Answer:
52 years
Step-by-step explanation:
Since the mean age of 5 people in that room is 28 years,
∴ Sum₍₅₎= (28×5) years
= 140 years
Then, one person enters the room which makes the mean age 32 years.
∴Sum₍₆₎= (32×6)years
= 192 years
∴The age of the person who enters the room= (192 - 140) years
= 52 years
A variable is a quantity that can change; the word also refers to the letter or symbol that represents this quantity. In a proportional relationship, one variable is the independent variable, and one is the dependent variable. They are often called "x" and "y," but any letters can be used. The value of the dependent variable depends on the value of the independent variable. In the relationship between number of scoops of ice cream and total price, we can call number of scoops "x" and total price "y." Y is dependent because its value depends on x, the number of scoops you purchase. Ursula makes $5 for every 1 dog she walks. In the relationship between dollars earned and dogs walked, ________ is the dependent variable, which is often called ________.
Answer:
Dollars earned is the dependent variable, which is often called outcome variable (x).
Step-by-step explanation:
The value of the dependent variable depends on the value of the independent variable.
y (dollars earned) is dependent because its value depends on x, the number of dogs walked.
In the relationship between dollars earned and dogs walked, dollars earned is the dependent variable, which is often called outcome variable (x).
Answer: dollars earned, y
Step-by-step explanation:
Which pair of angles is supplementary?
Answer:
asdvfbaddbdbdgbd d
Step-by-step explanation:
dbb v vbv v vsfggbbb
Please HELP QUICK
I need help solving this equation -11p²-4=0
Answer:
p = sqrt 11 + 4
Step-by-step explanation:
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
A. Y = 5/18(11)
B. Y = 18/5(11)
C. Y = (18)(5)/11
D. Y = 11/(18)(5)
Answer:
The answer is B! Trust
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
EDGE 23
Triangle L J K is shown. Angle J L K is a right angle. The length of the hypotenuse is 15 inches and the length of the side adjacent to the right angle is 10 inches. The angle between the 2 sides is x.
Which equation can be used to find the measure of angle LJK?
Answer:
The answer is C on Edge 2020
Step-by-step explanation:
The value of x will be 48.19°. Then the measure of angle LJK will be 41.81°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Triangle LJK is shown.
Angle ∠JLK is a right angle.
The length of the hypotenuse is 15 inches, and the length of the side adjacent to the right angle is 10 inches.
The angle between the 2 sides is x.
Then the measure of the angle x will be given by cosine of x.
cos x = 10 / 15
cos x = 0.667
x = 48.19°
The value of x will be 48.19°.
We know that the sum of the angle of triangle is 180°.
Then the measure of angle LJK will be
∠LJK + 90° + 48.19° = 180°
∠LJK = 41.81°
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the following equation models the path of the basketball y=-x^2+4x+5 where x is the elapsed time in seconds
Answer:
After two seconds, the ball reached 9 units up.Step-by-step explanation:
The given function is
[tex]y=-x^{2} +4x+5[/tex]
The given function models the path of the ball.
The maxium height the ball reached is given by the vertex of this function, which has coordinates [tex]V(h,k)[/tex], where [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex].
From the equation, we know that [tex]a=-1[/tex], [tex]b=4[/tex] and [tex]c=5[/tex]. Replacing these values, we have
[tex]h=-\frac{4}{2(-1)}=2[/tex]
[tex]k=f(2)=-(2)^{2} +4(2)+5=-4+8+5=9[/tex]
Where [tex]k[/tex] determines the height and [tex]h[/tex] the time when the maximum height was reached by the ball.
The maximum height is 9 units.
Therefore, after two seconds, the ball reached 9 units up.
Which data sets have outliers? Check all that apply.
A)14, 21, 24, 25, 27, 32, 35
B)15, 30, 35, 41, 44, 50, 78
C)16, 32, 38, 39, 41, 42, 58
D)17, 23, 28, 31, 39, 45, 75
E)18, 30, 34, 38, 43, 45, 68
Answer:
A -B-C
Step-by-step explanation:
Line A is going by sevens till it hit s 25 it dosnt fit
line b is going by 5 but 41 dosnt fit
and with c its going by 6 but 41 dosnt fit
Answer:
C and E
Step-by-step explanation:
16, 32, 38, 39, 41, 42, 58
and
18, 30, 34, 38, 43, 45, 68
The outliers are 16
and
68
The Anderson family has 3 kids 3 boys and 0 girls suppose that for each birth the probability of a boy birthday is 1/2 and the probability of a girl birth is also 1/2 what is the fractional probility of having 3 boys and 0 girls ina family first 3 births
Answer:
Fractional probability of having 3 boys and 0 girls in a family for first 3 births is [tex]\frac{1}{8}[/tex].
Step-by-step explanation:
Let A be the event of birth of a boy.
Let B be the event of birth of a girl.
Probability of birth of a boy, P(A) [tex]= \frac{1}{2}[/tex]
Probability of birth of a girl, P(B) [tex]= \frac{1}{2}[/tex]
We have to find the probability of birth of 3 boys i.e. event A occurring 3 times in a succession. It is independent events i.e. do not have any dependency on occurrence of any event.
So, Required probability can be calculated just by multiplying P(A) for 3 times.
i.e.
[tex]P(E) = P(A) \times P(A) \times P(A)\\\Rightarrow \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow \dfrac{1}{8}[/tex]
So, the probability of having 3 boys and 0 girls in the family is [tex]\frac{1}{8}[/tex].
A triangle has sides with lengths of 8 meters, 17 meters, and 20 meters. Is it a right triangle
Yes
No
Maybe
Answer:
yes coz in a right angled triangle all the sides are never equal
Step-by-step explanation:
yes coz in a right angled triangle all the sides are never equal
Answer:
No, they do not make a right triangle.
Step-by-step explanation:
Use the Pythagorean Theorem to see if the sides form a right triangle.
[tex]a^2+b^2=c^2[/tex]
'20' will be 'c'. It is the largest number in the sides given.
'8' will be 'a' and 17 will be 'b'.
[tex]8^2+17^2=20^2\\\rightarrow 8^2=64\\\rightarrow 17^2 = 289\\\rightarrow 20^2=400\\64+289=400\\\boxed{353\neq 400}[/tex]
The sides do not make a right triangle. They do not satisfy the theorem.
Joel spends 27 more minutes playing soccer after school on Tuesday than he did on Monday. He still exercises for a total of 60 minutes after school.
What percent of his time exercising after school did Joel spend playing soccer on Tuesday?
Answer:
60-27=33
33/2=16.5
16.5+27=43.5
43.5/60=0.725 or 72.5%
72.5%
Hope this helps
Step-by-step explanation:
Answer:
Joel spent 85, percent of his time exercises after school on Tuesday playing soccer.
Step-by-step explanation:
24+27=51
Joel spent 51 minutes playing soccer after school on Tuesday. He spent a total of 60 minutes exercising.
[tex]\frac{3^{2} }{6^{2} }[/tex]÷[tex]\frac{2^{2} }{2^{2} }[/tex] AYUDAAAA !!!
Answer:
1/4
Step-by-step explanation:
Simplify the following:
(3^2/6^2)/(2^2/2^2)
Multiply the numerator by the reciprocal of the denominator, (3^2/6^2)/(2^2/2^2) = 3^2/6^2×2^2/2^2:
(3^2×2^2)/(6^2×2^2)
(3^2×2^2)/(6^2×2^2) = 2^2/2^2×3^2/6^2 = 3^2/6^2:
3^2/6^2
6^2 = 36:
3^2/36
3^2 = 9:
9/36
The gcd of 9 and 36 is 9, so 9/36 = (9×1)/(9×4) = 9/9×1/4 = 1/4:
Answer: 1/4
Determine whether the linear transformation is invertible. If it is, find its inverse. (If an answer does not exist, enter DNE.) T(x, y) = (-x + y, -x - y)
Answer:
[tex]((-\frac{1}{2}(x+y), -\frac{1}{2} (x-y) )[/tex]
Step-by-step explanation:
T(x , y) = (-x -y, -x +y)
T(1, 0) = (-1, -1) = -1(1 , 0) -1(0 , 1)
T(0, 1) = (-1, 1) = -1(1 , 0) +1(0 , 1)
Therefore,
[tex]T = \left[\begin{array}{ccc}-1&-1\\-1&1\end{array}\right][/tex]
|T| = [-1 -1] = -2
T is invertible
[tex]T^-^1 = -\frac{1}{2} \left[\begin{array}{ccc}1&+1\\+1&-1\end{array}\right] \\\\=\left[\begin{array}{ccc}-1/2&-1/2\\-1/2&1/2\end{array}\right][/tex]
Therefore,
[tex]T^-^1(x,y)=(-\frac{1}{2}x -\frac{1}{2} y,-\frac{1}{2} x+\frac{1}{2} y)[/tex]
[tex]((-\frac{1}{2}(x+y), -\frac{1}{2} (x-y) )[/tex]
Find the area of a parallelogram with base b = 19 in. and height h = 15 in.
A) 68 in.2
B) 285 in.2
C) 34 in.2
D) 142.5 in.2
Answer:
B) 285 in.2
Step-by-step explanation:
Reason 19 x 15 = 285 in.2
geometry help asap rocky
Answer:
A≈875.88
i think so at least :-)
If you divided 58 objects into sets of 10, how many sets of 10 could you make, and how many are left over?
Answer:
5 SETS OF 10 WE CAN MAKE, 8 OBJECTS WILL LEFT.
Step-by-step explanation:
Answer:
We can Make 5 sets of 10 and have 8 left over :)
Step-by-step explanation:
we have 58 objects and we make them into sets of 10
1 set=10
1 set 2 set 3 set 4 set 5 set | 1 one 2 one 3 one 4 one 5 one 6 one 7 () () () () () | one 8 one
can i get brainliest
(−4, 4) to the line y=−2x+1
Answer:
that is not a point to the line
Step-by-step explanation:
When rolling a standard die, what is the probability of not getting a perfect square?
Answer:
0%
Step-by-step explanation:
ITS A CUBE BRUH!!!!
Ella simplifies (3 b + 4 r) + (negative 2 b minus r) and says the result is b Plus 5r. What error did Ella make? Ella incorrectly combined the b coefficients. The correctly simplified expression is 5 b + 5 r. Ella incorrectly combined the b coefficients. The correctly simplified expression is Negative b + 5 r. Ella incorrectly combined the r coefficients. The correctly simplified expression is b – 5r. Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.
Answer:
Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.
Step-by-step explanation:
(3b+4r)+(-2b-r)
Open the bracket
=3b+4r-2b-r
Combine the like coefficient
=3b-2b+4r-r
=b+3r
Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.
Answer:
Im like 2 years late, but the answer is D
Step-by-step explanation:
Ella incorrectly combined the r coefficients, the correct simplified expression is b+3r.
person below or above me is correct.
Which expression has the same value as -18/ (-9)?
Answer:
2
Step-by-step explanation:
-18/-9 is just 2. the negatives cancel out so youre left with 18/9 which is 2.
Jason is planning to replace carpet in the utility room of his house the length of the room is 8 feet and the width of the room is 7 feet how many square feet of carpet does jason need
Given Information:
Length of room = l = 8 feet
Width of room = w = 7 feet
Required Information:
Amount of carpet = ?
Answer:
Amount of carpet = 56 ft²
Step-by-step explanation:
Jason wants to replace the carpet in the utility room of his house.
We are given the dimensions of the room and we are asked to find the required amount of carpet in square feet.
The required amount of carpet is given by
[tex]A = w\times l[/tex]
where w is the width of room and l is the length of the room.
[tex]A = 7\times 8\\\\A = 56 \:[/tex]
Therefore, Jason need 56 square feet of carpet for the utility room.
PLZ HELP ME!!!!!!!
If a rectangular field has a length of x+7 and a width of 4x-2, write an expression for the length of fencing to go around the outer edges.
I WILL MARK YOU THE BRAINLIEST!!!
Answer:
(2x+14) + (8x-4) = P
Step-by-step explanation:
P stands for perimiter
The expression for the length of fencing to go around the outer edges is 10x+10.
What is the perimeter of a rectangle?The perimeter of a rectangle is the twice the sum of length and width.Perimeter of a rectangle = 2(l+b)Length of the rectangular field is given by x+7
and width is given by 4x-2
Length of fencing outer edges is equal to its perimeter.
Perimeter of a rectangle = 2(l+b)
=2(x+7+4x-2)
=2(5x+5)
=10x+10
Hence, the length of fencing outer edges is 10x+10
Learn more about perimeter of a rectangle here:
https://brainly.com/question/13723940
#SPJ2
In Sal's sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the drawer, and then another, which fractions should Sal multiply to find the probability of choosing a pair of green socks? (StartFraction 1 over 10 EndFraction) (StartFraction 1 over 9 EndFraction) (StartFraction 2 over 10 EndFraction) (StartFraction 2 over 10 EndFraction) (StartFraction 2 over 10 EndFraction) (StartFraction 1 over 9 EndFraction) (StartFraction 2 over 10 EndFraction) (StartFraction 2 over 9 EndFraction)
Answer:
c
Step-by-step explanation:
Answer:
It would be C.
Step-by-step explanation:
You are building a sand castle and want to use a bucket that holds a volume of 885 in.cubed and has height 11.7 in. What is the radius of the bucket? Use 3.14 for π.
Answer:
[tex]4.91 in[/tex]
Step-by-step explanation:
a bucket has the form of a cylinder, which has the following formula for its volume:
[tex]V=\pi r^2h[/tex]
where r is the radius and h is the height.
Since we need to find the radius, we solve for r:
[tex]r^2=\frac{V}{\pi h}\\ \\r=\sqrt{\frac{V}{\pi h} }[/tex]
and since we know according to the problem that:
[tex]V=885in^3[/tex]
and
[tex]h=11.7in[/tex]
substituing these values:
[tex]r=\sqrt{\frac{885in^3}{(3.14)(11.7in)}}\\ \\r=\sqrt{\frac{885in^3}{36.738in}}\\\\r=\sqrt{24.0895in^2}\\\\r=4.908in[/tex]
the radius is: [tex]4.908in[/tex] which can be rounded to [tex]4.91 in[/tex]
Using the formula A=P(1+r/n) ^nt calculate the value of an initial investment of $4,500 after 10 years at 4% interest, compounded quarterly (four times per year).
Answer:
Using the formula provided, the value of that investment after 10 years is
A = P(1 + r/n) ^nt
= 4500 x (1 + (4/100)/4)^(10 x 4)
= 4500 x (1.01)^40
= 6699.89$
Hope this helps!
:)
The value of that investment after 10 years is $6699.89
Important information:an initial investment of $4,500 after 10 years at 4% interest, compounded quarterlycalculation:[tex]A = P(1 + r/n) ^{nt}\\\\= 4500 \times (1 + (4/100)/4)^(10 \times 4)\\\\= 4500 \times (1.01)^{40}[/tex]
= 6699.89
learn more about the investment here: https://brainly.com/question/24002393
Factorise using identity 4y^2 - 12yz+9z^2
Step-by-step explanation:
Identity used :
[tex] \bold{ ({y}^{2} + {z}^{2}) = {y}^{2} + 2yz + {z}^{2} }[/tex]
[tex] \implies \: {(2y)}^{2} - 2.2y.3z + {(3z)}^{2} [/tex]
so we got :
y = 2
z = 3
[tex]{ \pink{ \bold{ \boxed{answer = (2y + 3z) {}^{2} }}}}[/tex]
What are the domain and range of F(x) = -8 ?
A. Domain: All real numbers greater than or equal to -8
Range: All real numbers
B. Domain: {-8}
Range: All real numbers
C. Domain: All real numbers
Range: All real numbers greater than or equal to -8
D. Domain: All real numbers
Range: {-8}
Which of the following are irrational numbers?
3.14
√ 5
0.3333
√ -4
1/9
Answer:
√ -4
Step-by-step explanation:
all square roots of negative numbers are irrational
From the given set of numbers, the only one that is irrational is:
√5
Which of the following are irrational numbers?
An irrational number is a number that can be written as the square root of a non-square number, and numbers that can't be written as the quotient of two integers.
For the given ones we have:
a) 3.14 = 314/100 this is a rational number.
b) √5, 5 is not a perfect square, so √5 is an irrational number.
c) 0.3333 = 3333/10,000 this is a rational number.
d) √-4 The square root of a negative number is a complex number.
e) 1/9 this is a rational number.
So, from the given numbers, the only irrational one is √5.
If you want to learn more about irrational numbers, you can read:
https://brainly.com/question/5342576
12 is 3/4 of what number
Answer:
16
Step-by-step explanation:
4 x 4 =16
Answer:
16
Step-by-step explanation:
You need to divide by the top and multiply by the bottom.
12 divided by 3 is 4, and 4 times 4 is 16.
-30< x/-4
Solve for x.
Answer must be simplified.
Everything you need is attached below.
Unit 2 Cumulative Assessment
Enter your response in the box below.
Find the product of (7x - 3)(2x + 4). What is the coefficient of x when the product is written in simplest form?
Answer:
The coefficient of x is 22.