Answer:
The answer is actually 18,000 because for 26 your rounding the nearest ten and for 604 you rounding the nearest hundred so it is 30 x 600 = 18,000
Step-by-step explanation:
The best estimation of 26 × 604 is 18000.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find estimate of 26 × 604
Approximating a quantity to the required accuracy is known as estimation. This estimation we can do by rounding off the numbers involved in the calculation and get a rough answer.
Now let us round off the number 26 to the nearest tenths.
26 is rounded to 30.
604 is round off to the nearest hundredth which is 600.
Now let us multiply 30 with 600 to get the estimated value of 26 × 604.
30×600
18000
Hence the best estimation of 26 × 604 is 18000.
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What’s 400.00 - 172.98 I know the answer I just need to know how to get it
Answer:
227.02
Step-by-step explanation:
\(400.00-172.98 \\ \\ =300 - 72.98 \\ \\ =230-2.98 \\ \\ =228-0.98 \\ \\ =227.02\)
Answer:
227.02
Step-by-step explanation:
\(400.00\\-172.98\)
To solve: First subtract 172 from 400, resulting in 228, then you may subtract the 0.98, leaving 227.02.
What restrictions are there on the range of the function H(w) below?
H(w)
(5.0,20.00)
A. H(w) s 1
B. H(w) > 0
C. H(w) < 0
D. There are no restrictions on the range of H(w).
Answer:
There are no restrictions on the range of H(w).
The restrictions that are there on the range of the function H(w) is:
Option B: H(w) > 0
How to Identify the Function restrictions?The function, named H(w) is defined by a graph that is a descendant line, that belongs only to the first quadrant.
As w approaches to 0 by the right, the function approaches to + infinity. It never touches the vetical axis, decreases and approaches to 0 when w approaches to infinity. The graph never touches the horizontal - axis.
Then, the function is defined only for positive values of w and H(w) is always positive.
Then, the answer is H(w) > 0, this is the option B
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True or False. The set Span{u,v} is always visualized as a plane through the origin.
The statement that , "The set Span{u,v} is always visualized as a plane through the origin" is False because if vectors are scalar multiples of each other, then set Span{u,v} is a line through origin .
The set Span{u,v} is defined as the set of all linear combinations of vectors "u" and "v" . This set can be visualized as a plane in three-dimensional space if the vectors are not scalar multiples of each other.
The plane may not necessarily pass through the origin, unless one of the vectors is the zero vector .
If the vectors are scalar multiples of each other, then the set Span{u,v} is a line through the origin, and if one of the vectors is the zero vector, then the set Span{u,v} is a plane through the origin.
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In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°. What is the measure of angle G?
42°
53°
117°
127°
Answer: 127 degrees
Step-by-step explanation:
I hope this helps
E F
H G
I had to write it out the parallelogram so I could have a better visual.
F and G are consecutive angles in a parallelogram (not on opposite sides).
This means they add to be 180 degrees.
F+G=180
(3x-10)+(5x+22)=180
(3x+5x)+(-10+22)=180
8x +12=180
Subtract 12 on both sides:
8x =180-12
Simplify:
8x =168
Divide both sides by 8:
x =168/8
x =21
If x=21 and want the measurement of angle G, then
(5x+22)=(5*21+22)=127.
So angle G has measurement 127 degrees.
The the measure of angle G will be 127°. Then the correct option is D.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
In parallelogram, the sum of the two adjacent angle is 180 degrees.
In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°.
The angle F and angle G are the adjacent angle.
The sum of angle F and angle G is 180°.
∠F + ∠G = 180°
3x - 10 + 5x + 22 = 180
8x = 168
x = 21
Then the the measure of angle G will be
∠G = (5x + 22)°
∠G = (5 × 21 + 22)°
∠G = (105 + 22)°
∠G = 127°
The the measure of angle G will be 127°.
Then the correct option is D.
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Prove the following: a) If a≡b(modn) and m∣n, then a≡b(modm). b) If a≡b(modn) and c>0, then ca≡cb(modcn).
a) If a is congruent to b modulo n and m divides n, then a is congruent to b modulo m.
b) If a is congruent to b modulo n and c is a positive integer, then ca is congruent to cb modulo cn.
a) To prove the first statement, assume that a ≡ b (mod n) and m divides n. This means that n = km for some integer k. We want to show that a ≡ b (mod m). Since a ≡ b (mod n), it implies that a - b is divisible by n. Since m divides n, we can express n as n = pm for some integer p. Therefore, a - b = nq for some integer q. By substituting n = pm, we have a - b = pmq. Since pq is an integer, we can conclude that a - b is divisible by m, which means a ≡ b (mod m).
b) To prove the second statement, assume that a ≡ b (mod n) and c is a positive integer. We want to show that ca ≡ cb (mod cn). Since a ≡ b (mod n), it implies that a - b is divisible by n. We can express a - b as (a - b) = kn for some integer k. Multiplying both sides of the equation by c, we get c(a - b) = c(kn), which simplifies to ca - cb = cnk. Since nk is an integer, we can conclude that ca - cb is divisible by cn, which means ca ≡ cb (mod cn).
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help agin please number 8
Answer:
G
Step-by-step explanation:
5 + 7 > 9
12 > 9
5 + 9 > 7
14 > 7
7 + 9 > 5
16 > 5
Answer:
G as
5+7 more than 9
5+9 more than 7
7+9 more than 5
Lora's phone records data for screen time each week. Last week, she used 840 minutes. This week, lora used 504 screen time minutes on the phone. Calculate the percent decrease in screen time this week.
By using percentage, it can be calculated that
Percentage decrease in the screen time for Lora = 40 %
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
For example 9% means \(\frac{9}{100}\). Here 9 is expressed as a fraction of 100
Here, Percentage decrease will be calculated
Screen time for Lora last week = 840 minutes
Screen time for Lora this week = 504 minutes
Decrease in screen time for Lora = (840 - 504) minutes
= 336 minutes
Percentage decrease in the screen time for Lora = \(\frac{336}{840}\times 100\) = 40 %
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I’m confused math has never really been my strong suit
Thus, 25.13 cubic inches is the closest estimate for the ice cream's overall volume.
what is volume ?Volume is a mathematical concept that describes how much space a three-dimensional object occupies. It is frequently expressed in terms of cubic units like cubic metres (m3), cubic feet (ft3), or cubic centimetres (cm3). Depending on the shape of the object, different formulas can be used to determine its volume. Consider this: The formula V = l w h, where l has been the length, w is the broad, and h corresponds to the height of the rectangular prism (box), gives the volume of the object. A sphere's volume can be calculated using the method V = (4/3)r3, where r is the sphere's radius.
given
The formula for a cone's volume is as follows, assuming that the ice cream has the correct circular cone shape with radius r = 2 in and height h = 6 in:
\(V = (1/3) * \pi * r^2 * h\)
Inputting the values provided yields:
\(V = (1/3) * \pi * (2 in) * (2 in) * (6 in)\) = 25.13 cubic inches
Thus, 25.13 cubic inches is the closest estimate for the ice cream's overall volume.
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The complete question is:-
r = 2 in.
h = 6 in.
Which is closest to the total volume of the ice
cream?
Money that is collecting interest in a bank account doubles in value every 10 years. When the account was opened, it had 16, or 2* dollars in it. After 50 years, the account balance has doubled 5 times, increasing by a factor of 2 It now has a balance of 2*.25. Expressed as a power, how much money, in dollars, is in the account after 50 years? 1
The amount in dollars that is in the account after 50 years expressed in power is; 2⁹
How to apply the rule of exponents?
We are told that the money doubles in value after every 10 years.
When the account was opened it had 2⁴ dollars in it and after 50 years it has doubled 5 times. The doubling increased by a factor of 2⁵ and is now has a balance of 2⁴ × 2⁵.
Using the rule of exponents, we have;
2⁴ × 2⁵ = 2⁹
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C-x:x is a two-digit natural number such that the sum of its digits is is 89
Find the missing angle measure.
Answer:
x=83º
Step-by-step explanation:
The interior angle sum of a Hexagon is 720º
146+169+59+129+134+x=720
x=720-637
x=83
Solve the system for x and y.
-8x-y= -43
8x-5y= -71
A. ( 4,11)
B. (3,19)
C. (-2,11)
D. ( 2,27)
Can someone please help me out with this question?
A new car depreciated by 25% after one year. If it was bought for £12,000, show a non-calculator method you could use to find out how much it was worth after the first year.
Since the car depreciated by 25%, the car was worth £9,000 after the first year.
What is calculated?Calculated is an adjective that describes a process or action that requires the use of mathematics or numerical data. It can refer to anything from complex financial calculations to measuring the area of a room. Calculated is often used to describe decisions or actions that are made after carefully considering the available information. For example, a calculated risk is one that has been assessed for its potential risks and rewards before being taken. Calculated decisions are based on logical reasoning and facts rather than impulse or emotion.
The non-calculator method to find out how much the car was worth after the first year would involve using the concept of percent change. To calculate the percent change, first identify the original amount (the cost of the car before depreciation) and the new amount (the cost after depreciation). In this case, the original amount is £12,000 and the new amount is 25% lower than the original amount.
To find the new amount, first convert the 25% decrease into a decimal. To do this, divide the percentage by 100. 25% can be written as 25/100, which when simplified is 0.25. Subtract the decimal from 1. The difference between 1 and 0.25 is 0.75. This number is the percentage change.
To apply this percentage change to the original amount of £12,000, multiply 0.75 by 12,000. The result of this calculation is £9,000, which is the cost of the car after the first year. Since the car depreciated by 25%, the car was worth £9,000 after the first year.
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Please someone help me with this... and please thouroughly explain, i have no clue what to do.
144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.
Which of these graphs below represents the correct solution to the following system of equations? −x + y = 2 3x + y = 6
Answer:
i can answer if you add the picture of the graphs:)
Step-by-step explanation:
y varies directly with x .If y=(5/3) when x=(3/4), find x when y=(1/2)
The required value of x is 9 / 40.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of y
let k be the constant of proportion
When a quantity varies directly with others, then we have a relation, y = kx —-- 1
Now, find k for given x = 3 / 4 and y = 5 / 3, we need to put these values in equation 1, i.e.
5 / 3 = k(3 / 4)
k = (5 × 4) / 9
k = 20 / 9
Further calculate x for given y = ½ and constant of proportion = 20/9i.e.
½ = (20 / 9)x
x = 9 / 40
Hence, the required value of x is 9 / 40.
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uh hi I actually need help thank you
Answer: quadrant II
Step-by-step explanation:
James needs to buy some poster board to build a box for a project. The box needs to be 10 inches long, 5 inches wide, and 4 inches high. How much cardboard is needed to build the box?
Answer:200 inches Of cardboard
Step-by-step explanation: It looks like we need to do the volume of this box we will be making which means we need to do this formula:
V= length x width x hieght
V= 10 x 5 x 4
=200in.
Kevin made $96 in nickels sales and have the amount in bracelets sales how much money did Kevin make in
Answer:
ok so first lets find halve of 96
96*1/2=53
then lets add these together
96+53=149
149
Hope This Helps!!!
Complete the inequality. 13/18___ 11/14 < > =
Answer:
Your answer is <, Hope it helps.
(PLSS HELP NOW!!!!) Select the statement that describes this expression: 10 + fraction 1 over 4 x (5 + 3) − 3.
Group of answer choices
A. 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3
B. fraction 1 over 4 of 10 times the sum of 5 and 3, minus 3
C. 3 more than 3 plus 5 multiplied by fraction 1 over 4 , then add 10
D. 10 times fraction 1 over 4 plus 3 and 5, minus 3
By answering the presented question, we may conclude that As a result, expression the right answer is A.
what is expression ?An expression in mathematics is a collection of representations, digits, and huge corporations that depict a causative link or regimen. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
The order of operations (PEMDAS) may be used to simplify the formula 10 + fraction 1 over 4 x (5 + 3) 3 as follows:
Then, we do the following operation: 5 + 3 = 8.
So we multiply 8 by 1/4 to get 2: 8 x 1/4 = 2.
Then we multiply 10 by 2: 10 + 2 Equals 12.
Lastly, we deduct three from twelve: 12 - three = nine.
As a result, the phrase is described as "10 greater than fraction 1 over 4 of the sum of 5 and 3, then deduct 3."
As a result, the right answer is A.
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Answer:
23543
Step-by-step explanation:
Im just a big brain, and already solved it.
I WILL GIVE BRAINLY! PLEASE HELP!
3x + 1 over 4y2
What is the value of the expression above when x = 3 and y = 4?
Answer:
he expression is undefined where the denominator equals
0
, the argument of an even indexed radical is less than
0
, or the argument of a logarithm is less than or equal to
0
.
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Step-by-step explanation:
Find the sticker price in each row of the table.
Answer:
$22,650$23,145$37,857$54,128Step-by-step explanation:
Given a table of base prices, option prices, and destination charges, you want the corresponding sticker prices.
Sticker priceThe sticker price is the sum of the base price, options, and destination charge. For example, ...
sticker price = $19,900 +2400 +350 = $22,650
From the top down, the sticker prices are ...
$22,650$23,145$37,857$54,128__
Additional comment
It is convenient to have a calculator or spreadsheet repeat the calculation with the different numbers.
A _____ standard score indicates that the original score is _____ than the mean.
Answer:
A positive standard score indicates that the original score is greater than the mean
Step-by-step explanation:
please mark as brainliest
A negative standard score indicates that the original score is lower than the mean.
A standard score, also known as a z-score, is a statistical measure that represents the number of standard deviations an individual score is away from the mean of a distribution. It provides a standardized way to compare and interpret individual scores within a dataset.
When the standard score is negative, it means that the original score is below the mean of the distribution. In other words, the value associated with the score is lower than the average value in the dataset.
For example, if we have a dataset with a mean of 50 and an individual score of 45, we can calculate the standard score (z-score) using the formula:
z = (x - μ) / σ
where x is the original score, μ is the mean, and σ is the standard deviation.
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Find the difference of the complex numbers.
(2 +8i)-(-5 - 3i)
Answer:
7 + 11i
Step-by-step explanation:
Simplify: (2 +8i)-(-5 - 3i) = 2 + 8i + 5 + 3i
Add real numbers to real numbers and imaginary to imaginary: 2 + 8i + 5 + 3i = 7 + 11i
A complex number can be shown as a pair of integers (a, b). The difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.
What is a complex number?A complex number can be shown as a pair of integers (a, b) forming a vector on an Argand diagram, which represents the complex plane.
The difference of the complex number can be done as following,
(2+8i)-(-5-3i)
= 2 + 8i + 5 + 3i
= 5+2 + 8i+3i
= 7 + 11i
Hence, the difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.
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which equation is correct for wave speed? wave speed = (1/period) x wavelength wave speed = frequency x wavelength both of these neither of these
The correct equation for wave speed depends on the type of wave. For transverse waves, the equation is wave speed = frequency x wavelength, while for longitudinal waves, the equation is wave speed = (1/period) x wavelength.
The equation for wave speed depends on the nature of the wave. In the case of transverse waves, such as electromagnetic waves or waves on a string, the correct equation is wave speed = frequency x wavelength. Frequency refers to the number of complete oscillations or cycles of the wave per unit of time, typically measured in hertz (Hz). Wavelength represents the distance between two consecutive points in the wave that are in phase, such as the crest or trough of the wave. The product of frequency and wavelength gives the speed at which the wave propagates through the medium.
However, for longitudinal waves, such as sound waves, the correct equation is wave speed = (1/period) x wavelength. Period refers to the time it takes for one complete oscillation or cycle of the wave, and it is the reciprocal of frequency. The wave speed in longitudinal waves can be calculated by multiplying the wavelength by the inverse of the period.
Therefore, the correct equation for wave speed depends on whether the wave is transverse or longitudinal. For transverse waves, it is wave speed = frequency x wavelength, while for longitudinal waves, it is wave speed = (1/period) x wavelength.
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let A be a nxn invertible symmetric (A^T = A) matrix. show that a^-1 is also symmetric matrix
The inverse of an invertible symmetric matrix A, denoted as A^(-1), is also a symmetric matrix.
The inverse of an invertible symmetric matrix A, denoted as A^(-1), is also a symmetric matrix.
To prove this, let's start with the given information: A is an nxn invertible symmetric matrix, meaning A^T = A. We want to show that A^(-1) is also symetric, i.e., (A^(-1))^T = A^(-1).
Since A is an invertible matrix, it has a unique inverse A^(-1). We can use the properties of transpose and matrix inversion to demonstrate that (A^(-1))^T = A^(-1).
Taking the transpose of both sides of the equation A^T = A, we have (A^(-1))^T * A^T = (A^(-1))^T * A.
Now, multiply both sides by A^(-1) on the left: (A^(-1))^T * A^T * A^(-1) = (A^(-1))^T * A * A^(-1).
By the properties of matrix transpose, (AB)^T = B^T * A^T, we can rewrite the equation as (A^(-1) * A)^T * A^(-1) = A^(-1)^T * A * A^(-1).
Since A^(-1) * A is the identity matrix I, we have I^T * A^(-1) = A^(-1)^T * A * A^(-1).
Since I is symmetric (the identity matrix is always symmetric), we can simplify the equation to A^(-1) = A^(-1)^T * A * A^(-1).
Now, we have shown that A^(-1) = A^(-1)^T * A * A^(-1), which implies (A^(-1))^T = A^(-1).
Therefore, we have proved that the inverse of an invertible symmetric matrix A, denoted as A^(-1), is also a symmetric matrix.
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For the function shown below, the definite integral integral_0^10 f(x) dx is closest to which of the following? a.-8 b.4 c.-4 d.0 e.8
The provided function's definite integral from 0 to 10 is closest to 4.
The area of each zone that the function, the x-axis, and the two vertical lines at x = 0 and x = 10 bounds is added to form the definite integral of the function. The definite integral that results from adding up each of these areas is the one that is closest to 4. The area of the region above the x-axis is larger than the area of the region below the x-axis, which explains this. The area of the region above the x-axis is higher than the area below the x-axis because the function is rising across the interval. The overall area is closer to 4 since the area of the region below the x-axis is negative. As a result, 4 is the closest value for the definite integral of the 0–10 function.
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What is the value of K the line?
As asked by the question, the value of K for a given equation of a line is equal to the slope of the line.
What is a line?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
What is slope of a line?A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
The value of K for a given line is equal to the slope of the line. Since lines are generally expressed in the form of y = mx +b , where m is the slope of the line and b is the y-intercept of the line. Here , the value of K will be equal to the slope m of the line.
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Is 11/20 closer to 0 1/2 or 1
Answer:
11/20 is closer to 1/2.
Step-by-step explanation:
To see why, we can look at the number line. The midpoint between 0 and 1/2 is 1/4, and the midpoint between 1/2 and 1 is 3/4. 11/20 is greater than 1/2, but it is closer to 1/2 than it is to 3/4.
Another way to check is to find the distance between 11/20 and each of the values. The distance between 11/20 and 1/2 is 1/20, while the distance between 11/20 and 1 is 9/20. Since 1/20 is smaller than 9/20, 11/20 is closer to 1/2 than it is to 1.