Answer:
the extension is 540 miles long
Step-by-step explanation:
I-10=2460
2460+x=3000
subtract 2460 from both sides
x=540
the extension is 540 miles long
uijuguiobhj,mn,mgvplsssss
Step-by-step explanation:
adding 93 to itself 6 times
dividing 558 by 6
Answer:
3
Step-by-step explanation:
What are the correct answers?
Answer:
It has only one answer which is 'The decimal is non-terminating'
The number ends in the hundredths place.
2 is the nearest one when rounding
When the number ends in the hundredths place and 2 is the nearest one when rounding, the number is 4.26.
How to illustrate the information?It should be noted that from the information, the number ends in the hundredths place and 2 is the nearest one when rounding.
Therefore, the number will be:
4.26
Therefore, when the number ends in the hundredths place and 2 is the nearest one when rounding, the number is 4.26
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Drag the numbers to match the rule
The number ends in the hundredths place.
2 is the nearest one when rounding
4,2, 6, decimal (.).
How do I simplify this?
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{1}{\sqrt{1} +\sqrt{2} } =\dfrac{\sqrt{2} -\sqrt{1}}{(\sqrt{2} +\sqrt{1})*(\sqrt{2} -\sqrt{1}) } =\dfrac{\sqrt{2} -1}{2-1} =\sqrt{2} -1\\\\\dfrac{1}{\sqrt{2} +\sqrt{3} } =\dfrac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})*(\sqrt{3} -\sqrt{2}) } =\dfrac{\sqrt{3} -\sqrt{2}}{3-2} =\sqrt{3} -\sqrt{2}\\\\\\\dfrac{1}{\sqrt{n-1} +\sqrt{n} } =\dfrac{\sqrt{n} -\sqrt{n-1}}{(\sqrt{n} +\sqrt{n-1})*(\sqrt{n} -\sqrt{n-1}) }=\sqrt{n} -\sqrt{n-1}\\\\[/tex]
[tex]\\\dfrac{1}{\sqrt{1} +\sqrt{2} } +\dfrac{1}{\sqrt{2} +\sqrt{3} } +...+\dfrac{1}{\sqrt{n-1} +\sqrt{n} } =\boxed{\sqrt{n} -1}\\[/tex]
Parallelogram+RSTU+is+rotated+180°+clockwise+about+the+origin.+How+many+pairs+of+parallel+sides+ Does the rotated figure have
RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.
Given that, parallelogram RSTU is rotated 180° clockwise about the origin.
We need to find how many pairs of parallel sides the rotated figure has.
What is the rotation of 180°?Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in an anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
The given transformation was performed on parallelogram RSTU = 180° clockwise rotation.
Given that a rotation is a form of rigid transformation, the shape and size of the preimage RSTU will be equal to the shape and size of the image R'S'T'U'.
Therefore, RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.
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Your question is incomplete, probably the complete question/missing part is:
Parallelogram RSTU is rotated 180° clockwise about the origin. How many pairs of parallel sides does the rotated figure have?
1.2 x (-5) =
I had -60 but it says the answer was incorrect and I’m not sure what I’m doing wrong. Any explanation on what I’m doing wrong?
Answer: -6, not 60
Step-by-step explanation:
Negative+Positive=Negative
Positive+Positive=Negative
Negative+Negative=Positive
Pls help!!
Write and solve the problem. Type your answer into the answer box. -2 2/3 + 1 4/5
Answer: If i did it right it should be -0.866
Step-by-step explanation:
the sum of a number and three is forty-one find the number
Answer:
38
Step-by-step explanation:
38+3=41
thats the answer
brainliest please
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
(0,6)
(0,–6)
(6,0)
(–6,0)
Answer:
( -6 , 0 )
Step-by-step explanation:
the other one would be ( 3 , 0 ) but hope this helps !!
The account balance of each of three children at the end of a month is shown below:
Kyle has −$2.25
Jason has −$2.00
Sue has as much savings in her account as the amount Kyle owes the bank.
Part A: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points)
Part B: Determine whether Kyle or Jason owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)
The drawing of the number line representing the bank balances is attached below . Kyle owes the bank more money than Jason.
The number line a physical representation of all real numbers. A number line is basically a graph of all real numbers. A number line is a representation of a graduated straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
On the number line all the values of the bank balances of the 3 siblings are given.
Kyle owes the bank $2.25 , therefore Sue has $2.25 in her bank account.
Now we can see in the number line that -2.25 is to the left of -2.0 ,
therefore we can say that:
|-2.25| > |-2.00|
as the absolute value of the given balance .
But -2.25 < -2.00
Hence Kyle owes more money to the bank as represented on the number line.
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Please help me, I need it right now
Answer:
Step-by-step explanation:
instead x in f(x) we put g(x) in it.
f(g(x))= 3(7x-3)+1
=21x - 9 +1= 21x -8
what is the measure of angle COW?
Answer: c: 52
Step-by-step explanation:
the angles are congruent as shown by the hashmarks in the arks so you just need to double it
Answer:
c. 52°
Step-by-step explanation:
Since part of the angle is given (26°) and both parts of the angle are equal. 26° + 26° = 52°
how to sketch a plot of the line x=−1 .
Answer:
See explanation
Step-by-step explanation:
What are the coordinates of the y intercept of the function y=|3x-10|+1
Answer: (0,11)
Step-by-step explanation:
The y-intercept is when x is equal to 0, so we can just plug that into get the y-coordinate.
y = |3x - 10| + 1
y = |-10| + 1
y = 10 + 1
y = 11
I need help to answer this question please 3(4x−1)=21
Answer: x=1.75
Step-by-step explanation:
Multiply: 12x-3=21
Subtract: 12x=21
Divide: 21/12= 1.75
Final Answer: X = 1.75
Which function has the following domain and range?
Domian {-12, -7, 0, 4, 12}
Range { 0, 1, 2}
A) {(-12, 12), (0,2)}
B) (0,4), (2,12), (1,-7), (0,-12), (1,0)}
C) {(-12,0), (-7,1), (0,2), (-4,5), (3,-1)}
D) {(4,1), (-7,0), (12,2), (0,0), (-12,1)}
D. The function {(4,1), (-7,0), (-12,2), (0,0), (-12,1)} has the given domain {-12, -7, 0, 4, 12} and range { 0, 1, 2}.
What is domain and range ?The domain is the set of all inputs which has an output or range.The range of a function is the set of all outputs form which the domain is defied.
According to the given question domain and range of a function are given they are { -12, -7, 0, 4, 12 } and { 0, 1, 2 }.
This can be written an an ordered pair as { (-12,0), (-12,1), (-12,2), (-7,0), (-7,1), (-7,2), (0,0), (0,1), (0,2), (4,0), (4,1), (4,2), (12,0), (12,1), (12,2) }.
From the given options we can observe that in option D. which has ordered pairs { (4,1), (-7,0), (-12,2), (0,0), (-12,1) }.
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(7 x 10^7) divide (2 x 10^5)
Answer:350
Step-by-step explanation:
(7 x 10^7)/(2 x 10^5)=350
70000000/200000=350
Please explain what are integers?
Answer:
: integers
1.
a number which is not a fraction; a whole number.
The graph of the function f(x) = (x + 2)(x + 6) is shown below.
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is positive for all real values of x where
x > –4.
The function is negative for all real values of x where
–6 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.
The correct statement regarding the graph of the function f(x) = (x + 2)(x + 6) is given by:
The function is negative for all real values of x where -6 < x < -2.
What is the missing information?The graph of the function f(x) = (x + 2)(x + 6) is missing, and is given at the end of the answer.
When a function is positive and when it is negative?We have to look at the graph of the function relative to the x-axis, as follows:
A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.Hence, for function f(x) = (x + 2)(x + 6), we have that:
It is positive for x < -6 and x > -2.It is negative for -6 < x < -2.Hence the correct statement for the signal of the function is given as follows:
The function is negative for all real values of x where -6 < x < -2.
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Create an equivalent expression for 9−7 • 95.
−9^2
one over nine raised to the second power
one over nine raised to the power of negative two
9^2
The equivalent expression of 9^-7 * 9^5 is 1/9^2
How to create an equivalent expression?The expression is given as
9^-7 * 9^5
Apply the law of indices.
So, we have
9^-7 * 9^5 = 9^(-7 + 5)
Evaluate the sum
9^-7 * 9^5 = 9^-2
Rewrite as
9^-7 * 9^5 = 1/9^2
Hence, the equivalent expression of 9^-7 * 9^5 is 1/9^2
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a company sold yogurt in 120 g pots and one-eight of the content of the pots was chopped fruit, it is then decided to make the pots of yogurt 2/3 of their original weight with 1/5 fruit. will the company use more or less fruit per new design?
Answer:
More fruit for the new design.
Step-by-step explanation:
120 times 2/3 is 80.
1/5 of 80 is 16.
1/8 of 120 is 15.
15 < 16, so the second design has more fruit.
As an introduction to probability, a student is asked to roll
a fair, six-sided number cube seven times. The results of
those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
What is the range of the data?
01
1.53
4
5
Answer:
Step-by-step explanation:
Based on the calculations, the IQR of this data is equal to 2.
How to determine the IQR of this data?
IQR is an acronym for interquartile range and it is a measure of the middle 50% of data values when they are ordered from lowest to highest.
Next, we would order the data from lowest to highest and then determine the median as follows:
Data = {1, 4, 4,} 4, {4, 6, 5}
Median = 4.
For Q₁ of the lower half of the data, we have:
Lower half = {1, 4, 4,}
Q₁ = 4.
For Q₃ of the upper half of the data, we have:
Upper half = {4, 6, 5}
Q₃ = 6.
Mathematically, IQR is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):
IQR = Q₃ - Q₁
IQR = 6 - 4
IQR = 2.
Answer by
Lanuel
The results of those seven rolls that are shown shows that the range is 5.
What is range?The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data.
Given that a six-sided die is rolled 7 times, to give 1, 4, 4, 4, 4, 6, 5, we need to find the range,
The numbers that are gotten include:
1, 4, 4, 4, 4, 6, 5.
It should be noted that range is calculated as:
R = Highest value - Lowest value
R = 6 - 1
R= 5
Therefore, the range from the numbers given is 5.
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A student takes out 2 loans to pay for college. One loan at 9% interest and the other at 12% interest.
The total amount borrowed is $65,000, and the interest after 1 year for both loans is $6,360.
Find the amount of each loan.
The loan amount at 9% interest is $48,000.
The loan amount at 12% interest is $17,000
What are the loan amounts?The first step is to form a system of equations that can be used to determine the required values:
0.09a + 0.12b = $6,360 equation 1
a + b = $65,000 equation 2
Where:
a = amount of the loan at 9% interest
b = amount of the loan at 12% interest
What is each loan amount?Multiply equation 2 by 0.09
0.09a + 0.09b = 5850 equation 3
Subtract equation 3 from equation 2
0.03b = 510
Divide both sides of the equation by 0.03
b = 510 / 0.03
b = $17,000
Subtract 17,000 from 65,000
a = 65,000 - 17,000
a = $48,000
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Which linear equation shows a proportional relationship?
y equals negative 2 times x minus one third
y equals one third times x minus 1
y equals five sixths times x
y equals 5 times x plus 3
The proportional relation is the third one.
y = (5/6)*x
Which linear equation shows a proportional relationship?A general linear equation in the point-slope form is written as:
y = a*x + b
Where the a is the slope, and b is the y-intercept.
Particularly, a proportional relation is a linear equation where the y-intercept is equal to zero
y = a*x
And in this case, the slope is also called a constant of proportionality.
Then from the given options, the one that is a proportional relation is:
y = (5/6)*x
Which is the third option, counting from the top.
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Find the perimeter or circumference and area of each figure if each unit on the
graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
The perimeter or circumference and area of each figure if each unit on the graph measures 1 centimeter is 18.
The area of a circle is π[tex]r^2[/tex]
The area of a triangle is 1/2×base×height
The area of the rectangle is length×breadth
The perimeter of a circle is 2πr
so, Area of Triangle =1/2×b×h
1/2×4×9=18
A rectangle is a quadrilateral with all angles equal and opposing sides equal and parallel. There are numerous rectangular items all around us. Each rectangle shape has two dimensions: length and breadth. The length of the rectangle is known as the length, while the width is known as the width.
A rectangle is a closed two-dimensional shape with four sides. A rectangle's opposite sides are equal and parallel, and all of its angles are 90°. Examine the rectangle below to observe its form, sides, and angles.
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Find the Distance between the two points . (2,5) and (-4,7).
Answer:
6.32
Step-by-step explanation:
They gave you everything you need in the question - just plug the x and y values in where they showed you. (2, 5) is your (x1, y1) and (-4, 7) is your (x2, y2)
10. You're conducting a vertical jump test on your athletes. This individual just broke the school record
(woohoo!) and achieved a height of 40 inches (1.016m). Calculate their 1) initial velocity and 2) flight time.
1.016m
The jump of the athlete to 40 inches, (1.016 m) is obtained using an initial velocity and time calculated as follows;
1) The initial velocity of the athlete is approximately 4.475 m/s
2) The time of flight which is the time to reach 40 inches and back is approximately 0.91 seconds
Which equation can be used to calculate the velocity and time of the motion?The height achieved by the athlete, h = 40 inches
40 inches = 1.016 mRequired;
1) The initial velocity
Solution;
From the kinematic equation of motion, for a free fall, we have;
v² = u² - 2•g•hWhere;
v = The velocity at the final point = 0 (The athlete stops upward motion at the 1.016 m height and starts downward motion
u = The initial velocity
g = Acceleration due to gravity ≈ 9.81 m/s²
h = The height = 1.016 m
Which gives;
0² = u² - 2 × 9.81 × 1.016
u² = 2 × 9.81 × 1.016 ≈ 19.93392
u = √(19.93392) ≈ 4.465
The initial velocity of the athlete, u, is approximately 4.465 m/s2) The flight time;
The flight time can be found using the equation;
v = u - g•tWhich gives;
t = (u - v)/g
Where;
t = The time taken to reach maximum height.
Therefore;
t ≈ (4.465 - 0)/9.81 ≈ 0.455
The time taken to reach the record height is the same as the time to land back on the ground, which gives;
Time of flight = t + t = 2•t
The time of flight ≈ 2 × 0.445 ≈ 0.910
The time of flight is approximately 0.91 seconds.
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Plot the inequality on the number line.
x≤1 or x>8
The attached graph represents the graph of the inequality x ≤ 1 or x > 8
What are inequality expressions?Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
How to plot the inequality on the number line?The inequality expression is given as
x ≤ 1 or x > 8
When an inequality is represented with < or >, then we make use of the open circle to represent the inequality.
Otherwise, we make use of the closed circle to represent the inequality.
Using the above as a guide, we have the following representations:
x ≤ 1 -> Closed circle
x > 8 -> Open circle
See attachment for the graph of the inequality
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Write the Write the rational number -3.5
using quotients of the form
. Use the integers below.rational number using quotients of the form . Use the integers below.
The quotient form of given rational number is -7/2.
Given the rational number is -3.5.
Here, we want to write the quotient form of the given rational number.
rational numbers, in arithmetic, a number that can be expressed as the quotient p/q of two integers such that q ≠ 0.
Number 3.5 is a rational number. As we know rational numbers can also be expressed as decimals with repeating digits after the decimal point. The number7/2 is the ratio of two integers that are 7 integers divided by 2 integers and expressed in fraction (as p/q where q is not equal to 0).
Hence, the quotient form of the given rational number -3.5 is -7/2.
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What is 333 divided by 666
Answer:
333 ÷ 666 = 0.5
Step-by-step explanation:
Hope it helps!!! :)
Answer: 0.5
Step-by-step explanation:
