Answer:
[TeX] (x+\frac{17}{2})^{2}=\frac{269}{4} [/TeX]
Step-by-step explanation:
Given the expression:
[TeX] x^2+17x=-5 [/TeX]
To complete the square,
First Step: Identify the Coefficient of x.
Coefficient of x=17
Second Step: Divide the coefficient of x by 2.
Third Step: Square your result from the second step.
This gives:
[TeX] (\frac{17}{2})^{2}[/TeX]
Fourth Step: Add your result to both sides if the equation.
[TeX] x^2+17x+(\frac{17}{2})^{2}=-5+(\frac{17}{2})^{2} [/TeX]
Fifth Step:Express the left hand side as a square
[TeX] (x+\frac{17}{2})^{2}=-5+(\frac{17}{2})^{2} [/TeX]
Sixth Step:Simplify the Right Hand Side
[TeX] (x+\frac{17}{2})^{2}=\frac{269}{4} [/TeX]
These are the values that make an equivalent number sentence.
Please Help, 35 Points And Brainliest...
Stefan, a 36-year-old male, bought a $150,000, 10-year life insurance policy from Fly-by-Night Life Insurance through his employer. Stefan paid weekly.
What is Stefan’s annual premium?
Explain how you found your answer and show all work
A 36 year old male will pay $4.55 per $1,000 for a 10 year policy,
He bought a $150,000 policy:
150,000 / 1000 = 150
Multiply the rate per 1000 by 150:
4.55 x 150 = 682.50
His annual premium is $682.50
Answer:
His annual premium is $682.50
Step-by-step explanation:
Determine whether each event is impossible,
unlikely, as likely as not, likely, or certain:
a) Bonne's Spanish Club meets on Tuesday
afternoons. How likely is it that Bonnie is at the
mall on Tuesday afternoon?
Answer:
likely
Step-by-step explanation:
At a sale this week, a table is being sold for $255. This is a 32% discount from the original price. What's the original price.
Answer:
12$
Step-by-step explanation:
Answer:
$375
Step-by-step explanation:
Sale price = original price - (markdown percentage)(original price), or
Sale price = (1 - markdown percentage)(original price
That 32% discount is equivalent to multiplying the original price by 0.32.
Here, $255 = (1 - 0.32)(original price), or
$255 = 0.68(original price)
Then (original price) = $255/0.68 = $375
Lucy and Katy are registering for a sports league for next year. There are 2 sports (volleyball and basketball) and 3 seasons (fall, winter, and spring) to choose from. They each created a display to represent the sample space of randomly picking a sport and a season. Whose display correctly represents the sample space?
Answer:
The sample space is: AV, WV, SV, AB, WB, and SB
Step-by-step explanation:
The sample space has all the possibilities in which Lucy and Katy can register for a sports league. Now, they have 2 sports and 3 seasons.
So, let's call V that they register in volleyball and B that they register in basketball. Additionally, let's call A that they register for fall, W that they register for winter, S that they register for spring.
It means that the sample space is:
AV, WV, SV, AB, WB, and SB
where, for example, AV is the possibility to be registered in fall and in volleyball.
Therefore, the display that correctly represents the sample space is the one that has all these possibilities.
A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. Of those who buy iPods 35% enjoy listening to country music. If N is the number of young people between 15 and 25. How many people between 15 and 25 this year will enjoy listening to country music on their iPods?
a) 14N.
b) 1.4N.
c) 0.14N.
d) 1.14N.
Answer:
The option C) 0.14N is correct ∴ 35 % are enjoy listening to Country music is 0.14NStep-by-step explanation:
Given that "A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. If N is the number of young people between 15 and 25"
To find how many people between 15 and 25 this year will enjoy listening to country music on their iPods:From the given we can write
Total people between 15 and 25 age = N
Number of people who buys iPods is 40% of N is
[tex] = \frac{40}{100}\times N[/tex]
= 0.4N
∴ Number of people who buys iPods is 40% of N is 0.4NFrom the given we have that 35 % are enjoy listening to Country music means
[tex]= \frac{35}{100}\times 0.4N[/tex]
[tex]=0.35\times 0.4N[/tex]
= 0.14N
∴ 35 % are enjoy listening to Country music is 0.14N Hence option C) 0.14N is correct.Final answer:
Calculating 35% of 40% of the young people between 15 and 25 years who will buy an iPod, the number who will enjoy listening to country music on their iPods is 0.14N, making choice (c) the correct answer.
Explanation:
To determine the number of young people between 15 and 25 years old who will enjoy listening to country music on their iPods this year, we can first calculate the number of young people who will buy an iPod. Since 40% of the group is expected to buy an iPod, this is 0.40N. Next, out of these iPod owners, 35% enjoy listening to country music. Therefore, we can find the number of iPod owners who enjoy country music by taking 35% of the 40%, which is 0.35 times 0.40N. This calculation results in 0.14N young people enjoying country music on their iPods.
This leads us to the answer choice (c) 0.14N.
In order to answer the question correctly, please use the following image below:
Use the diagram below to find the measure of LM. (The symbol is in the image below)
What is the degree measurement of LM?(The symbol is in the image below)
Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)
Answer:
The value of ∠LPM is 60°
Step-by-step explanation:
It is given that a straight line is 180° and line LN is a straight line. So in order to find angle LM, you have to substract angle MN from 180° :
∠LPN = 180°
∠MPN = 120°
∠LPM + ∠MPN = 180°
∠LPM = 180° - ∠MPN
= 180° - 120°
= 60°
Answer:
60°
Step-by-step explanation:
LPN is a diameter (straight line passing through the centre)
X + 120 = 180
X = 60°
What type of relationship does there appear to be between the day of the week and the number of newspapers sold?
A) no relationship
B) quadratic relationship
C) exponential relationship
D) positive linear relationship
Answer:
A
Step-by-step explanation:
hi.
On the school playground, the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars. What is the distance between the tire swing and the monkey bars?
Answer:
Step-by-step explanation:
According to the question, a slide is 7 feet due west of a tire swing and 7 feet due right of the monkey bars and we were asked the calculated the distance between them.
If you look at it carefully, since the slide is due west of the tire swing and 7 feet due south of the monkey bars, you'll notice a shaped form, the shape formed is an inverted right-angled triangle.
Right-angled Triangles can be solved using pythagoras' theorem which says [tex]a^{2} + b^{2} = c^{2}[/tex].
a= 7, b=7, c=??
[tex]c^{2} = 7^{2} + 7^{2}[/tex]
[tex]c =\sqrt{98}[/tex]
c = 9.9 feet
Final answer:
The distance between the tire swing and the monkey bars is found using the Pythagorean theorem, which gives approximately 9.90 feet.
Explanation:
To find the distance between the tire swing and the monkey bars, we can model the situation using a right triangle. The slide being 7 feet due west of the tire swing and 7 feet due south of the monkey bars forms a right-angled triangle with the slide as the vertex where the right angle is, the tire swing and monkey bars forming the other two vertices.
Using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b), we can find the distance (hypotenuse) between the tire swing and the monkey bars.
In other words, we have:
a² + b² = c²
Given:
a = 7 feet (distance from slide to tire swing)
b = 7 feet (distance from slide to monkey bars)
We can calculate:
c² = 72 + 72 = 49 + 49 = 98
The distance (c) is the square root of 98, which is approximately 9.90 feet.
Therefore, the distance between the tire swing and the monkey bars is approximately 9.90 feet.
Write the proportion of 5 and 20
Answer:
5 : 20 = 1 : 4
Step-by-step explanation:
Common multiple is 5 so divide each number bu five.
Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500seventh grade students in the school predict the number of seventh grade students in his school
Complete Question:
Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500 seventh grade students in the school predict the number of seventh grade students in his schoolwhose favorite food is pizza. 58 of the 125 students likes pizza.
Answer:
n = 696
Step-by-step explanation:
Sample size = 125
number of students out of the 125 that like Pizza = 58
Probability that a student will like pizza, P = 58/125
P = 0.464
Since there are 1500 seventh grade students in the school, based on the probability that a student likes pizza = 0.464, number of seventh grade students in the school that like pizza will be:
n = 100 * P
n = 1500 * 0.464
n = 696
Mary lost 30 lbs. Before her diet she weighed 180 pounds. What is the percent of change?
Answer:
The percent change is 16.67
Step-by-step explanation:
Answer:
16.7%
Step-by-step explanation:
Her weight decreased by 30 lb.
Expressed as a fraction: (-30 lb)/(180 lb) = (-1/6)
As a percentage, her weight loss came to (-1/6)(100%) = 16.7%
It took Jerry 3 4/5 hours to get to his grandmother's house. He walked for 2/5 hour to the train station, rode on a train for 1 4/5 hours, and then took a bus. How much time did Jerry spend riding on the bus?
Jerry spent 4/5 hour riding on the bus.
First, let's find the total time Jerry spent walking and riding the train:
Walking time = 2/5 hour
Train ride time = 1 4/5 hours
To find the total time spent, add these two:
2/5 + 1 4/5 = (2/5) + (1 + 4/5) = (2/5) + (1 + 4/5) = (2/5) + (5/5 + 4/5) = (2/5) + (9/5) = (2 + 9)/5 = 11/5 hours
Now, since Jerry spent a total of 11/5 hours walking and riding the train, to find out how much time he spent on the bus, we subtract this from the total time it took him to get to his grandmother's house:
Total time = 3 4/5 hours
Bus ride time = Total time - (Walking time + Train ride time)
= 3 4/5 - 11/5
= (15/5) - (11/5)
= 4/5 hours
Casey has 281 tennis balls. She will put them in containers that hold 3 tennis balls. About how many containers will Casey use? A) 50 B) 70 C) 80 D) 90
Answer:
90
Step-by-step explanation:
If we have total around 281 items, and we can divide them into groups of 3.
We can make around 281/3 groups which is about 90
Please , help me I completely don’t understand
answer:
yeah i dont knoww....
A researcher wants to examine the effect of caffeine on sleep. She splits participants into two groups. The first group drinks caffeinated-coffee at 8pm and the second group drinks decaf-coffee at 8pm. The researcher records what time participants fall asleep. What is the independent variable
Answer:
Type of coffee
Step-by-step explanation:
First, that is, it is the independent variable.
It is the variable that does not depend on another value or other circumstance, it is the variable that generally would be the options to choose from and depending on what is chosen, different results are obtained.
In this case, the variable that has this behavior is the type of coffee that will be taken, whether it is caffeinated or decaffeinated coffee.
Give an example of a sequence satisfying the condition or explain why no such sequence exists. (a) A divergent sequence {an} such that {a2n} converges. (b) A monotonically increasing sequence that converges to 0. (c) A convergent sequence that is not bounded. (d) A monotonically decreasing bounded sequence that diverges.
Answer:
Step-by-step explanation:
a) Consider the sequence [tex]a_n =1 [/tex] if n is odd, and [tex] a_n= -1[/tex] if n is even. So, the sequence diverges (since as n tends to infinity the sequence doesn't approach any particular number), but the subsequence of the even integers is convergent to -1 since it is constant.
b) consider the sequence [tex] a_n = -e^{-n}[/tex]. The function f(x) = [tex] e^{-x}[/tex] when x is real is a monotolically decreasing function and tends to 0. Then, when multiplying by a minus sign, it becomes a monotonically increasing function that tends to 0. Hence, the given sequence is monotonically increasing and converges to 0.
c) Suppose that the sequence [tex]a_n[/tex] converges to a. So, from an specific n and on, the values of [tex]a_n[/tex] are really close to a. So, for almost all the value of the sequence, they are less than a+1 and greater than a-1. Hence it must be bounded.
d) It is a theorem that a monotonically decreasing/increasing sequence that is bounded must converge, so such a sequence can't exist.
In mathematics, various types of sequences can be studied. Examples of sequences satisfying certain conditions are presented in this solution.
Explanation:(a) An example of a divergent sequence {an} such that {a2n} converges is the sequence {1, -1, 1, -1, ...}. The terms of the sequence alternate between positive and negative 1, so the sequence does not converge. However, the subsequence {a2n} consists of only positive 1's, which converges to 1.
(b) An example of a monotonically increasing sequence that converges to 0 is the sequence {1/n} for n = 1, 2, 3, ... Each term of the sequence is smaller than the previous term, and as n approaches infinity, the terms get closer and closer to 0.
(c) It is not possible for a convergent sequence to be unbounded. By definition, a convergent sequence approaches a specific limit, which means it cannot go beyond a certain value. If a sequence is not bounded, it cannot converge.
(d) An example of a monotonically decreasing bounded sequence that diverges is the sequence {(-1)^n/n} for n = 1, 2, 3, ... The terms of the sequence alternate between positive and negative values, but as n approaches infinity, the terms get smaller and smaller, converging towards 0. Therefore, the sequence is bounded. However, the sequence does not converge to a specific value, so it diverges.
Learn more about sequences here:https://brainly.com/question/30262438
#SPJ3
what is the fraction 3/4 over 100 as a decimal and percent?
Answer: 75% or .75
Step-by-step explanation:
Answer:
0.75%
Step-by-step explanation:
Start off by laying it out
3
------------
4
--------------------
100
Now that we have a visual representation of it:
Multiply 3/4 by its opposite reciprocal.
This means multiply 3/4 by 1/100 which
when you flip and multiply like that, you are technically dividing
So now lets look at it like this
3 1
---- x ------------
4 100
Here we'll multiply straight across which goes as follows
In the numerator our answer will be 3*1
In the denominator is 4*100
The final fraction.
3/400
Now lets turn that into a decimal
0.0075
Then multiply it by 100 and add a % on the end and done
0.75%
A student earned grades of Upper Aâ, Upper Câ, Upper Aâ, Upper Câ, and Upper D. Those courses had the corresponding numbers of credit hours 3â, 4â, 3â, 2â, and 4. The grading system assigns quality points to letter grades asâ follows: Aequalsâ4; Bequalsâ3; Cequalsâ2; Dequalsâ1; Fequals0. Compute the grade point averageâ (GPA) as a weighted mean and round the result with two decimal places. If theâ Dean's list requires a GPA of 3.00 orâ greater, did this student make theâ Dean's list?
Answer:
G.P.A.=2.5
The Student did not make the Dean's List
Step-by-step explanation:
The Students Grade and Subject Weight are listed below.
[TeX]\left|\begin{array}{c|c|c|c}------&-------&------&------\\ Grade&Credit Hour& Grade Weight & Product \\------&-------&------&------\\ A & 3 & 4 & 12 \\ C & 4 & 2 & 8\\A & 3 & 4 & 12\\C & 2 & 2 & 4\\D & 4 & 1 & 4\\------&-------&------&------\\Total& &16 &40 \end{array} \right| [/TeX]
Grade Point Average=Total Credit Hour÷Total Number of Hours
=40÷16
G.P.A.=2.5
Since the Dean's list requires a GPA of 3.0 or greater, the student does not make the Dean's list.
When will my dad come back from the store?
Wait 8 to 10 years and he might come back.
Answer:
at this point, probably never
Step-by-step explanation:
well besides that, have a great day!
Steve Herr is an architect in Minneapolis, Minnesota. His latest project is designing a park. On the blueprint, the park is determined by a plane which contains the points at (1,0,3), (2,5,0), and (3,1,4) One of the features of the park is a monument that must be perpendicular to the ground. Find a nonzero vector, representing the monument, perpendicular to the plane defined by the given points.
Answer:
8i - 7j - 9k
Step-by-step explanation:
We have three points:
A (1,0,3)
B (2,5,0)
C (3,1,4)
First of all, we write the following two vectors:
[tex]AB=(2-1,5-0,0-3)=(1,5,-3)[/tex]
[tex]BC=(3-2,1-5,4-0)=(1,-4,4)[/tex]
These two vectors connect A with B and B with C, and since these 3 points lie on the plane, the two vectors also lie on the plane.
Therefore, the cross product of these two vectors must be a vector perpendicular to the plane.
The cross product of the two vectors is:
[tex]AB \times BC = i(5\cdot 4 -(-3\cdot-4))+j(-3\cdot 1 -1\cdot 4)+k(1\cdot -4-5\cdot 1)=\\=8i-7j-9k[/tex]
And the equation of the plane can be found as:
[tex]8(x-a_x)-7(y-a_y)-9(z-a_z)=0\\8(x-1)-7(y-0)-9(z-3)=0\\8x-7y-9z=-19[/tex]
Answer:
A on Edge 2020
Step-by-step explanation:
The maximum value of y in the equation y = -x2 + 6x – 8 is y=
Answer:
1
Step-by-step explanation:
A graph shows you very quickly that the maximum value of y is 1.
__
There are several ways to get there algebraically. The axis of symmetry is given for ax^2 +bx by x=-b/(2a). Here, that value is x=(-6)/(2(-1)) = 3. The maximum y-value will correspond to this x-value:
y = -3² +6·3 -8 = -9 +18 -8 = 1
The maximum value of y is 1.
__
The axis of symmetry can also be found by factoring:
y = -(x -4)(x -2)
It is halfway between the values of x that make these factors zero, so is ...
x=(4+2)/2 = 3
For that value of x, we find y to be ...
y = -(3 -4)(3 -2) = 1
__
We can also rearrange the equation to vertex form:
y = -(x^2 -6x) -8
= -(x^2 -6x +9) -8 -(-9)
= -(x -3)^2 +1
The vertex is (3, 1), so the maximum value of y is 1.
2(x + 6) = 18
what is the answer if yall cant tell im not good at math
Answer:
x = 3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
x + 6 = 18/2
x+6=9
x=9-6
x=3
I need help on this on my bros
Step-by-step explanation:
By 30°-60°-90° triangle theorem:
[tex]15 = \frac{1}{2} \times c.. (side\:opposite \: to \:30°)\\ c = 15 \times 2 \\ \\ \huge \red{ \boxed{c = 30 \: m}} \\ \\ b = \frac{ \sqrt{3} }{2} \times c.. (side\:opposite \: to \:60°) \\ \\ b = \frac{ \sqrt{3} }{2} \times 30 \\ \\ \huge \purple{ \boxed{b = 15 \sqrt{3} \: m}}[/tex]
Which statement best describes the interquartile range of this set of weights?
{120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb}
the difference between the first and sixth elements of the set as it is written above
the difference between the second and fifth elements of the set as it is written above
the difference between the first and sixth elements of the set after it has been ordered from least to greatest
the difference between the second and fifth elements of the set after it has been ordered from least to greatest
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
the difference between the second and fifth elements of the set after it has been ordered from least to greatest
You drop a ball from a stair case that is 36 ft high. By the time you get down the stairs to measure the height of the bounce, the ball has bounced four times and has a height of 2.25 ft after its fourth bounce. How high did the ball bounce after it first hit the floor?
Answer:
18 feet
Step-by-step explanation:
After each bounce, the ball reaches only a percentage of the maximum height it reached before.
The first height is 36 feet, after the first bounce, it will be 36*r, where r is the ratio of the height the ball can still reach by the previous maximum height.
In the second bounce, the height is 36*r^2
In the third bounce, the height is 36*r^3
In the fourth bounce, the height is 36*r^4, and this value is 2.25 ft, so:
36*r^4 = 2.25
r^4 = 2.25/36
r^4 = 0.0625
r = 0.5
So, after the first bounce, the height is:
36*r = 36*0.5 = 18 feet
The height should be 18 feet.
Given that,
You drop a ball from a stair case that is 36 ft high. By the time you get down the stairs to measure the height of the bounce, the ball has bounced four times and has a height of 2.25 ft after its fourth bounce.Based on the above information, the calculation is as follows:
The first height is 36 feet.
Now after the first bounce, it will be 36r
Here r is the ratio of the height
In the second bounce, the height is [tex]36\times r^2[/tex]
In the third bounce, the height is [tex]36\times r^3[/tex]
In the fourth bounce, the height is [tex]36\times r^4[/tex], and this value is 2.25 ft, so:
Now
[tex]36\times r^4 = 2.25\\\\r^4 = 2.25\div 36\\\\r^4 = 0.0625[/tex]
r = 0.5
Now
So, after the first bounce, the height is:
= 36r
= 36(0.5)
= 18 feet
Therefore we can conclude that The height should be 18 feet.
Learn more: brainly.com/question/17429689
A circular garden is surrounded by a rectangular grassy
area. The garden takes up nearly half the grassy area.
The base of the grassy area is 6 yards by 3 yards.
Use the base of the grassy area to find the approximate
area of the circular garden. Use pi = 3.14. If necessary,
round to the nearest tenth.
O 4.7 ydº
O 7.1ydº
O 9.4 yd?
O 28,3 yd2
3 yards
6 yards
Answer:
7.1 yds
Step-by-step explanation:
i just answered it
Answer:
7.1
Step-by-step explanation:
certain magical substance that is used to make solid magical spheres costs $500 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $30 per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere?
Answer:
The value of r to have maximum profit is 3/25 ft
Step-by-step explanation:
To find:
The size of the sphere so that the profit can be maximized.
Manufacturing cost of the solid sphere = $500/ ft^3
Selling price of sphere (on surface area) = $30 / ft^2
We see that the manufacturing cost dealt with he volume of the sphere where as the selling price dealt with the surface area.
So,
To maximize the profit (P) .
We can say that:
⇒ [tex]P(r)=(unit\ cost)\ (SA) - (unit\ cost)\ (Volume)[/tex]
⇒ [tex]P(r)=(30)\ (4 \pi r^2) - (500)\ (\frac{4\pi r^3}{3} )[/tex]
⇒ [tex]P(r)=(120)\ (2\pi r^2) - (\frac{500\times 4}{3} )\ \pi r^3[/tex]
⇒ [tex]P(r)=(120)\ (\pi r^2) - (\frac{2000}{3} )\ \pi r^3[/tex]
Differentiate "[tex]P[/tex]" and find the "[tex]r[/tex]" value then double differentiate "[tex]P[/tex]", plug the "[tex]r[/tex]" values from [tex]P'[/tex] to find the minimum and maximum values.
⇒ [tex]P(r)'=(120)\ 2\pi r - (\frac{2000}{3} )\ 3\pi r^2[/tex]
⇒ [tex]P(r)'=(240)\ \pi r - (2000)\ \pi r^2[/tex]
Finding r values :
⇒ [tex](240)\ \pi r - (2000)\ \pi r^2 =0[/tex]
Dividing both sides with 240π .
⇒ [tex]r-\frac{25}{3} r^2 =0[/tex] ⇒ [tex]r(1-\frac{25}{3} r) =0[/tex]
⇒ [tex]r=0[/tex] and [tex]r=\frac{3}{25}[/tex]
To find maxima value the double differentiation is :
⇒ [tex]P(r)'=(240)\ \pi r - (2000)\ \pi r^2[/tex] ...first derivative
Double differentiating :
⇒ [tex]P(r)''=(240\pi) - (2000\pi)\ 2(r)[/tex] ...second derivative
⇒ [tex]P(r)''=(240\pi) - (4000\pi)\ (r)[/tex]
Test the value r = 3/25 dividing both sides with 240π
⇒ [tex]1 - \frac{50\pi r}{3}[/tex]
⇒ [tex]1 - \frac{50\times \pi\times 3 }{3\times 25}[/tex]
⇒ [tex]-5.28 < 0[/tex]
It passed the double differentiation test.
Extra work :
Thus:
⇒ [tex]P(r)=(120)\ (\pi r^2) - (\frac{2000}{3} )\ \pi r^3[/tex]
⇒ [tex]P(r)=(120)\times (\pi (\frac{3}{25} )^2) - (\frac{2000}{3} )\times \pi (\frac{3}{25} )^3[/tex]
⇒ [tex]P(r) =1.8095[/tex]
Finally r =3/25 ft that will maximize the profit of the manufacturing company.
There are 18 boys and 24 girls on a swimming team.The instructor wants to divide them into groups of equal size with the greatest nunber of kids possible in each group. How many kids should be in each group?
Answer:
21 kids
Step-by-step explanation:
Let's get started!
Ok, let's relay some information!
Boys: 18
Girls: 24
18 + 24
= 30 + 12
= 42
42 kids total
If we divide by two we get an even number also since it is divisible by two that means we can have the greatest amount of kids there.
42 ÷ 2
= 21
21 kids
Identify the functions that have the given property.
The domain is all real numbers for .
An x-intercept is (pi,0) for .
The minimum value is –1 for .
An x-intercept is (pi/2,0) for .
Answers
1, both the sine and cosine function
2, the sin function
3, both the sine and cosine function
4, the cosine function
Answer:
this is right!
Step-by-step explanation:
i got it right on edge
The functions that have the given properties are the sine and cosine functions. The sine function is odd, with x-intercepts at integer multiples of pi and a minimum value of -1 at x=3pi/2. The cosine function is also odd, with x-intercepts at odd multiples of pi/2 and a minimum value of -1 at x=pi.
Explanation:The functions that have the given properties are the sine and cosine functions.
The sine function: The sine function is odd, which means that it satisfies the property of being an odd function. The x-intercepts of the sine function are at integer multiples of pi, and the minimum value is -1 at x=3pi/2.The cosine function: The cosine function is also an odd function. The x-intercepts of the cosine function are at odd multiples of pi/2, and the minimum value is -1 at x=pi.Therefore, the functions that satisfy all the given properties are the sine and cosine functions.
Resolución de problemas mediante sistemas de ecuaciones. plantear un problema, cuya expresión algebraica coincida para cada uno de los siguientes sistemas de ecuaciones, no debe resolver el sistema de ecuaciones. a. X +y = 13 b. 3x - 30y = 15 c. 8x+3y=37 d. X-5y=4 x-y=1 2x + 10y = 40 8x-3y=50 3x+5y=32
We want to find word problems that gives rise to the following systems of algebraic equations.
a)
x+y=13
x-y=1.
Answer: The sum of the ages of two students is 13. The difference between their ages is 1. Find the ages of the two students.
b)
3x-30y=15
2x+10y=40
Answer:
The difference between 3 times Dan's age and 30 times Mark's age is 15. If the sum of 2 times Dan's age and 10 times Mark's age is 40. Find the ages of Dan and Mark.
c)
8x+3y=37
8x-3y=50
Answer:
The sum of 8 times an eagle's distance above sea level in feet and a herring's distance below sea level is 37 feet. The difference between 8 times an eagle's distance in feet above sea level and 3 times the herring's distance below sea level is 50. Find the distance of the eagle and the herring relative to the surface of the sea.
d) x-5y=4
3x+5y=32
The difference between a pig's age and 5 times the age of a piglet is 4 years. If the sum of 3 times pigs and 5 times the piglet's age is 32 years, find the ages of the pig and its piglet.