The value of the given expression 105 times 3 is equal to 315.
Calculation of the expression 105 times 3 is equal to :
In Mathematics the word 'times' represents the multiplication.Here 105 times 3 means 105 multiply by 3.1
1 0 5
× 3
3 1 5
Explanation : 3 multiply by to unit digit 5 we 15.Write 5 below 3 and 1 carry forwarded to tens digit.Now multiply 3 by 0 we get 0 add 1 carry forwarded value write next to 5.At last multiply 3 to 1 we get 3 write next to 1.Final result is 315.Therefore, the calculated value of the expression 105 times 3 is equal to 315.
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Encontrar el coeficiente de y en (3 xy+2)4
The required coefficient of y in [tex](3xy + 2)^4[/tex] is 96x.
What is binomial expansion?The binomial expansion is a formula for expanding a binomial expression of the form [tex](a + b)^n\\[/tex], where "a" and "b" are constants and "n" is a positive integer. The expansion gives the coefficients of each term in the expansion.
Here,
We can use the binomial theorem to expand the expression,
[tex](3xy + 2)^4 = C(4,0) (3xy)^4 (2)^0 + C(4,1) (3xy)^3 (2)^1 + C(4,2) (3xy)^2 (2)^2 + C(4,3) (3xy)^1 (2)^3 + C(4,4) (3xy)^0 (2)^4[/tex]
where C(n,k) represents the number of combinations of k objects that can be chosen from a set of n objects.
The coefficient of y in the fourth term is given by the coefficient of ([tex]3xy)^1 (2)^3[/tex]. That is, we need to find the coefficient of y in the term:
[tex]C(4,3) (3xy)^1 (2)^3 = 4 * 3xy * 2^3 = 96xy[/tex]
Therefore, the coefficient of y in [tex](3xy + 2)^4[/tex] is 96x.
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what teh awnser is plssssssssss
Interest earned on the cash balance in the bank is recorded by the bank as an increase in the depositor’s bank account.
What is the impact of interest earned?A savings account is a type of account that can be opened with a bank. Savings account earn interest based on the amount of money in their account at the end of the month.
here. we have.
The interest that is earned depends on the number of withdraws, interest rate paid on deposits and the amount deposited in the account. Deposits are recorded as a liability in the balance sheet of a bank. A liability is an obligation that has to be paid at sometime in the future.
This means that at the end of the month, the value of the money in the depositor's saving account increases by the value of interest paid.
For example, if the interest paid by a bank on deposits in a savings account is 10%. If an account has $1000 in the account, the value of the amount at the end of the month is 1,100 (1000 x 1.1).
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Olivia likes to go to her local car wash because she is a premier member there. Her membership fee costs $40. 00 and that membership allows her to get her car washed for $14. 00 every visit
From the given information provided, the total cost of olivia membership fee and her car wash is $82.
The membership fee is a one-time cost of $40.00. To calculate the cost of three car washes, we can simply multiply the cost per car wash by the number of car washes:
3 car washes x $14.00 per car wash = $42.00
So the total cost for Olivia's membership fee and three car washes would be:
$40.00 (membership fee) + $42.00 (cost of three car washes) = $82.00
Question - Olivia likes to go to her local car wash because she is a premier member there. Her membership fee costs $40. 00 and that membership allows her to get her car washed for $14. 00 every visit. What would be the cost of Olivia's membership fee and three car washes?
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how much is 175 cm to inches
Answer:
Step-by-step explanation:
175 cm to inches is 68.8976 or 69 inches
Relative to an origin O, the position vectors of points A, B and C are -5i-11j, 23i-4j and λ(i-3j) respectively. Given that C lies on the line AB, find the value of λ
Answer:
λ = 3
Step-by-step explanation:
You want the value of λ that places point C = λ(i -3j) on the line between A(-5i -11j) and B(23i -4j).
SolutionThe parameterized line between A and B is ...
P = A +t(B -A)
where P is a point on AB. We can set P = C to find the value of t that identifies the point on AB. Comparing that to C, we can determine the value of λ.
λ(i -3j) = -5i -11j +t(23i -4j -(-5i -11j)) = (-5+28t)i +(-11 +7t)j
Equating components gives two equations in the unknowns λ and t:
λ = -5 +28t-3λ = -11 +7tMultiplying the second equation by -4 and adding the first gives ...
-4(-3λ) +λ = -4(-11 +7t) +(-5 +28t)
13λ = 39 . . . . . . . simplify
λ = 3 . . . . . . . . . divide by 13
A circle is centered at the origin, and point (9,−12)
lies on the circumference of the circle. Which two points also lie on the circumference of the circle
The two points that also lie on the circumference of the circle are approximately (-9.2, -12.5) and (11.8, -7.1).
Describe circumference of the circle?The circumference of a circle is the distance around its outer edge, also known as its perimeter. It is a key measurement in geometry, and is defined as the product of the circle's diameter and pi (π), a mathematical constant approximately equal to 3.14.
The formula for the circumference of a circle is:
C = 2πr
where C is the circumference, r is the radius of the circle, and π is the mathematical constant pi.
C = πd
The circumference of a circle is proportional to its radius or diameter, which means that if you double the radius or diameter of a circle, its circumference will also double. This relationship is fundamental to many mathematical and scientific applications, such as calculating the area or volume of a circle or sphere.
The circumference of a circle can be measured using a variety of tools, including rulers, compasses, and string. In practice, it is often measured indirectly by measuring the diameter or radius of the circle and using the formula above to calculate its circumference.
In summary, the circumference of a circle is the distance around its outer edge or perimeter, and is calculated using the formula C = 2πr or C = πd. It is a key measurement in geometry and has many practical applications in mathematics, science, and engineering.
To find two more points on the circumference of the circle, we can use the fact that the distance between the center of the circle and any point on its circumference is equal to the radius of the circle.
The radius of the circle can be found using the distance formula, which gives:
radius = sqrt((9-0)^2 + (-12-0)^2) = sqrt(225) = 15
So the circle has a radius of 15.
Now, to find two more points on the circumference, we can use the fact that any point on the circle can be represented as (r cos θ, r sin θ), where r is the radius of the circle and θ is the angle that the line connecting the point and the origin makes with the positive x-axis.
Since we already know one point on the circle, (9,-12), we can find the angle θ that this point makes with the positive x-axis by using the inverse tangent function:
θ = arctan(-12/9) = -53.13 degrees (or -0.93 radians)
Now we can find two more points on the circle by adding or subtracting multiples of 360 degrees (or 2π radians) to the angle θ and using the formula (r cos θ, r sin θ). For example:
Point (15 cos (-53.13), 15 sin (-53.13)) ≈ (-9.2, -12.5)
Point (15 cos (306.87), 15 sin (306.87)) ≈ (11.8, -7.1)
Therefore, the two points that also lie on the circumference of the circle are approximately (-9.2, -12.5) and (11.8, -7.1).
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Approximately what percent of the values in a distribution lie between the 25th percentile and the 75th percentile? A. 75%. B. 25%. C. 50%.
D. 60%.
Option C. 50%. The interquartile range (IQR) is the difference between the 25th percentile (Q1) and the 75th percentile (Q3) of a distribution, and it contains the middle 50% of the data.
Approximately half of the data values in a distribution lie between Q1 and Q3. This range provides valuable information about the spread of the data and helps identify potential outliers. By knowing the IQR, one can make informed decisions about the data and gain a better understanding of the population it represents. This is useful in understanding the spread of data and identifying outliers. Knowing the IQR can help in making decisions about the data and the underlying population it represents.
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jimmy and amanda are on an archery team . jimmy hits 3 bullseyes in every 20 shots . amanda hits a bull-eye 0n 18 percent of her shots how hit more bull's-eyes more often explain
Answer:
Jimmy hits 3 bullseyes in every 20 shots, which can be written as a fraction: 3/20.
To compare this to Amanda's performance, we need to find out what fraction of Amanda's shots result in a bullseye. We know that Amanda hits a bullseye on 18 percent of her shots, which can be written as a fraction: 18/100 or 9/50.
To determine who hits more bullseyes more often, we can compare the two fractions. We can find a common denominator of 100 to make the comparison easier:
3/20 = 15/100
9/50 = 18/100
Now we can see that Amanda hits a bullseye more often than Jimmy, as 18/100 is a larger fraction than 15/100. In other words, if both Jimmy and Amanda shoot 100 arrows, Amanda is expected to hit more bullseyes than Jimmy.
Answer:
Jimmy
Step-by-step explanation:
To compare who hits more bull's-eyes more often, we need to calculate the probability of hitting a bull's-eye for each person.
Jimmy hits 3 bullseyes in every 20 shots, so the probability of hitting a bull's-eye for Jimmy is:
3/20 = 0.15 or 15%
Amanda hits a bull's-eye on 18 percent of her shots, so the probability of hitting a bull's-eye for Amanda is:
18% = 0.18
Comparing these probabilities, we can see that [Jimmy hits more bull's-eyes more often,] since his probability of hitting a bull's-eye (15%) is greater than Amanda's probability (18%).
It's important to note that this comparison is based solely on the given information about hitting bull's-eyes, and does not necessarily reflect overall performance or skill as an archer. Other factors, such as accuracy, consistency, and technique, may also play a role in determining an archer's success.
How do you find the average value of a function?
The average value of function f(x) over [a,b] = 1/(b-a) × definite integral of f(x) over [a,b]
To find the average value of a function f(x) over an interval [a,b], you need to follow these steps:
Calculate the definite integral of the function f(x) over the interval [a,b]. The definite integral will give you the total area under the curve of the function over the interval.
Find the length of the interval [a,b] by subtracting the lower bound a from the upper bound b. The length of the interval will be (b-a).
Divide the value of the definite integral by the length of the interval to get the average value of the function over the interval [a,b]. That is:
Average value of f(x) over [a,b] = 1/(b-a) × definite integral of f(x) over [a,b]
So, the average value of a function over an interval is simply the total area under the curve of the function over that interval divided by the length of the interval.
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Please " Answer " in the Simplest form
Influencers with more than 50,000 followers earn $200 per 100,000 views in a single video. They also earn a standard video payment of $50.
If v is the number of 100,000 views per video, write rationlan expression fr the total payment an influencer with more than 50,000 subscribers receives per video. How much does an influencer earn if a video they publish has 1 million views?
Answer:
Therefore, the influencer would earn $52 for a video with 1 million views.
Step-by-step explanation:
what is interval notation example ?
Interval notation is a way of representing a range of values on a number line. It is written using brackets and parentheses to indicate whether the endpoints are included or excluded from the interval.
For example, the interval notation for the range of values between 1 and 5 (inclusive) would be [1, 5]. The square brackets indicate that both 1 and 5 are included in the range.
If the endpoints are excluded, we use parentheses. For instance, the interval notation for the range of values between 1 and 5 (excluding 1 and 5) would be (1, 5).
In general, we use square brackets for closed intervals (where the endpoints are included) and parentheses for open intervals (where the endpoints are excluded).
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Find the solution of the system of equations. -2x-3y= −2x−3y= \,\,-28 −28 -2x+2y= −2x+2y= \,\,22 22
The quadratic equation of [tex]x^{2}[/tex]-6x+9=0 is C) (x-2)(x+3).
What is equation?Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.
This equation is an example of a quadratic equation, which is an equation of the form a[tex]x^{2}[/tex]+bx+c=0, where a, b, and c are real numbers, and a is not equal to 0. In this equation, a is equal to 1, b is equal to -6, and c is equal to 9. To solve this equation, we need to use the quadratic formula, which states that the solutions to the equation are x= -b ± [tex]\sqrt[1]{b^{2}-4ac }[/tex] / 2a. Therefore, the solutions to this equation are x= -(-6) ± [tex]\sqrt{(-6)^{2} -(4)(1)(9) }[/tex]) / 2(1), which simplifies to x=3 ± [tex]\sqrt{3}[/tex] /2, or x=3 ± [tex]\sqrt{9}[/tex] /2. This simplifies to x=3 ± [tex]\sqrt{3}[/tex], or x=3 ± 1. Therefore, the solutions to this equation are x=2 and x=4. The factored form of this equation is (x-2)(x+3), which is option C.
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Select the correct answer. Four pairs of shapes are shown where pair 1 has two same L-shaped shapes, pair 2 as T-shaped shape with unequal height, pair 3 has two same triangles and pair 4 has two unequal triangles. Which pairs of polygons are congruent? A. pairs 1, 2, and 3 B. pairs 1, 2, 3, and 4 C. pairs 2 and 3 D. pairs 1 and 3
In reference to the given question, the pairs of polygons that are congruent is pairs 1 and 3. Hence, the correct answer is D, pairs 1 and 3.
What are congruent polygons?Congruent polygons are polygons that have the same size and shape.
Pair 1 has two same L-shaped shapes, which are not congruent to any other pair.
Pair 2 has two T-shaped shapes with unequal height, which are not congruent to any other pair.
Pair 3 has two same triangles, which are congruent to each other.
Pair 4 has two unequal triangles, which are not congruent to each other or to any other pair.
Therefore, the only pairs of polygons that are congruent are pair 3, which has two same triangles, and pair 1, which has two L-shaped shapes that are the same. So the correct answer is D, pairs 1 and 3.
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what is difference between 10 and 12?
Answer:
2 units
Step-by-step explanation:
To find the difference between 10 and 12, we can use this equation:
12 - 10 = 2Or:
10 - 12 = -2Therefore, the difference is 2.
An angle measures 18.8° less than the measure of its complementary angle. What is the measure of each angle?
The complementary angles will be 65.6° and 24.4°.
What exactly are complementary angles?
Supplementary and complementary angles are defined by the sum of two angles. If the total of two angles is 90 degrees, they are considered to be complimentary angles since they produce a right angle when combined. If the total of two angles is 180 degrees, they are considered to be supplementary angles since they produce a linear angle when combined.
Now,
Let x be a angle then its complementary angle will be 90°-x as sum of complementary angles is equal to 90°.
as given
90°-x-x=18.8°
9--2x=18.8
2x=71.2
x=65.6° and 90-x°=24.4°
hence,
The complementary angles will be 65.6° and 24.4°.
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A credit card holder has an outstanding balance on four different credit cards. Which method of paying off the credit card will take the longest period of time?
© Making fixed payments each month
O Paying the minimum balance each month
© Snowballing payments according to the highest interest rate
Snowballing payments according to the lowest balance
The method of paying off the credit card that will take the longest period of time is B. Paying the minimum balance each month.
How would this take the longest time ?Paying the minimum balance each month will take the longest period of time to pay off the credit card. The minimum payment is typically a small percentage of the outstanding balance, which means that it will take a longer time to pay off the entire balance.
Additionally, interest charges will continue to accrue on the remaining balance, which can increase the total amount owed over time. Making fixed payments each month and snowballing payments according to the highest interest rate or the lowest balance can help to pay off the credit card more quickly.
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what is linear interpolation calculator
Linear Interpolation Calculator is a free online tool that shows the interpolated point for specific coordinates, also termed as online calculator.
It allows users to interpolate (interpolation is a mathematical technique for estimating any value between two known points) data points between the sets(two sets) of points or coordinates.
Take the two known points and calculate the value of the point that lies between them. This has been used in as many engineering applications as estimating the value of a point on a graph or table. This calculator helps in estimating the value of a point that lies between two known points on a line.
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Your weight on planets different is affected by gravity 50 £ 55 pounds on Mars the same ways only to 24 pounds on the moon what percent of an object earth weight is it weight on mars and
on the moon
Answer:
Assuming the weight of the object on Earth is 100 pounds, its weight on Mars would be:
(50 / 100) x 100 = 50 pounds
So the weight of the object on Mars is 50% of its weight on Earth.
Similarly, the weight of the object on the moon would be:
(24 / 100) x 100 = 24 pounds
So the weight of the object on the moon is 24% of its weight on Earth.
how to convert 50 mph to kmh?
The speed of 50 mph is equivalent to 80.47 km/h.
Mph is an abbreviation for miles per hour, and it is a unit of measurement commonly used in the United States. On the other hand, km/h stands for kilometers per hour, and it is a unit of measurement commonly used in most other countries.
To convert 50 mph to km/h, we need to use a conversion factor that relates the two units.
The conversion factor we need to use in this case is 1 mile = 1.60934 kilometers. This means that for every mile covered, there are 1.60934 kilometers covered. To convert 50 mph to km/h, we simply need to multiply 50 by the conversion factor, as shown below:
50 mph x 1.60934 km/mi = 80.47 km/h
Therefore, 50 mph is equivalent to 80.47 km/h. This means that if you were driving at 50 mph in the United States, you would be traveling at a speed of 80.47 km/h if you were to convert to km/h in another country.
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Explain how to solve the equation. c/6 equals 9
Answer: c = 54
Step-by-step explanation:
c/6 = 9
c/6*(6) = 9*6
c = 54
Answer: c = 54
Step-by-step explanation:
c/6 = 9
you then multiply c/6 by it's denominator, which in this case 6. What you do on one side, you have to do to the other.
6 · c/6 = 9 · 6
Then you multiply everything, 6 cancels out denominator 6 which leaves C and 9 turns into 54. Meaning c equals 54.
c = 54
To check, you can replace c with 54 in your original equation.
54/6
54÷6 = 9
Find the value of x and each arc measure
The dimensions are as follows
14
x = 21
GK = 167
HJ = 98
HGJ = 159
GKJ = 201
15.
x = 9
AD = 108
BC = 23
DC = 139
DCB = 162
How to find the value of x and other dimensionsThe value of x is solved using the concept of angles in a point and this is 360 degrees
Figure 14
9x - 22 + 61 + 5x - 7 + 34 = 360
collecting like terms
9x + 5x - 22 + 61 - 7 + 34 = 360
solving for x
14x + 66 = 360
14x = 360 - 66
x = 294 / 14
x = 21
GK = 9x - 22 = 9 * 21 - 22 = 167
HJ = 5x - 7 = 5 * 21 - 7 = 98
HGJ = GH + HJ = 61 + 98 = 159
GKJ = GK + KJ = 167 + 34 = 201
15.
12x + 17x - 14 + 2x + 5 + 90 = 360
collecting like terms
12x + 17x + 2x - 14 + 5 + 90 = 360
solving for x
31x + 89 = 360
31x = 360 - 81
x = 279 / 31
x = 9
AD = 12x = 12 * 9 = 108
BC = 2x + 5 = 2 * 9 + 5 = 23
DC = 17x - 14 = 17 * 9 - 14 = 139
DCB = DC + CB = 23 + 139 = 162
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What is even function and odd function?
If f(-x) = f(x) for all x in the domain of the function, then the function is said to be even function in mathematics. if a function meets the criterion that f(-x) = -f(x) for all x in the function's domain, then is said to be odd function .
An even function, then, is symmetric about the y-axis. The graph of an even function would look geometrically identical to its reflection across the y- axis if we were to plot it. The functions f(x) = x2, f(x) = cos(x), and f(x) = |x| are examples of even functions.
An odd function, then, is symmetric about the origin. If we were to draw the graph of an odd function geometrically, if we were to plot the graph of an odd function, it would appear to be identical to its reflection across the origin, after being rotated 180 degrees. Some examples of odd functions include f(x) = x³, f(x) = sin(x), and f(x) = 1/x.
It is also possible for a function to be neither even nor odd. In other words, a function does not need to exhibit either symmetry about the y-axis or the origin.
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q= (2-4t)/(t+3)
MAKE T the SUbject.
/ stands for division.
ty.
The answer is t = (2 - 3Q)/(4+Q).
According to given information:To make t the subject of the given equation:
(2-4t)/(t+3)
We can start by cross-multiplying both sides by (t+3) to eliminate the denominator on the left-hand side:
(2 - 4t) = (t+3) * Q
where Q is an unknown value that is the result of the cross-multiplication.
Next, we can distribute the right-hand side:
2 - 4t = Qt + 3Q
Then, we can rearrange the equation by moving all the terms with t to one side and the constant terms to the other side:
2 - 3Q = t(4+Q)
Finally, we can divide both sides by the coefficient of t to isolate t:
t = (2 - 3Q)/(4+Q)
Therefore, the equation in terms of t is:
t = (2 - 3Q)/(4+Q)
What is equation ?In mathematics, an equation is a statement that two expressions are equal to each other. It consists of two sides: the left-hand side and the right-hand side, which are connected by an equals sign (=). An equation typically contains one or more variables, which are represented by symbols such as x, y, or z, and the goal is often to solve for these variables in order to find their values that make the equation true.
For example, the equation x + 2 = 5 is an algebraic equation that states that the sum of x and 2 is equal to 5. Solving this equation for x gives us x = 3, which means that the value of x that makes the equation true is 3.
Equations are used to model many real-world problems in mathematics, science, engineering, economics, and other fields, and they are an important tool for understanding and solving complex problems.
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what is inches to decimal ?
Inches to decimal is the conversion used in converting inches to decimal feet. So 1 inch = 0.0833 decimal feet.
By multiplying or dividing, a conversion factor aids in changing one set of units to another. It is the formula necessary to convert a measurement from one unit system to another unit system of the same measurement.
The conversion of inches to decimals is important in the conversion of feet. To convert inches to decimal of foot, multiply the given inches value by 0.0833. That is 1 inch = 0.0833 decimal feet. For example, 6 inches is converted as 6×0.0833=0.4998 decimal feet.
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solve the quadratic equation 3x^-75=0
Answer:
Below
Step-by-step explanation:
Since it is a QUADRATIC it should be
3x^2 - 75 = 0 divide through by 3 to get
x^2 - 25 = 0 then
x^2 = 25
x = ±5
How to solve this equation
Answer:
[tex]y = \frac{Pa}{b} - za[/tex]
Step-by-step explanation:
See picture below :)
how to convert 136 kg to lbs?
The value of 136 kilograms to pounds ( using conversion factor ) is equal to ( 299.8283 ) pounds ( round off to four decimals value ) .
Conversion factor used to convert kilograms to pounds is equal to :
One kilograms is equal to 2.20462 pounds
In mathematical notation we can write ,
1 kilograms = 2.20462 pounds
Multiply both the side of the relation by 136 we get,
⇒ ( 1 × 136 ) kilograms = ( 136 × 2.20462 ) pounds
⇒ 136 kilograms = ( 299.82832 ) pounds
⇒ 136 kilograms = ( 299.8283 ) pounds (round off to four decimals value )
Therefore, the using conversion factor the required 136 kilograms is equal to ( 299.8283 ) pounds ( round off to four decimals value ) .
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Who likes math?AAAAAAAAA
Answer:is this a literal question?
Step-by-step explanation:
if so than it depends on the subject for me
what can you conclude if a and b are nonzero integers such that a | b and b | a?
We can say that a and b are identical in absolute value if a and b are nonzero integers such that a divides b (a | b) and b divides a (b | a). That is to say, a =± b.
The transitive property of divisibility serves as evidence for this. We know that there are numbers k and l such that b = ak and a = bl exist if a | b and b | a. We obtain a = alk by substituting the expression for b into the second equation. We can divide both sides by a to get l = 1/k because an is not zero. Given that k and l are both integers, they must both either be 1 or -1. B Equals ak if k = 1, else then b = ak = a(1) = a, and if k = -1, then b = ak = a(-1) = -a. In either case, we have shown that a = ±b.
So if a and b are nonzero integers such that a divides b and b divides a, then we can conclude that a and b have the same absolute value, but possibly opposite signs.
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