Answer:
S = 62.5%
Step-by-step explanation:
Let the junior members be J.Let the senior members be S.Given the following data;
Ratio of J:S = 3:5 = 3 + 5 = 8
To find what percent of team members are seniors;
[tex] S = \frac {5}{8} * 100 [/tex]
[tex] S = \frac {500}{8} [/tex]
S = 62.5%
Additionally, to find what percent of team members are juniors;
J = 100 - S
J = 100 - 62.5
J = 37.5%
PLEASE HELP! Math (recursive sequences)
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–5, 23)
B. (–10, 2)
C. (5, –23)
D. (2, –10)
Hi there!
»»————- ★ ————-««
I believe your answer is:
C. (5, –23)
»»————- ★ ————-««
Here’s why:
I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?
Answer: the length of the base is 15 kilometers.
Step-by-step explanation:
formula : Area of parrallelogram = Length of base x height
Given: Area of parallelogram = 300 square kilometers
height = 20 kilometers
Substituting values in the formula , we get
300 = Length of base x 20
Length of base = [tex]\frac{300}{20}[/tex]
= 15 kilometers
Hence, the length of the base is 15 kilometers.
Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please show your work and steps, so partial credit may be given:
Answer:
Perimeter = 30
Area = 30
Step-by-step explanation:
[tex](x+8)^2 -x^2 = 12^2[/tex]
[tex]x^2 +16x +64 - x^2 = 144[/tex]
[tex]16x+64=144[/tex]
[tex]16x = 80[/tex]
[tex]x = 5[/tex]
Double check:
[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]
Perimeter:
[tex]12+5+13=30[/tex]
Area([tex]\frac{1}{2}bh[/tex]):
[tex]\frac{1}{2}[/tex] × 12 × 5 = 30
According to Pythagorean theorem,
Δ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (x + 8)² = x² + 12²
⇒ x² + 64 + 16x = x² + 144
⇒ 16x = 80
⇒ x = 5
Hypotenuse = (x + 8) = (5 + 8) = 13
1st Leg = 5
2nd Leg = 12
We know that : Perimeter is the Sum of all sides of the Triangle
⇒ Perimeter = Hypotenuse + 1st Leg + 2nd Leg
⇒ Perimeter = 13 + 5 + 12
⇒ Perimeter = 30
We know that :
[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]
Base = 1st Leg
Height = 2nd Leg
[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]
[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]
se cumple que: A^2 + B = 486 y el M.C.D. de A y B es 9. ¿Cuál es el valor de B
Answer:
i dont know spanish
Step-by-step explanation:
A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that?
Answer:
24000ml or 24L
Step-by-step explanation:
wxhxl = volume
20cm x 30cm x 40cm = volume
volume = 24000cm3
1cm3 = 1ml
24000cm3 = 24000ml
1000ml = 1L
24000ml = 24L
Using the graph, determine the value of the slope.
v
CO 3
What is the slope?
4
2
What is true about the graph?
4
-2
-2
Intro
Done
Answer:
gradient of horizontal slope is 0
The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11
Answer:
Step-by-step explanation:
Use the slope formula here along with the fact that the slope is equal to 1:
[tex]1=\frac{-6-1}{x-4}[/tex] and
[tex]1=\frac{-7}{x-4}[/tex] and cross multiply to get x - 4 = -7 so
x = -3
Tina is making a cylindrical sandbox that has a radius of 2 feet. She brought 18.84 cubic feet of the sand for the sandbox.
find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)
Answer:
The answer is (0,19) or (0,-5).
By distance formula,
after squaring on both sides we and solving we get,
so, y=19 or -5
Step-by-step explanation:
you get the idea, but i don't think this is the answer yet?
find the equation of a circle with a point at ( 10 , - 4 ) and a point at ( -2 , - 4 )
Answer:
Solution given:
letA=(10,-4)
B=(-2,-4)
centre[C](h,k)=[tex]\frac{10-2}{2},\frac{-4-4}{2}=(+4,-4)[/tex]
radius=[tex]\sqrt{(4-10)²+(-4+4)²}=6[/tex]units
we have
Equation of a circle is;
(x-h)²+(y-k)²=r²
(x-4)²+(y+4)²=36
or.
x²-8x+16+y²+8y+16=36
x²-8x+8y+y²=36-32
x²-8x+8y+y²=4
The equation is (x-4)²+(y+4)²=36 or x²-8x+8y+y²=4.
Answer:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]
Step-by-step explanation:
the given points are the diameter points of circle because notice that in the both points y coordinate is the same therefore it's a horizontal diameter
since (10,-4),(-2,-4) are the diameter points of the circle the midpoint of the diameter will be the centre of the circle
remember midpoint formula,
[tex] \displaystyle M = \left( \frac{x _{1} + x_{2} }{2} , \frac{ y_{2} + y_{2}}{2} \right)[/tex]
let,
[tex] \displaystyle x _{1} = 10[/tex][tex] \displaystyle x _{2} = - 2[/tex][tex] \displaystyle y _{1} = - 4[/tex][tex] \displaystyle y _{2} = -4[/tex]thus substitute:
[tex] \rm\displaystyle M = \left( \frac{10 + ( - 2)}{2} , \frac{ - 4 + ( - 4)}{2} \right)[/tex]
simplify addition:
[tex] \rm\displaystyle M = \left( \frac{8}{2} , \frac{ - 8}{2} \right)[/tex]
simplify division:
[tex] \rm\displaystyle M = \left( 4, - 4 \right)[/tex]
so the centre of the circle is (4,-4)
since it's a horizontal diameter the the redious will be the difference between the x coordinate of the Midpoint and the any x coordinate of the given two points but I'll use (-2,-4) therefore the redious is
[tex] \displaystyle r = 4 - ( - 2)[/tex]
simplify which yields:
[tex] \displaystyle\boxed{ r =6}[/tex]
recall the equation of circle
[tex] \displaystyle (x - h) ^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
we acquire that,
h=4k=-4r=6therefore substitute:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y - ( - 4))}^{2} = {6}^{2} [/tex]
simplify:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]
and we are done!
also refer the attachment
(the graph is web resource of desmos)
what is the meaning of the quadratic formula. write it down?
Answer:
Quadratic formula is the tool for solving for an unknown number (usually x)
Step-by-step explanation:
The formula is below
Answer:
Below.
Step-by-step explanation:
The formula, which gives the solutions of the equation, is
x = [-b ±√(b^2-4ac)]/2a.
- a, b and c are the coefficients of the quadratic equation
ax^2 + bx + c = 0.
what is the length of the missing leg?
Answer:
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Step-by-step explanation:
To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex]a^2+40^2=47^2\\[/tex]
Simplify,
[tex]a^2+1600=2209\\[/tex]
Inverse operations,
[tex]a^2=609[/tex]
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Answer:
b = 9 mm
Step-by-step explanation:
Using Pythagoras; identity in the right triangle
b² + 40² = 41²
b² + 1600 = 1681 ( subtract 1600 from both sides )
b² = 81 ( take the square root of both sides )
b = [tex]\sqrt{81}[/tex] = 9 mm
6x - y= 16 and 3x + 2y + -12 Answer.
Answer:
x= 4/3
y= -8
if you ment 3x + 2y = -12 in the second problem
Step-by-step explanation:
A backpack that normally sells for $40 is on sale for $38. Find the percent of increase or decrease. *20 POINTS* (PLS SHOW WORK)
Answer:mj,bhvb n
mnbnmb mbnmbnb
Step-by-step explanation:
Escribe el nombre de algún tipo de ángulo que se forma "Entre Dos rectas Paralelas y una Secante"
Answer:
We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.
Step-by-step explanation:
Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.
The function f(x) is shown below.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Answer:
f(g(2)) = 2
Step-by-step explanation:
g(2)
g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]
f(g(2))
[tex]g(2) = -3[/tex]
Thus
[tex]f(g(2)) = f(-3)[/tex]
Looking at the table, when [tex]x = -3, f(x) = 2[/tex]
Thus: [tex]f(g(2)) = 2[/tex]
If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC
Answer:
AB/ PQ = BC/QR
Step-by-step explanation:
In similar triangles, ratio of corresponding sides are equal.
So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]
What is constant of proportionality? I'm still having trouble understanding it. Can someone please give me a give problems and tell me how to find the COP (constant of proportionality) <3 thamks.
Answer:
See Explanation
Step-by-step explanation:
Given two variables (say x and y); the constant of proportionality is the ratio between these to variables.
Illustration; y is directly proportional to x
The above statement can be represented as:
[tex]y\ \alpha\ x[/tex]
When converted to an equation, you get
[tex]y\ =k x[/tex]
k, in the above equation, represents the constant of proportionality
Divide both sides by x to solve for k
[tex]k = \frac{y}{x}[/tex]
Take for instance: [tex]y = 3x[/tex]
Divide both sides by x
[tex]\frac{y}{x} = 3[/tex] --- 3 is the constant of proportionality
The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there
Answer:
18
Step-by-step explanation:
Calculation to determine how many coloured paper are there
Let 3x represent the number of coloured papers
Let 8x represent the number of white papers
Given that 8x=48
Hence,
x=48/8
x=6
Now let determine how many coloured paper are there
Coloured paper=3x
Coloured paper=3(6)
Coloured paper=18
Thereffore the number of coloured paper that are there is 18
Determine the value for x in the picture below.
Answer:
x=9
Step-by-step explanation:
Similar triangles
8/20 = 6/(x+6)
==> 2/5 = 6/(x+6)
2/5x+12/5=6
2/5x=18/5
x=9
The difference of twice a number and another number is 5. The sum of the two numbers is 19. Find the numbers
Answer:
12 & 7
Step-by-step explanation:
12 + 7=19
12 - 7=5
Answer:
12 & 7
Step-by-step explanation:
*)Solve the system of equations:
x+y=19
x-y =5
=> 2y=14 =>y = 7
y=7 => x = 12
what is 2/3 of 4 hours and 30 minutes?
what is the difference between the domain and the range of a function?
Answer:
The domain is all the x values of a function while the range is all the y values of a function.
Answer:
Step-by-step explanation:
The domain of a function is the set of input (x-) values for which the function is defined. The range is the set of output (y-) values; often there are limitations.
For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y. The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1. There is no graph above y = -1 or below y = +1.
how do i solve this equation again?? its y=mx+b
Answer:
4
Step-by-step explanation:
add 3 to 13
then divide 16 by 4 that gives you your final answer of 4
P(x)=1−2x2+3x+2x5 what type of polynomial is this?
Given the similar triangles at the left, write a similarity statement.
HELP IS NEEDED!!!!! PLEASE HELP ME ASAPPP!!!
Answer:
∆ABC~=∆PQR
Angle BAC=QPR
I don’t understand this equation. m= -3 and b = 3
can you please put the equation so i can answer it?
thank you!
URGENT PLEASE HELP ANSWER ASAP FOR BRAINLIEST !!!!!!!!!!
1/2
Hope this helps! :)
______________
Answer:
1/2
Step-by-step explanation:
you use rise/run so its (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50
HELLLLLLPPPPP!!!!!!!!!!!!!
Answer:
Acute angled and scalene because if the sum of two angles is 110 then the third angle should be 70 which is acute angle
