Hello,
I hope you and your family are doing well!
To write an expression that is equivalent to 2/3 (4x + 9), you can simply distribute the 2/3 over the parentheses:
2/3 (4x + 9) = (2/3 * 4x) + (2/3 * 9)
This simplifies to:
2/3 (4x + 9) = (8/3)x + (18/3)
Therefore, an expression that is equivalent to 2/3 (4x + 9) is (8/3)x + (18/3).
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Happy Holidays & New Year!
Answer: 2 2/3x + 6
Step-by-step explanation: 1 of 3 ways to find how to make the equivalent is to use the distributive property. So, that means we need to multiply or distribute 2/3 to both 4x and 9. So, 2/3 x 4 is roughly 2 2/3. Also, 2/3 x 9 = 6. So, I combined the like terms to get 2 2/3x + 6 as my equivalent expression. I hope this helps.
Point D (-5, 3) and point E (6, -2) are located on a coordinate grid.
Which measurement is the best representation of the distance between point D and point E in units?
Answer:
Rounding to the nearest number, the answer would be 12 units
Step-by-step explanation:
I hope this helped! Please mark me as brainliest if you can!
Ryan's backyard has cement and grass. Find the area of the part with cement.
(Sides meet at right angles.)
Answer:
28m²
Step-by-step explanation:
I don't really know how to explain so I'm just going to say its 28m²
The area of the part with cement will be 28 square meters.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the image has the backyard area in which some part is cemented and the remaining part is grass.
The area of the cemented part will be calculated as:-
Cemented area = Total area - Area of grass
Cemented area = ( 6 x 6 ) - ( 4 x 2 )
Cemented area = 36 - 8
Cemented area = 28 square meters
Therefore, the part with cement in the backyard will have an area of 28 square meters.
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A square is defined to be a quadrilateral with four congruent sides and four right
angles. Additionally, squares have two pairs of parallel sides,
Choose all of the quadrilaterals that accurately complete the following statement:
A square is a special
Answer:
Step-by-step explanation:
a square is a special rectangle and a parallelogram , and a rhombus
Find the value of the missing coefficient in the factored form of 27f^3+125g^3=(3f+5g)(9f^2-?fg+25g^20
The value of the missing coefficient is 12
Lets explain how to factorize the difference of two cubes
- The factorization of the difference of two cubes like a³ - b³, is a
product of a binomial and trinomial
- The binomial is the cube root of the first term and the second term
∵ The ∛a³ = a and ∛b³ = b
∴ The binomial is (a - b)
- We will find the trinomial from the binomial by square the 1st term
of the binomial and multiply the 1st term and the 2nd term of the
binomial with opposite sign of the binomial and square the 2nd
term of the binomial
∴ The trinomial is (a² + ab + b²
∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)
* Lets solve the problem
∵ 8f³ - 216g³ is the difference of two cubes
∵ ∛(8f³) = 2f
∵ ∛(216g³) = 6g
∴ The binomial is (2f - 6g)
- Lets make the trinomial
∵ (2f)² = 4f²
∵ (2f)(6g) = 12fg
∵ (6g)² = 36g²
∴ The trinomial = (4f² + 12fg + 36g²)
∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)
∴ The value of the missing coefficient is 12.
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complete question:
Find the value of the missing coefficient in the factored form of 8f^3-216g^3
8f^3-216g^3=(2f-6g) (4f^2+?fg+36g^2)
The value of ? =
eight less than a number b
Step-by-step explanation:
I didn't understand your question exactly but
eight less than a number b is :
8 < b
Answer:
x-8
Step-by-step explanation:
First, you have to assign a variable = x
Eight less than a number is x-8
Eight less is -8
Then a number is a variable
Have a good day and stay safe!
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
I will give brainliest for first correct answer! Claire correctly solved the proportion x/4 = 36/6 for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown (look at image).
What property allowed her to go from x/4 = 36/6 to x/4 times 4 = 36/16 times 4?
A) addition property of equality
B) subtraction property of equality
C) multiplication property of equality
D) division property of equality
Answer:
C. multiplication property of equality
Step-by-step explanation:
Claire is multiplying by 4 on both sides of the equation. This is an example of the multiplication property.
Please help me with this !
The length of side AB within quadrilateral ABCD is 14.301 meters.
How to determine the length of a missing by trigonometry
In this problem we find a geometric system formed by a quadrilateral and two diagonals, whose parameters are listed below:
CD = 20 m
m ∠ BCD = 20°
m ∠ ACB = 40°
m ∠ ADC = 45°
m ∠ ADB = 50°
The missing side can be found by combining law of sine and law of cosine:
Law of sine
20 / sin 65° = BD / sin 20°
BD = 7.548
20 / sin 75° = AD / sin 60°
AD = 17.932
Law of cosine
AB = √(AD² + BD² - 2 · AD · BD · cos ADB)
AB = √(17.932² + 7.548² - 2 · 17.932 · 7.548 · cos 50°)
AB = 14.301
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Given the function, g(x)=5x^5/x^3-2x+1, choose the correct horizontal asymptote. none y = 0 y = 1 y = 3
Answer: NONE
Step-by-step explanation:
Consider that m is the degree of the numerator and n is the degree of the denominator.
The rules for horizontal asymptote (H.A.) are as follows:
If m > n then no H.A. (use long division to find the slant asymptote)
If m = n then H.A. is y = leading coefficient of numerator/leading coefficient of denominator
If m < n then H.A. is y = 0
Given: g(x) = 5x⁵/(x³ - 2x + 1)
--> m = 5, n = 3
Since m > n then there is no H.A.
Trigonometry, Need Help please!!
The value of cos(2α + β) using trigonometric identities is; -1.0155
How to solve trigonometric Identities?We are given;
α = sin⁻¹(4/5)
β = tan⁻¹(12/5)
Thus;
sin α = 4/5
tan β = 12/5
From trigonometric ratios, we can say that;
cos α = 3/5
sin β = 12/13
cos β = 5/13
We know from trigonometric identities that cos (a + b) = cos a cos b - sin a sin b.
Thus;
cos(2α + β) = cos 2α cos β - sin 2α sin β
Thus;
cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))
= 0.4615 - 1.477
= -1.0155
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Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
Cierta clase de microbio se duplica en cada minuto. Si se coloca un microbio en un recipiente de una capacidad determinada, este se llena a los 30 min. ¿En que tiempo se llenará el recipiente si se colocan 2 microbios?
Answer:
En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.
Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:
y = a * (2)^x
Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.
Después de 30 minutos, la cantidad de microbios en el recipiente es:
2^30 = 1,073,741,824
Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.
Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:
2 * (2)^x = 1,073,741,824
Dividiendo ambos lados por 2, se tiene:
(2)^x = 536,870,912
Tomando logaritmos base 2 en ambos lados, se tiene:
x = log2(536,870,912) = 29
Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.
Step-by-step explanation:
Camillo needs 2,400 oz of jelly for the food challenge. If 48 oz of jelly cost $3.84, how much will Camillo spend on jelly? Explain how you can find your answer.
i need help plz
Answer:Sample Response: First, find the unit price of the jelly. The unit cost of jelly is $0.08 per ounce. Next, find the total price of 2,400 oz by multiplying the unit price by the quantity. The total price is $192.
Step-by-step explanation:Need brainliest award
What is the solution to the linear equation? (2/3)x-1/2=1/3+(5/6)x
x
=
−
5
Explanation:
2
x
3
−
1
2
=
1
3
+
5
x
6
or
4
x
6
−
1
2
=
1
3
+
5
x
6
or
5
x
6
−
4
x
6
=
−
1
3
−
1
2
or
x
6
=
−
5
6
or
x
=
−
5
y =3cos (2x-1) +0,3
amplitude
Answer:
Y
=
3
cos
(
2
x
-
1
)
Use the form
to
cos
(
b
x
-
c
)
+
d
to find the variables used to find the amplitude, period, phase shift, and vertical shift.
to
=
3
b
=
2
c
=
1
d
=
0
Find the amplitude
|
to
|
.
Amplitude:
3
Find the period using the formula
2
π
|
b
|
.
Tap for more steps ...
Period:
π
Find the phase shift using the formula
c
b
.
Tap for more steps ...
Phase shift:
1
2
Find the vertical displacement
d
.
Vertical displacement:
0
List the properties of trigonometric functions.
Amplitude:
3
Period:
π
Phase shift:
1
2
(
1
2
on the right)
Vertical displacement:
0
Select some points on the graph.
Tap for more steps ...
x
F
(
x
)
1
2
3
π
4
+
1
2
0
π
2
+
1
2
-
3
3
π
4
+
1
2
0
π
+
1
2
3
The trigonometric function can be drawn using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude:
3
Period:
π
Phase shift:
1
2
(
1
2
on the right)
Vertical displacement:
0
x
F
(
x
)
1
2
3
π
4
+
1
2
0
π
2
+
1
2
-
3
3
π
4
+
1
2
0
π
+
1
2
3Y
=
3
cos
(
2
x
-
1
)
Use the form
to
cos
(
b
x
-
c
)
+
d
to find the variables used to find the amplitude, period, phase shift, and vertical shift.
to
=
3
b
=
2
c
=
1
d
=
0
Find the amplitude
|
to
|
.
Amplitude:
3
Find the period using the formula
2
π
|
b
|
.
Tap for more steps ...
Period:
π
Find the phase shift using the formula
c
b
.
Tap for more steps ...
Phase shift:
1
2
Find the vertical displacement
d
.
Vertical displacement:
0
List the properties of trigonometric functions.
Amplitude:
3
Period:
π
Phase shift:
1
2
(
1
2
on the right)
Vertical displacement:
0
Select some points on the graph.
Tap for more steps ...
x
F
(
x
)
1
2
3
π
4
+
1
2
0
π
2
+
1
2
-
3
3
π
4
+
1
2
0
π
+
1
2
3
The trigonometric function can be drawn using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude:
3
Period:
π
Phase shift:
1
2
(
1
2
on the right)
Vertical displacement:
0
x
F
(
x
)
1
2
3
π
4
+
1
2
0
π
2
+
1
+
1
2
0
π
+
1
2
3
What conclusion can be determined from the dot plot below?
The number of observations is 10.
The median of the data set is 10.
The mean of the data set is 15.
The range of the data set is 12.
The conclusion can be determined from the dot plot is
The median of the data set is 10.
1. The number of observations is 10:
There are total 15 observations.
2. The median of the data set is 10.
From the dot plot the data is
9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 12
Thus, the median is 10.
3. Mean = Sum of observation / Total Number of observation
Mean = (9+9+9+9+9+10+10+10+10+10+10+11+11+11+12) /15
Mean= 150/15=10
Thus, the Mean is 10.
4. Range = 12 - 9
Range = 3.
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help here's a pic on the problem
The linear function that shows the proportional relationship between the distance and time is d = 100t
Linear FunctionA linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.
A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,
'm' is the slope of the line'b' is the y-intercept of the line'x' is the independent variable'y' (or f(x)) is the dependent variableFrom the table given, we can find the slope of the function by using the formula
m = y₂ - y₁ / x₂ - x₁
m = 300 - 200 / 3 - 2
m = 100
To find the y - intercept,
y = mx + c
300 = 100(3) + c
300 = 300 + c
c = 300 - 300
c = 0
The equation that shows the relationship is
d = 100t
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(b) 1 kilogram 2.2 pounds, express your answer from part (a) in pounds. Answer: lbs [2]
Answer:
37
Step-by-step explanation:
Which equation represents the graphed function?
The linear function graphed is defined as follows:
y = 3x/2 - 3.
(third option).
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when the graph crosses the y-axis.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = -3.
When x increases by 2, y increases by 3, hence the slope m is given as follows:
m = 3/2.
Then the function is defined as follows:
y = 3x/2 - 3.
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SHOW WORK !!! BRAINLIST !!
Answer:
\(x^3y^5\)
Step-by-step explanation:
\(\frac{(x^3y^2)^2(xy^2)}{x^4y} = \frac{(x^6y^4)(xy^2)}{x^4y}=\frac{x^7y^6}{x^4y} =x^3y^5\)
Here , the general rules followed are :-
i) \(x^m * x^n =x^m^+^n\)
ii) \((x^my^n)^z = (x^m^z)(y^n^z)\)
iii) \(\frac{x^my^n} {x^ay^b} = (x^m^-^a)(y^n^-^b)\)
If f(x)=x^(2)+3x-2, find f(-2)
Answer:
hello
Step-by-step explanation:
14 is what percent of 140
Answer:
10
Step-by-step explanation:
Answer:
10%
Step-by-step explanation:
140 100
14 x
-Cross-multiply
\(\frac{100*14}{140}\)=10
Calculate the circumference of a circle with a radius of 8 inches.
To calculate the circumference of a circle, you can use the formula:
\(\displaystyle C=2\pi r\)
Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.
Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:
\(\displaystyle C=2\pi (8)\)
Simplifying the expression:
\(\displaystyle C=16\pi \)
Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.
Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Ms. Johnson and Ms. Simp were folding report cards to send home to parents. The ratio of the number of report cards Ms. Johnson folded to the number of report cards Ms. Siple folded is :. At the end of the day, Ms. Johnson and Ms. Siple folded a total of 300 report cards. How many did each person fold?
Answer:
120 and 180Step-by-step explanation:
The ratio is 2:3 (got from another source)
a:b= 2:3a= 2x, b= 3xTotal is 300, then:
2x + 3x = 3005x = 300x = 60Cards folded:
a = 2*60 = 120b = 3*60 = 180They folded 120 and 180 cards respectively
Solve the system by the addition method. x + 3y = 6 3x + 4y = −2
The solution to the system is x = -6 and y = 4.
To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.
Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:
-3x - 9y = -18
+ 3x + 4y = -2
-------------
-5y = -20
Now we can solve for y by dividing both sides by -5:
y = 4
We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:
x + 3(4) = 6
x + 12 = 6
x = -6
So the solution to the system is x = -6 and y = 4.
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A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 250 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 250 individuals and asks them the same questions. Can the psychologist confirm his theory that the attitudes have changed from the first survey to the second survey?
Attitude 1st Survey 2nd Survey
Optimistic 7% 6%
Slightly Optimistic 9% 6%
Slightly Pessimistic 31% 37%
Pessimistic 53% 51%
Step 4 of 10: Find the expected value for the number of respondents who are optimistic. Round your answer to two decimal places.
Answer:
Yes. the Psychologist can confirm his theory that the attitudes have changed over time, based on the first and second surveys.
The expected value for the number of respondents who are optimistic is:
= 16.25
Step-by-step explanation:
Attitude 1st Survey 2nd Survey
Optimistic 7% 6%
Slightly Optimistic 9% 6%
Slightly Pessimistic 31% 37%
Pessimistic 53% 51%
Expected value of optimistic respondents:
Attitude
Optimistic Expected Value
1st Survey 8.75 (250 * 7% * 50%)
2nd Survey 7.50 (250 * 6% * 50%)
Total EV 16.25
Graph the solution to the equations below. y = 1 4 x + 2 and y = −2x −7
StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
25 POINTS PLS HELP SOME1!!
The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;
The transformation are a rotation and a translation
What is a translation transformation?A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.
The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units
The correct option is the second option; The transformation are a rotation and a translation
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what is42089 divided by 8
Answer:
5261
Step-by-step explanation:
your welcome