =
p - 4t
3
C) r =
p + 3t
4
Eliminate
D) r =
p + 4t
3
given the function f(x)=3√x-2; What restriction is there on the value uner the square root symbol? In other words what can't you do with a square root expression? ...?
Answer:
x must be greater than or equals to 2
Step-by-step explanation:
Here we follow the rule , which says that , the term inside the square root must not be less than 0. It is because, square of any real number whether positive or negative always results in a positive real number. Hence , there can not be negative real number whose sqaure root exists.
Hence
In order to function to be defined ,
x-2>=0
Adding 2 on both sides we get
x>=2
Hence this is our condition.
The perimeter of triangle ABC is 54 inches. Find the length of each side. A right triangle. The vertices of the triangle are labeled A, B, and C. Leg AB is labeled 3x. Leg BC is labeled 4x. Side AC is the hypotenuse and is labeled 5x.
Classify the numbers as prime or composite
I am gonna give you classify three numbers as prime numbers and three numbers composite numbers, since you never mentioned about any specific numbers.
Prime numbers
1.3- it is a prime number because they only factors it has, is 1 and itself.
2.11- it is a prime number because you can only multiply by 11 or 1 to get 11.
3.13- it is a prime number because it only has 2 factors.
Composite numbers
1.4- it is a composite number because it has more than 2 factors.
2.8- it is a composite number because it has 1,2,4, and 8 as its factors.
3.14- it is a composite number because it has 1,2,7,and 14 as its factors.
Katie earned $1890 in 7 years on an investment at a 6% annual simple interest rate. How much was Katie’s investment?
How to divide this 4.48÷1.4