Answer:
123 pens in Box A
Step-by-step explanation:
To solve this we will rewrite the word problem as an equation...
5x (A)
x (B)
When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...
5x - 82 (Change in Box A - subtraction)
x + 82 (Change in Box B - addition)
The problem now states that Box A and Box B are equal...
5x - 82 = x + 82
--- subtract x from both sides ---
4x - 82 = 82
--- add 82 to both sides ---
4x = 164
--- divide both sides by 4 ---
x = 41 pens
Now, we replace the x in the expression "5x - 82" with 41...
5(41) - 82 = 205 - 82
205 - 82 = 123
123 pens in Box A
Hope this Helps!
A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 30 ∘ ∘ and that the angle of depression to the bottom of the tower is 26 ∘
. How tall is the tower?
The height of the tower is 452.66 ft
The situation will form 2 right angle triangle. One above the line of sight
and one below the line of sight.
Therefore,
Using trigonometric ratio,
tan ∅ = opposite / adjacent side
tan 30° = h(top of the tower) / 425
h(top of the tower) = tan 30 × 425 = 245.373864406
tan 26° = h(bottom of the tower) / 425
h(bottom of the tower) = 425 × tan 26° = 207.28635014
Therefore,
Height of tower = h(top of the tower) + h(bottom of the tower)
Height of tower = 245.37 + 207.29 = 452.66 ft
learn more: https://brainly.com/question/12855949?referrer=searchResults
15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?
Answer:
3000 residentsStep-by-step explanation:
Given:
15% of population = 450100% of population = xCross-multiply and solve for x:
x = 100*450/15 = 3000Theresa ran 7.56 miles this week. Write her distance as a mixed number and as an improper fraction.
Answer:
Mixed=7 14/25 improper=189/25
Step-by-step explanation:
A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?
Based on the information given the original size of the bottle is 17.5 ounces.
Using this formula
Original size of the bottle =New bottle size / Percentage increase
Where:
New bottle size=18.4 ounces
Percentage increase=(1+0.05)=1.05
Let plug in the formula
Original size of the bottle=18.4/(1+0.05)
Original size of the bottle=18.4/1.05
Original size of the bottle=17.5 ounces
Inconclusion the original size of the bottle is 17.5 ounces.
Learn more about original size of the bottle here:https://brainly.com/question/25001466
Answer:
17.5
Step-by-step explanation:
i did the math and also im never wrong swear on got thats the annswer
help plsssssssssssss
Answer:
with what
Step-by-step explanation:
Answer:
help with? there's nothing there
what is the height of h of the triangle?
Answer:
4.23 feet
Step-by-step explanation:
We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.
what is 433.54 in terms of pi?
Answer:
The angle value 433.54 π rad (pi radian) in words is "four hundred and thirty-three point five four π rad (pi radian)".
Step-by-step explanation:
got the information from the internet
click on the link i need help
Answer:
Uuuuh thats kind of suspicious, maybe you could post your question without a link? But links are usually scams, so dont do that :)
Marking as brainliest! Great the similarity statement!
Answer
1. ΔABC ≅ ΔEFG
2. ΔMKL ≅ ΔVKU
3. ΔMLN ≅ ΔNCD (With this one I couldn't fully read the letter in the middle. I couldn't tell if it was an N or a B so just swap it for the right letter. <3)
4. ΔFGH ≅ ΔRHQ
5. ΔUVL ≅ ΔMNL
6. ΔQRS ≅ ΔVUT
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Consider function f.
Which graph represents function f?
A. W
B. X
C. Y
D. Z
Answer:
W
Step-by-step explanation:
I got a 100% on my test
Each element of X receives exactly one element of Y when a function from one set to the other is used. W graph illustrates the function f.
Explain about the function?
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).
An example of a rule is a function, which yields one output from a single input. The picture was obtained from Alex Federspiel. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We would say that y is a function of x since x is the input value.
A function is a relationship between a collection of inputs and a set of potential outputs, where each input is connected to exactly one output, in accordance with a technical description.
To learn more about function refer to:
https://brainly.com/question/25638609
#SPJ2
How do I find the percent of change
Answer:
200%
Step-by-step explanation:
It increases by 3 times. Because 100% increase is a 2x increase, 200% will be a 3x increase. Therefore, your answer is 200%.
What is the surface of this shape
Answer:
Find the area of all of the different shapes (2D)
and then add them up together to find the surface area.
3×2
6×2
6×2
5×3
6×3
1×3
1×4
1×4
4×3
Then you add them up together.
6+12+12+15+18+3+4+4+12=ANS.
6,600,000,000 exponential notation
Answer:
6.6 x 10^9
Step-by-step explanation:
The value of the function f(x) = 5x +7 at 3 is
Answer:
22
Step-by-step explanation:
Substitute x = 3 into f(x) , that is
f(3) = 5(3) + 7 = 15 + 7 = 22
Hello, is there anyone here a pharmacy technician?
please help me with these questions I could truly appreciate it. No link please!
Explain why an exponential or logarithmic function would not be used to model the graph from question 1?
For Question 1, what is the y intercept and explain the meaning in the context of that problem?
Answer:
see below
Step-by-step explanation:
neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.
1. 600, y intercept is when the study began
A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.
The graph is neither an exponential function, nor a logarithmic functionThe y-intercept is 600The function type
An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.
These functions would not increase and then decrease or decrease and then increase at different intervals.
From the attached graph, we can see that the graph increases and decreases at several intervals.
Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.
The y-intercept
The graph cross the y-axis at y = 600.
Hence, the y-intercept is 600
Read more about exponential and logarithmic functions at:
https://brainly.com/question/3181916
Explain how each location given in the table is related to the origin.
Refer to the attachment
9.
Use vertex form to write the equation of the parabola.
A. y = (x + 3)^2 - 3
B. y = 2(x - 3)^2 - 3
C. y = 2(x - 3)^2 + 3
D. y = 2(x + 3)^2 - 3
Answer:
Step-by-step explanation:
hmm
Simplify the expression ((1/2)^3)^3
Helppp
What is 2+100009 it for my homework and I need it done today
Answer:
100011
Step-by-step explanation:
Jersey Mike’s is offering $0.80 off its foot-long sub sandwiches. If this represents a 20% markdown, what is the sub’s regular selling price?
Help help math help help help math
Step-by-step explanation:
We know that angles on a straight line add up to 180, so:
5x+5+5x+5=180
Simplify
10x+10=180
Solve
Take away 10 from both sides
10x=170
Divide 170 by 10
x = 17
Find the product -5.5(-1/5)?
a. -1.1
b. 2.75
c. 1.1
d. -0.275
Answer:
c. 1.1
Step-by-step explanation:
-5.5(-1/5) = 5.5/5 = 1.1
HOW DO I FIND QR
PLEASE HELP
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
(Hypotenuse)² = (Adjacent)² + (Opposite)²(PR)² = (QR)² + (PQ)² (5x - 2)² = (QR)² + (3x - 1)² (QR)² = (5x - 2)² - (3x - 1)²After factorising both of them we get
(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1(QR)² = 16x² - 14x + 3QR = √(16x² - 14x + 3)So, QR is √(16x² - 14x + 3)
Solve for N is this equation.
Answer:
[tex]n + (13 - 6) = 124[/tex]
[tex]n+13-6=124[/tex]
[tex]n+7=124[/tex]
[tex]n+7-7=124-7[/tex]
[tex]n=117[/tex]
Waiting times to receive food after placing an order at the local Subway sandwich shop follow an exponential distribution with a mean of 66 seconds. Calculate the probability a customer waits:a. Less than 39 seconds.
Using the exponential distribution, it is found that there is a 0.4462 = 44.62% probability that a customer waits less than 39 seconds.
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
In this problem, mean of 66 seconds, hence, the decay parameter is:
[tex]\mu = \frac{1}{66}[/tex]
The probability that a customer waits less than 39 seconds is:
[tex]P(X \leq 39) = 1 - e^{-\frac{39}{66}} = 0.4462[/tex]
0.4462 = 44.62% probability that a customer waits less than 39 seconds.
A similar problem is given at https://brainly.com/question/17039711
Evaluate the expression for the given variable 4y-12, when y =7
Answer:
16
Step-by-step explanation:
y = 7
4(7)-12
28-12 = 16
when 8 is subtracted from a certain number and the result is multiplied by 3 and the answer is 21 what is the original number
Step-by-step explanation:
The Real Answer Is 63
Maybe Positive Or Negative
What is 3/1,000 as a decimal
Answer: 3/1000 as a decimal is 0.003.
Explanation;
3/10 = 0.3
0.3/10 = 0.03
0.03/10 = 0.003
Can someone please help me
Answer:
Q14. Percentage decrease in price of TV
= (1100-1034)r1100×100%
= 66r1100×100%
= 6%
Q15. 450r9000 × 100% = 5% discount
Answer:
Q14 - 6% decrease
Q15 - 5% decrease
Step-by-step explanation:
how to get your answers;
subtract starting value with final value
divide the sum with the starting value
multiply by 100 and round if needed
hope that helps. ♥️