Answer:
Age of q = 42 years
Step-by-step explanation:
Ratio of the ages of three people p, q and r is 6 : 7 : 11
Sum of the ages of p and r = 102 years
Age of p = [tex]\frac{6}{(6+11)}\times (102)[/tex]
= 36 years
Therefore, age of r = 102 - 36
= 66 years
Since, ratio of p and q = 6 : 7
Therefore, [tex]\frac{\text{Age of p}}{\text{Age of q}}=\frac{6}{7}[/tex]
[tex]\frac{36}{q}=\frac{6}{7}[/tex]
q = [tex]\frac{36\times 7}{6}[/tex]
q = 42 years
The function y = -16t+^2 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places.
Answer:
The water droplet will hit the ground 1.58 seconds after it started falling.
Step-by-step explanation:
The function:
y = -16*t^2 + 40
represents the height of a water droplet t seconds after falling from an icicle.
We want to find the value of t such that the water droplet hits the ground, and this will happen when y = 0.
Then we only need to solve the equation:
0 = y = -16*t^2 + 40
0 = -16*t^2 + 40
16*t^2 = 40
t^2 = 40/16
t = √(40/16) = 1.58
The water droplet will hit the ground 1.58 seconds after it started falling.
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.
Calculate the approximate volume of the cylinder. Use 3.14 for pi. Do not include units.
Answer:
12rhehrhehrhjnehrhrhehrhehehrrhrjejejej
Answer:
Step-by-step explanation:
Use 3.14 for the pi DO NOT INCLUDE UNITS
1. Choose the statement that describes the value of the square root of 24.
The value is between 4 and 4.5
The value is between 4.5 and 5
The value is between 5 and 5.5
The value is between 5.5 and 6
Answer:
4.5 and 5
Step-by-step explanation:
The √24 is 4.89879
to one decimal place is 4.9
Approximately 5
find the slope between the point (a+b,4m-n) and (a-b,m+2n)
Answer:
m = -3m+3n/-2b
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
Given the coordinates (a+b,4m-n) and (a-b,m+2n)
m = (m+2n)-(4m-n)/(a-b)-(a+b)
m = m+2n-4m+n/a-b-a-b
m = m-4m+2n+n/a-a-b-b
m = -3m+3n/-2b
Hence the required slope is m = -3m+3n/-2b
Pls Help Me With This Question! It's 8th Grade Math!
Answer:
y= 4/3x
Step-by-step explanation:
Answer:
y= 4/3x
Step-by-step explanation:
A cylinder has a base radius of 7in and a height of 3in. What is its volume in cubic in,
to the nearest tenths place?
The volume of the cylinder having a radius 7 in and a height 3 in is 461.8 cubic inches.
What is the volume?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
For the cylinder, the volume will be calculated by the radius and the height of the cylinder.
Given that the height of the cylinder is 3 in and the radius of the cylinder is 7 in.
The volume of the cylinder will be calculated as:-
V = πr²l
V = π x ( 7 )² x 3
V = 461.8 cubic nches
Therefore, the cylinder will have a volume of 461.8 inches.
To know more about volume follow
https://brainly.com/question/27535498
#SPJ6
Which Superhero has the greater miles to second ratio
------------------------------------------------------------------------------------------
Choices are:
------------------------------------------------------------------------------------------
A) Super-Man
B) Iron-man
C)Neither they are both equivalent
------------------------------------------------------------------------------------------
Answer:
Super Man
Have a great day!
If k(x) = x2 and p(x) = k(x) + n, what is the value of n?
Answer: Value of n is -6
Step-by-step explanation:
If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can start by substituting the function k(x) into the expression for p(x):
p(x) = k(x) + n
p(x) = x^2 + n
We don't have enough information to determine the value of n, but we can set up an equation using some other given information. If we know that p(2) = 5, we can substitute x = 2 and solve for n:
p(2) = 2² + n = 4 + n = 5
n = 5 - 4
n = 1
Therefore,
The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
Math question pls help
Answer:
y = x + 3
Step-by-step explanation:
This is because the number is increasing by three each time and if you substituted the variable x with a number the answer is true.
Help please <3 Might give brainiest if the answer is correct
Answer:
c
Step-by-step explanation:
The general form of a reciprocal function is r(x) = a / (x - h) + k. The graphs of reciprocal functions are made up of branches, which are the two main parts of the graph; and asymptotes, which are horizontal and vertical lines that the graph approaches but doesn't touch.
Answer:
I'm pretty sure it's graph C
The length of a rectangle is three times its width. If the area of the rectangle is 75 yd2 , find its perimeter.
Answer:
40
Step-by-step explanation:
Let x = width, then 3x = length, Area = l x w so,
(3x)(x) = 75
3x2 = 75
x = 5 = width, length = 15
Perimeter = 2l +2w = 10 + 30 = 40
Can someone help me please!!
Answer:
Im pretty sure it's C
Step-by-step explanation:
Tell me if im wrong
What is the length of gh here? Please help me, I have a short deadline and I will give the best answer brainliest :)
Answer:
7
Step-by-step explanation:
Answer:
about 7.3 units
Step-by-step explanation:
the short lengths are 2 and 7, so like i explained earlier, 2^2 + 7^7 = x^2
we can simplify this to 53 = x^2, the so x = √53, which is about 7.3.
3x+30=180 degrees, what is the value of the letter x in this problem?
Answer:
50
Step-by-step explanation:
180-30=150/3=50
3x + 30 = 180
-30 -30 subtract 30 on both sides, solve for 180 - 30 which is 150.
___________
3x = 150
__ ___ divide 3 on both sides, solve for 150 ÷ 3 which is 50.
3 3
x = 50, final answer
hope this helps! :)
When a football is punted, it goes up in the air, reaches a maximum altitude, and then comes back down. We can assume that the football follows a parabolic path. When the ball was kicked it was one foot above the ground. One second later, it was 20 feet above the ground. Four seconds after it was kicked it was 35 feet above the field.
What is the quadratic equation?
Answer
look ate image i just send u that´s the answer on the pice of paper
Step-by-step explanation:
The equation of the parabola is given by y=x²+19
What are quadratic equations?A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.
Given here: In t=1 sec the football's height was 20 feet and for t=4 the height of the football was 35 feet.
Let the path of the football be a parabola and facing downward.
Thus the equation of the parabola must be y=-4ax²+c
But the parabola passes through the points (1,20) and (4,35)
Thus substituting the points on the equation of the parabola we get
20=-4×1²×a+c & 35=-4×4²a+c
20=-4a+c &35=-64a+c
Solving for a we get
a=-1/4
Thus c=19
∴The equation of the parabola is given by
y=x²+19
Hence, The equation of the parabola is given by y=x²+19
Learn more about the quadratic equation here:
https://brainly.com/question/17177510
#SPJ2
Place the Decimal!
1. Santonio bought a box of cookies for $3.84. If there are 24 cookies
in the box, how much did Santonio pay per cookie?
Sierra conducted an experiment. She drew a color tile from a bag, recorded the results, and return the tile to the bag. Out of 100 trials she randomly drew a blue tile 46 times, a red tile 38 times, and a green tile 16 times. What is the experimental probability of drawing a red tile?
Option 1: 4/25
Option 2: 23/50
Option 3: 19/50
Option 4: 16/100
Can someone help me with this problem?
Answer:
147
Step-by-step explanation:
add the 2 sides together 19+14=33 then take 33 and subtract from 180. bc thats the rule btw. So 180-33= 147 hope this helps :))
Eva has some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wallet before she bought the groceries? *
$20.48
$62.17
$35.93
$62.10
Answer:
Step-by-step explanation:
62.17
Find the area of the triangle whose base is 3 inches and height is 10 inches. *
Answer:
(axh)/2 30
Step-by-step explanation:
Rewrite 8x - 7 as the product of two factors
Answer:
factors are any group of number or expressions which, when multiplied, produce another number or expression.
Basic example: 4 can be broken into 2 factors---2 and 2. 2 times 2 = 4
Example using an unknown:
2X + 6 = 2 * (X + 3)
In the given problem, there is no whole-number common factor. A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.
So: 8X + 7 = 8 ( X + 7/8 )
The following would also be correct:
8X + 7 = 4 ( 2X + 7/4 )
Step-by-step explanation:
PLEASE HELP!!!Match the justification to each step of the algebraic proof to solve the equation:
Step-by-step explanation:
First Line
- Given Equation
Second Line
- Subtraction Property of equality (7 was subtracted from both sides of the equation)
Third Line
- Distributive property (The parenthesis was expanded)
Fourth Line
- Subtraction Property of equality (2x was subtracted from both sides of the equation)
Fifth Line
- Addition Property of equality (1 was subtracted from both sides of the equation)
Sixth Line
- Division property of equality (5 was divided from both sides of the equation)
This exercise must complete the blanks with the correct answers:
1)" Given Equation"
2) "Transitive Property of equality"
3)"Distributive property"
4) "Addition Property of equality"
5) "Subtraction Property of equality"
6)"Division property of equality"
In this exercise we have to identify the step by step of the given equation:
1) The first thing we see is the equation, so we'll have that it's the "Given Equation"
2) The second step is when the number 7 goes to the right adding to 4 resulting in 11, so it corresponds to "Transitive Property of equality"
3) In the third step, the distribution of the negative value on the left side of the equation was made, then "Distributive property"
4) In the fourth step we move the 2X to the left and add it to the value of 3X, then "Addition Property of equality"
5) The fifth step occurs when we subtract 1 from the right side, so "Subtraction Property of equality"
6) The sixth step occurs when we perform the division of the equation resulting in the value of X, so 'Division property of equality"
Learn more: brainly.com/question/23261388
HI PLEASE HELP IM KINDA CONFUSED WITH KINETIC ENERGY AND POTENTIAL ENERGY ANYONE CAN HELP?
Answer:
P
K
P
K
P
K
Step-by-step explanation:
If it's not moving, it's potential energy
If it's moving, it's kinetic energy
What is the probability that they both choose a card labelled dog?
PLEASE HELP.
The population of Metropolis was approximately 2,600,000 people in 2000. The population began decreasing at a rate of 1.1% every year after 2000.
Which function models the population of Metropolis x years after 2000?
f(x)=0.989(2,600,000)x
f(x)=2,600,000(1.011)x
f(x)=2,600,000(0.989)x
f(x)=1.011(2,600,000)x
Answer:
The answer is C i just took the test.
Answer:
it's C i just took the test
Step-by-step explanation:
Read carefully and choose the name of the student who made the correct statement ..... HELPPP hurry
Cesium-137 has a decay constant of 0.0231 (a 30-year half-life). If you start with 15 pounds of cesium-137, how much will still be there 30 years later? Round to the nearest tenth.
Answer:
N = 7.5 pounds
Step-by-step explanation:
Formula for the radioactive decay is given by,
[tex]N=N_0e^{-\lambda t}[/tex]
Here, N = Final amount
N₀ = Initial amount
λ = Decay constant
t = Duration of decay
Now we can substitute the values from the given question,
N = [tex]15e^{-(0.0231\times 30)}[/tex]
N = [tex]15e^{-0.693}[/tex]
N = 15(0.5)
N = 7.5 pounds
kurt cut pizza wedges into 40 degrees. If each person eats one piece how many people can he feed with 2 whole pizzas
Answer:
18 people.
Step-by-step explanation:
Are you going to lay a protractor on the pizza and measure 40° ?) Multiply that by two(because theres two pizzas) so 18 people.
I need help please!
Answer:
x=-7
Step-by-step explanation:
75+x+52+67+x=180
2x+194=180
2x=-14
x=-7
Answer:
x = -7
Step-by-step explanation:
total angle of triangle is 180°
nake an equation.
180°= 75 + (x+52) + (67+x)
180-75-52-67=2x
-14 =2x
Divide both sides by 2 to get the value of x
X= -7
Find the Volume of the shape below.
4 ft
2 ft
2 ft
Answer:
16 ft³
Step-by-step explanation:
4ft x 2ft x 2ft = 4ft x 4ft = 16 ft³