You can identify that the numbers given in the exercise are Decimal numbers.
You can set up the following division:
Follow these steps to solve the division:
1. Move the decimal point of the Divisor two spaces to the right, in order to get it as a Whole number.
2. Move the decimal point of the Dividend two spaces to the right too.
So you get that :
\(3739.2\div9\)3. Take the first two digits of the Divident and find a number that when you multiply it by 9 gives you 37 or a number closer to that value. This would be 4. Write in the Quotient section and write the product below the digits and subtract them.
5. Bring down the next digit, which is 3 ,an apply the same procedure. Do the same with the digit 9.
6. When you bring down the digit 2, which is the first digit after the decimal point, you must write the decimal point next to the corresponding digit in the Quotient section and then apply the same procedure.
Then:
The result rounded to the nearest hundreth is:
\(\approx415.47\)someone please help!!!!!!!!!
Answer:41+108+17=166
And 8×5/6×17=680/30
Step-by-step explanation:I might be wrong bit Hope its right and it helps ;)
DD.6 Find side lengths of similar figures
7ZR
You have prizes to reveal!
Go to your game board.
or
If these two shapes are similar, what is the measure of the missing length d?
1 mi
d
6 mi
12 mi
d =
miles
Finn would run 18 miles after 6 track practices.
We have,
Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.
Unit rate: 6 miles / 2 practices = 3 miles per practice
To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.
Total miles: 3 miles/practice * 6 practices = 18 miles
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A school carnival sold 24 early-admission tickets and 72 regular tickets. What percentage of the tickets sold were early-admission tickets? Write your answer using a percent sign (%).
Answer:
25%
Step-by-step explanation:
add both kinds of tickets first to get the total
24 early admission + 72 regular = 96 total tickets
then divide 24 early tickets by 96 total tickets to get the decimal, then multiply by 100 to get percent
\(\frac{24}{96} = 0.25 * 100 = 25\)%
What is the solution set for - 6x - 14 ≤ 4?
A x ≤ - 3
B x ≥ - 3
C x ≤ 1 1/3
D x ≥ 1 1/3
Answer:
-6x-14<-4
-6x<4+14
-6x<18
divide both side by -6
x<-3
Step-by-step explanation:
answer A
7 7/8 - 3 1/4 =? What’s the answer
Answer:
4 5/8
Step-by-step explanation:
7 7/8= 63/8
3 1/4= 13/4= 26/8
63/8 - 26/8= 37/8
37/8= 4 5/8
(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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What is the equation of line H? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms. -8-7 -6 -5 -4 -3 -2 Y Line H 40- 35 30- 25 20 15 10 54 0 =5 10 -15 -20 -25- -30 -35- -40- 1 2 3 4 -S 5 6 7 -∞o 8
The equation of line H in fully simplified slope-intercept form is y = 15x + 10.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (40 - 10)/(2 - 0)
Slope (m) = 30/2
Slope (m) = 15.
At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 10 = 15(x - 0)
y = 15x + 10
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Help 50 points (show ur work)
1. The value of 34% of 850 is 289.
3. The amount that Kepley paid for the tool is $120.
How to calculate the value?From the information, we want to calculate 34% of 850. This will be calculated thus:
= 34% ×850
= 34/100 × 850
= 0.34 × 850
= 289
The amount paid for the tool will be:
= Price or tool - Discount
= $200 - (40% × $200)
= $200 - $80
= $120
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i am so lost. can someone help?? the question is in the picture.
We are given the following function:
\(f(x)=x^2\)We are asked to do the following tranformations:
1. Shift down 5 units and left 77 units.
First, to shift a function down a number "n" of units we follow the next rule:
\(h(x)=f(x)-n\)And, to shift a function "m" units to the left we use the following rule:
\(h(x)=f(x+m)\)Applying both rules simultaneously we get:
\(h(x)=(x+77)^2-5\)2. Reflect about the y-axis.
The rule to reflect a function about the y-axis is the following:
\(r(x)=h(-x)\)The means that we will change "x" for "-x" in the function we are going to reflect. Applying the rule we get:
\(r(x)=(-x+77)^2-5\)3. Compress vertically by a factor of 2.
To compress a function vertically by a factor "m" we multiply the entire function by 1/m, like this:
\(g(x)=\frac{1}{m}r(x)\)Applying the rule we get:
\(g(x)=\frac{1}{2}((-x+77)^2-5)\)And thus we get to the final function.
Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms.
Log base 5 (x^4y^5/2)
Answer:
4Log₅ x + 5Log₅ y – Log₅ 2
Step-by-step explanation:
Log₅ (x⁴y⁵/2)
The above expression can be simplified as follow:
Log₅ (x⁴y⁵/2)
Recall:
Log(M/N) = Log M – Log N
Therefore,
Log₅ (x⁴y⁵/2) = Log₅ x⁴y⁵ – Log₅ 2
Recall
Log MN = Log M + Log N
Therefore,
Log₅ x⁴y⁵ – Log₅ 2
= Log₅ x⁴ + Log₅ y⁵ – Log₅ 2
Recall
Log Mⁿ = nLog M
Therefore,
Log₅ x⁴ + Log₅ y⁵ – Log₅ 2
= 4Log₅ x + 5Log₅ y – Log₅ 2
Thus,
Log₅ (x⁴y⁵/2)
= 4Log₅ x + 5Log₅ y – Log₅ 2
in the digram triangleADC below, EB||DC, AE = 3, ED = 6, and AB - 12. what is the length of AC
PLS HELP ASAP 50 POINT REWARD
Answer: をしつりつさつりつしゆる
Step-by-step explanation:手を去りててゆる
Answer:
2
Step-by-step explanation:
The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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Question 2 of 10 Suppose a population consists of 5000 people. Which of the following numbers of members of the population being surveyed could result in a sample statistic but not a parameter ? A. Both 50 and 5000 B. 50 C. Neither 50 nor 5000 D. 5000
Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50
What is the Sample Statistic?
A sample statistic is a piece of information you get from a fraction of a population.
A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).
Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.
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1) A bag contains 4 gold marbles, 6 silver marbles, and 32 black marbles. Someone offers to play
this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver,
you win $2. If it is black, you lose $1. What is your expected value if you play this game?
find answer on the attached work sheet please there are 2 answers
Answer:
The altitude is 4.1
The area of triangle DEF is 32.8
Step-by-step explanation:
An altitude drawn from angle F to the opposite side of the triangle will intercept length DE.
let the altitude = h
Apply trig-ratio to determine the value of the altitude "h";
\(sin (55) = \frac{h}{FE} \\\\sin (55) = \frac{h}{5} \\\\h = 5 \times sin(55)\\\\h = 5(0.8192)\\\\h = 4.096\)
The area of ΔDEF using the value of the altitude is calculated as;
\(A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 16 \times 4.096\\\\A = 32.768 \ sq.unit\\\\A \approx 32.8 \ sq.unit\)
The dataset ExerciseHours contains information on the amount of exercise (hours per week) for a sample of statistics students. The mean amount of exercise was 9.4 hours for the 30 female students in the sample and 12.4 hours for the 20 male students. A randomization distribution of differences in means based on these data, under a null hypothesis of no difference in mean exercise time between females and males, is centered near zero and reasonably normally distributed. The standard error for the difference in means, as estimated from the standard deviation of the randomization differences, is . Use this information to test, at a level, whether the data show that the mean exercise time for female statistics students is less than the mean exercise time of male statistics students.
Answer:
i think you should put the answer of 8.98
Step-by-step explanation:
The Pappas family has two cats, Zeus and Athena. Together they weigh thirteen pounds. Zeus weighs 5 pounds less than Athena. How much does Athena weigh?
Given:
Combine weight of two cats, Zeus and Athena = 13 pounds
Zeus weighs 5 pounds less than Athena.
To find:
The weight of Athena.
Solution:
Let x pounds be the weight of Athena.
Zeus weighs 5 pounds less than Athena.
Weight of Zeus = x - 5 pounds
Combine weight of two cats, Zeus and Athena = 13 pounds
\(x+(x-5)=13\)
\(2x-5=13\)
Add 5 on both sides.
\(2x=13+5\)
\(2x=18\)
Divide both sides by 2.
\(x=\dfrac{18}{2}\)
\(x=9\)
Therefore, the weight of Athena is 9 pounds.
An algebraic expression is described as 14 more than the product of
3 and the difference of z and 9. What is the value of this expression
when z = 17?
The value of the expression is 38 when z = 17.
What is the value of this expression when z = 17?Given that, an algebraic expression is described as 14 more than the product of 3 and the difference of z and 9.
First, we write the expression:
The difference of z and 9 means we subtract 9 from z. We then take this result and multiply it by 3.
Finally, we add 14 to the product of 3 and the difference of z and 9.
3(z - 9) + 14
Where z represents the value that we want to substitute into the expression.
Substituting z = 17, we get:
3(z - 9) + 14
3(17 - 9) + 14
3(8) + 14
24 + 14
38
Therefore, the value of the expression is 38.
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Which value is equivalent to the expression shown?
3(1 – 2) + |-71
Answer:
-74
Step-by-step explanation:
3(1-2) + (-71)
3(-1) - 71
-3 -71
-74
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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Can someone please help?
Answer: The annual premium for a 27-year-old female purchasing a 20-Year Endowment insurance policy with a face value of $25,000 is $42.67.
Step-by-step explanation:
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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The intercepts 9x^2+4y^2=36
Answer:
Step-by-step explanation:
b. Rewrite 4 x 63 as the product of a unit fraction and a whole number.
Solve.
Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6
How to multiply fractions?The parameters are given as:
Number - 4
Fraction - 3/6
The following steps can be used to determine the product as the product of a whole number and a unit fraction:
Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.
Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.
Step 3 - Write the given expression.
4 * 3/6
Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.
4 * 3 * 1/6
Step 5 - Simplify the above expression.
12 * 1/6
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please answer the following quickly!!!!
Answer:
A could only be 3 or 6
their sum would be 9
Step-by-step explanation:
Solve for Y in General
12x − 3y = −6
Answer:
y = 4x + 2
Step-by-step explanation:
\(12x - 3y = -6\\\rule{150}{0.5}\\12x-12x-3y=-6-12x\\\\-3y=-6-12x\\\\\frac{-3y=-6-12x}{-3}\\\\y = 2 + 4x\\\\\boxed{y = 4x + 2}\)
Hope this helps.
Brainliest is appreciated.
HELP PLEASE! ASAP !
These 2 questions !
Answer: 9 is true, 10 is false
Step-by-step explanation:
The key to these problems is to make sure the sequence of the letters is equal: 10 would be correct if they said DF ≅XZ
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
You have just been approved for a 30 year 5.5% fixed home mortgage. The monthly payment that you qualify for is $879.32. Use the table provided to determine the price of a home that can be purchased. A 5-column table with 4 rows titled Monthly Payments per 1000 dollars of mortgage. Column 1 is labeled Interest Rate (percent) with entries 5, 5.5, 6, 6.5. Column 2 is labeled 10 Years with entries 10.61, 10.86, 11.11, 11.36. Column 3 is labeled 20 years with entries 6.60, 6.88, 7.17, 7.46. Column 4 is labeled 30 years with entries 5.37, 5.68, 6.00, 6.33. Column 5 is labeled 40 years with entries 4.83, 5.16, 5.51, 5.86. a. $154,267 c. $156,753 b. $154,810 d. $157,153
Answer:
b. $154,810
Step-by-step explanation:
You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.
TableThe given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.
p = (P/1000)×m
ApplicationThe table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...
1000p/m = P
1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810
You qualify for a loan of $154,810.
__
Additional comment
The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).
By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.
What is equation?A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.
To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.
According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.
Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:
Mortgage amount = monthly payment / mortgage payment per $1000
$879.32 mortgage amount / $5.68 per $1000
Loan amount = $154,810
As a result, the purchasing price of a house is $154,810.
As a result, the answer is (b) $154,810.
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