The first digit of the quotient (8) should be placed in the tens decimal place, as he is currently dividing the number 62 by 7.To find out where Kiran should place the first digit of the quotient (8), we need to understand the process of long division. Correct option is B .
When performing long division, we divide the dividend (771625 in this case) by the divisor (62 in this case) to get the quotient. We start from the leftmost digit of the dividend and perform the division operation one digit at a time.
In this case, Kiran starts by dividing 62 by 7. The result is 8 with a remainder of 6. Kiran then brings down the next digit of the dividend, which is 7, and adds it to the remainder to get 67. He then repeats the division process by dividing 67 by 7, which results in 9 with a remainder of 4.
Kiran will continue this process until he has gone through all the digits of the dividend. Therefore, the first digit of the quotient (8) should be placed in the tens decimal place, as he is currently dividing the number 62 by 7.
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a. x - 2 = 10
b. s - 4 = 6
c. y - 10 = 24
d. t - 3 = 9
2. Subtraction:
a. x + 2 = 10
b. s + 4 = 6
c. y + 10 = 24
d. t + 3 = 9
3. Multiplication
a. 1/2x = 10
b. 1/4s = 8
c. 1/3t = 6
d. 1/5 y = 20
4. Division
a. 4x = 32
b. 13x = 39
c. 5x = 25
d. 10x = 100
5. Mixed Practice
a. x + 4 = 7
b. 33 - y = 44
c. s + 18 = 26
d. m - 40 = 20
e. z + 100 = 100
f. x + 22 = 23
g. s - 4 = 96
h. 1/4x = 4
i. 24x = 3
j. 1/5x = 50
k. 1/3y = 33
l. t + 12 = 16
m. t - 12 = 16
n. 1/2q = 8
o. 12t = 24
Answer:
a. 8
b. 10
c. 14
d. 6
a. 8
b. 2
c. 14
d. 6
Answer:
a) x=12
b) s=10
c) y=34
d) t=12
Subtraction:
a) x=8
b) s=2
c) y=14
d) t=6
Multiplication:
a) x=20
b) s=32
c) t=18
d) y=100
Division:
a) x=8
b) x=3
c) x=5
d) x=10
Mixed Practice:
a) x=3
b) y=-11
c) s=8
d) m=60
e) z=0
f) x=1
g) s=92
h) x=16
i) x=1/8
j) x=250
k) y=99
l) t=4
m) t=28
n) q=16
o) t=2
Step-by-step explanation:
Here you go, brainliest would be much appreciated. :)
solve for m please will give brainlest
Answer:
55 degrees
Step-by-step explanation:
sum of all angles of a triangle equal 180
to find x we add them all and set them equal to 180
(57+x)+(72+x)+55=180
129+2x+55=180
184+2x=180
-184. -184
2x= -4
/2. /2
x=-2
now to find angle A
57+(-2)
55
hopes this helps
please answer this (photo below)
Answer:
Please see attached image for the graph
Step-by-step explanation:
To graph the elevation versus time, we start by plotting the first point at time zero (when the climb begins) when Zane is 20 meters below the edge (-20 meters). This corresponds to the point (0, -20).
One second later (1 in the horizontal axis), Zane has moved up 4 meters, now reaching -16 meters. This is the point (1, -16) on the graph.
One second later at time 2 seconds, he is another 4 meters up which corresponds to the point (2, -12) on the graph.
you can go on like this plotting more points on the graph.
Please see the attached image that illustrates this and shows the appropriate line that represents Zane's position versus time (pictured in red)
Pls help
What is the formula to find the surface area involving area of the base and perimeter of the base.
what is a feature of the crossroad region
Answer:
There were small rural towns and farms everywhere.
Step-by-step explanation:
You asked, I answered.
Hope this helped! :)
An animal shelter has enough pens for x small dogs and y large dogs, and can hold up to 36 dogs at a time. It costs the shelter $12 a week to keep a large dog and $7 a week to keep a small dog. The shelter must keep its weekly costs under $350. Which system of inequalities can be used to represent this situation? x + y < 36 78 + 12y < 350 O I ty > 36 7r + 12y > 350 x + y > 36 7x + 12y > 350 x + y < 36 7x + 12y < 350
x: number of small dogs
y: number of large dogs
The total of dogs is x + y
Can hold up to 36 dogs at a time. The shelter can have less than or equal to 36 dogs:
\(x+y\leq36\)$12/week: large dog
$7/week: small dog
Weekly cost under $350. The sum of 12x
Answer:
x + y ≤ 36
7x + 12y < 350
Step-by-step explanation:
Got it right on Edmentum :)
evaluate the expression when x=2 and y= 2/3 3(x^2+2)-3y
Answer:
53/3
Step-by-step explanation:
3(x^2+2)-3y Evaluate when x = 2 & y = 2/3
3(2² + 2) - 3(2/3)
3(4 + 2) - 3(2/3)
3(6) - 3(2/3)
18 - 3(2/3)
18 - 6/18
18 - 1/3
54/3 - 1/3
53/3
So, the answer is 53/3
18 + 2x < 12 5x + 2 >= -18
we are asked to solve a system of inequalities that reads:
18 + 2 x < 12
5 x + 2 >= - 18
so we solve for x in each one:
18 + 2 x < 12
subtract 18 from boths sides:
2 x < 12 - 18
2 x < - 6
divide by 2 both sides:
x < - 3
5 x + 2 >= - 18
subtract 2 from both sides:
5 x >= - 20
divide both sides by 5:
x >= -4
so this tells us that we want x values larger than or equal to -4 and x values smaller than -3.
So, please allow me to plot these two sections and see if there is an intersection of both sets:. The graphing can take a little time, so please be patient.
Notice that we have highlighted in green the section of the number line with x-values to the RIGHT of -4 (and also including the "-4" point with a "solid dot".
On the other extreme of this segment we see an "empty dot" at the point -3 on the number line. In this case we are NOT including the value "-3" as per the inequality that asks for x numbers strictly smaller than -3 (so to the left of "-3" NOT including "-3" (represented by the empty dot.
So the graph of the compounded inequality is given above, and the mathematical way to express it is:
- 4 <= x < - 3
Mrs jack bought 150 t-shirts for $18,712.50 from a factory she then sold each t-shirt for $199.9.How much for one t - shirt
t practice, Cadesia swims 2 laps every 5 minutes. If she continues to swim at a constant rate, which method could be used to determine the number of minutes it takes her to swim 12 laps?
The time taken by the Cadesia to cover 12 laps is 30 minutes.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Cadesia swims 2 laps every 5 minutes. If she continues to swim at a constant rate.
The time taken by the Cadesia will be calculated as,
2 laps = 5 minutes
1 lap = 5 / 2 minutes
12 lap = (5 x 12 ) / 2
12 lap = 30 minutes
Therefore, the time taken by the Cadesia to cover 12 laps is 30 minutes.
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factor x to the fourth-5x squared+4
Answer:
Work shown below!
Step-by-step explanation:
\(x^{4}-5x^{2} +4\) = \(0\)
\(A\) = \(x^{2}\)
\(A^{2} -5A+4\) = \(0\)
\((A-1)(A-4)\) = \(0\)
\((x^{2}-1)(x^{2} -4) =0\\(x-1)(x+1)(x-2)(x+2)=0\)
x - 1 = 0
Add 1 to both sides;
x = 1
x + 1 = 0
Subtract 1 from both sides;
x = -1
x - 2 = 0
Add 2 to both sides;
x = 2
x + 2 = 0
Subtract 2 from both sides;
x = -2
the larger the variance, the more the data are spread out from the mean. TRUE/FALSE?
The larger the variance, the more the data are spread out from the mean. This statement is true.
Variance is a statistical measure that quantifies how much the data values are spread out or dispersed from the mean (average) of the dataset. Specifically, it is the average of the squared differences between each data point and the mean.
A larger variance means that the data values are more spread out from the mean, because the squared differences between the data points and the mean are larger on average. This indicates that there is greater variability or diversity in the dataset, and the values are more widely distributed.
Conversely, a smaller variance means that the data values are closer together and closer to the mean. This indicates that there is less variability or diversity in the dataset, and the values are more tightly clustered around the mean.
So, in summary, a larger variance indicates that the data values are more spread out from the mean, while a smaller variance indicates that the data values are closer together and closer to the mean.
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please show full step by step explanation, solve number 9 first
Problem N 9
we have that
UW=UV+VW -----> by addition segment postulate
substitute given values
(2x-8)=(x-8)+(12)
solve for x
2x-8=x+4
2x-x=4+8
therefore
The answer is
x=12Complete the table. In the row with X as the input write the rule as an algebraic expression for the output then complete the last row of the table using the rule. Express the values in your answers as decimals
The last two rows of the table should be completed as follows:
Input Output
8 22.80
10 28.50
What is algebraic expression?An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.
The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.
To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.
Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.
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a video is 20 min long. devin made the video faster 2 times. how many minutes and what fraction is the answer?
Answer:
10 minutes. 1/2
Step-by-step explanation:
Answer:
10/20???
Step-by-step explanation:
Please help!! I will give you brainliest!!!
the dependent variable must be _____ in order to conduct an anova.
The dependent variable must be continuous in order to conduct an ANOVA (Analysis of Variance) test.
Let me briefly explain the key terms and reasoning:
Dependent variable:
This is the outcome variable that you are measuring in an experiment or study.
It depends on the independent variable(s), which are the factors you manipulate or observe to determine their effect on the dependent variable.
Continuous variable:
A continuous variable is a numerical variable that can take on an infinite number of values within a given range. Examples include weight, height, and temperature.
ANOVA:
ANOVA is a statistical method used to compare the means of two or more groups to determine if there are significant differences between them.
It evaluates the effect of one or more independent variables on a continuous dependent variable.
To conduct an ANOVA, the dependent variable must be continuous because the test relies on calculating the variance within and between groups.
The variance is a measure of dispersion or spread of the continuous data.
If the dependent variable were not continuous, it would be difficult to quantify the differences between group means, making it impossible to determine if the independent variable(s) had a significant effect.
ANOVA test, the dependent variable must be continuous, allowing for the calculation of variances and comparison of group means to determine any significant differences based on the effect of the independent variable(s).
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Select the correct triangles
Identify the triangles that are right triangles
Answer:
1st and 4th are the right triangles
Taylor works at a garden shop that sells flower pots. One kind of flower pot has a rim height of 6 centimeters and a planting height of 22 centimeters. Taylor begins to stack the flower pots as shown.
The table shows the height of each stack for the given number of flower pots.
Number of Flower Pots, n 1 2 3 4 5
Height of Stack in cm 28 34 40 46 52
Write a simplified algebraic expression to represent the height of a stack of n flower pots.
Answer:
The simplified algebraic expression to represent the height, h, of a stack in cm of n flower pots is h = 6·n + 22
Step-by-step explanation:
The given information are;
The rim height of one kind of flower pot = 6 cm
The planting height of the flower pot = 22 cm
Therefore, the total height of the flower pot = 22 + 6 = 28 cm
Stacking the flower pots of a single kind will give a linear relationship of the form, y = m·x + c between the height of the stack and the number of flower pots in the stack
Where;
m = The slope or the rate of change of the height with the number of flower pots in a stack which can be found from two points in the given table of values
c = The y-intercept or height at the start of the first stack
From the table of values, for the first and the last points, we have;
m = (52 - 28)/(5 - 1) = 24/4 = 6
Which gives;
h - 52 = 6×(n - 5)
h = 6·n - 30 + 52 = 6·n + 22
h = 6·n + 22
Where;
h = The height of stack in cm
n = The number of flower pots
Therefore, by comparing to the general form of the equation of a straight line, y = m·x + c, the y-intercept, c = 22
The simplified algebraic expression to represent the height of a stack of n flower pots is therefore given as h = 6·n + 22.
What are the 7 laws of exponents?
Answer:
1- Product of powers rule.
2- Quotient of powers rule.
3- Power of a power rule.
4- Power of a product rule.
5- Power of a quotient rule.
6- Zero power rule.
7- Negative exponent rule.
Step-by-step explanation:
Hope I helped! ^v^
Solve the system by graphing.
y = -2 + 5
y = x +1
Answer:
graph the equations and locate the intersection.
( 2 , 3 )
Step-by-step explanation:
hope this helps!
Answer:
(x,y)=(2,3)
Step-by-step explanation:
\(\left \{ {{y=-2+5} \atop {y=x+1}} \right.\)
calculate the sum
\(\left \{ {{y=3} \atop {y=x+1}} \right.\)
since both expressions 3 and x+1 are equal to y, set them equal to each other forming an equation in x
3=x+1
solve the equation for X
x=2
The possible solution of the system is the ordered pair (x,y)
(x,y)=(2,3)
Check if the given ordered pair is the solution of the system of equations
\(\left \{ {{3=-2+5} \atop {3=2+1}} \right.\)
simplify the equalities
\(\left \{ {{3=3} \atop {3=3}} \right.\)
since all of the equalities are true, the ordered pair is the solution of the system
(x,y)=(2.3)
A function is defined by f (x) = 6 x + 1.5. What is f(2.5)?
Step-by-step explanation:
6×(2.5)+1.5
15+1.5
16.5
or
f(x)= 6x+1.5
f(2.5)= 6(2.5)+15
f(2.5)=16.5
You're welcome please add me as ur friend and brainiest please
assuming that giving birth to a boy or a girl is equally likely, and further, that no multiple births have occurred, first, determine the probability of a family having three boys in a row. now consider the conjecture (based on empirical data) that, for a family that has already had two boys in a row, the probability of having a third boy is 0.8. under these conditions, what is now the probability of a family having three boys in a row?
Answer:
0.9
Step-by-step explanation:
Find the value of x in the triangle shown below.
8
3
Answer:
The answer should be 8.
Step-by-step explanation:
If the rectangle below is enlarged using a scale factor of 3.5, what will be the PERIMETER of the new rectangle?
Answer: 3.5 x 2 = 7.0
8 x 2 = 16
Step-by-step explanation:
23.0
Write the power 4⁴ in repeated multiplication form. Then find the value of the power.
The power in repeated multiplication form is
The value of the power is
The power in repeated multiplication form of 4⁴ is: 4 × 4 × 4 × 4 = 256.
How to Write a Number in Repeated Multiplication Form?To wrote a number in repeated multiplication form, write the base number multiplied as many times as the stated exponents.
Given the number, 4⁴, we have:
4 × 4 × 4 × 4 = 256.
The value of the power of 4⁴ is: 256.
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Answer:
Step-by-step explanation:
4 x 4 x 4 x 4 = 16 x 16 = 256 is the value
4^4 is the power
Write the phrase as an algebraic expression or equation.
the sum of x and 7
Answer:
x + 7
Step-by-step explanation:
Also Omg hi armyy!!!!!!!!!
Carl has a new job making $8.25 an hour. He worked 16.75 hours last week. He also
had deductions of 6.25% for Social Security and 1.45% for unemployment insurance.
What was Carl's net pay last week (the amount after deductions)?
Answer:
Step-by-step explanation:
Earnings = 16.75 hours × $8.25/hour = $138.1875
Deductions = 6.5% + 1.45% = 7.95%
net = 92.05% of $138.1875 ≈ $127.20
the length of a rectangle is 3m less than double the width, and the area of the rectangle is 14 m^2 . find the dimensions of the rectangle.
The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.
Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.
The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:
(x)(2x - 3) = 14
Expanding the equation:
2x² - 3x = 14
Rearranging the equation to standard form:
2x² - 3x - 14 = 0
To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:
x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))
x = (3 ± √(9 + 112)) / 4
x = (3 ± √121) / 4
x = (3 ± 11) / 4
Simplifying further:
x = (3 + 11) / 4 or x = (3 - 11) / 4
x = 14 / 4 or x = -8 / 4
x = 7/2 or x = -2
Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.
Now, we can substitute the value of x into the expression for the length:
Length = 2x - 3
Length = 2(7/2) - 3
Length = 7 - 3
Length = 4 meters
Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.
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solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
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