The decimal division of 18.92 by 11 gives us; 1.72
How to divide decimal numbers?
When dividing decimals we first of all have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way like in regular long division.
We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;
18.92/11 = 1892/1100
= 1 + (1892 - 1100)/1100
= 1 + (792/1100)
= 1 + 0.72
= 1.72
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HELP NOW!!! BRAINLIEST + 100 POINTS!!
y = 3.12 + 61.02s
slope = 61.02
y intercept = 3.12
y intercept occurs when x = 0
correct option is the fourth option
Answer:
?
Step-by-step explanation:
Kate can mow lawns at a constant rate of 4/5 lawns per hour. what is the ratio of lawns to hours?
which of the formulas represents the sequence?
Answer:
b i think srry if not right <33
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
To find the nth term of a sequence :
We find the jump between each terms :
21 to 17 is -4
17 to 13 is -4
13 to 9 is -4
There -4 will go before the n
Then we find the 0th term :
Opposite of -4 is +4
21 + 4 = 25
Our final answer is -4n + 25
Option A
Hope this helped and have a good day
The point with the lowest elevation in the United States is Badwater Basin, California at 279 feet below sea level. The point with the highest elevation in the United States is Denali, the mountain in Alaska, at 20,237 feet above sea level.
Use absolute value to find the distance between them.
Answer:
hink of sea level as 0 , and the elevation above sea level as positive, while the elevation below sea level is negative. Then determine the distance between them as if the two values are on a number line.
20617 feet
Step-by-step explanation:
Divide 24 in the ratio 1:3
Answer: So the division between two persons is 1/6 and 1/2.
Step by step: First Person = 1*4/24= 4/24 = 1/6 (0.16)
Second Person = 3*4/24 = 12/24= 1/2 (0.5)
Answer: the division between two persons is 1/6 & 1/2.
Step-by-step explanation:
Just divide
The table shows ticket prices at a movie
theater. Ticket sales to an afternoon show
were $106. There were 10 child tickets sold.
Write and solve an equation to find how many
adult tickets were sold. Show your work.
Answer:
their would be 1,060 that they sold
3. Calculer la mesure des angles ADC et ABC de la figure ci-dessous.
Answer:
∠ ADC = 113° , ∠ ABC = 85°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , then
∠ ADC + ∠ ACD + ∠ CAD = 180° , that is
∠ ADC + 39° + 28° = 180°
∠ ADC + 67° = 180° ( subtract 67° from both sides )
∠ ADC = 113°
---------------------------
DA is an angle bisector of ∠ BAC , then
∠ BAD = ∠ CAD = 28° , then ∠ BAC = 56° , then
∠ ABC + ∠ BAC + ∠ ACB = 180° , that is
∠ ABC + 56° + 39° = 180°
∠ ABC + 95° = 180° ( subtract 95° from both sides )
∠ ABC = 85°
Simplify the ratio.
3-5\4-1
The ratio (3 - 5)/(4 - 1) in the simplified form is -2/3.
What are ratios?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Ratios can be divided into two categories. The part-to-whole ratio is one, and the part-to-part ratio is another. The part-to-part ratio illustrates the relationship between two separate entities or groupings.
Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.
The given ratio is
(3 - 5)/ (4 - 1)
When we subtract a bigger number from a smaller number, we subtract the small number from the bigger one and put the sign before the result the sign of the bigger number. So,
= - 2 / 3
So, the simplified form of (3 - 5)/ (4 - 1) is -2/3.
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At the ice cream shop ,there are 11 shakes sold for every 6 malts .What is the ratio of malts to shakes
The ratio of malts to shakes is 6:11.
What is a ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.
In this case, in the ice cream shop ,there are 11 shakes sold for every 6 malts .
The ratio of malts to shakes will be:
= Number of malts / Number of ice cream
= 6/11
= 6:11
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What is the radian measure of the central angle of an arc that has an arc length of 3 units and a radius of 4 units?.
An arc with 3 units length and 4 units radius has the central angle of 0.75 radians.
The length of an arc is proportional to its central angle.
Let:
l = length of an arc
a = magnitude of the arc's central angle
r = radius of the corresponding circle
Then, the following holds:
a/2π = l / C
Where C = circumference of the circle = 2 πr
Hence,
a/2π = l / 2 πr
a = l/r (equation 1)
Parameters given in the problem:
l = 3 units
r = 4 units
Plugs these parameters into equation 1
a = 3/4 = 0.75 radians.
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On the coordinate plane, draw rectangle WXYZ with
vertices W(-1,4), X(-1,1), Y(5,1),Z(5,4). Find the perimeter of the rectangle.
The perimeter of rectangle WXYZ is 18.
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
vertices: W(-1,4), X(-1,1), Y(5,1),Z(5,4)
We need length and width.
If WX is the length, then WZ can be width
We know the distance formula between the coordinates (x,y) and (m,n) as:
√(m-x)²+(n-y)²
WX=√(-1-(-1))²+(1-4)² = √(0²+9)=3
WZ=√(5-(-1))²+(4-4)² = √(6²+0)=6
Now, perimeter of rectangle WXYZ=2(WX+WZ)=2(3+6)=18
Hence, the perimeter of rectangle WXYZ is 18.
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At the end of week 4 the price per gram of gold wa $39. 28. What wa the price per gram of gold at the beginning of week 1?
After the 4 week the change in price is given by = 0.25.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
After the 4 week, the change in price is given by1.25 - 3.125 + 0.625 + 1.5= 0.25.learn more about unitary method click here:
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Boden's account has a principal of $700 and a simple interest rate of 4.1%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Answer:
$66.00
Step-by-step explanation:
first we need multiply :D I will use the formula I =prt
principal= $500
rate=3.3%
time= 4 years
but we need to convert the percent, 3.3%, to a decimal
3.3%=0.033 or .033
now we multiply !
500 × 0.033 × 4 = 66 = $66.00
:D
Step-by-step explanation:
Chooe Ye or No to tell whether each ituation can be repreented by the expreion 25. 75x 10. Carol ha $25. 75. She earn $10 for each car he wahe. Chooe. Max ha $10. He earn $25. 75 for every lawn he mow. Chooe. Jin buy x potcard for $25. 75 and x keychain for $10 each. Chooe. Saha ell a carf for $10 and x jacket for $25. 75 each. Chooe
The situation of Max and Sasha hold true with the equation.
Let's begin with understanding the equation. The number 10 is constant, which means no matter what, the person will have quantity or quality worth of 10. Also, the person will have some quality or quantity that will increase by 25.75 periodically.
Carol has fixed amount of $25.75 and variable amount $10. Jin has both the amounts as variable. So they do not fit the equation. Max and Sasha have constant amount $10. Max earns $25.75 based on number of lawns. Sasha spends same amount based on number of jackets.
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Giving out Brainliest!!!
Blake was a little concerned as he stood in the middle of the overcrowded elevator. The sign clearly stated that the total weight in the elevator had a maximum capacity of 2,500 pounds.
Write an inequality to show the weight limit for the elevator.
w ≤ 2,500
w ≥ 2,500
w < 2,500
w > 2,500
The inequality that shows the maximum weight capacity of the elevator is w≤ 2500
InequalityInequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.
To represent the weight limit for the elevator using inequality, we can write it out as
w = weightw ≤ 2500
This shows that the weight must not exceed 2500 pounds
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in the previous example, the mean of birth weights for individual babies in the population is 3,500 grams. what is the mean birth weight for the sampling distribution for samples of 100 babies? group of answer choices 35 350 3,500
If we take any sample from population the mean of sample is approximately population mean always sample mean of 100 babies is 3500.
What are statistics?Statistics is a science concerned with developing and studying methods of collecting, analyzing, interpreting, and presenting empirical data. Statistical research is applicable to virtually all scientific disciplines, and research challenges in various scientific disciplines motivate the development of new statistical methods and theories. Statisticians use a variety of mathematical and computational tools to develop methods and study the theory behind methods. His two basic ideas in the field of statistics are uncertainty and variability. Science (or life in general) often encounters situations where the outcome is uncertain.
CalculationSample mean is unbiased estimator of population mean.
so , if we take any sample from population the mean of sample is approximately population mean always.
therefore, sample mean of 100 babies is 3500.
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Rebecca earns $4400 per month, of which 25% is taken out of her paycheck for
taxes and other fees.
Calculate Rebecca's take-home pay.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 4400}}{\left( \cfrac{25}{100} \right)4400}\implies 1100~\hfill \underset{take-home~pay}{\stackrel{4400~~ - ~~1100}{\text{\LARGE 3300}}}[/tex]
In Exercises 9-12, at the indicated point find
(a) the slope of the curve,
(b) an equation of the tangent, and
(c) an equation of the normal.
(d) Then draw a graph of the curve, tangent line, and normal
line in the same square viewing window.
9. y=x² at x = -2
Answer:
y'(-1*2 )= -4
Step-by-step explanation:
y'=2x
y'(-1*2) = 2 ⋅ (-2)
-4
y'(-1*2) = -4
Answer:
(a) slope: -4
(b) tangent: y -4 = -4(x +2)
(c) normal: y -4 = 1/4(x +2)
(d) graph: see attached
Step-by-step explanation:
You want the slope of the curve, and equations for the tangent and normal lines at x = -2 when y = x².
(a) SlopeThe slope of the curve is given by the derivative.
y' = 2x
At x = -2, the slope is
y' = 2(-2) = -4
The slope of the curve at x=-2 is -4.
(b) Equation of the tangentThe value of y at x=-2 is ...
y = (-2)² = 4
The point-slope equation of the line with slope -4 through point (-2, 4) is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -4 = -4(x +2) . . . . . . line with slope -4 through point (-2, 4)
(c) Equation of the normalThe normal has the opposite reciprocal slope at the point of tangency.
y -4 = 1/4(x +2) . . . . . . . line with slope 1/4 through point (-2, 4)
(d) GraphSee the attachment for a graph.
The driving time for an individual from his home to his work is uniformly distributed between 300 to 480 seconds.
A. Determine the probability density function.
B. Compute the probability that the driving time will be less than or equal to 435 seconds.
C. Determine the expected driving time.
D. Compute the variance.
E. Compute the standard deviation.
The probability density function is P(x) = 0 for x < 300 or x >480.
A probability density function, also known as the density of a continuous random variable, is a function whose value can be interpreted as providing a relative likelihood that the value of the random variable would be close to that sample in the sample space at any given sample in the sample space.
A. the probability density function will be 1/(480-300) = 1/180 for 300=x=480
thus, P(x) = 0 for x < 300 or x >480
B. the probability that the driving time will be less than or equal to 435 seconds is given by,
P(x= 435) = (1/180)(435-300) = 135/180 = 0.75.
C. the expected driving time will be the mean of intervals,
(300 + 480)/2 = 390
D. variance will be computed as (1/12)(480-300)² = 2700
E. standard deviation is calculated as √2700 = 51.96
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What is the solution of |x – 1| = –8?
no solution
x = –8 or x = 8
x = –7 or x = 9
x = –9 or x = 7
please answer quick its for a test
Answer:
No solution
Step-by-step explanation:
When it comes to absolute value, the answer cannot be negative.
|-8-1|
|-9| = 9
What is the expansion of the series sum from n equals 1 to 4 of 4 to the n plus 1 power question mark.
The expansion of the series will be 16 + 64 + 256 + 1024.
How to expand the series?
The expansion of a function into a series, or infinite sum, is known as a series expansion in mathematics. It is a technique for calculating a function that cannot be represented using just basic operators (addition, subtraction, multiplication and division).
The series is given as:
When n = 1, we have:
The series is given as S = (n=1,4)∑ [tex]4^{n+1}[/tex]
S = [tex]4^{2}+4^{3} +4^{4}+4^{5}[/tex]
S = 16 + 64 + 256 + 1024
Hence, the expansion of the series is 16 + 64 + 256 + 1024
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a sample of 20 cupcakes found the interval for average calories to be (150, 350). which is the correct interpretation of the 95% confidence interval?
95% is the correct interpretation of the 95% confidence interval.
What is a confidence interval?
Using confidence intervals, one can gauge how "good" an estimate is; the wider the 90% confidence interval is for a given estimate, the more care must be taken when using that estimate. Confidence intervals serve as a crucial reminder of the estimates' limits.The confidence level informs us of the probability that the procedure we are employing will result in an interval of data or a range of data that will capture the population parameter.
A confidence interval's capture of a population parameter is never indicated by the confidence level.
We are therefore 95% certain that it captures the true mean, which seems to be correct.
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Select the correct answer.
Consider figures 1 and 2 shown in the coordinate plane. Figure 1 has been transformed to produce figure 2.
Which notation describes this transformation?
Using translation concepts, the notation that describes this transformation will be; A. (x,y) -> (x - 8, y - 8).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in its definition or in its domain.
To generate figure 2 from the figure 1, the following translations could be;
8 units left, thus x -> x - 8.
8 units down, thus y -> y - 8.
Hence, the rule is given;
A. (x,y) -> (x - 8, y - 8).
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The general equation for depreciation is given by y=a(1-r)^t where y=current value.
With the help of the given equation, we know that the automobile is worth $12528.15 after four years.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.a formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2. In the above example, the variable x exists.So, the equation of depreciation: y = A(1 - r)∧t
The current value is y.
A is the initial cost.
r is the depreciation rate.
t is the time in years, and
In four years, we must ascertain the present value.
Now,
y = $24000(1 - 0.15)⁴
y = 24000(0.85)⁴
y = 24000 × 0.52200625
y = 12528.15
Therefore, with the help of the given equation, we know that the automobile is worth $12528.15 after four years.
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Complete question:
The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $
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A 100-unit-long line is split in half.
Half of the line is used to form one large circle.
The other half forms two identical smaller circles.
Which is larger?
The circle with radius=7.95 is larger when a 100-unit long line is split in half.
What is meant by circle?A circle is a shape produced by all points in a plane that are a certain distance from the center. It is the curve drawn by a point traveling in a plane so that its distance from a specified point remains constant. The radius is the distance between any two points on a circle and the center. Typically, the radius must be positive. A degenerate instance is a circle with radius r=0. Except when otherwise noted, this article is about circles in Euclidean geometry, specifically the Euclidean plane.
A circle, in instance, is a fundamental closed curve that divides the plane into two regions: interior and exterior.
The perimeter of larger circle is 50 units
Therefore, 2πr=50
Radius=7.95
The perimeter of smaller circle is 25 units
Therefore, 2πr=35
Radius=3.97
The circle with radius=7.95 is larger.
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The oranges at the grocery store went from $0.75/ib to $ 0.90/ib what is the percent increase in the cost of oranges
The percentage increase in the cost of oranges is 20%
What is meant by percentage?A % is a quantity or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviation "pct.", "pct.", and occasionally "pc" are also used to indicate it, but the percent sign, "%," is more frequently employed. There is no unit of measurement for a %; it is a dimensionless number (pure number).
The symbol for "%" developed from the progressive reduction of the Italian term per cento, which means "for a hundred." It finally vanished totally. The word "per" was frequently shortened to "p." Two circles and a horizontal line made up the "cento," which is how the contemporary "%" symbol is now represented.
Given that the oranges at the grocery store went from $0.75/ib to $ 0.90/ib
=(0.90-0.75)/0.75
=0.15/0.75
=0.2
% increase= 0.2*100
=20%
Therefore, the percentage increase in the cost of oranges is 20%
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find the product what is -2.8(-1.7)
Product of the given expression -2.8 (-1.7) is equal to 4.76.
As given in the question,
Given expression is equal to :
-2.8 (-1.7)
There are two numbers -2.8 and -1.7.
Both the numbers are negative.
Multiply negative to a negative number is positive number.
Result of -2.8 and -1.7 is positive number.
Required product of the given expression is equal to :
-2.8 (-1.7)
= (-1) × (2.8) × (-1) × (1.7)
Multiply (-1) to (-1) is equal to positive (1) :
= 2.8 × 1.7
= 4.76
Therefore, product of the given expression -2.8 (-1.7) is equal to 4.76.
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a circular mirror is surrounded by a square frame. the radius of the mirror is 7x. the side length of the metal frame is 21x. what is the area of the metal frame? write your answer in factored form.
Answer:
Why does each perfect square have two square roots?
Step-by-step explanation:
Why does each perfect square have two square roots?
What is the area?
2 mi
square miles
1 might
Answer:640 sq miles
Step-by-step explanation:
Which of the following is equivalent to 5a^3+4a^3
Answer:
9a³
Step-by-step explanation:
Like terms have the same variable parts and can be added and subtracted.
5a³ + 4a³ = 9a³
After simplifying the expression 5a³ + 4a³, we get (5+4) a³. The correct answer is c)
To simplify the expression 5a³ + 4a³, we can combine the like terms, which means adding the coefficients of the same variable with the same exponent.
In this case, both terms have the variable "a" raised to the power of 3. Therefore, we can add the coefficients 5 and 4:
5a³ + 4a³ = (5 + 4) a³
Simplifying further:
5a³ + 4a³ = 9a³
So, the expression 5a³ + 4a³ is equivalent to 9a³. This means that the correct answer is c) (5+4) a³, which represents the simplified form of the expression. The other options, a), b), and d), do not correctly simplify the expression or represent an equivalent form.
The correct answer is c)
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Complete question is:
Which of the following is equivalent to 5a³+4a³?
a) (5+4) a³⁺³
b) (5.4) a³
c) (5+4) a³
d) (5.4) a³⁺³
