Answer:
perimeter is 12x-6
Step-by-step explanation:
perimeter is the sum of all sides
3(x+2) + 2x+11 + 7x-23
distribute the 3 in the first term, then combine 'like terms'
3x+6 + 2x+11 + 7x-23
3x+2x+7x + 6+11+(-23)
12x-6
Answer:
\(2x + 11 + 3x + 6 + 7x - 23\)
\(12x - 6\)
Step-by-step explanation:
The answer is 12x - 6 because you the add all the sides together for the perimeters.
Which expression can go in the blank to make the equation true?
-4.5 + 4.4 + = 0
A. -6.7 + 6.8 B. -6.7 + ( - 6.6) C. 7.2 + ( -7.2) D. 7.2 + (-7.3)
we have -4.5 + 4.4 + x = 0
<=> -0.1 + x = 0
<=> x = 0.1 ( P/s: x is the answer to fill in the blank )
Now look in the answer below we have :
+) A. -6.7 + 6.8 = 0.1 (S)
+) B. -6.7 +(-6.6) = -13.3 (NS)
+) C. 7.2 + (-7.2) = 0 (NS)
+) D. 7.2 + (-7.3) = -0.1 (NS) ( P/s: NS : not selected , S : selected )
So A is the correct answer
Ok done. Thank to me :>
Answer:it is D
Step-by-step explanation:
Select all the correct answers.
63. 26
Which expressions are equal to
23 ?
Answer: The first option and the third option
Step-by-step explanation: You are not supposed to find something equivalent to the fraction, you have to divide the fraction.
13824 ÷ 8 = 1728
Then it is when you try to find a number equivalent to 1728. 12 to the power of 3 equals 1728
12×12=144
144×12=1728
12 to the power of 3 is equivalent to 1728
These are wrong: 2 to the power of three is unequivalent and so is 12 to the power of 6 and 6 to the power of 3
2 to the power of 6 is 64
2×2=4
4×2=8
8×2=16
16×2=32
32×2=64
3 to the power of 3 is 27
3×3=9
9×3=27
64 times 27 equals 1728 so it's equivalent and that means that our answers are A, the 1st option , and C, the 3rd option
The equivalent expression will be;
⇒ 12³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 6³ × 2⁶ / 2³
Now,
Since, The expression is,
⇒ 6³ × 2⁶ / 2³
Solve as;
⇒ 6³ × 2⁶ × 2⁻³
⇒ 6³ × 2⁶⁻³
⇒ 6³ × 2³
⇒ (6 × 2)³
⇒ 12³
Thus, We get;
⇒ 6³ × 2⁶ / 2³ = 12³
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Leg = 11 meters, Hypotenuse = 15 meters
Answer:
10.19
Step-by-step explanation:
Use the Pythagorean Theorem:
\(a^{2}+b^{2}=c^{2}\)
Substitute the numbers given:
\(11^{2}+b^{2}=15^{2}\)
\(121+b^{2}=225\\ b^{2}=225-121\\ b^{2}=104\\ \sqrt b^{2}= \sqrt{104} \\ b=10.19\)
One leg of a right triangle has a length of 5m. The other sides have lengths that are consecutive integers. Find these lengths.
The lengths of the other two sides of the right triangle are 12 and 13
Pythagorean theoremFrom the question, we are to determine the lengths of the other sides of the triangle
From the given information,
The other sides have lengths that are consecutive integers
Thus,
If the length of the other side is x
Then,
The hypotenuse will be x + 1
By the Pythagorean theorem, we can write that
(x+1)² = x² + 5²
(x+1)(x+1) = x² + 25
x² + x + x + 1 = x² + 25
x² - x² + x + x = 25 - 1
2x = 24
x = 24/2
x = 12
∴ The other leg of the right triangle is 12
Hypotenuse = x + 1 = 12 + 1 = 13
Hence, the lengths of the other two sides are 12 and 13
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A biologist puts an initial population of 500 bacteria into a growth plate. The population is expected to double every 4 hours. Write the equation that will give the expected number of bacteria, n, after x days. (24 hours = 1 day)
Answer:
\(n = 500e^{-4.1589x}\)
Step-by-step explanation:
Using the exponential growth equation \(N(t) = N_0e^{-kt}\) where;
N₀ is the initial population of the bacteria
N(t) is the population of the bacteria during time t
If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0
\(N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500\)
If the population is expected to double every 4 hours, this means when t = 4, N₀ = 2(500) = 1000
\(N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733\)
The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours
\(N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}\)
Hence the equation that will give the expected number of bacteria, n, after x days is \(n = 500e^{-4.1589x}\)
Type the symbol in the box. 8 /10_ 80/100
Answer:
They are equivalent because they both equal .8 no matter what
Step-by-step explanation:
\(\rm The\; \bold {answer}\; is\; the \; expresion \;\;\;\dfrac{8}{10} = \dfrac {80}{100}\)
What is a mathematical expression ?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
A math expression is different from a math equation. An equation will always use an equal (=) operator between two math expressions.
Expression is (Number/variable, Math Operator, Number/variable)
Here in the given question The left hand side can be simplified to
0.8 and the right hand side can also be simplified to 0.8.
Therefore
\(\rm \dfrac{8}{10}\;\;\;\;\bold{ \underline{=}} \;\;\;\;\dfrac {80}{100}\)
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How much does the state spend in tax dollars altogether?
a. 20 million dollars
b. 12 million dollars
c. 24 million dollars
d. 48 million dollars
Answer:
24 mill
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
let a represent the average value of the function f(x) on the interval [0.6]. is there a value of c for which the average value of f(x) on the interval [0. c] is greater than a? explain why or why
The average value of a function f(x) on an interval [0, 6] is represented by 'a'. To determine if there is a value 'c' for which the average value of f(x) on the interval [0, c] is greater than 'a', we need to consider the properties of the function and the Mean Value Theorem.
The Mean Value Theorem states that if a function f(x) is continuous on the interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point 'c' in the interval (a, b) such that the average rate of change equals the instantaneous rate of change or f'(c) = (f(b) - f(a)) / (b - a).
Without more information about the function f(x), we cannot definitively say whether there is a value 'c' for which the average value of f(x) on the interval [0, c] is greater than the average value on the interval [0, 6]. However, if the function meets the conditions of the Mean Value Theorem, it is possible that such a value 'c' exists.
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Which of the following is the solution of the quadratic equation xଶ 3x − 10 0?
The solutions of the quadratic equation x^2 + 3x - 10 = 0 are x = 4 and x = -1.
The solution of the quadratic equation x^2 + 3x - 10 = 0 can be found by using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Where (a, b, and c) are 1, 3, and -10
So, the solutions of the equation x^2 + 3x - 10 = 0 are:
x = (-3 ± √(3^2 - 4(1)(-10)) ) / 2(1)
x = (-3 ± √(9 + 40)) / 2
x = (-3 ± √49) / 2
x = (-3 ± 7) / 2
x = (4, -1)
Complete question:
Which of the following is the solution of the quadratic equation x^2 - 3x − 10 = 0?
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How will the solution of the system y > 2x two-thirds and y < 2x one-third change if the inequality sign on both inequalities is reversed to y < 2x two-thirds and y > 2x one-third?
Changing the inequality signs would ensure that the signs on the solution would also be reversed
How to determine the true statement?The system of inequality is given as:
\(y > 2x + \frac 23\)
\(y < 2x + \frac 13\)
When the inequality signs are reversed, we have the following system of equations
\(y < 2x + \frac 23\)
\(y > 2x + \frac 13\)
Changing the inequality signs would ensure that the opposite region of the initial system of inequality is shaded, and the signs on the solution would also be reversed
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WILL GIVE BRAINLIEST IF ANSWERED PROPERLY AND POINTS, WILL REPORT IF U SPAM
Answer:
Step-by-step explanation:
\(\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}\)
Answer: Basically, bottom is first. The top is second, and the middle one is last.
Step-by-step explanation:
1. Super Duper Easy, first, subtract ax, making it by = c - ax
2. Then, divide b , so by/b = c/b - ax/b
3. Becoming y = c/b - ax/b
Can someone please help me with this question
Step-by-step explanation:
please mark me as brainlest
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$) [asy] unitsize(1.5 cm); draw((0,0)--dir(60)--(1,0)); draw((0,0)--(1,0)); draw((0,0)--dir(-60)--(1,0)); label("$A$", (0,0), W); label("$B$", (1,0), E); [/asy]
Answer:
There are $\boxed{3}$ paths from $A$ to $B.$
Please help me solve this!!
Answer:
x=10,6
Step-by-step explanation:
Can someone please help with this!
mathpapa should n could help
Answer: 16.48486
Step-by-step explanation:
tan(70°) = x/6
x = 6tan(70°)
x = 16.48486
true or false: if event A is eating a red candy from a new bag of Skittles and Event B is pulling a second skittle from the same bag that is also red, event a and event b are dependent
Answer:
true
Step-by-step explanation:
convert million gallons per day to cubic feet per second
The flow rate of 5 MGD is equivalent to 7.73615 cfs
To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.
Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:
5 MGD x 1.54723 cfs/MGD = 7.73615 cfs
So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.
It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.
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The width of a rectangle measures (9h 1) centimeters, and its length measures
(2h – 4) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
0-2 + 8h
0-10 + 22h
Submit Answer
16h - 4
0-5 + 11h
Answer:
(22h - 8) centimeters
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
= 2{(9h - 1) + (2h - 4)}
= 2(9h - 1 + 2h - 4)
= 2(11h - 4)
= (22h - 8) centimeters
Plz, Help me with this question.
Answer:
first option
Step-by-step explanation:
Given
area = 15x - 9 ← factor out 3 from each term
= 3(5x - 3)
Thus the dimensions are 3 by (5x - 3)
find n in
60/66=n/22
Answer:
20
Step-by-step explanation:
TO find the answer, use multiplication.
When one part of a fraction multiplies, you multiply the other number with it. 22x3 is 66, so divide 60 by 3. You get 20. n=20. Hope it helps.
You can use ratio. 60:66 is n:22. 22 goes into 66 3 times, and 20 goes into 60 3 times too, so 20:22 is equivalent to 60:66
(please give brainliest)
n=20
I used cross multiplication
In Triangle JKL, ∠J is congruent to ∠L.
The measure of ∠L in Triangle JKL is 56.1 degrees.
What is the measures in triangles?In geometry, the measures in triangles refer to the angles and sides within a triangle. Triangles are three-sided polygons, and the measures of their angles and sides are important properties that determine their shape and characteristics.
In a triangle, the sum of the measures of all three angles is always 180 degrees. Therefore, to find the measure of ∠L in Triangle JKL, we can use the information given:
∠J is congruent to ∠L, which means they have the same measure.
∠K is given as 67.8 degrees.
Since ∠J is congruent to ∠L, we can denote their measure as "x".
So, the sum of the measures of ∠J, ∠K, and ∠L is 180 degrees:
∠J + ∠K + ∠L = 180
Substituting the given values:
x + 67.8 + x = 180
Simplifying the equation:
2x + 67.8 = 180
Subtracting 67.8 from both sides:
2x = 180 - 67.8
2x = 112.2
Dividing both sides by 2:
x = 112.2 / 2
x = 56.1
Hence, the measure of ∠L in Triangle JKL is 56.1 degrees.
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The Law of Sines says that for a given triangle, _____.the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different
The Law of Sines says that for a given triangle, the ratio between the sine of an angle and the length of the opposite side is the same for all three angles in a triangle. the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different
In a triangle, we have three angles and three sides. The Law of Sines says that for any triangle, the ratio between the sine of an angle and the length of the opposite side will be the same for all three angles. In other words, the sine values of each angle are proportional to the length of the opposite side.
To put this in mathematical terms, let's consider a triangle with angles A, B, and C, and sides a, b, and c respectively. The Law of Sines can be written as:
sin(A)/a = sin(B)/b = sin(C)/c
This means that if we know the length of any two sides and the measure of the angle opposite one of those sides, we can use the Law of Sines to find the measure of the other angles and sides.
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{4x − 3y = −32x + 6y = −4 Solve the system of equations.
Input your answer as a point.
Otherwise, enter "No solution" or "Infinite number of solutions.
Answer:
Sorry I don't know that one
sales for the dress department last year were $82,000. the manager for the department plans an increase of 12.5or this year. what is this year's projected sales volume?
Sales for the dress department last year were $82,000. The manager for the department plans an increase of 12.5% this year. So, the projected sales volume for this year is $92,250.
To calculate this year's projected sales volume we will add 12.5% of the sales of the last year to the sales of last year. This can be calculated by using the formula:
S = P + (P × r / 100)
Where S is new sales, P is old sales, and r is a rate of increase.
In this problem, the value of P is $82,000 and the rate of increase is 12.5%. Now, let's plug these values into the formula and solve for S:
S = P + (P × r / 100)
S = $82,000 + ($82,000 × 12.5 / 100)
S = $82,000 + $10,250S = $92,250
Hence, the projected sales volume for this year is $92,250.
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Please answer the one you would like. I’m very bad at math :(
Answer:
The answer for question one is 162 cm
A=Bc+D solve for B, C and D
Answer:
B=Cd,A
C=DA,B
D=Ab,c
Step-by-step explanation:
(A,b)
(7,8)
=-1
determine which sample better represents the entire population. 150 members of a golf club are surveyed to find out the favorite game of the city residents. 100 people entering a tennis court are surveyed to find out the favorite game of the city residents. 100 people exiting a football stadium are surveyed to find out the favorite game of the city residents. 200 people of the city are randomly selected from the phone directory and surveyed to find out the favorite game of the city residents.
The sample, which better represents the entire population;
200 people in the city are randomly selected from the phone directory and surveyed to find out the favorite game of the city residents.
The correct option is D.
What is a biased estimator?An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.
A). 150 members of a golf club are surveyed to find out the favorite game of the city residents.
Here, the survey is not done unbiasedly.
Similarly with the other options B and C.
But in (D),
200 people in the city are randomly selected from the phone directory and surveyed to find out the favorite game of the city residents.
The survey is done unbiasedly.
Not in any sport-specific stadium.
Therefore, the correct option is D.
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Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
x + 2
Answer:
Step-by-step explanation:
x+2
degree is 1
\(x^{1} +2\)
and has two terms so is a binomial
The graph showing the total number of prisoners in state and federal prisons for the years 1960 through 2009 is shown in the figure. There were 204,608 prisoners in
1960 and 1,610,540 in 2009.
(1960,204608) and (2009,1610540)
Write the equation of the secant line joining these two points on the curve?
The Average rate of growth is 28589 per year
The Slope of the line connecting is m = 28589 pee year.
How to calculate the valueThe average rate of growth is a measure of how much a quantity or variable changes on average over a certain period of time. It is calculated by dividing the total change in the quantity by the length of the time period. The formula for the average rate of growth is:
Average Rate of Growth = (Final Value - Initial Value) / Time Interval
Average rate of growth = 1611,589-210733 / 2009-1960
= 28589 per year
Slope of the line connecting ( 1960, 210, 733) 4 (2009, 1,611, 589) will be:
m = У2 - y1 / x2 - x1
m = 28589 per year
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y=\(\frac{2}{x-1\\}\)