[tex] = \sqrt{( {x2 - x1})^{2} + ( {y2 - y1})^{2} } \\ = \sqrt{ (- 1 - 6 )^{2} + ( {14 - 16)}^{2} } \\ = \sqrt{( { - 7)}^{2} + ( { - 2)}^{2} } \\ = \sqrt{49 + 4} \\ = \sqrt{53} [/tex]
ATTACHED IS THE SOLUTION
Solve the following expression when
k = 12 and v = 6
4 + 5 - 4v + 12
1. A percent is found by dividing the percentage by the base. True
or false
It is true but incomplete, a percent is found by dividing the percentage by the base and multiplying it with 100.
What is percentage?
Percentage is a relative value that represents hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Divide the percentage by the quantity to get the percent of a number, then multiply the result by 100. Put the word "percent" (%) after the finished item.
Example of calculation of percentage:
What percent of 10 is 7?
here, 7 is percentage and 10 is quantity, On dividing we get,
7/10 = 0.7
Now multiplying by 100, we get
70 %
This is the answer
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Please answer the question in the photo
Answer:
i got
Step-by-step explanation:
seventy-nine
Sergio Is asked to write one million in scientific notation. He writes 106 and gets it wrong.
Why was he wrong?
O He should have written 106.
O He should have written 10 5.
O He should have written 1 x 10 6.
He should have written 1 × 10 5.
In scientific notation, it should be written as 1 × 10⁶
What is notation?In mathematical notation, operations, unnamed numbers, relations, and any other mathematical objects are represented by symbols that are combined into expressions and formulae. Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 ×10⁸ in scientific notation.
Given Data
Sergio Is asked to write one million in scientific notation. He writes 106 and gets it wrong.
He should have written as 1 × 10⁶
A power of 10 and a number in the range of 1 to 10 are required for standard form.
In scientific notation, it should be written as 1 × 10⁶
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Simplify 9x^2-3x+7/x-2
Answer:
9x³−3x²−2x+7
Step-by-step explanation:
Evaluate c/2 -3 + 6/d when c=14 and d=3
with an explanation if possible :))
Answer:
c/2-3+6/d
=
14/2-3+6/3
= (Order of Operations)
7-3+2
=
6
Step-by-step explanation:
See explanation above
How do I work it out?
Answer:
13/42
Step-by-step explanation:
The directions probably say "Evaluate" or "Substitute and simplify"
They give us values for x and y.
x = 7 and y = 6
Fill in 7 and 6 for x and y.
(x + y) / xy
= (7 + 6) / 7•6
= 13/42
13/42 cannot be simplified.
What is the temperature in the thermometer if it rises by 45°F (a) 65°F (b) - 65°F (c) 20°F (d) 0°F
Using the mathematical operation of addition, the temperature in the thermometer, if it rises by 45°F, is (d) 30°F.
What are mathematical operations?Mathematical operations use operands to combine with numbers and variables in a function so that they can produce results.
Some of the mathematical operations are addition, subtraction, division, and multiplication.
The temperature before the rise = -15°F
The temperature change = +45°F
The temperature after the rise = 30°F (-15°F + 45°F)
Thus, after adding the rise in temperature to the initial temperature, the new temperature in the thermometer is 30°F.
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49 Jessica skated 4 laps in 82 seconds. Which of the following is an equivalent rate of skating??A6 laps in 120 secondsB10 laps in 205 secondsC 6 laps in 130 secondsD10 laps in 215 seconds
ANSWER
B. 10 laps in 205 seconds
EXPLANATION
If we write the rate of laps to seconds as a fraction we have:
[tex]\frac{4}{82}=\frac{2}{41}[/tex]I simplified the fraction and got 2/41. An equivalent rate must give the same simplified fraction. For option B:
[tex]\frac{10}{205}=\frac{2}{41}[/tex]We can reduce both rates to the same rate: 2 laps every 41 seconds. Therefore, these two rates are equivalent.
The table shows interest owed for a home improvement loan based on how long it takes to pay off the loan.
a. How much more interest is owed on $900 for 9 months than 6 months?
b. Does the interest rate increase at a constant rate?
Can you give a long good explanation please? Thank you <3
The $8.78 more interest is owed on $900 for 9 months than 6 months.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
(a)
The formula for simple interest:
I = Prt
I(for 9 months) = 900x(2.9/100)(9/12)
I(for 9 months) = $19.575 = $19.58
I(for 6 months) = 900x(2.4/100)(6/12)
I(for 6 months) = $10.8
Difference = $19.58 - $10.8 = $8.78
(b)
From the table: the interest rate from 6 months to 9 months increases by 0.5% after that it increases constantly.
Thus, the $8.78 more interest is owed on $900 for 9 months than 6 months.
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Divya and Miguel were asked to find an explicit formula for the sequence 80, 40, 20, 10,..... which one of them is right?
The explicit formula for the sequence is aₙ = 80 (0.5)ⁿ⁻¹
Given,
The sequence = 80, 40, 20, 10, ...
We have to find the explicit formula for the above sequence.
Explicit formula for a sequence: aₙ = a₁ (r)ⁿ⁻¹
That is,
a₁ = first term
r = common ratio
Lets check:
The sequence is 80, 40, 20, 10,....
a₁ = 80
a₂ = 40
a₃ = 20
a₄ = 10
Now, lets find the common ratio:
a₂/a₁ = 40/80 = 1/2
a₃/a₂ = 20/40 = 1/2
a₄/a₃ = 10/20 = 1/2
That is, the common ratio, r for the sequence is 1/2 which equals 0.5
Then, the explicit formula for the sequence is aₙ = 80 (0.5)ⁿ⁻¹
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At the beginning of a month, your account balance was $738. During the month,
you withdrew $550, deposited $189, and paid a fee of $10. What was your balance
at the end of the n month?
Answer:
$367
Step-by-step explanation:
738-550+189-10=367
A rectangular carpet measures 10m by 6m. part of the carpet is covered by a square rug of length 2m. what fraction of the carpet is covered by the rug?
Answer: 1/15
Step-by-step explanation:
The area of the entire carpet is [tex](10)(6)=60[/tex] square meters.
The area of the square rug is [tex]2^2=4[/tex] square meters.
So, [tex]\frac{4}{60}=\frac{1}{15}[/tex] of the carpet is covered by the rug.
Answer: 1/15
Step-by-step explanation: The area of the entire carpet is square meters.
The area of the square rug is square meters.
So, of the carpet is covered by the rug.
Find the difference of the polynomials. Write the result in standard form.
(33r3s3-16rt7+72s5t2) - (24rt7 - 18s5+2 – 47r³s3)
A 8rt7+90s5t2 +80r3s3
B-40rt7 +54s5t2 -14r3s3
C 8rt7+54s5t2 -14r3s3
D-40rt7+90s5t2 +80r3s3
The difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The given expression is (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³). The difference will be calculated as follows:-
Difference = (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³).
Separate the like terms in the polynomial and solve accordingly.
Difference = (33r³s³+ 47r³s³-16rt⁷- 24rt⁷+72s⁵t²+ 18s⁵t² ).
Difference = 80r³s³- 40rt⁷+ 90s⁵t²
Therefore, the difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.
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Majid can walk at spped of 6km/h. How far can he walk in 30 min.
( Give me steps please )
Answer: 3 km
Step-by-step explanation: (included in picture) the 0.5 represents 30 minutes because 30 minutes is 0.5 of an hour. the x represents how far Majid can walk in 30 minutes
f(x)=x^2
g(x)=−x^2+7
h(x)=(x−6)2
p(x)=(x−2)2−9
q(x)=x^2+12
Answer:
Step-by-step explanation:
interval notation is (-∞,∞)
set-builder notation is {x|x ∈ R}
ASAP PLEASE!! The points H, I, J and K all lie on the same line segment, in that order, such that the
ratio of HI: IJ: JK is equal to 1: 3: 1. If HK = 25, find HJ.
The value of HJ in the line segment = 20
How to find the value of HJ?
Points H, I, J, K lie on the same line segment in order.
HI : IJ : JK = 1: 3: 1
HK = 25
Let us consider the ratios,
Let H I = x
Let IJ = 3x
Let JK = x
⇒In the line segment,
HK = HI+ IJ+ JK
25 = x +3x +x
25 = 5x
x = 5
⇒In the line segment,
HJ = HI +IJ
HI = x
IJ = 3x
HJ = HI +IJ
= x + 3x
= 4x
= 4*5
HJ = 20
What is a line segment?
An area of a line that can connect two points is known as a line segment. Any portion of a line with two endpoints is referred to as a line segment. A line segment has a set length as opposed to a line.Both metric measurements, such as milli meters and centimeters, as well as conventional units, such as feet or inches, can be used to measure the length of a line segment.To learn more about line segments, refer:
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g(n)=2n
h(n)=n^2-4
Find g(-9) + h(-9)
A) 4
B) 59
C) 20
D) 95
Answer:
g(-9)+h(-9)=59
the answer is B
Fifth graders at a school write a paper about a historical person for a contest. There are $5$ classes of $25$ students and $1$ class of $28$ students participating in the contest. Use the expression $5\times25+28$ to find how many students participate in the contest.
A school's fifth graders prepare a paper about a historical figure for a contest. The total number of students who participated in the contest is 153.
Given that,
A school's fifth graders prepare a paper about a historical figure for a contest.
The contest is being competed in by $5 classes of $25 students and $1 classes of $28 students.
We have to calculate the number of students who enter the contest.
We get
=5×25+1×28
Multiply the terms
=125+28
Adding the terms
=153
Therefore, the total number of students who participated in the contest is 153.
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if i had 5 divided by 1 + 5 on evaluating expressions......what would the answer be?
Answer:
[tex]\frac{5}{1+5}[/tex]
Step-by-step explanation:
Hope this helps :))
1. Evaluate the expression. Give your answer as a mixed number in simplest form.
11/12 + 5/6
Answer: 1 3/4
Step-by-step explanation:
1. find common denominator
11/12+10/12=21/12
2. simplify
21/12=7/4= 1 3/4
Here is some information about a heating oil tank.
Top Outlet Tank
Height (h): 2550 mm
Diameter (d): 2100mm
Mass: 650kg
(b) Work out the volume, in cubic metres, of the tank.
The volume of the tank is 15315.35
What is volume?Volume is a measurement of three-dimensional space that is occupied. [1] Numerous imperial units or SI-derived units, such as the cubic meter and liter, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up.
Given that,
Top Outlet Tank
Height (h): 2550 mm
Diameter (d): 2100mm
radius (r) : 2.1/2
Mass: 650kg
The volume, in cubic metres, of the tank is
volume of tank = 2π + π[tex]r^{2} h[/tex]
= 2π(1100) + π(2.1/2)(2550)
= 2(3.14)1100+ (3.14)(2.1/2)(2550)
= 6908+ 8407.35
= 15315.35
Therefore, the volume of the tank is 15315.35
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What 685,203 rounded to the nearest ten , hundred , thousand, ten ten thousand and, hundred thousand
Answer:
685200 is ten and hundred 685000 thousand 690000 ten thousand 700000 hundred thousand
Vote me for the president of America here’s why -I would be the first female president of u.s -I will Ban all pick me’s who whisper about you when you’re right in front of them and try’s to be better than you -Give all homeless animals good shelter -ban emos - less money for gas -overall better Vote me
Answer:
Lmafo
Step-by-step explanation:
Three students were scheduled to give book reports in 1 hour.
After the first report, 2/3 hour remained (HINT: this means the first persons' report was 1/3 of an hour)
The next report took 1/6 hour. What fraction remained?
When we add or subtract fractions, we always have to make sure that all the fractions involved have a common denominator.
Solving the Question
We're given:
After the first report, [tex]\dfrac{2}{3}[/tex] hours remainedThe second report took [tex]\dfrac{1}{6}[/tex] hours remainedTo find the fraction representing the remaining time, subtract [tex]\dfrac{1}{6}[/tex] from [tex]\dfrac{2}{3}[/tex]:
[tex]\dfrac{2}{3}-\dfrac{1}{6}[/tex]
⇒ Make both denominators the same; multiply [tex]\dfrac{2}{3}[/tex] by [tex]\dfrac{2}{2}[/tex] to change its denominator to 6:
[tex]= \dfrac{4}{6}-\dfrac{1}{6}\\\\= \dfrac{3}{6}[/tex]
⇒ Simplify the fraction:
[tex]= \dfrac{1}{2}[/tex]
Therefore, [tex]\dfrac{1}{2}[/tex] the hour remained.
Answer[tex]\dfrac{1}{2}[/tex] the hour remained
Thanks for all the help
Answer:
x=4.4
Step-by-step explanation:
To get from 4 to 10 what happens?
Well, we multiply 4 by 2.5.
That should be the same for x.
Thus, 2.5x=11
x=4.4
when determining the maximum and minimum, why must the test point be in the feasible region
The constraints of a linear programming issue must all be concurrently satisfied for a solution to be viable. We are aware that the ideal solution must maximize the value of the goal function and be located at one of the corners of the feasible region.
What is a feasible and optimal solution?All of the constraints on the problem are met by a feasible solution. A feasible answer that, when maximized, yields the highest possible value for the objective function is known as an optimum solution (or smallest when minimizing). A linear program with two variables can be solved using a visual solution method.
A fundamental feasible solution (BFS), according to the theory of linear programming, is a solution with a small number of non-zero variables. Each viable solution polyhedron's corner correlates geometrically to a BFS. There must be an optimal BFS if there is an optimal solution. Therefore, taking into account the BFS-s is adequate to arrive at an ideal solution. The simplex algorithm, which effectively moves from one BFS to another until one is found that is optimal, makes use of this property.
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Please help me with this pls
Answer:
thw answer is 67.910
Step-by-step explanation:
the second one
Answer:
#2
Step-by-step explanation:
the four answers start with 67. So if you focus on the digits that come after the decimal, which ever digits are higher than the original decimal will be your answer
Write an equation of the line passing through point P(-1,-4) that is parallel to
y = -6x + 8
The equation of the line passing through point P(-1,-4) that is parallel to y = -6x + 8 is y = -6x - 10.
What is a straight line?A straight line is made up of an infinite number of points connected at their ends.
Any straight line's slope, "m," is determined by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line y = -6x + 8
m = -6
The slope of the line passing point P (-1,-4)
M = -6
y - (-4) = -6(x - (-1))
y + 4 = -6(x + 1)
y = -6x - 10
Thus, the equation of the line passing through point P(-1,-4) that is parallel to y = -6x + 8 is y = -6x - 10.
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Calculate the mean to the following data set.
7, 13, 6, 2
Answer: 7
Step-by-step explanation: 7 + 13 = 20
20 + 6 = 26
26 + 2 = 28
28/4 = 7
Answer:
Mean = 7
Step-by-step explanation:
[tex]\boxed{\sf Mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}}[/tex]
Given data set: 7, 13, 6, 2
Therefore:
[tex]\implies \sf Mean=\dfrac{\textsf{7+13+6+2}}{4}=\dfrac{28}{4}=7[/tex]