Answer:
1000
Step-by-step explanation:
53*1000-53000 so it is correct answer
Hello!
\(\underline{\Large \textbf{Formula:}}\\\\\sf ~a\div~b=c\\\\b = \dfrac{a}{c} \\\\\\\underline{\Large \textbf{Application:}}\\\\ 53000~ \div~x~=~53\\\\x = \dfrac{5300}{53} \\\\x = 100\\\\\\\underline{\Large \textbf{Explanation:}}\\\\\\sf ~a\div~b=c\\\\\sf ~a\div~b~\times~b=c~\times~b\\\\a = c~\times~b\\\\a ~\div~c= c~\times~b~\div~c\\\\b = \dfrac{a}{c}\\\\\\\underline{\Large \textbf{Answer:}}\\\\\boxed{\Large \textbf{the number is 100}}\)
1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
person's palm. Don's palm is 5 centimeters in length and he is 120 centimeters tall. Mateo's
palm is 7.5 centimeters in length. Assuming that da Vinci's theory is correct, how tall, in
centimeters, is Mateo?
Answer:
120 : 5 = 24 suy ra 24 x 7,5 = 180
Step-by-step explanation:
Hey I need help with my math pretest and I’m confused with the questions they are giving me
ANSWER
\(2.25x+12.00\le30.00\)EXPLANATION
Let the number of slices of pizza that Jess can buy be x.
She has to buy a ticket which costs $12 and x slices of pizza for $2.25 each. All these must cost less than or equal to $30 which Jess has.
Therefore, the inequality that represents how many slices of pizza Jess can buy is:
\(2.25x+12.00\le30.00\)What are the solutions to the following equation?
Answer:
What equation?
Step-by-step explanation:
Sally used 8.74 inches of a ribbon to make a bow for her hairband and another 12.32 inches to make a bow for her hat. Determine the total length of ribbon used to make the bows
Answer:
21.06
Hope this helps
Step-by-step explanation:
Help with this math question ASAP
Answer:
-2
Step-by-step explanation
Split the limit into lim x to a of 3f(x) + lim x to a of g^2(x)
3 x -2 = -6
and g^2(x) = g(x)^2 so 2^2 is 4
now -6 + 4 = -2
Solve the equation d/3=11
Final Answer: \(d = 33\)
Steps/Reasons/Explanation:
Question: Solve the equation \(\frac{d}{3} = 11\).
Step 1: Multiply both sides by \(3\).
\(d = 11\) × \(3\)
Step 2: Simplify \(11\) × \(3\) to \(33\).
\(d = 33\)
~I hope I helped you :)~
Imagine math Item 994395
Start with the equation 0.2=0 to explain why -4-2 must equal -8.
Drag descriptions and equations to the table to complete the explanation.
In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.
1. Begin with the equation 0.2 = 0.
2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.
This simplifies to 0 = -0.2.
3. Observe that the right side of the equation, -0.2, is a negative number.
4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.
5. Rewrite the equation as 0 = +0.2.
6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.
7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.
8. Simplify the equation to 0 = +0.2.
9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.
10. As a result, the original equation 0.2 = 0 is invalid.
11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.
12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.
To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.
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Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
Given a normal distribution with a mean of 125 and a standard deviation of 14, what percentage of values is within the interval 111 to 139?
A. 32%
B. 50%
C. 68%
D. 95%
E. 99.7%
Answer:68%
Step-by-step explanation:
just took this test
The percentage of values is within the interval 111 to 139 will be "68%".
ProbabilityAccording to the question,
Mean = 125
Standard deviation = 14
Let,
The random variable be "X".
Now, the probability:
→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)
= P(-14 < X - 125 < 14)
= P(-\(\frac{14}{14}\) < \(\frac{(X-125)}{14}\) < \(\frac{14}{14}\))
= P(-1 < Z < 1)
When, Distribution function "\(\phi\)" now,
= \(\phi\)(1) - \(\phi\)(-1)
= \(\phi\)(1) - 1 + \(\phi\)(1)
= 2 × \(\phi\)(1) - 1
= 2 × 0.8413 -1
= 1.6826 - 1
= 0.6826 or,
= 68%
Thus the above answer i.e., "option C" is correct.
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Points: 0 of 1
K
In order to accumulate enough money for a down payment on a house, a couple deposits $385 per month into an account paying 6% compounded monthly. If payments
are made at the end of each period, how much money will be in the account in 4 years?
Type the amount in the account: $
(Round to the nearest dollar.)
If the couple deposits $385 at the end of each month into an account paying 6% compounded monthly, in 4 years, the future value in the account will be $20,828.
What is the future value?The future value is the series of periodic payments or deposits compounded at an interest rate into the future.
Compounding involves charging interest on accumulated interest and the principal periodically.
The future value can be computed using an online finance calculator as follows:
N (# of periods) = 48 months (4 years x 12)
I/Y (Interest per year) = 6%
PV (Present Value) = 0
PMT (Periodic Payment) = 385
Results:
Future Value (FV) = $20,827.67
The sum of all periodic payments = $18,480 ($385 x 48)
Total Interest = $2,347.67
Thus, after 4 years of monthly deposit of $385 at 6% compounded monthly, the amount in the couple's account will grow to $20,828.
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Find the perimeter of the rectangle. The drawing is not to scale.
Answer: 190
Step-by-step explanation:
first you add 29 + 29 and you get 58. Next, you add 66 + 66 which is 132 then you add the 2 sums together and get 190. :)
1. Are the following events mutually exclusive?
Event A: Randomly selecting a male student at Riverdale High School.
Event B: Randomly selecting a member of the football team at Riverdale High School.
a. No, these are not mutually exclusive events
b. Yes, these are mutually exclusive events.
2. Use the Multiplication Rule to find the probability: The probability of a kidney transplant surgery is successful is 0.775. Find the probability of at least one surgery, out of 3, will be successful.
a. 0.997
b. 0.465
c. 0.535
d. 0.989
Answer:
Step-by-step explanation:
a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.
Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:
P(at least one successful surgery) = 1 - P(no successful surgeries)
To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:
P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625
Therefore, the probability of at least one successful surgery out of three surgeries is:
P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375
So, the answer is d. 0.989 (rounded to three decimal places).
In an orchard 2/5 of the trees are banana trees, 1/4 of the trees are orange trees and the rest are apple trees. If there are 220 trees in all, find the number of each kind
Answer: banana- 88
Orange-55
Apple-143
Step-by-step explanation:
220 divided by 5, times 2,
that’s the banana trees
220 divided by 4, that’s the oranges
Add the answers together
Take the answer away from 220 that’s the apples
help me pls
Angle Relationships
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
Define angle.When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.
Here,
You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.
Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."
For instance, two lines or line segments that cross each other create two pairs of vertical angles.
When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
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Luna is selling balloon animals at the park. She began with 35 balloons, and she has sold
2
5
of them so far. If Luna charges $1.75 for each balloon animal, how much money has she made so far?
Answer:
$12.25
i hope this helps
Step-by-step explanation:
5+2=7
1.75×7=12.25
Answer:24.50
Step-by-step explanation:
If m 3=74, find each measure.
Answer:
Ok, So....
Step-by-step explanation:
Since m3=74 that must mean that m4 and m1 are 74 because they are vertical angles. and since m2 is a vertical angle of m1 it is also 74. Then you have m8 m6 m7 m5 which are suplementary to them meaning they sum to 180 and since m3+m8=180, 74+m8=180. m8=180-74.
m8=m7=m6=m5= 106
I hope this helped!
The point where two lines meet is known as an angle.
From the diagram shown, we can see that l is parallel to m
Given
m<3 = 74Based on geometry:
m<3 = m<4 = 74 degrees (vertically opposite)
m<3 = m<1 = 74 degrees (corresponding angles)
m<1 = m<2 = 74degrees (vertically opposite angles)
m<1 and <6 are supplementary, that is:
m<1 + m<6 = 180
74 + m<6 = 180
m<6 = 180 - 74
m<6 = 106degrees
Similarly:
m<2 and <5 are supplementary, that is:
m<2 + m<5 = 180
74 + m<5 = 180
m<5 = 180 - 74
m<5 = 106degrees
Also, m<4 and <7 are supplementary, that is:
m<4 + m<7 = 180
74 + m<7 = 180
m<7 = 180 - 74
m<7 = 106degrees
m<7 = m<8 = 108 degrees (vertically opposite angles)
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The Table below shows the number of hours ten students spent studying for a test and their svores
Answer:
Step-by-step explanation:
By using linear regression calculator,
Linear regression equation representing the data set will be,
y = 7.79x + 34.27
Correlation coefficient of the line will be,
R = 0.98
Since, correlation coefficient of the line is (+0.98), relation between the two variables is a strong linear relationship.
That means hours spent studying has the strong relation with test scores obtained.
Drink Amount
Juice 250 mL
Milk
400mL
Water 1,500 mL
What is the total amount of liquid, in liters, that Whitney drinks each day?
Step-by-step explanation:
the expression is worth 5 over 124
PLEASE HELP ME WILL GIVE BRAINLIST
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Sunny Town is symmetric
Mean, because Sunny Town is skewed
Median, because Beach Town is skewed
Mean, because Beach Town is symmetric
Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist, enter DNE.) g(x) = x3 − 15x
Answer:
We have the function g(x) = x^3 -15*x
First, to find extrema, we can find the zeros of the first derivative.
g'(x) = 3*x^2 -15
g'(x) = 0 = 3*x^2 - 15
x^2 = 15/3 = 5
x = √5
x = -√5
Now, watching at the second derivative we have:
g''(x) = 6*x
so when we have
g''(√5) = 6*√5 > 0 then x = √5 is a local minimum
g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.
What is the value of the expression when a = 2 and b = 3 ? 4a + b - 2 Question 1 options: 7 9 12
Answer:
9
Step-by-step explanation:
4 * 2 + 3 - 2 =
= 8 + 1 =
= 9
15 2/3+ 4 1/5+ 2/15
please answer
Answer:
heres your answer it requiers me to write atleast 20 words so im just writing random stuff btw what grade are u in
please help thank you..
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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need help asap will give you 5 stars! need a quick worker!
Explanation
The question wants us to get the length of the missing side
To do so, we will use the trigonometric ratio:
\(undefined\)how many times does 12 go into 78
Answer: 6.5? I think this is the answer but not sure.
Answer:
5
Step-by-step explanation:
Please help me I really need this
Answer:
6
Step-by-step explanation:
look for the patterns on each side. 2 4 6 8, 3 6 9 12 15
Answer:
6
Step-by-step explanation:
The first column is increasing by 3 each time.
3 + 3 = 6
Aiden is going to invest in an account paying an interest rate of 2.2% compounded daily. How much would Aiden need to invest, to the nearest dollar, for the value of the account to reach $1,060 in 10 years?
The amount that needs to be invested today for Aiden to have $1060 in 10 years is $851.
How much should be invested today?We are to determine the present value of $1,060 in order to determine the amount that Aiden should invest today. In order to determine the present value, discount $1060 by the interest rate.
The formula that can be used to determine the amount that Aiden needs to invest is:
P = FV / (1 + r)^nm
Where:
P = amount to be invested today FV = future value r = interest rate = 2.2 / 365 = 0.00603%n = number of years m = number of compounding = 2.2%P = 1060 / (1.0000603)^(10 x 365) = $851
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what is the slope (5,7) and (2,-2)
Answer:
slope = 3
Step-by-step explanation:
to find the slope you do (y2-y1)/(x2-x1)=m
so we can plug the points into this formula
(5,7) (2,-2)
x1 y1 x2 y2
-2-7/2-5=m
-9/-3=m
Simplifies to
3=m
Choose the correct answer below
The correct statement is;
False, because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be x = 2π/3 + 2nx and x = 4π/3 + 2nx.
Option D
How to determine the statementFrom the information given, we have that;
All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx
There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx
Such that n is an integer.
This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.
The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.
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