Given:
7 less than a number is 16.
\(n-7=16\)What is 26% as a fraction in simplest form?
A. 26/100
B. 26/10
C. 6/25
D. 13/50
Answer:
it'd be d: 13/50 !!
Answer:
D. 13/50
Step-by-step explanation:
0.26 ⇔ 26/100 ⇔ 13/50
How do you add
2 2/3 + 6/7
Answer:
3 11/21
Step-by-step explanation:
2 2/3=(2*3+2)/3=8/3
8/3+6/7=56/21+18/21=74/21 or 3 11/21
115 students choose to attend one of three after school activities: football, tennis or running.
There are 51 boys.
32 students choose football, of which 25 are girls.
47 students choose tennis.
12 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
thanks!
Answer:
36/115
Step-by-step explanation:
Factor. Please show work
Answer:
Step-by-step explanation:
f(x)=2(2x+3)(x−3)
hope this helps
HELP DUE BY 1pm PACIFIC NEED HELP ASAP
I'm backkkk!
40 = 5 (w - 2) would be the equation.
40 = 5w - 10 using the distributive property.
+ 10 + 10 because you must add to both sides to get rid of the 10.
50 = 5w
/5 /5 again, keep the same on both sides, and...
10 = w
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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please help if u can! :))))
Answer: 0.8
Step-by-step explanation:
The formula to find area of a parallelogram is A = bh. This means that area = base x height. You can manipulate this formula to what height equals instead of the area. To do that, you can divide b on both sides. This would make the equation h = A/b.
Now that you know how to find what height equals, first find the base of the parallelogram. To find b, multiply 6 x 5. 6 x 5 = 30. This means that your base is 30.
Take the information given to you in the problem about the area. The area is given to you. We know that the area is 24 squared units. Remember what the equation to find height is. It's h = A/b. Substitute the variables for your numbers. h = 24/30.
24/30 = 0.8.
This means that your height is 0.8. This would be 8/10 in fraction form, but you can simplify it further to 4/5.
Hope it helps. Good luck!
Please help me
Here it is
what is the result of adding the system of equations 2x y 43x y 6x 10x y 25x 10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
Describe equation:Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way. In all mathematical equations, LHS = RHS is used. You can solve equations to find the value of an unknown variable that stands in for an unknown quantity. If a sentence lacks a "equal to" sign, it is not considered an equation. It will be considered to be a phrase.
Here,
Given:
we have to solve the system of equations given. .Each equation is added together to remove the variable Y.
2x + y = 4
+
3x - y = 6
________
=> 5x =10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
The value of x :
x =10 / 5 = 2
⇒ x=2
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Convert A(x) to standard form.
A(x) = 2(x - 5)² - 60
Answer:
A(x) = 2x² - 20x + 110
Step-by-step explanation:
A(x) = 2(x - 5)² - 60
A(x) = 2(x - 5)(x - 5) - 60
A(x) = 2[x(x - 5) - 5(x - 5)] - 60
A(x) = 2[x(x) - x(5) - 5(x) + 5(5)] - 60
A(x) = 2(x² - 5x - 5x + 25) - 60
A(x) = 2(x² - 10x + 25) - 60
A(x) = 2(x²) - 2(10x) + 2(25) - 60
A(x) = 2x² - 20x + 50 + 60
A(x) = 2x² - 20x + 110
Answer:
A(x) = 2x² - 20x - 10
Step-by-step explanation:
A(x) = 2(x - 5)² - 60 ← expand factor using FOIL
= 2(x² - 10x + 25) - 60 ← distribute parenthesis
= 2x² - 20x + 50 - 60 ← collect like terms
= 2x² - 20x - 10
For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
3. Consider 2 3/4 divided by 1/8.
(B) Create and explain a model for the division.
(c) Find the quotient. Show your work or explain your reasoning.
Use the questions above to answer the one below. I've created the question for it already, just answer it please :)
Aaron and his friends Michael and Johnny order a pizza for lunch. They decide to save half of the pizza for dinner. How many slices of pizza will Aaron, Michael, and Johnny each get?
Answer:
the answer would be 22
Step-by-step explanation:
You spin the spinner twice.
5
7
6
What is the probability of landing on a 7 and then landing on a
number greater than 5?
Answer:
Step-by-step explanation:
3 out of 4 to land on greater than 6 and 1 out of 4 to land on 9. 3/4 for greater than 6. 1/4 for 9.
Use the Distributive Property to write –4(7 – 1) as an equivalent expression. What is the value of the expression?
Answer:
Step-by-step explanation:
-4(7-1) = (-4)7 + (-4)(-1) = -24
IMPORTANT: every " a, b, c and + , -" are meant to be exponents
The expression \((\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}\) is an algebraic expression, and the result of simplifying the expression \((\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}\) is 1
How to simplify the expression?The expression is given as:
\((\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}\)
Apply the power rule of indices
\((x^{a-b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}\)
Expand the exponents of the expression
\(x^{a^2-b^2} \cdot x^{b^2 - c^2} \cdot x^{c^2 - a^2\)
Apply the product rule of indices
\(x^{a^2-b^2+b^2 - c^2+c^2 - a^2\)
Collect like terms
\(x^{a^2- a^2-b^2+b^2 - c^2+c^2\)
Evaluate the differences
\(x^{0-0 - 0\)
This gives
\(x^{0\)
Evaluate the exponent
1
Hence, the result of simplifying the expression \((\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}\) is 1
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Which polynomial is prime?
O 3x³ + 3x² - 2x - 2
O 3x³ − 2x² + 3x − 4
-
O
4x³ + 2x² + 6x + 3
O
4x³+4x²-3x - 3
Answer:
B
Step-by-step explanation:
a prime polynomial is one which does not factor into 2 binomials.
its only factors are 1 and itself
attempt to factorise the given polynomials
3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )
= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(3x² - 2) ← in factored form
--------------------------------------------------
3x³ - 2x² + 3x - 4 ( factor the first/second terms
= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored
thus this polynomial is prime
----------------------------------------------------
4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )
= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term
= (2x + 1)(2x² + 3) ← in factored form
-------------------------------------------------
4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )
= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(4x² - 3) ← in factored form
--------------------------------------------------
the only polynomial which does not factorise is
3x³ - 2x² + 3x - 4
3
2
1
-1
-2
-3
Determine the period.
2
4
6
8
10 12 14
The calculated period of the function is 12
How to determine the period of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
By definition, the period of the function is calculated as
Period = Difference between cycles or the length of one complete cycle
Using the above as a guide, we have the following:
Period = 13 - 1
Evaluate
Period = 12
Hence, the period of the function is 12
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Rewrite each linear expression by factoring out the greatest common factor. 36-8z ,Just question 9 please.
Answer:
4(9-2z)
Step-by-step explanation:
Common factor between 36 and 8 is 4
so 4 ( 9 - 2z )
Développer chaque produit, puis réduire les express
sions obtenues.
A=-7(2x2 – 3) - 5(4x + 6)
B= 5x(4x – 1) - 2(8x – 7)
C=-3x(5x + 8) - 4x(5 - 7x)
Answer:
c
Step-by-step explanation:
Find the Lcm of 9,12 and 24
Answer:
144
Step-by-step explanation:
x + 7 = 6x - 3
answer plssss
Answer:
x=2
Step-by-step explanation:
x + 7 = 6x - 3
Subtract x from each side
x+7-x = 6x-x
7 = 5x-3
Add 3 to each side
7+3 = 5x-3+3
10 =5x
divide by 5
10/5 = 5x/5
2 =x
Answer:
x= 2
hope it helps!
Step-by-step explanation:
x + 7 = 6x - 3
Bring all the variables to one side
So get 6x to the other side
x+7-6x = -3
-5x +7 = -3
Take 7 to the other side
-5x= -3 -7
-5x = -3 + -7
-5x = -10
x = -10/-5
minus n minus becomes plus
x= 10/5
= 2
Gage stocks two ponds with bass and bluegill.
He stocks Pond A with 60 fish and Pond B with
300 fish. Gage stocks Pond B with twice the
amount of bass and six times the amount of
bluegills as Pond A. How many bass and
bluegills does Gage stock in Pond A?
The requried, Gage stocks Pond A with 15 bass and 45 bluegills.
What is equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let x be the number of basses in Pond A.
Then the number of bluegills in Pond A is 60 - x.
According to the problem, Pond B has twice the number of bass as Pond A, so there are 2x bass in Pond B.
Similarly, Pond B has six times the number of bluegills as Pond A, so there are 6(60 - x) bluegills in Pond B.
The total number of fish in Pond B is 300, so we can set up an equation:
2x + 6(60 - x) = 300
Simplifying and solving for x, we get:
2x + 360 - 6x = 300
-4x = -60
x = 15
Therefore, Gage stocks Pond A with 15 basses and 45 bluegills.
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3. Mrs. Quinto is comparing the Calories in different types of bread. Wheat bread has 150 Calories for every 2 slices. The Calories in two other types of bread are shown in the table and graph. Which bread has the greatest ratio of Calories to slices?
options:
2 - 160
4 - 320
6 - 480 . (white bread)
Rye bread is 0 to 500 .
The bread that has the greatest ratio of Calories to slices is the Wheat bread
How to determine the bread that has the greatest ratio of Calories to slices?The table of values is given as
Wheat bread
Slice - Calories
2 - 160
4 - 320
6 - 480
The missing graph that represents the graph of rye bread is added as an attachment
On the graph, we have the following table of values
Rye bread
Slice - Calories
2 - 130
4 - 260
6 - 390
We start by calculating the rates of each table using
Rate = Calories/Slice
So, we have
Wheat bread = 160/2
Wheat bread = 80
Rye bread = 130/2
Rye bread = 65
80 is greater than 65
Hence, the bread that has the greatest ratio of Calories to slices is the Wheat bread
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I need to find x and y
Using the same-side interior angles theorem,
\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)
Using vertical angles,
\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)
Consider these functions: f(x) = 4x^3 - 10 g(x) = \(\frac{3x - 4}{2}\) What is the value of g(f(2))?
A. -6
B. 2
C. 19
D. 31
Answer:
D. 31
Step-by-step explanation:
First Plug 2 into f(x) and solve.
You should get 22.
Then plug f(2) which is equal to 22 into g(x).
So, plug 22 into g(x).
You should get 31.
what is the inverse of the function g(x) =-3x+8
Answer:
\(g^{-1} (x)=-\frac{x}{3} +\frac{8}{3}\)
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
= \(g^{-1} (x)=-\frac{x}{3} +\frac{8}{3}\)
I need help quick 5 mins leftyttt
Answer:
I don't know sorry :((((((((((((((((
Step-by-step explanation:
in un rombo l'area e' di 234,95c2 , mentre l'altezza misura 12,7cm
Answer:
la diagonale più lunga dovrebbe essere 37cm.
Step-by-step explanation:
Se cerchi la diagonale più lunga la formula dovrebbe essere questa:
A=p*(q/2)
234,95 = 12,7*(x/2)
234,95/12,7 = x/2
18,5 = x/2
18,5*2 = x
37 = x
10 cm The diagram above, not drawn to scale, shows a circle within a semicircle with a diameter of 10cm. Find the area of the shaded region. Seni
The area of the shaded region is equal to 12.5π or 39.27 square centimeters.
How to calculate the area of the shaded region?In Mathematics and Geometry, the area of a semicircle can be calculated by using this formula:
Area of semicircle, As = πr²/2
Where:
r represents the radius of a circle.
Note: Radius = diameter/2 = 20/2 = 10 centimeters.
By substituting the radius into the formula for the area of a semicircle, we have the following;
Area of semicircle = 1/2 × π × 10²
Area of semicircle = 50π square centimeters.
For the circle, we have:
Area of circle, Ac = πr²
Area of circle, Ac = π(10/2)²
Area of circle, Ac = 25π square centimeters.
Now, we can determine the area of the shaded region as follows;
Area of shaded region = (As - Ac)/2
Area of shaded region = (50π - 25π)/2
Area of shaded region = 12.5π or 39.27 square centimeters.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
find the exact value cos5pi/6
Answer:
\( - \frac{ \sqrt{3} }{2} \)
Step-by-step explanation:
Unit circle