Answer:
1.0988889e+13
Step-by-step explanation:
and i oop
Write the number.
10 ones
4 tens
3 hundreds
Answer:
350
Step-by-step explanation:
It is 350 because 10 ones is 10, 4 tens is 40, and 3 hundreds is 300 if you add them up you get 350.
The required number is 350 which represents 10 ones, 4 tens
and 3 hundred.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We have been given information as
10 ones
4 tens
3 hundred
As per the given question,
Translate the information into an algebraic expression:
It's 350 since 10 ones are 10, 4 tens are 40, and 3 hundred is 300 when added together.
⇒ 1 × 10 + 4 × 10 + 3 × 100
⇒ 10 + 40 + 300
⇒ 350
Therefore, the required number is 350 which represents 10 ones, 4 tens
and 3 hundred.
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Find the amount accumulated after
investing a principal P for t years at an
interest rate compounded k times per year.
k = 365
P = $3,350 r = 6.2% t = 8
Hint: A = P (1+)kt
A = $[?]
Hence, after investing $3,350 for 8 years at a 6.2% interest rate, compounded 365 times a year, the total amount is roughly $4,865.25.
what is amount ?In mathematics, the term "amount" typically refers to a number or a thing's numerical value. It can stand in for anything that can be counted or measured, such as the amount of money in a checking account, the time needed to finish a task, or the concentration of a specific item in a solution. Several branches of mathematics, such as arithmetic, algebra, and calculus, all depend on the idea of amount.
given
With a principal of P and an interest rate of r compounded k times annually, the amount amassed after t years is calculated as follows:
\(A = P(1 + r/k)^(kt) (kt)\)
Putting in the specified values
P = $3,350
r = 6.2%
t = 8
k = 365
\(A = $3,350(1 + 0.062/365)^(365*8)\)
A ≈ $4,865.25 (rounded to the nearest cent) (rounded to the nearest cent)
Hence, after investing $3,350 for 8 years at a 6.2% interest rate, compounded 365 times a year, the total amount is roughly $4,865.25.
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Who can answer this? .. if u dk it don’t comment thanks ♡︎ .
Which of these is the correct root of the word judicial?
O A. jud = mankind
B. jud = book
C. jud = prophecy
O D. jud = law
SUBN
My last math question! I need help. I'm not good at math so I'm relying on who ever do this to do so correctly!!!!
Answer:
c
Step-by-step explanation:
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 \(\log_37=1.77\).
To find:
The value of \(\log_363\).
Solution:
Using properties of logarithm, we get
\(\log_363=\log_3(9\times 7)\)
\(\log_363=\log_3(3^2\times 7)\)
\(\log_363=\log_3(3^2)+\log_3(7)\) \([\because \log ab=\log a+\log b]\)
\(\log_363=2+ \log_3(7)\) \([\because \log_aa^x=x]\)
\(\log_363=2+1.77\) \([\because \log_37=1.77]\)
\(\log_363=3.77\)
Therefore, the value of \(\log_363\) is 3.77.
Applying logarithm properties, it is found that:
\(\log_3{63} = 3.77\)
We want to find \(\log_3{63}\), considering that \(63 = 7 \times 9 = 7 \times 3^2\), we have that:
\(\log_3{63} = \log_3{(7 \times 3^2)}\)
The first property applied is:
\(\log{a \times b} = \log{a} + \log{b}\)
Hence:
\(\log_3{63} = \log_3{(7 \times 3^2)} = \log_3{7} + \log_3{3^2}\)
The next property is:
\(\log_a{a^b} = b\)
Hence:
\(\log_3{7} + \log_3{3^2} = 1.77 + 2 = 3.77\)
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solve the following 3+X=7
Answer:
x = 4
Step-by-step explanation:
3 + x = 7 ( isolate x by subtracting 3 from both sides )
x = 7 - 3 = 4
Answer:
x=4
Step-by-step explanation:
3+x=7
Subtract 3 from both sides as Subtraction is the opposite of Addition.
So 7-3 = 4
X=4
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The distance to the nearest gas station is 245- kilometers. What is this distance written as a decimal? Your answer needs to be as 2.and then the decimal.
The distance is
kilometers in decimal form. Write out to 4 spaces after the decimal point, if possible, and add the three dots if it repeats.
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
the range is -5>-9
the domain is 44
Step-by-step explanation:
extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
What is extrapolation?
A statistical technique called extrapolation aims to understand the unknown data from the known data. It uses historical data to attempt to predict future data. For instance, using the current population size and growth rate to project the size of a population in a few years.
Predicting hypothetical values outside of a specific data set is the goal of extrapolation.
Contrary to interpolation, which typically focuses on estimating past values, extrapolation is used to predict unknown future values due to its predictive nature.
Hence, extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
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I go to the store and buy instant noodles for 7. 75 pesos, can of sardines for 16. 00 pesos and 2 sachets of coffee for 12. 25 pesos. How much money do I need to pay
Answer:
To calculate the total amount of money you need to pay, you simply need to add up the prices of the instant noodles, can of sardines, and 2 sachets of coffee.
The price of the instant noodles is 7.75 pesos.
The price of the can of sardines is 16.00 pesos.
The price of 2 sachets of coffee is 12.25 pesos.
To find the total amount, you can add these three prices together:
7.75 + 16.00 + 12.25 = 36.00 pesos
So, you need to pay 36.00 pesos in total.
Find the domain of the following function. x-6 y+2 f(x,y) = sin Select the correct choice below and fill in any answer boxes within your choice. O A. {(x,y): x# (Use a comma to separate answers as needed.) B. {(x,y): x and y (Use a comma to separate answers as needed.) OC. {(x,y): y} (Use a comma to separate answers as needed.) OD. R²
\(The given function is: $f(x,y)=\sin(x-6y+2)$.\) As the sine function can take any real number as input and give an output between -1 and 1, the domain of \($f(x,y)$ is $\boxed{\textbf{(D)}\ \mathbb{R}^2}$.\)
Therefore, option D is the correct choice.
To find the domain of the function
f(x,y)=sin(x−6y+2), we need to determine the values of
y for which the function is defined.
Since
sin
sin is a trigonometric function, it is defined for all real numbers.
Therefore, there are no restrictions on the domain of the function in terms of
x. The variable
x can take any real value.
However, the variable
y, there are no restrictions mentioned in the function. Therefore,
y can also take any real value.
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The domain of the function f(x, y) = sin(x − 6, y + 2) is {(x, y) : x, y ∈ R}. Hence the correct option is OD. R².What is the domain.
A domain is the set of all possible values that the input of a function can be, that is, it is the set of all possible x values. The domain of a function determines the values that can be plugged into a function to get an output.The interval (x, y): x, y R is the domain of the function f(x, y) = sin(x 6, y + 2) OD is therefore the right answer. R2.What does domain meanA domain is the collection of all values that may be used as an input to a function, or the collection of all conceivable x values. The values that can be entered into a function to produce an output are determined by the function's domain.
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Which of the equations below could be the equation of this parabola?
(0,0)
Vertex
O A. y = 2x2
B. x = -2y2
O c. x = 2y2
O D. y= -2
Answer:
Y=2x^2
Step-by-step explanation:
The following equations represent a parabola with vertex (0,0): y=2x², x=-2y² and x=2y².
Quadratic functionThe quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
A parabola also can be represented by a quadratic equation. The vertex of an up-down facing parabola of the form ax²+bx+c is \(x_v=\frac{-b}{2a}\) . Knowing the x-coordinate of vertex, you can find the y-coordinate of vertex.
The another form for describing a parabola is \(4p\left(x-h\right)=\left(y-k\right)^2\), where h and k are the vertex coordinates.
You should analyse each one of the options, considering the equations that can be represented a parabola.
Letter A - y=2x²
The coefficients of the quadratic equation are:
a=2, b=0, c=0
Then,
\(x_v=\frac{-b}{2a}\\ \\ x_v=\frac{-0}{2*2}=0\).
If x-coordinate of vertex is equal to 0, from y=2x²you can:
\(y_v=2x^2\\ \\ y_v=2*0^2=0\)
Therefore, the given equation ( y=2x²) represents a parabola with vertex (0,0).
Letter B - x=-2y²
From equation \(4p\left(x-h\right)=\left(y-k\right)^2\), you can rewrite the given equation parabola for vertex (0,0) in:
\(4p(x-0)=(y-0)^2\\ \\ 4*\frac{-1}{8} x=y^2\\ \\ \frac{-1}{2} x=y^2\\ \\ x=-2y^2\)
Therefore, the given equation ( x=-2y²) represents a parabola with vertex (0,0).
Letter C - x=2y²
From equation \(4p\left(x-h\right)=\left(y-k\right)^2\), you can rewrite the given equation parabola for vertex (0,0) in:
\(4p(x-0)=(y-0)^2\\ \\ 4*\frac{1}{8} x=y^2\\ \\ \frac{1}{2} x=y^2\\ \\ x=2y^2\)
Therefore, the given equation ( x=2y²) represents a parabola with vertex (0,0).
Letter D - y=-2
The degree of equation is not equal 2. Therefore, it does not represent a parabola.
Only the equations of letter A, B and C represent a parabola with vertex (0,0). See the attached image.
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rationalise the denominator
\( 1\div 7 + 3 \sqrt{2} \)
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.
To rationalize the denominator 1/7 + 3√2,
A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.
Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.
Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).
Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).
Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!
The final answer is (1 + 21√2)/(21√2).
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.
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Select all expressions that are equivalent to 2 · 2 · 2 · 2 · 2 · 2
A. 23. 23
B. 22. 24
C. 25
D. 4(22)
E. (22)
Answer:
its 64
Step-by-step explanation:
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
A small telephone company charges a $6.00 flat monthly fee, independent of the number of calls a customer makes. The telephone company does charge for the amount of time spent on the phone at the rate of 2.40 per hour. Fractional parts of an hour are billed accordingly. For example, one half hour costs $1.20 fifteen minutes cost $0.60 one minute costs $0.04 and so on Write and graph a function c(t) to model the monthly telephone cost as a function of the time t that the car is parked in the garage
explain and put the answer and
Question 2.A local parking garage charges $6.00 for up to and including 1 hour of parking. Each additional hour, or any part thereof, cost $2.40. Write and graph a function c(t) to model the cost of parking a car as a function of the time t that the car is parked in a garage
Solve the equation 1.25x − 0.35x = 585 for x.
The value of x from the given equation is 650.
The given equation is 1.25x-0.35x=585.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 1.25x-0.35x=585
⇒ 0.9x=585
⇒ x=585/0.9
⇒ x=650
Hence, the value of x from the given equation is 650.
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a. If angle \( S U T \) is \( 39^{\circ} \), what does that tell us about angle TUV? What arc measure describes arc \( V T S \) ? How can we make any assertions about these angle and arc measures? b.
a. If angle \( S U T \) is \( 39^{\circ} \), then the angle TUV is also \( 39^{\circ} \) because they are corresponding angles. Corresponding angles are pairs of angles that are in similar positions in relation to two parallel lines and a transversal, such that the angles have the same measure. Angle TUV is corresponding to angle SUT in this case. The arc measure that describes arc \( V T S \) is \( 141^{\circ} \). We can make assertions about these angle and arc measures by applying geometric principles such as the corresponding angles theorem and the arc measure formula. These principles allow us to establish relationships between angles and arcs based on their positions and measures.
b. Since we know that angle SUT is \( 39^{\circ} \) and angle TUV is corresponding to it, we can conclude that angle TUV is also \( 39^{\circ} \). This is an application of the corresponding angles theorem. Furthermore, we know that the sum of the arc measures of a circle is \( 360^{\circ} \), and that arc VTS is a minor arc that subtends the central angle TVS. Therefore, we can find the arc measure of arc VTS by applying the arc measure formula:
$$\text{arc measure} = \frac{\text{central angle}}{360^{\circ}} \times \text{circumference}$$
The central angle TVS is the same as angle TUV, which we know is \( 39^{\circ} \). The circumference of the circle is not given, so we cannot calculate the arc measure exactly. However, we know that the arc measure must be less than half the circumference, which is \( 180^{\circ} \). Therefore, we can conclude that the arc measure of arc VTS is less than \( 180^{\circ} \), but we cannot say exactly what it is.
In conclusion, by applying geometric principles such as the corresponding angles theorem and the arc measure formula, we can make assertions about the angle and arc measures in the given problem. We know that angle TUV is \( 39^{\circ} \) because it is corresponding to angle SUT, and we know that arc VTS has an arc measure that is less than \( 180^{\circ} \) based on the arc measure formula.
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Given directed line segment PR below, find the coordinates of Q on PR
such that the ratio of PQ to QR is 2:1.
Answer:
\((\frac{4}{3},-3)\)
Step-by-step explanation:
The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at (\(x_1,y_1\)) and B(\(x_2,y_2\)) is given by the formula:
\(x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1\)
From the graph, the location of the point is P(2, 5), R(1, -7). Let point Q be (x, y) which divides PR in ratio 2:1. Coordinates of point Q is at:
\(x=\frac{a}{a+b}(x_2-x_1)+x_1=\frac{2}{2+1}(1-2)+2=\frac{2}{3}(-1)+2=\frac{4}{3} \\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1=\frac{2}{2+1}(-7-5)+5= \frac{2}{3}(-12)+5=-3\)
Point Q is at \((\frac{4}{3},-3)\)
Fadli, whose salary was $3450, received an increment of 12%. He was also given a bonus of 6% of his new salary. Find the total amount of money he received.
To find the total amount of money Fadli received after the increment and bonus, we can use the following steps:
Calculate Fadli's new salary after the 12% increment:
New Salary = Old Salary + (Increment Percentage * Old Salary)
New Salary = $3,450 + (0.12 * $3,450)
New Salary = $3,450 + $414
New Salary = $3,864
Calculate the bonus amount based on Fadli's new salary:
Bonus Amount = Bonus Percentage * New Salary
Bonus Amount = 0.06 * $3,864
Bonus Amount = $232.32
Calculate the total amount of money Fadli received:
Total Amount = New Salary + Bonus Amount
Total Amount = $3,864 + $232.32
Total Amount = $4,096.32
Therefore, Fadli received a total amount of $4,096.32 after the increment and bonus.
Answer:
The total amount of money Fadli received was $4095.84
Step-by-step explanation:
Old Salary = $3450,
Increment = 12%
Now, the new salary then becomes,
New salary = Old salary + (increment)(Old salary)
New salary = 3450 + (0.12)(3450)
New salary = 3450 + 414
New salary = $3864
Now the bonus was 6% of his new salary, so,
Bonus = (6%)(New salary)
Bonus = (0.06)(3864)
Bonus = $231.84
Hence the total amount of money he received was,
Total = New Salary + Bonus
Total = 3864 + 231.84
Total = $4095.84
You have an ant farm with 23 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one year, how many ants will there be in the ant farm?
The table shows the nonlinear function and after one year, there will be 23,552 ants in the ant farm.
The table shows the population growth of the ants over time, where the population doubles every 3 months. This means that the rate of growth is not constant, but rather increases over time. Therefore, the table represents a nonlinear function.
To find the population after one year (12 months), we can use the table to find the population after 9 months and then double it three times, since the population doubles every 3 months. According to the table, the population after 9 months is 368 ants. Doubling this population once gives 736 ants after 12 months. Doubling it twice gives 1,472 ants after 15 months, and doubling it a third time gives 2,944 ants after 18 months. Finally, doubling it a fourth time gives 5,888 ants after 21 months. Since the population doubles every 3 months, there will be two more doublings in the final 12 months. Doubling 5,888 ants twice gives:
5,888 x 2 x 2 = 23,552
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The product of this number and 10 is equal to the square of this number
Answer:
___ x 10 = ____^2
Step-by-step explanation:
Martin runs 2km in 2 minutes
Calculate in average speed
Give your answer in m/s
You must show your working out
Answer: 16.67 m/s
Step-by-step explanation: Let us convert the units first. 2 mins is 120 seconds and 2km is 2000 meters. 2000/120 is 16.67 (the 6 repeats forever but we just rounded it). So, the answer is 16.67 m/s.
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Answer:okay I don’t know what is this but what do you need help with exactly?
Step-by-step explanation:
What is 3x+3=24? please help
Answer:
X would equal 7
Step-by-step explanation:
Subtract 3 from 24 and it would be 21.
Then divide by three on both sides and you get X=7.
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What is the number of terms in this expression?
+4.6
Enter your answer in the box.
Answer:
joe mama
Step-by-step explanation:
What is the missing number in the pattern below?1, 4, 2, ______, 3
Admits bank charges $5.75 fee every month that his account balance is below a certain amounts. Amit writes the equations (-5.75)x7=40.25 to represent how much his account balance changes after 7 months of fee
Please help me with my homework!!!
Answer:
C
Step-by-step explanation:
Plug the values into the function
What are the coordinates of the midpoint of a line segment whose endpoints are (2, 6) and (- 4, 8) ?
A (- 2, 14)
B.(2, 14)
C.(- 2, 7)
D.(- 1, 7)
Answer: c
Step-by-step explanation:
Answer:
midpoint of a line segment is ( -1,7)
Step-by-step explanation:
midpoint of a line segment is ((x1+X2) /2, (y1+y2)/2)
(2, 6) and (- 4, 8)
(x1,y1) (X2,y2)
= ( 2-4/2 , 6+8/2)
=( -2/2, 14/2)
=( -1, 7)