Answer:
1/4
Step-by-step explanation:
A P E X
Answer: I’m a goofy goober yeah your a goofy goober yeah
Step-by-step explanation:
9 boys can paint a basketball court in 3 hours how long should 5 boys take working at the same rate
Answer:
100 minutes
Step-by-step explanation:
3 hours= 180 min
180/9 = 20
20 x 5 =100 min
The table gives the average age of airplanes per airline at Camila’s local airport. By what percent is the number of airlines with an average airplane age of 14 less than the number of airlines with an average airplane age of 11 ?
The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:
B. 20%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
The percentage of airlines with an average age of 14 years is:
[tex]P = \frac{2}{15} \times 100\% = 13.33\%[/tex]
The percentage of airlines with an average age of 11 years is:
[tex]P = \frac{5}{15} \times 100\% = 33.33\%[/tex]
The difference is:
33.33% - 13.33% = 20%.
Hence option B is correct.
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Write the function for the graph A. f(x) =2•(4) x B.f(x) = 4 •(2) x C. f(x) = 4•(8) x D. f(x) =2•(8) x
The exponential equation that represent the graph is y = 2(4)^x
Exponential functionsThe standard exponential function is expressed as
y = ab^x
Given the coordinate points (1, 8) and (0,2), the equivalent equations are;
8 = ab^1
2 = ab^0
from equation 2, a = 2
8 = 2b
b = 4
Hence the exponential equation that represent the graph is y = 2(4)^x
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(x)/(12)=(y)/(13)=(z)/(15 )3x+2y=35 tìm x , y , z
Step-by-step explanation:
z is the answer of your question 15 is correct answer
PLS HELP PLSSS HELP
I NEED THIS SOLVED
PLSS DO IT
PLSSSS HELPP
ITS SO HARD
I WILL FAIL
HELP PLSSS
Answer:
x² + 5x - 14 = (x + 7)(x - 2)
x² - 3x - 54 = (x - 9)(x + 6)
x² + 8x + 12 = (x + 2)(x + 6)
x² - 11x + 30 = (x - 5)(x - 6)
x² - 25 = (x + 5)(x - 5)
x² + 8x - 9 = (x - 1)(x + 9)
Step-by-step explanation:
To factor x² + ax + b, look for two numbers whose sum is a and whose product is b.
The factorization of x² - a² is (x + a)(x - a).
x² + 5x - 14 = (x + 7)(x - 2)
x² - 3x - 54 = (x - 9)(x + 6)
x² + 8x + 12 = (x + 2)(x + 6)
x² - 11x + 30 = (x - 5)(x - 6)
x² - 25 = (x + 5)(x - 5)
x² + 8x - 9 = (x - 1)(x + 9)
The factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
Factoring quadratic expressionsFrom the question we are to factor the given quadratic expressions
y = x² + 5x - 14y = x² +7x -2x - 14
y = x(x +7) -2(x +7)
y = (x -2)(x +7)
y = x² -3x - 54y = x² -9x +6x - 54
y = x(x -9) +6(x -9)
y = (x +6)(x -9)
y = x² +8x + 12y = x² +6x +2x +12
y = x(x +6) +2(x +6)
y = (x +2)(x +6)
y = x² -11x +30y = x² -6x -5x +30
y = x(x -6) -5(x -6)
y = (x -5)(x -6)
y = x² - 25y = (x +5)(x -5)
y = x² + 8x - 9y = x² +9x -x -9
y = x(x +9) -1(x +9)
y = (x -1)(x +9)
y = x² - 16y = (x +4)(x -4)
Hence, the factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
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Solve the equation below by factorising.
2x^2- 10x= 0
Answer:
x = 0 , x = 5
Step-by-step explanation:
2x² - 10x = 0 ← factor out 2x from each term on the left side
2x(x - 5) = 0
equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
x - 5 = 0 ⇒ x = 5
find the values of A and B
PLEASE HELP GIVING BRAINLIEST
Factoring the roots, the values of A and B are given as follows:
A = 3z.B = 2.What are the values of A and B?The expression is:
[tex]\sqrt{\frac{45\alpha z^3}{40y}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}[/tex]
We have that:
[tex]\frac{45}{40} = \frac{9}{8}[/tex]
Hence:
[tex]\sqrt{\frac{45\alpha z^3}{40y}} = \sqrt{\frac{9\alpha z^3}{8}} = \sqrt{\frac{9\alpha z^2 \times z}{4 \times 2}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}[/tex]
Hence, comparing the last two equalities:
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Find the volume of the regular pyramid.
Find the area of the polygon formed whe these points are connected a(3,7)b(3,3)c(7,3)d(7,7)
Here, given
sides of polygon= a(3,7)b(3,3)c(7,3)d(7,7)
Let, 3 = x1 & 7= y1 , 3= x2 & 7= y2 , 7= x3 & 3= y3 , 7= x4 & 7= y4
[tex]\frac{1}{2}[/tex] [det.(9-21)+det.(9-21)+det.(49-21)+det.(49-21)] {we took determinants of all the given sides}
[tex]\frac{1}{2}[/tex] (32)
16cm^2
Hence, the area of the polygon is 16cm2.
The formula for calculating the area of a regular polygon is: area = (number of sides x 1 side length x apothem distance) / 2, where the value of the apothem is the formula apothem = [(1) Length side). / {2 × (tan (180 / number of sides))}].
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If 15 actuators have failed today, what is the probability that a) at least 10 are repairable? b) from 3 to 8 are repairable? c) exactly 5 are repairable?
The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
According to the statement
we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.
we know that the formula of probabilities is
probability = possible outcomes / total outcomes
So,
at least 10 are repairable = 1 - (10 are not repairable)at least 10 are repairable = 1 - 10/15
at least 10 are repairable = (15 - 10)/15
at least 10 are repairable = (5)/15
at least 10 are repairable = 1/3
from 3 to 8 are repairable = 3/15 *8/15from 3 to 8 are repairable = 1/5 *8/15
exactly 5 are repairable = 5/15exactly 5 are repairable = 1/3
These are the probabilities of the given conditions.
So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
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A: Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship.
B: Identify and interpret the key features of the function in the context of the situation you described in part A.
The function represented is analyzed below.
How to illustrate the function?The function represented by the graph is related to a piecewise function.
The key features of the function include:
The function has a constant value in interval (0, 15) which is 40.
It decreases at first and then increases from 45 to 65.
It increases linearly from 65 to 90.
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A person has a 0.125 probability of getting the number 3 on a roll of an eight-sided die. if a person rolls the die 24 times, and gets a 3 on one-half of the rolls, what is the difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll?
The difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll is 0.375.
In the question, we are given that a person has a 0.125 probability of getting the number 3 on a roll of an eight-sided die.
This means that the theoretical probability of rolling a 3 on an eight-sided die is 0.125.
Also, we are informed that a person rolls the die 24 times, and gets a 3 on one-half of the rolls, that is, 1/2 * 24 = 12 rolls.
Thus, the experimental probability of rolling a 3 on an eight-sided die = 12/24 = 1/2 = 0.5.
In the question, we are asked to find the difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll.
The difference = The experimental probability - The theoretical probability,
or, the difference = 0.5 - 0.125 = 0.375.
Thus, the difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll is 0.375.
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4. Given: 21 22
Prove: all b
What is the missing reason in the proof?
1.41 42
2.21 24
3. 2224
1
4. all b
4
2
Statements | Reasons
1. Given
2. Vertical angles are congruent.
3.?
4. If two lines and a transversal form
congruent corresponding angles,
then the lines are parallel.
b
Vertical angles are always equal and congruent.
What we vertical angles?The information is incomplete. An overview will be given. It should be noted that vertical angles simply means the angles that are opposite each other when two lines cross.
Vertical angles are always equal and congruent. When two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.
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The number (2^22-2^20) (3^24-3^22) (4^26-4^24) is equal to 2^x × 3^y × 5^z. Determine the value of x+y+z.
Answer:
96
Step-by-step explanation:
(2^22-2^20) (3^24-3^22) (4^26-4^24)
=[(2^2-1)2^20][(3^3-1)3^22][(4^2-1)4^24]
=3*2^20*8*3^22*15*4^24
=2^23*3^23*4^24*15
=2^23*3^23*2^48*3*5
=2^71*3^24*5.
∵(2^22-2^20) (3^24-3^22) (4^26-4^24)=2^x × 3^y × 5^z,
∴x=71, y=24, z=1,
∴x+y+z=71+24+1=96.
The chess club started with a membership of only 4 students, but the membership grew at a rate of 2.56% each week. The number of students is modeled by f(x) = 4(1.0256)x.
A: Create a question you could ask that could be answered only by graphing or using a logarithm.
The question that could be answered by using a logarithm is explained below
How to explain the logarithm?The question is: Let your dependent variable in the function be y. Write the function that models the independent variable in terms of y, using logarithms.
The question is asking you to solve y = f(x)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256)
When y=12, this is .x = log(12/4)/log(1.0256) ≈ 43.46 weeks
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What is the domain of the exponential function shown below?
F(x) = 5.3*
O A. All real numbers except 5
OB. All real numbers
C. x<0
OD. x>0
The function will exist on all real numbers. Hence the domain of the exponential function given is all real numbers
Domain of a functionThe domain are independent values of an expression for which it exist. The standard exponential equation is expressed as y = ab^x
Given the exponential function as shown:
y = 5(3)^x
The function will exist on all real numbers. Hence the domain of the exponential function given is all real numbers
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how to solve for problem 14
m∠ AEM = 20°
How to determine the angle
From the given figure, we can see that m∠ AEM is alternate to m∠ ACE
Note that m∠ ACE = 20°
Alternate angles are equal.
If m∠ ACE is alternate to m∠ AEM
Then, m∠ AEM = 20°
Hence, m∠ AEM = 20°
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Because computers operate so quickly, developers often measure time in milliseconds (which are 1000th of a second). Which operation could we perform in order to find the number of milliseconds in a year
The operation is 365*24*60*60*1000 = 31536*10^6.
As we know the year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Each minute has 60 seconds.
Each second has 1000 millisecond.
Therefore number of milliseconds in a year is
365*24*60*60*1000 = 31536*10^6.
Hence we get the The operation is 365*24*60*60*1000 = 31536*10^6.
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Select the correct answer.
Which expression and quotient does the diagram model?
The expression (quotient) which is modelled by the given diagram as in the task content is; (x²+x-2)/(x-1) = x +2.
Which expression and quotient is depicted by the diagram model as in the task content?It follows from the task content that the diagram model in discuss by observation involves a quotient in which case, the division is; (x-1).
Additionally, the dividend in the quotient by observation is the sum of terms as follows;
x² + x +x -x -1 -1 = x²+x -2.
Ultimately, the result of the division according to the model is; (x +2).
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each of 16 students in a class made a poetry book. each book contained 24 poems. how many poems are in 16 books
PLEASE HELP IM STUCK
The slope-intercept equation for the given line is y = 2x + 3
Equation of a straight lineFrom the question, we are to determine the equation for the line
The slope-intercept form of the equation of a straight line is
y = mx + b
Where m is the slope
and b is the y-intercept
First, we will determine the slope
Slope of the line = (3 - 0) / (1.5 - 0)
Slope of the line = 3/1.5
Slope of the line = 2
∴ m = 2
On the graph, we can observe that the y-intercept is 3
∴ b = 3
Thus,
The equation becomes
y = 2x + 3
Hence, the slope-intercept equation for the given line is y = 2x + 3
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Chandra invests $75 every month at 4.8%/a compounded monthly for 8 years. What is the total amount of Chandra's investments after 8 years? Show your work.
The total amount of Chandra's investments after 8 years is $110.03
Compound interestThe formula for calculating the compound interest is expressed as;
A = P(1+r/n)^nt
where
P is the amount invested = $75
r is the rate. = 0.048
t is the time =8years
n = 12 (monthly)
Substitute
A = 75(1+0.048/12)^96
A = 75(1.467)
A = 110.03
Hence the total amount of Chandra's investments after 8 years is $110.03
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Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f _________.
The differentiation of the stated series expansion of f term-by-term to obtain the corresponding series expansion for the stated derivative of f is [tex]\sum_{n=1}^{\infty}[/tex] (-1)ⁿ(n3ⁿ)Xⁿ⁻¹
What are the steps to arrive at the above solution?f(x) = 1/ (1 + 3x) = [tex]\sum_{n=0}^{\infty}[/tex] (-1)ⁿ3ⁿxⁿ
⇒ f'(x) = d/dx [[tex]\sum_{n=0}^{\infty}[/tex](-1)ⁿ 3ⁿXⁿ]
= [tex]\sum_{n=0}^{\infty}[/tex] (-1)ⁿ3ⁿ d/dx (xⁿ)
= [tex]\sum_{n=1}^{\infty}[/tex] (-1)ⁿ3ⁿ(nxⁿ⁻¹)
= [tex]\sum_{n=1}^{\infty}[/tex] (-1)ⁿ3ⁿnxⁿ⁻¹
= [tex]\sum_{n=1}^{\infty}[/tex] ((-1)ⁿnxⁿ⁻¹)3ⁿ
= [tex]\sum_{n=1}^{\infty}[/tex] (-1)ⁿ(n3ⁿ)xⁿ-1
What is differentiation?In mathematics, differentiation is used to calculate rates of change. In mechanics, for example, velocity is the rate of change of displacement (with regard to time).
The acceleration is the rate of change of velocity (with respect to time).
What is the practical use of Differentiation in real life?They are employed in many fields, including
biologyeconomicsphysicschemistry, and engineering.They can be used to represent:
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Full Question:
Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f.
If f(x) = 1/ (1 + 3x) = [tex]\sum_{n=0}^{\infty}[/tex] (-1)ⁿ3ⁿxⁿ
Hi! It’d be really helpful if someone could explain he two questions below, thanks!
Describe fully the single transformation which takes shape A to shape B.
The single transformation which takes shape A to shape B as in the task content is a 90° clockwise rotation and a 6 units shift rightward.
What transformation is responsible for taking A to B?By observation, it follows that the orientation of the shape A differs from that of B as it lags by 90° in the clockwise direction.
Additionally, the resulting image from a 90° clockwise rotation about the left vertice of A still reguires that A be shifted 6 units rightwards to yield shape B.
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The volume of this cylinder is 7500cm3.
find the missing length x.
give your answer rounded to 1 dp.
V = π r2h. Volume Calculations. Round ( Cylinder) Tanks. Example 1. Find the Volume in cubic feet of a tank having a radius of 10 feet and ...
Missing: 7500m Give SF.
In the case of a hollow cylinder, we measure two radii, one for the inner circle and one for the outer circle formed by the base of a hollow cylinder. Suppose, r1 and r2 are the two radii of the given hollow cylinder with 'has the height, then the volume of this cylinder can be written as; V = πh(r12 – r22).
To find the volume of a box, simply multiply the length, width, and height — and you're good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters.
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PLEASE HELP ME IM STUCK
The slope-intercept formula of the linear equation is:
[tex]y = \frac{3}{7}x + 7[/tex]
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The y-intercept is of b = 7. The line also goes through point (0,-3), hence the slope is:
m = 3/7.
Thus the equation is:
[tex]y = \frac{3}{7}x + 7[/tex]
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Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −3x^2 + 150 − 1200, where x is the amount he charges per tree.
1. How much does he need to charge if he wants to break even?
2. How much does he need to charge if he wants to make a profit of $600?
He need to charge 24$ per tree if he wants to make a profit of $600.
According to statement
Noah knows that his profit, P, in dollars, are P= −3x^2 + 150 − 1200.
Now, we find the value of x when the profit is $600
Where X represent the Amount he charges per tree.
The given equation is P= −3x^2 + 150 − 1200.
Substitute the value of p is $600 in the above written equation
Then
600 = −3x^2 + 150 − 1200.
After solving the equation by a substitution method the value of X becomes
600+1200-150 = -3(x)^2
x = (1650/3)^1/2
x= 24$
it means the charge per tree is 24$.
So, He need to charge 24$ per tree if he wants to make a profit of $600.
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A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 100 feet above the ground.
The rate of change of the angle of elevation of the balloon from the observer when the balloon is 100 feet above the ground is 1/20 degree/sec.
What is angle of elevation?It is described as a relationship between an oblique line from the observer's eye to an item above his eye and the horizontal plane. This angle eventually develops above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name suggests.
Calculation for the rate of change of angle of elevation-
According to the question,
A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer.
The balloon is 100 feet above the ground.
Let the height of the balloon be 'h' ft.
Then tanØ = h/100
h = 100tanØ
Differentiate the above equation with respect to time.
dh/dt = 100 sec² Ø (dØ/dt)
We know dh/dt = 10 ft/sec.
when h = 100
tanØ = 100/100 = 1/1
tanØ = Perpendicular/Base
On comparing above two equations,
Perpendicular = 1; Base = 1.
By Pythagoras the hypotenuse is,
H² = P² + B²
= 1² + 1²
= 2
H = √2
Now, calculate the value of cosØ.
cosØ = B/H = 1/√2
Squaring both side
cos² Ø = 1/2
sec² Ø = 1/cos² Ø
sec² Ø = 2
The main equation was,
dh/dt = 100 sec² Ø (dØ/dt)
Substitute the values,
dØ/dt = (dh/dt )/100 sec² Ø
= (10)/(100×2)
dØ/dt = 1/20 degree/sec.
Therefore, the rate of change of the angle of elevation of the balloon from the observer is 1/20 degree/sec.
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In trapezoid LOVE, the length of the midsegment is 2x inches. If one
parallel side is x inches, what is the length of the other parallel side?
The length of the other parallel side is 3x
How to determine the other parallel side?The given parameters are:
Midsegment= 2x
One parallel side = x
The midsegment is calculated as:
Midsegment = 0.5 * (sum of parallel sides)
So, we have
2x = 0.5 *(x + Other side)
Divide by 0.5
4x = x + Other side
Evaluate the like terms
Other side = 3x
Hence, the length of the other parallel side is 3x
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