Answer:
38
Step-by-step explanation:
180 - 104 = 76
76 divided by 2 = 38
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4 in and the height of the pyramid is 9.6 in. Round your answer to the nearest tenth of a cubic inch.
9514 1404 393
Answer:
21.6 in³
Step-by-step explanation:
The volume of a square pyramid is given in terms of perimeter and height by ...
V = (1/48)P²h
V = (1/48)(10.4 in)²(9.6 in) ≈ 21.6 in³
The volume is about 21.6 cubic inches.
What is the multiplicative rate of change for the exponential function f(x)=2(5/2) in decimal form
The multiplicative rate of change for the exponential function is 0.4.
What is an exponential function?The exponential function in mathematics is represented by the symbols f(x)=exp or ex. The word, unless otherwise stated, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
In mathematics, an exponential function has the following form: f (x) = an x, where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.
Given: Exponential function [tex]$f(x)=2\left(\frac{5}{2}\right)^{-x}$[/tex]
To find The multiplicative rate of change for the exponential function.
Solution :
The general form of the exponential function is [tex]$f(x)=a b^x$[/tex]
where $b$ is the rate of change of the function.
First we write the given function In proper form:
[tex]$$\begin{aligned}& f(x)=2\left(\frac{5}{2}\right)^{-x} \\& f(x)=2\left(\frac{2}{5}\right)^x\end{aligned}$$[/tex]
The rate of change is [tex]$f(x)=a b^x$[/tex]
Therefore, The multiplicative rate of change for the exponential function Is $0.4$
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An 8 ¼ -inch circular power saw blade rotates at 4400 revolutions per minute. (Round your answers to two decimal places.)
(a) Find the angular speed of the saw blade in radians per minute. ___________________
(b) Find the linear speed (in feet per minute) of the saw teeth as they contact the wood
being cut.
___________________
a) The angular speed of the saw blade in radians per minute is;
460.77 radians per minute.
b) The linear speed (in feet per minute) of the saw teeth as they contact the wood being cut is; 7.46 * 10⁻⁴ ft/min
How to find angular and linear speed?a) Angular speed is defined as the speed of the object in rotational motion
The formula of the angular speed is; ω = θ / t
where;
ω is the angular speed
θ is the angular rotation
t is the time taken.
We are given;
In one revolution, the angle made is 2π radian.
In 4400 revolutions = 2π * 4400 radian
= 8800π radians
We know that ,
1 hour = 60 minute.
Thus;
Angular speed = 8800π/60
= 460.77 radians per minute
b) The relationship between the linear speed and angular speed in a uniform circular motion is given by the formula;
s = rω
where;
s is the linear speed
r is the radius
ω is the angular speed.
radius = 8 ¼ -inch/2 = 33/8 inches
Conversion from inches to feet gives;
33/8 inches = 0.34375 ft
Thus;
s = 0.34375/460.77
s = 7.46 * 10⁻⁴ ft/min
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Five increased by the product of a number and 9 is greater than -27
As an inequality
Answer:
brhnrnr e euebe ehe we je euebe ejeje
please help will give brainliest if correct
Answer:
A
Step-by-step explanation:
What is 5 to the power of zero?
Answer:
1
Step-by-step explanation:
hope this helps, have a great day :)
Answer:
1
Step-by-step explanation:
any number to the power of 0 will equal to 1
[tex] {?}^{0} = 1[/tex]
There are 9 players on a baseball team there are 6 teams in the league how many baseball players are in the league
Answer:
54
Step-by-step explanation:
Multiply 9 (players per team) and 6 (teams in the league) to find the total players in the league.
9 times 6 = 54
PLEASE HELP ME BRIANLIEST THANKS, PROFILE THANKS, FRIEND REQUEST
(( you have to pull up the graph to fit the question))
Answer:
multiple answers
Step-by-step explanation:
1 dot above 1.25, 2 dots above 1.50, 3 above 1.75, 1 above 2.00, 3 above 2.25, one above 2.50, 1 above 2.75
hope it helps :)
An international company has 22400 employees in one country. If this represents 18.3 of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
The total number of employees that this company would be said to have is given as 122424
How to solve for the number of employeesHow to solve for the number of employees in the company
We know that the number of employees in one country is 22400, and that this represents 18.3% of the company's employees in total.
We can use this information to set up a proportion to find the total number of employees in the company.
Employees in one country / Total employees = 18.3 / 100
22400 / X = 18.3/100
To find the total number of employees, we can cross-multiply and divide:
X = (22400 * 100) / 18.3
X = 122424
So the company has a total of 122424 employees.
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Don has 6 pieces of pipe. Each piece is 2 feet 6 inches long.
If Don joins the pieces end to end to make one long pipe, how long will the new pipe be?
The pipe will be
feet
inches long.
Answer: 15 feet
Step-by-step explanation:
First you start with 2ft and 6in and convert it all into into inches.
If you know that 1 ft=12in then you know that 2 feet is the same as saying
12+12=24. If you don't understand use this chart-
1 ft=12in
2ft= 24in
3ft= 36in
4ft =48in
5ft= 60in
6ft= 72in
see I am counting by 12's.
Now take 2ft and convert it into inches. That would be 24 in (look in the chart).
now take the 24in(2ft) and add it to the 6in. So 24+6 =30
So now you know that one piece of pipe is 30in long.
But in the text it states that Don has 6 pieces, so...
because it says that he has 6 pieces of pipe then you are going to take that and multiply that number(6) by how long each piece is. look up and it shows how long each pieces is. They are all each 30in long. Take 30 and multiply that by 6 because there are 6 pipes and you will get 120in.
But it says that they need an answer of feet and inches or just feet if it exactly a some sort of foot like 43feet or 2 feet.
So then we are going to convert 180 into feet by dividing 180 by 12 and you get 15. So the answer is 15.
I hope this helps. Have fun learning!!
Answer:
The pipe will be 15 feet 0 inches long.
Step-by-step explanation:
1 pipe is 2 feet 6 inches long
There are 6 pieces
6×2= 12 feet 6×6= 36 inches
The pipe will be 12 feet 36 inches long, however, there are 12 inches in a foot so we can covert the inches to feet
36 inches ÷ 12 inches = 3 feet
12 feet + 3 feet = 15 feet
The pipe will be 15 feet 0 inches long.
What is the conditional frequency of a student who rides the bus being late to class first period?
Answer:
1/5
Step-by-step explanation:
The Constraint is ; those who rode the bus, hence it is conditional because we aren't focused on students, only students who rode the bus.
Now we want the frequency of those who were late Given that they rode the bus : for these we have 3 students
Total number of students who rode the bus , total possible outcome = 15
Hence, the conditional frequency = (number who rode bus and were late / otal number who rode the bus)
Hence, we have ; 3 / 15 = 1 / 5
Convert without rounding 1/8 to a decimal
Answer:
0.125
Step-by-step explanation:
Step 1: Find a number such that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on
Step 2: Multiply both numerator and denominator by that number to convert it into it's equivalent fraction.
Step 3. Then write down just the numerator, putting the decimal point in the correct place i.e., one space from the right hand side for every zero in the denominator
1/8 = (1×125)/(8×125) = 125/1000 = 0.125
Thus, as a decimal 1/8 is 0.125
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important
Answer:
C
Step-by-step explanation:
Answer:
Area of a rectangle=LxW
There's 2 rec's there
For the first
A= 1/3.s
For the second
L=12
W= 1/3
A = 1/3 . ( 12)
Total Area = 1/3.s + 1/3(12)
Now This can also be simplified by factorization
Total Area = 1/3(s+12)
We factored out 1/3 from both sides.
The question asked to select ALL THE EXPRESSION That represents the total area.
SO OPTION C and E
What is the volume of the following triangular prism?
Answer:
450 in²
Step-by-step explanation:
All we do is find the area of the triangle at the base and top then multiply by the height so:
5×12=60
60÷2=30 is the area.
Now as I said we multiply with the height to get our answer:
30×15=450 in²
Answer:
A
Step-by-step explanation:
base area = (leg 1 x leg2)/2 = (12 x 5)/2 = 30 in^2
V = base area x height of the prism = 30 x 15 = 450 in^3
Which equation has a solution of for n? 3 re
Answer:
you dont have a picture
Step-by-step explanation:
How many sixteenths are there in 3/8 ?
Answer:
6 sixteenths 6/16
Step-by-step explanation:
8 x 2 = 16
3 x 2 = 6
Can someone help me figure this out?
Answer:
x^3
Step-by-step explanation:
p.
Sue uses of a pitcher of sweet tea to fill
each of 6 matching glasses. What fraction of
the pitcher does Sue use to fill 1 glass?
Answer:
P. Sue uses 1/6 of the pitcher to fill 1 glass
Step-by-step explanation:
Find the product
(2z+9)(z-7)
Answer:
2z^2-5z-63
Step-by-step explanation:
2z^2+9z-14z-63
2z^2-5z-63
who is the richest president in the world
The richest president in the world is Sebastian Pinera, President of Chile with $2.4 billion.
100 POINTS plz dont answer unless you know how to solve this.
Answer:
31.9 mi
Step-by-step explanation:
AC/sin(angleABC) = AB/sin(angleACB)
Now you will write an informative paragraph that will help Frankie to understand his financial options and formulate best practices for spending and saving.
Answer:
Strategies that Frankie should consider:
1.) What he needs vs what he wants (does Frankie need new shoes?)
2.) Opportunity cost (savings Frankie would have to give up if he buys new shoes)
3.) Short-term and long-term goals (Does Frankie needs shoes now, or can he wait?)
Frankie should think about a number of options before purchasing a new pair of shoes. He should first consider whether he actually needs or wants these shoes. He should then think about opportunity cost. How else could he have used that money if he had not purchased the shoes? Could he have utilized his resources more effectively? He must also think about the issue of setting goals. He needs to decide if this is a task for the present or the future.
Also I dont understand how this is math
Please help, consider function f. F(x) = square root x-1 which graph represents function f?
Answer:
still waiting for the ai to solve it
A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function f(x)=√(x-1), therefore, the function can be represented on the graph as is Y.
Hence, the correct option is C.
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What is the expression in simplified form?
Answer:
mate what expression
Answer:
what expression?
Step-by-step explanation:
Let L be the line through A = (1, 2,−1) and B = (5,−3, 4).
Answer the following questions below:
1. Find a direction vector of L
2. Find a parameterization of L.
3. Find the two points on L that are at distance 2 away from A.
4. Find a unit speed parameterization of L.
Answer:
(4, -5, 5)L = (1+4t, 2-5t, -1+5t)(1+4√66/33, 2-5√66/33, -1+5√66/33), (1-4√66/33, 2+5√66/33, -1-5√66/33)(1-2t√66/33, 2+5√66/66, -1-5√66/66)Step-by-step explanation:
Given L is the line through A(1, 2, -1) and B(5, -3, 4), you want its direction vector, a parameterization of L, 2 points on L that are 2 units from A, and a unit speed parametrization of L.
1. Direction vectorA direction vector for L will be the vector AB.
[tex]\overrightarrow{AB}=B-A=(5,-3,4)-(1,2,-1)\\\\\boxed{\overrightarrow{AB}=(4, -5,5)}[/tex]
2. Parameterized lineThe parameterized equation will be ...
[tex]L=A+t\cdot\overrightarrow{AB}\\\\\boxed{L=(1+4t,2-5t,-1+5t)}[/tex]
3. Distance 2The direction vector has length √66, so we can find two points on L that are 2 units from A by using t = ±2/√66 in the parameterized equation.
Here, they are:
P1 = L(2/√66) = (1 +8/√66, 2 -10/√66, -1 +10/√66)
P2 = L(-2/√66) = (1 -8/√66, 2 +10/√66, -1 -10/√66)
In the Answer section above, these are written with rationalized denominators.
4. Unit speedThe unit speed parametrization uses the unit direction vector instead of the unnormalized direction vector in the parameterized equation. Effectively, t is scaled by a factor of 1/√66.
L = (1 +4t/√66, 2 -5t/√66, -1 +5t/√66)
In the Answer section above, this is written with rationalized denominators.
You might notice here that it is easier to answer part 3 if you have this equation. You need only substitute t=±2 to get the points 2 units from A.
In 2-4, write yes or no to indicate whether the expressions are equivalent. Grade 6 math, please help
-58 3 - 3 1 - 0
Solve.
Answer:
[tex]-9\frac{1}{4}[/tex]
Step-by-step explanation:
Rewrite our equation with parts separated
-5 - [tex]\frac{3}{4}[/tex] - 3 - [tex]\frac{1}{2}[/tex]
Solve the whole number parts
-5 - 3 = -8
Solving the fraction parts and Find the LCD
LCD = 4
[tex]-\frac{3}{4}[/tex] - [tex]\frac{2}{4}[/tex] = [tex]-\frac{5}{4}[/tex]
Simplify
[tex]-\frac{5}{4} = -1\frac{1}{4}[/tex]
Combine the whole and fraction parts
8 - 1 - [tex]\frac{1}{4}[/tex] = [tex]-9\frac{1}{4}[/tex]
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Determine whether the statement is true or false. If false, give a counterexample.
The constant of proportionality in an equation can never be 0.
Answer:
Step-by-step explanation:
Josh and Diego are comparing how much candy they have. Josh has five boxes and fifteen loose candies. Diego has six
boxes and three loose candies. However, they each have the same total amount of candy. If there are the same number of
candies in each box, how many pieces are in a box?
3. Equation:
4. Number of pieces in each box:
The solution of given algebra question is-The number of candies in each box is 12.
What are the Algebra Basics?In algebra, the fundamental concepts are numbers, parameters, constants, expressions, coefficients, linear equations, and quadratic equations. Additionally, it requires adding, subtracting, multiplying, and dividing basic arithmetic operations within the algebraic formulas.
What is the algebraic first rule?Multiplication and division tasks should be completed first from left to right, followed by addition and subtraction tasks from left to right.
According to given information:Let the number of candies in the box be x
Total candies with Josh=5x+15
Total candies with Diego=6x+3
Since, they have same number of candies,
Hence,
5x+15=6x+3
6x-5x=15-3
x=12
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What is the slope of the line that passes through the points (-6, -6) and
(-9, -5)? Write your answer in simplest form.
So basically what I do is find the formula for slope.
M= y2-y1/x2-x1
So I got
-5-(-6)/-9-(-6) = 1/3
answer = 1/3
:)