The height of 100 Canadian dimes is 1220 millimeter.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have 1000 Canadian dimes.
Assume that the height of 100 Canadian dimes is [x] mm. Then, we can write -
[x] = 1000 x 1.22
[x] = 1220 mm
Therefore, the height of 100 Canadian dimes is 1220 millimeter.
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A game of chance is played using a six-sided die. If a 1,2 or 3 is rolled the player wins $0 if a 4 or 5 is rolled the player wins $7. If a 6 is rolled the player wins $10. If each play of the game costs 5$ what is the expected pay off?
Answer:
-2.50
Step-by-step explanation:
Using the formula for the expected value, it is found that the expected pay off is of -$1.
The expected value is given by the sum of each outcome multiplied by it's respective probability.In this problem, the outcomes and probabilities are, considering the cost of the game of $5 and that there are 6 sides:
[tex]\frac{3}{6}[/tex] probability of losing $5.[tex]\frac{2}{6}[/tex] probability of winning $2.[tex]\frac{1}{6}[/tex] probability of winning $5.Hence:
[tex]E(X) = \frac{3}{6}(-5) + \frac{2}{6}(2) + \frac{1}{6}(5) = \frac{3(-5) + 2(2) + 1(5)}{6} = -\frac{6}{6} = -1[/tex]
The expected pay off is of -$1.
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Can someone help me with this
Answer:
For the first one it is 6 and the second is 53 degrees
Step-by-step explanation:
Just look at what the given values are and go from there
6. When rounded to the nearest hundredth, log, 7 =1.77. Which of the following represents the value of
log, 63 to the nearest hundredth? Hint: write 63 as a product involving 7.
Note: Consider the base of all is 3 instead of comma.
Given:
Consider the given value is [tex]\log_37=1.77[/tex].
To find:
The value of [tex]\log_363[/tex].
Solution:
Using properties of logarithm, we get
[tex]\log_363=\log_3(9\times 7)[/tex]
[tex]\log_363=\log_3(3^2\times 7)[/tex]
[tex]\log_363=\log_3(3^2)+\log_3(7)[/tex] [tex][\because \log ab=\log a+\log b][/tex]
[tex]\log_363=2+ \log_3(7)[/tex] [tex][\because \log_aa^x=x][/tex]
[tex]\log_363=2+1.77[/tex] [tex][\because \log_37=1.77][/tex]
[tex]\log_363=3.77[/tex]
Therefore, the value of [tex]\log_363[/tex] is 3.77.
Applying logarithm properties, it is found that:
[tex]\log_3{63} = 3.77[/tex]
We want to find [tex]\log_3{63}[/tex], considering that [tex]63 = 7 \times 9 = 7 \times 3^2[/tex], we have that:
[tex]\log_3{63} = \log_3{(7 \times 3^2)}[/tex]
The first property applied is:
[tex]\log{a \times b} = \log{a} + \log{b}[/tex]
Hence:
[tex]\log_3{63} = \log_3{(7 \times 3^2)} = \log_3{7} + \log_3{3^2}[/tex]
The next property is:
[tex]\log_a{a^b} = b[/tex]
Hence:
[tex]\log_3{7} + \log_3{3^2} = 1.77 + 2 = 3.77[/tex]
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Joanne hit a ball straight up into the air. The height of the ball in meters, is given by the function h(t)= -5(t-3)^2+45 t seconds after the ball is hit. What is the maximum height the ball will reach
9514 1404 393
Answer:
45 meters
Step-by-step explanation:
The equation is given in vertex form:
h(t) = a(t -b)^2 +c
where (b, c) is the vertex (maximum).
The values of the parameters are ...
a = -5, b = 3, c = 45
Then the maximum height is (time, height) = (3, 45).
The maximum height of the ball is 45 meters.
Carolyn Was asked to solve the following system of equations, her work is shown.
Answer:(11,13)
Step-by-step explanation:
3(11)-2(13)=13= 11+2
If you plug these numbers in, you get the correct answers .
round 6.24159 to the nearest hundredths
Answer:
6.24
you look at the number behind the hundredth place which is 1
I NEED HELP PLEASE: If x and y are proportional, fill in the blank with a number in simplest form.
1 - 0.27
6
can you subtract this
Answer:
yes the answer would be 0.724
Two water tanks are being filled. The water in Tank A is 3 inches deep, and the depth of the water increases 4
inches every hour. The water in Tank B is 10 inches deep, and the depth is increasing by 2 inches every hour.
Write an inequality to determine when the water in Tank A will be deeper than the water in Tank B.
I need an inequality written for what is written above please!!!
Answer:
i think it is this:
tank a: 6 hours?
tank b: 7 hours?
Step-by-step explanation:
sorry if im wrong if you can please give me brainliest<3 have a good day
simplify
4m+2mn+m^2+m+3m^2
Answer:
4m^2+ 5m +2mn
Step-by-step explanation:
The simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.
The expression given is 4m + 2mn + m² + m + 3m².
We have to simplify the above expression.
What are the variables ?
A variable is a term which represents an unknown number or unknown value or unknown quantity.
As per the question ;
The expression given is 4m + 2mn + m² + m + 3m²
Let's simplify this by adding similar variables ;
4m , m are same variables
i.e., 4m + m = 5m
Similarly ,
m² and 3m² are same variables
i.e., m² + 3m² = 4m²
So ,
The value after simplification will be ;
4m + 2mn + m² + m + 3m²
= 4m²+ 5m + 2mn
Thus , simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.
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. One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.
Answer:
c=5b-25
Step-by-step explanation:
The garden itself is 5 yards by 8 yards. The total area need to build this landscape
design is 60.9525 square yards. What is the width of the walkway?
O a) 0.725 yards
b) 2.9 yards
C) 1.45 yards
d) 4.58 yards
Answer: 1.45
Step-by-step explanation:
help plz this type of stuff is confusing
Answer: Corresponding Angles
Step-by-step explanation:
trust me
PLEASE ANSWER THESE 2 QUESTIONS!!!!!! THIS IS A MAJOR GRADE!!!!!!!!!!!!!!!!!
Answer:
I cant see the problems
Step-by-step explanation:
-16 384, 4096 -1024, 256, -64
Answer:
320
Step-by-step explanation:
i hop it work
Last one plsssssssssss help
. Marilyn bought a Christmas ornament for each of her grandchildren. She spent $5.35 for each ornament and paid $4.50 in sales tax. The total bill came to $68.70. How many ornaments did she buy? Let n represent the number of ornaments she purchased.
Answer:
she purchased 7 ornaments
PLEASE HELP ME. due in a few minutes!!
Answer:
slove is 1
Step-by-step explanation:
if you distribute you get g(x)= x+4
the number invisivble in front of x is 1
What are the forms of protectionism in trade?
Answer:
Tariffs
Quotas
Export subsidies
Domestic subsidies
Import licensing
Exchange controls
Financial protectionism
Murky or hidden protectionism
2. Now that you have the height of the cone, how can you solve for the
slant height, s?
Answer:
s^2 = r^2 + h^2.
Step-by-step explanation:
You need to know the radius of the base as well.
Then you use the Pythagoras theorem:
s^2 = r^2 + h^2 where r = radius and h = the height.
Can someone help me please
Question 5
Rocko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality? Express your answer in
decimal form.
Answer:
The COP is 0.5
Step-by-step explanation:
First we must find the slopes.
12.50/25 = 0.5
17.50/35 = 0.5
The COP is 0.5
Use a single digit times a power of 10 to estimate the number 0.00002149
please help :(
Answer:
2.149 × 10-5
Step-by-step explanation:
Insert a rational number between 1/2 and 1/3 by mean method?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
To find a rational number by the mean method.
Add the 2 fractions and divide the result by 2
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]
To add the fractions we require them to have a common denominator.
The LCM of 2 and 3 is 6 ← required common denominator
Multiply numerator/denominator of first fraction by 3
Multiply numerator/denominator of second fraction by 2
= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]
= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )
= [tex]\frac{5}{6}[/tex]
Now divide by 2
[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )
= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{5}{12}[/tex]
This is the fraction midway between the 2 given fractions
Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 3 1 1 3 -1 5 -3
Answer:
y = - x + 2Step-by-step explanation:
Points given:
(-1, 3), (1, 1), (3, -1), (5, -3)Slope-intercept form:
y = mx + bFinding the slope using slope formula and the first two points:
m = (1 - 3)/(1 - (-1)) = -2 / 2 = -1Finding y-intercept using the slope and the first point:
3 = (-1)*(-1) + b3 = 1 + bb = 3 - 1b = 2So the equation is:
y = - x + 2Simplify 3 x + 6 x 2 - 5 x - x 2 .
A 5 x 2 - 2 x
B 6 x 2 + 2 x
C 5 x 2 + 2 x
D 6 x 2 - 2 x
PLEASE HELP !! 10 POINTS AND BRAINLIEST !!!:)
4) On Monday Elaine ran 5 miles and 3 laps around a trail. On Tuesday she ran 6 miles and 2 laps around a trail. She ran the same distance both days. How many miles long is one lap around the trail?
Answer:
c
Step-by-step explanation:
Select the graph of g(x) = |-2х + 6|
can someone tell me if this is right
Answer:
no
Step-by-step explanation:
the graph should be facing up.
Sophia writes at a constant rate of 6
pages per
2 hours.
Write an equation that relates p, the
number of pages Sophia writes, and h.
the time she spends writing them in
hours.
Answer:
p÷3=h
My logic:
if you want the p (pages) to directly relate to h then this eqation represents that what ever p is divided by 3 will give you h.
Hope this helped!