Answer:
See below
Step-by-step explanation:
The denominator has to be divisible by 6 and 8
you could choose 24 48 72 96 etc
Find the midpoint of the segment with the following endpoints. (9, 8) and (3, 2)
Answer:
yoooo how you guys doing?
What is the measure of arc BEC in circle D?
134°
150°
209°
210°
The measure of arc BEC is 134°. The correct option is the first option 134°
Circle GeometryFrom the question, we are to determine the measure of arc BEC
In the given diagram,
Measure of angle C = 1/2 (measure of arc AB)
Reason: The measure of an inscribed angle is half the measure of the intercepted arc
∴ Measure of angle C = 1/2 (76°)
Measure of angle C = 38°
m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)
m∠A + 75° + 38° = 180°
m∠A + 113° = 180°
m∠A = 180° - 113°
m∠A = 67°
Measure of arc BEC = 2 × m∠A (Angle at the center is twice the angle at the circumference)
Measure of arc BEC = 2 × 67°
Measure of arc BEC = 134°
Hence, the measure of arc BEC is 134°. The correct option is the first option 134°
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i need this answer a.s.a.p!!!
Answer:
Should have ended with "at most -15, not "at least -15."
Step-by-step explanation:
[tex]\leq[/tex] -15 means less than or equal to -15
So it can be -15, but also anything less than -15. The phrase "at most -15, not "at least -15" says exactly that.
Wich seires of transformations will not map figure L onto itself
Answer:
cheesefnekeeorknfdndndndn
A store finds that the number of shirts sold increases each week. In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week 29 shirts were sold. The number of shirts sold each week represents an arithmetic sequence.
What is the explicit rule for the arithmetic sequence that defines the number of shirts sold in week n?
The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.
15, 22, 29,...
The first term a = 15
The common difference d = 22 - 15 = 7
a(n) = 15 + (n - 1)7
a(n) = 7n + 8
Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...
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The mean height of 20 boys and 14 girls is 161 cm. The mean height of 14 girls is 151 cm. Find the sum of the heights of 14 girls.
Answer: 2114
Step-by-step explanation:
m = sum of the terms / number of terms
151 = a/ 14
14 x 151 = a
2114 = a
Answer:
21.14 m
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
here mean is 151 cm and count = 14 , then
[tex]\frac{sum}{14}[/tex] = 151 ( multiply both sides by 14 to clear the fraction )
sum = 14 × 151 cm = 2114 cm = 2114 cm ÷ 100 = 21.14 m
Find ZABC
00
A
38⁰
32⁰
Answer:
The answer will be 38° + 32° = 70°
Please mark me as the brainliest
express x^2 +4x-7 in the form (x+a)^2 -b where a and b are integers
[tex]x^2+4x-7=x^2+4x+4-11=(x+2)^2-11[/tex]
Garth is packing boxes with books.the list shows how many books are in each 10 of boxes
The median of books to a box is 9 and The mean of books to a box is 11
The complete question is
Garth is packing boxes with books. The list shows how many boxes are in each of 10 boxes. 6,14,6,18,9,9,12,10,11,15
Which statement is true about the number of boxes packed to a box?
A) The median # of books to a box is 8
B) The median # of books to a box is 9
C) The mean # of books to a box is 11
D) The mean # of books to a box is 12
What is Mean and Median ?Mean is the average of the data given while the median is the middle point of the data.
It is given that
The data is
6, 14, 6, 18, 9, 9, 12, 10, 11, 15
The mean is
(6 + 14 + 6 + 18 + 9 + 9 + 12 + 10 + 11 + 15)/10 = 11
and the median is 9
Therefore Option B and C is the correct answer.
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An investment group compares returns on an account against the function represented in the table, where x is the time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the table?
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
The function over the interval is an increasing exponential function.
What is quadratic function?A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".
The complete question is
An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20
A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. So, time in years change does not give maximum total return on investment.
For increasing quadratic equation, the graph increasing at one side of the axis and decreases at other side.
For, Exponential function
When the exponential function then it shows total return on investment is not maximum.
When the exponential function is increasing it shows time goes, total return on investment is maximum.
Hence, the exponential function is increasing.
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Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?
[tex]\frac{log 25}{log 8}[/tex] is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.
Given that, Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.
We need to determine the expression did Devonte use.
What is the formula of change of base formula?The change of base formula says [tex]log_{a} b=\frac{log_{c}b }{log_{c}a}[/tex]. It means to change the base of a logarithm logb b a, we just use division [tex]\frac{log a}{log b}[/tex] where these logarithms can have any positive number as a base.
Now, log Subscript 8 Baseline 25 [tex]=log_{8}25[/tex]
[tex]=\frac{log_{10}25 }{log_{10}8}=\frac{log 25}{log 8}[/tex]
Therefore, [tex]\frac{log 25}{log 8}[/tex] is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.
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Answer:
D
Step-by-step explanation:
What is the value of 3 x squared minus 5 x y + 5 y squared for x = negative 6 and y = 2?
-68
-4
188
208
Answer: 188
Step-by-step explanation: If you plug in all the values, you get 188.
So, 3(-6){squared} - 5(-6)(2) + 5(2){squared)
3(36)+60+20
3(36)+80
108 + 80 = 188
I hope this helps!
Answer:
188
Step-by-step explanation:
3x² - 5xy + 5y² for x = -6 and y = 2
3(-6)² - 5(-6)(2) + 5(2)² =
= 3(36) + 60 + 5(4)
= 108 + 60 + 20
= 188
Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be simple, I need these done asap, I’d appreciate work shown C:
1) - 4 + 3x = 4 x - 8
2) -5x - 8 = 2
3) 12 r - 14 = 5 ( 2 - r )
4) 3 x - 8 = - ( 17 + 2x)
Ty!
Answer:
Step-by-step explanation:
Solving linear equation with one variable:1) -4 + 3x = 4x - 8
Add 4 to both sides
-4 + 3x + 4 = 4x - 8 + 4
3x = 4x - 4
Subtract 4x from both sides,
3x - 4x = -4x + 4x - 4
-x = -4
[tex]\sf \boxed{\bf x = 4}[/tex]
2) -5x - 8 = 2
Add 8 to both sides
-5x - 8 + 8 = 2 + 8
-5x = 10
Divide both sides by (-5)
[tex]\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}[/tex]
[tex]\sf \boxed{\bf x = -2}[/tex]
3) 12r - 14 = 5(2-r)
12r - 14 = 5*2 - 5*r
12r - 14 = 10 - 5r
Add 14 to both sides
12r - 14 + 14 = 10 - 5r + 14
12r = 24 - 5r
Add 5r to both sides
12r + 5r = 24
17r = 24
Divide both sides by 17
r = 24/17
4) 3x - 8 = -(17 + 2x)
3x - 8 = -17 - 2x
Add 8 to both sides
3x - 8 + 8 = -17 - 2x + 8
3x = -9 - 2x
Add 2x to both sides
3x + 2x = -9
5x = -9
Divide both sides by 5
[tex]\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}[/tex]
Answer:
1) x = 4
2) x = -2
3) [tex]r= \frac{24}{7}[/tex] [tex](1\frac{7}{17})[/tex]
4) [tex]x=-\frac{9}{5}[/tex] [tex](-1\frac{4}{5})[/tex]
Step-by-step explanation:
hope this helps!!
(work shown in photo :) )
f(x) = 2x2 + 3x + 5,
Answer:
...
Step-by-step explanation:
Which inequality represents all the solutions of
9(4x-8) < 4(6x + 9)?
Answer:
x < 9
Step-by-step explanation:
Our original inequality:
[tex]9(4x-8) < 4(6x+9)[/tex]
Firstly, let's expand the brackets on both sides:
[tex]36x - 72 < 24x + 36[/tex]
Now, we add the 72 over to isolate the [tex]x[/tex]:
[tex]36x < 24x + 108[/tex]
Next, we take away the [tex]24x[/tex] to isolate the [tex]x[/tex]:
[tex]12x < 108[/tex]
Finally, we divide both sides by 12 to convert the [tex]12x[/tex] to [tex]x[/tex]:
[tex]x < 9[/tex]
This means our final answer is [tex]x < 9[/tex].
A sample has a sample proportion of 0.3 . Which sample size will produce the
widest 95% confidence interval when estimating the population parameter?
Answer: A 100
I did the text the other day
A sample size of 50 will produce the widest 95% confidence interval when estimating the population parameter.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
To produce the widest confidence interval, we need to choose the smallest sample size.
This is because as the sample size decreases, the margin of error increases, leading to a wider confidence interval.
Among the given options, the smallest sample size is 50.
Therefore, selecting a sample size of 50 will produce the widest 95% confidence interval when estimating the population parameter.
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At which value(s) of x does the graph of the function F(x) have a vertical
asymptote? Check all that apply.
F(x) =X/(x-4)(x+2)
Answer:
x = 4 & x = -2
Step-by-step explanation:
For rational functions (functions which themselves are a fraction, with polynomial pieces in the numerator and polynomial pieces in the denominator), these functions have "discontinuities" anywhere the denominator is equal to zero. Usually, those discontinuities are "vertical asymptotes". Occasionally, those discontinuities are "holes".
A discontinuity is a "hole," only if both the numerator AND the denominator are zero for that same value of x. If that value of x doesn't make the numerator zero (it only makes the denominator zero), the discontinuity is just a vertical asymptote.
Finding the discontinuities:To find the discontinuities, we'll be making an entirely separate equation. It's not the function, it's not using algebra to change both sides of the equation/function we started with ... it's pretty much just like scratch work to figure out something that you can use later (although, your teacher may want to see your work on how you found them).
The equation we need for this is the denominator of our rational function set equal to zero:
[tex](x-4)(x+2)=0[/tex]
Note, this equation doesn't have a denominator. It's not the original function. It's like scratch work. This equation is designed as if we want the denominator of our function to be zero, and to find the values of x that will make us divide by zero in the original function.
There are many ways to solve this equation. The easiest is remembering the zero product property. The Zero Product property states that if the product of two things is equal to zero, then at least one of the original things had to be zero: [tex]\text{If }a*b=0,\text{ then }a=0\text{ or }b=0 \text{ (or both)}[/tex]
Noting that our equation is a product of two things, and is equal to zero, the zero product property allows us to separate our equation into two equations:
[tex]x-4=0, \text{ or } x+2=0[/tex]
Solving each equation by isolating x, by adding or subtracting the relevant number from both sides of the equations:
[tex]x=4, \text{ or } x=-2[/tex]
So these values of x will make the denominator of the original function zero. These are both discontinuities of the function, so while when we were solving for values of x that would make the denominator zero, it was appropriate to say "or", we know that both of these values are discontinuities and now we list them both saying "and":
Discontinuities: [tex]x=4 \text{ and } x=-2[/tex]
But wait! Are they holes, or are they just vertical asymptotes? Do we have one of each?
Testing to see if the discontinuities are asymptotes:
To test and see if the discontinuities we've found are holes, we need to substitute them into the numerator of the original function, and see the result.... but just the numerator (we already know they will make the denominator zero, and we can't divide by zero)
Since the numerator is just x, we're checking to see if 4=0, or if -2=0. They don't. So, for this function, both of the discontinuities are vertical asymptotes.
Listing the asymptotes
Vertical asymptotes at [tex]x=4 \text{ and } x=-2[/tex]
The velocity of a particle can be modeled by the function v(t)=1/10(3t-8)^3+2. Which graph accurately shows the velocity of the park or at any time, t?
The graph that accurately shows the velocity of the park or at any time is as shown in the attached image.
How to draw a function Graph?Velocity is defined as the rate of change of position of object with respect to time. Velocity is also defined as the speed of an object moving in a definite direction.
Velocity is a vector quantity and so it has both magnitude and direction. Its' SI unit is in meters per second.
The velocity of a particle is modeled by the function;
v(t) = ¹/₁₀(3t - 8)³ + 2
The given velocity function is cubic function and as such the attached graph shows the velocity of the particle at any time.
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A _______ random variable has infinitely many values associated with measurements.
Answer:
Continuous
A continuous random variable has infinitely many values, and those values can be associated with measurements on a continuous scale in such a way that there are no gaps or interruptions.
What is 10 1/2÷214 ?
Answer:
21/428 or 0.04 906542056074...
Step-by-step explanation:
To solve the equation -2x²-x+1=0 using the quadratic formula, what would be the value of b?
0
-2
-1
1
Answer: -1
Step-by-step explanation:
The value of b is the coefficient of x.
what is the polar form of -3+ v3i?
So
[tex]\\ \rm\Rrightarrow r=\sqrt{a^2+b^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{(-3)^2+(\sqrt{3})^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{9+3}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{12}[/tex]
[tex]\\ \rm\Rrightarrow r=2\sqrt{3}[/tex]
Find theta
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{y}{x})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{\sqrt{3}}{3})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{-1}{\sqrt{3}})[/tex]
[tex]\\ \rm\Rrightarrow \theta=\dfrac{5\pi}{6}[/tex]
Polar form
[tex]\\ \rm\Rrightarrow r(cos\theta+isin\theta)[/tex]
[tex]\\ \rm\Rrightarrow 2\sqrt{3}(cos\dfrac{5\pi}{6}+isin\dfrac{5\pi}{6})[/tex]
Rashaad leans a 16-foot ladder against a wall so that it forms an angle of 66° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.
Trigonometry: Rounded to the nearest tenth of a foot, the answer is 15.2 feet.
What is trigonometry?Trigonometry is a branch of mathematics that studies the relationships between side lengths and angles of triangles. It is used to calculate unknown side lengths and angles of triangles when given other values, and to solve various problems in different fields such as engineering, navigation, astronomy, and physics.
The horizontal distance between the base of the ladder and the wall can be calculated using trigonometry.
The formula for finding the opposite side of a triangle (in this case, the horizontal distance) when given the angle and the adjacent side is: opposite side = adjacent side x tan (angle)
Therefore, the horizontal distance is 16 feet x tan(66°) = 15.2 feet.
Rounded to the nearest tenth of a foot, the answer is 15.2 feet.
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your favorite basketball player has an 90% free-throw percentage. In the next game that s/he plays they shoot 12 free throws. What is the probability that they make all 12
The probability that favourite basketball player make all 12 is 0.
Give 90% free- throw percentage of favourite basketball player and he has taken 12 shots in the game.
Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.
This is a binomial probability question "makes" is what some writer call a "success". In the binomial probability distribution, the probability of r successes in trials is :
=[tex]nC^{r}[/tex][tex]p_{r}p^{r}(1-p)^{n-r}[/tex]
p is the probability of "success" n p r=n!/((n-r)!
n [tex]p_{n}[/tex]=0
In this problem , n=12, r=12,p=0.9. the probability of exactly 12 made shots out of 12 attempted is 12[tex]C_{12} (0.90)^{12} (1-0.90)^{0}[/tex].
=12!/12!(12-12)!*[tex](0.90)^{12}(0.10)^{0}[/tex]
=0
Hence the probability that they make all 12 is 0.
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What value represents the vertical translation from the graph of the parent function f(x)=x² to the graph of the function
g(x)=(x+5)²+3?
Answer: 3
Reason:
Going from x^2 to (x+5)^2 means we shift the graph 5 units to the left.
The +3 at the end shifts the parabola up 3 units. This is because we add 3 to each y value. For instance a point like (0,25) moves to (0,28)
find the surface area of the composite figure
The total area of the given composite figure is 84.8 ft²
How to find the area of a composite figure?We are given;
Area of Triangle = 5.6 ft²
Thus, area of 2 triangles = 2 * 5.6 = 11.2 ft²
Area of rectangles = 2(3.6 * 2) + 2(2 * 4) + 3(4 * 3.6)
Area of rectangles = 14.4 + 16 + 43.2
Area of rectangles = 73.6 ft²
Total area of composite figure = 73.6 ft² + 11.2 ft²
Total area of composite figure = 84.8 ft²
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e) If the cheetah made a round-trip and took half the amount of time on the return trip as on the front end of the trip, what would be the relationship between the average rates on each leg of the trip? Using a complete sentence, explain how you arrived at this conclusion.
The relationship between the average rates is that ; The average rate of return trip is twice the average rate of front trip.
How to determine algebra relationship?From the complete question seen online, we can say that;
Time taken on front trip = t
Time taken on return trip = 1/2 × t = t/2
Relationship between speed(Rate) and time is;
Rate ∝ 1/time
This means that Rate is inversely proportional to time.
Thus, for the front trip, the rate is; r = 1/t
For return trip, the rate is; R = 1/(t÷2)
R = 1 × 2/t
R = 2/t
Rate of front trip = 1/t
Rate of return trip = 2/t
Thus, we can say that the average rate of return trip is twice the average rate of front trip.
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PLEASE HELP ASAP!!!!!
Which equation is the polar equivalent to the equation y=−3√x?
A. 0= pi/6
B. 0=pi/3
C. 0=2pi/3
D. 0=5pi/6
The value of θ = pi /3 , Option B is the correct answer.
What is an Equation ?A statement in mathematics used to correlate two algebraic expressions by using an equal sign is called an Equation.
x = rcosθ
y = rsinθ
The equation given is
[tex]y = -\sqrt{3} \;x[/tex]
rsinθ = - [tex]\sqrt{3}[/tex] [tex]\rm {r \; cos\; \theta}[/tex]
sin θ / cos θ = - [tex]\sqrt{3}[/tex]
tan θ = -[tex]\sqrt{3}[/tex]
θ = pi /3
Therefore Option B is the correct answer.
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Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
-3x+3y=9
2x-7y=-14
Alse please don't take long
Choices are attached
Answer:
[tex]\sf C) \ x = -1\dfrac{2}{5} , \ y = \ 1\dfrac{3}{5}[/tex]
Given equations:
a) -3x + 3y = 9b) 2x - 7y = -14Make x the subject in equation 1:
-3x + 3y = 9-3x = 9 - 3yx = y - 3Substitute this into equation 2:
2(y - 3) - 7y = -14
2y - 7y = -14 + 6
-5y = -8
y = -8/-5
y = 1.6
Then x = y - 3
= 1.6 - 3
= -1.4
Solution: (x, y) ⇒ (-1.4, 1.6)
If = 12 –3 a,find the value ofxwhen a= 8
Answer:
-12
Step-by-step explanation:
x = 12-3a
When a=8:
x = 12-3(8)
x = 12 - 24
x = -12