1) Note that in the problem above, the complete table is given as:
Team Number: 1 2 3 4 5
Best Jump (ft) 20.6 21.5 20.9 19.4 20.2
2) If Best Jump is denoted as y and Team number as x then, Best Jump is the Range while Team Number is the Domain.
3) For each element of the domain, there is a corresponding element of the range. So this relation is a function.
Why are the Domain and Range Important?Domain and range are crucial characteristics that aid in the definition of a relationship. The domain is a collection of input values.
The independent variable represents these values, which are graphed on the axis of a coordinate graph. A function's range is its collection of output values.
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16. The side length of a square ABCD is 18 inches. What is the side length of the square formed by joining the
midpoints of the sides of ABCD, to
the nearest tenth?
Therefore , the solution of the given problem of square comes out to be the ABCD square is 18 inches
what is the side of length of square ABCD?The side length of a square ABCD is 18 inches Each side of square ABCD is 18 inches The midpoints of ABCD are joined to form a square MNOP The figure is attached below
Here,
We need to find the side length of square MNOP
AMN form a Right angle triangle
We know AM =9 and AN= 9
To find MN , use Pythagoreans theorem
MN2=AM2+AN2
MN2=9square+9 square
MN2=162
Take square root on both sides
MN=9 root 2
so the side of the square MNOP is 9 square root 2 inches
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An unusually wet spring has caused the size of a mosquito population in some city to increase by 7 â% each day. If an estimated 18â0,000 mosquitoes are in the city on May 6. Find how many mosquitoes will inhabit the city on May 17 . Use y =18â0,000(1.07 )^ x where x is number of days since May 6 .
Answer:
378873
Step-by-step explanation:
Using the relation :
y = 180000(1.07)^x
x = Number of days since May 6 ;
y = Number of mosquitoes after x days
x = May 17- May 6 = 11 days
Therefore, number of mosquitoes inhabiting the city on May 17 will be :
y = 180000(1.07)^11
y = 180000 * 2.1048519522998348950643
y = 378873.351413970281111574
y = 378873 (nearest whole number).
PLS WAMSER ILL GIVE YOU BRAINLIEST
Here thy go in the name of chubbyeti 35+points
Answer:
okay.................................
10. A function has a period of pi/2
a. What is the value of B?
b. What is the frequency?
Answer:
b is corect
Step-by-step explanation:
What are the roots of the equation x2 – 14x + 74 = 0 in simplest a + bi form?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Use these formulas to solve for this equation.}\\\\\\\mathsf{ax^2 + bx + c = 0}\\\\\\\mathsf{x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\mathsf{x^2-14x + 74= 0}[/tex]
[tex]\mathsf{1x^2 + (-14x) + 74= 0}[/tex]
[tex]\large\text{Whereas, a = 1, b = -14, \& c = 74}[/tex]
[tex]\mathsf{x =\dfrac{-(-14)\pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)}}[/tex]
[tex]\mathsf{-(-14) = \bf 14}\\\\\mathsf{(-14)^2-4(1)(74)=\bf -100}[/tex]
[tex]\mathsf{x = \dfrac{14\pm \sqrt{-100}}{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf No real solutions}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \Large{\boxed{\sf x= 7 \pm 5i} } [/tex]
[tex] \\ [/tex]
Explanation:The given equation is a quadratic equation. In other words, it is written in the form ax² + bx + c = 0, where a ≠ 0.
[tex] \\ [/tex]
We will solve this equation using the quadratic equation, which is the following:
[tex] \sf x = \dfrac{- b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] \\ [/tex]
First, let's identify the value of the coefficients a, b, and c:
a = 1b = -14c = 74[tex] \\ [/tex]
Then, substitute these values into the quadratic formula:
[tex] \sf x= \dfrac{-(-14) \pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)} = \dfrac{14 \pm \sqrt{-100}}{2} [/tex]
[tex] \\ [/tex]
Simplify the expression knowing that [tex] \sf \sqrt{-1} = i [/tex], and keep in mind the following property:
[tex] \Large{\boxed{\sf \sqrt{ab} = \sqrt{a}\sqrt{b} }} [/tex]
[tex] \\ [/tex]
[tex] \sf x= \dfrac{14 \pm \sqrt{100 \times (-1) }}{2} = \dfrac{14 \pm \sqrt{100} \times \sqrt{-1}}{2} = \dfrac{14 \pm 10 \times i }{2} \\ \\ \implies \boxed{\boxed{\sf x= 7 \pm 5i}} [/tex]
[tex] \\ [/tex]
Therefore, the two complex conjugate roots of this equation are x = 7 + 5i and x = 7 - 5i.
[tex] \\ [/tex]
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I need help please I would appreciate if someone can help and god bless you
Tyler’s brother earns 14 per hour. The store offers him a raise a 15% increase per hour. After the raise, how much will Tyler brother make per hour
Answer: 16.10
Step-by-step explanation:
$14 + 15% increase rate = 16.10
15% = 2.10
A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50 and so on. The player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. If 100 players are randomly selected, what is the approximate probability that the average time these players will get to solve the puzzle is between 44 and 56 seconds
Answer:
P( 44 < X < 56 ) = 0.12
Step-by-step explanation:
Number of seconds one gets to solve the puzzle ( X )
E( X ) = 100 + 0 ) / 2 = 50
Var ( X ) = 833.3333
бx = √833.3333 = 28.868
Determine The approximate probability
P( 44 < X < 56 ) = Δ time given / number of players selected
P( 44 < X < 56 ) = (56 - 44) / 100
= 12 / 100 = 0.12
is it possible to have an inscribed circle by using centroid as the centre ?
Answer:
Yes, it is possible
Step-by-step explanation:
there is a safety fence around a circular pool with a gate the gate is 150cm wide
Answer:
The length of the fence is 6.28x-150 cm.
Step-by-step explanation: ... Since the pool is in a circular shape so the circumference will be the length of the fence.
Find the area of the irregular figure below.
Answer:
20
Step-by-step explanation:
5 x 4 = 20
take both numbers and multiply them .
#6 for the function f(x) = x² what is the
Max. domain if y is restricted to; f(x) = 144 and
f(x) =1286?
Answer:
Step-by-step explanation:
or the function f(x) = x² what is the
Max. domain if y is restricted to; f(x) = 144 and
f(x) =1286?
X+X+X+Y+Y=
im doing algebra and cant understand the above question
Answer:
3x + 2y
Step-by-step explanation:
X+X+X+Y+Y=
you simply count equal letters and add them x+x+x is 3x and y + y = 2y.
x + x + x + y + y =
3x + 2y
not knowing the value of x or y we stop herePLSS ANSWER SOMEONE I ONLY HAVE A FEW MINUTES I GIVE POINTS
C.
How many minutes is 9.5 hours?
Is this graph linear or exponential
5. Find the product of X2 and Z2 ________
This is Quantitative
Answer:
it would be [tex]x^2z^2[/tex]
Step-by-step explanation:
you would just put the x^2 next to the z^2 in this case.
Find the mean of the following numbers:
8
0
3 3
17
4
1
4
4
Answer:
10.14
Step-by-step explanation
The numbers sum equals 71
and there are 7 # so
71/7
=
Ans.
Please get it right
Answer:
Y intercept is where x=0. Plug it in the original function find the y intercept
Step-by-step explanation:
Graph?
Which property of real numbers is utlities by rewriting 11x+5xy as x(11+5y)
9514 1404 393
Answer:
distributive property
Step-by-step explanation:
The distributive property of multiplication over addition tells you ...
a(b +c) = ab +ac
This works both ways, allowing you to eliminate or add parentheses as may be needed.
The common factor of ...
11x +5xy
is x. It may be factored out according to the distributive property to give ...
x(11 +5y)
I need this question ASAP GUYS PLEASE!!!! ITS EASY FOR YO GUYS I PROMISE BUT NO ME
Answer:
Mei is correct because -9 is to the left of -3 on the number line. ( -9<-3)
Answer:
Mel is correct because -9 is to the left of -3 on the number line.
Step-by-step explanation:
This is because numbers on the left are less so -9 is less than -3.
In the figure below, ABCD is a square.
Points are chosen on each pair of adjacent sides of ABCD to form 4 congruent right triangles, as shown below.
What is the area of the shaded regions?
A. 16
B. 32
C. 48
D. 64
E. 72
Answer:
D . 64
Step-by-step explanation:
Explanation attached as photo
Find a polynomial that represents the perimeter of the rectangle.
Hi there!
[tex]\large\boxed{P = 4x^2 + 12x + 22}[/tex]
The perimeter of a rectangle is:
P = 2l + 2w
Thus, plug in the given length and width:
P = 2(2x² + 5x + 8) + 2(x + 3)
Distribute:
P = 2(2x²) + 2(5x) + 2(8) + 2(x) + 2(3)
Simplify:
P = 4x² + 10x + 16 + 2x + 6
Combine like terms:
P = 4x² + 12x + 22
Answer:
[tex]4x^2+12x+22[/tex]
Step-by-step explanation:
The perimeter of a rectangle is equal to [tex]2l+2w[/tex] where l is the length and w is the width. So, this rectangle would be equal to [tex]2\left(x+3\right)+2\left(2x^2+5x+8\right)[/tex]. Then, to find the polynomial simplify the expression. To do this first distribute the two 2s. This equals [tex]2x+6+4x^2+10x+16[/tex]. Then, add like terms to finish simplifying. This gives you the final answer of [tex]4x^2+12x+22[/tex].
please help middle school math
Answer:
Step-by-step explanation:
1)√320=8√5
(√125+√45)=8√5
(√500-√20)=8√5
ABC is an equilateral triangle.
2) area=1/2 lengh * h
1/2 * 4√15 * 8√5
=2√15 * 8√5
=80√3
a metal washer fabrication machine makes metal washes with a Target diameter of u=10.5 millimeters. the machine has some variability Southeast standard deviation of the diameter is o= 0.003 millimeters. same machine operator inspects a random sample of 9 washers each hour quality control purposes and record the sample mean diameter, x. assuming the process is working properly what are the mean and standard deviation of the sampling distribution of x?
Answer: ux= 10.5, ox= 0.001
Step-by-step explanation:
I took the test and got it right
Which point is a reflection of (-4, -3) across the y-axis?
Answer:
(4,-3)
Step-by-step explanation:
The y coordinate stays the same, and the x changes from positive to negative
Can someone help please will give brainliyist
Answer:
slope is 3/4 or .75
Step-by-step explanation:
Equation of line is
y= .75 + 1.5
hope this helps :)
Peter received a $40 gift card to Starbucks for his birthday. He
spends the same amount every time he goes and has gone 5
times so far. On one of his trips he also got a $3 drink for his
brother. What is the most he could have spent per trip? Choose
the inequality that describes his situation. Let xramount per trip
Answer:
xr ≤ 7
Step-by-step explanation:
He must spend less than or equal to 7$ to account for 5 trips and 3 extra dollars for 1 trip.
It takes 7 hours for 12 men to paint a room.
How many men would be needed to paint the room in 3 hours?
Answer:
28(brainlestplzzzzzzzzzzzzzzz)
Step-by-step explanation:
Answer:
28 men will be needed for three hours.
Step-by-step explanation:
7 hours --- 12 men
1 hour --- (12 * 7) 84 hours
3 hours --- (84/3) = 28 hours
Thenks and mark me brainliest :)))