Answer:
huh?
Step-by-step explanation:
If D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.
What is proportion?A mathematical comparison of two numbers is known as proportion. If two sets of given numbers increase or decrease in the same ratio, the ratios are said to be directly proportional to each other, according to proportion.
How to solve this problem?Given that D varies jointly with w and p. Then it can be written as
D ∝ w × p ...(1)
Again D varies inversely with u.
Then, D ∝ 1/u ...(2)
From (1) and (2), D ∝ (wp)/u ...(3)
We can take k as the constant of proportionality.
So, (3) becomes, D = k(wp/u) = (kwp)/u
Therefore, if D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.
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Order 4/5, 1/4, 6/8, 5/9 from least to greatest
Answer:
1/4,5/9,6/8,4/5
Step-by-step explanation:
Solve & check. Help with proportion homework problem
Answer:
x = 22
Step-by-step explanation:
We need to find the value of x for the given equation.
[tex]\dfrac{\dfrac{1}{5}}{\dfrac{1}{11}}=\dfrac{x}{10}\\\\\dfrac{1}{5}\times 11=\dfrac{x}{10}[/tex]
Cross multiplying both sides,
[tex]11\times 10=5x\\\\x=\dfrac{11\times 10}{5}\\\\x=11\times 2\\\\x=22[/tex]
So, the value of x is equal to 22.
Question 5 of 20
Which of the following triangles are right triangles? Check all that apply.
A. A triangle with side lengths 8, 15, 17
B. A triangle with side lengths 9, 12, 15
C. A triangle with side lengths 5, 12, 13
D. A triangle with side lengths 6 inches, 8 inches, 12 inches
Answer:
B. A triangle with side lengths 9 12 15
Step-by-step explanation:
9/3= 3
12/3= 4
15/3 = 5
A perfect right triangle is 3, 4, 5.
a) Work out
16.3-4.97 + 8.6
(2)
I
b) Work out
2164.89 +7
(2)
Answer:
a)19.93 b)2171.89
Step-by-step explanation:
a) As there are no brackets first do the equation
16.3-4.97 which is 11.33
then you add 8.6 onto that which is 19.93
b)2.164.89+7=2171.89
A radioactive substance decays at a continuous rate of 12% per year, and 90 mg of the substance is present in the year 2000. (a) Write a formula for the amount present, A (in mg), t years after 2000. MathPAD Response msnViewer_resp_str_c04q_go_2_006_1_svg ViewEdit (b) How much will be present in the year 2010
Answer:
A(t) = 90e^0.12t ;
299 mg
Step-by-step explanation:
General Continous growth rate equation :
A = Pe^rt
A = amount present, t years after year of initial amount.
Here,
P = 90 mg, amount in year 2000
r = rate = 12% = 0.12
t = years after 2000
Therefore,
A is written as ;
A(t) = 90e^0.12t
Amount present in year 2010 ;
t = 2010 - 2000 = 10
A(10) = 90e^0.12(10)
A(10) = 90 * e^1.2
= 90 * 3.3201169
= 298.81052
= 299 mg
one less then four times a number is equal to 9 more then six times the number
Answer:
-5
Step-by-step explanation:
4x - 1 = 6x + 9
4x = 6x + 10
-2x = 10
x = -5
Janice attempted to shoot 42 free throws with a basketball. She made 35 of the free throws. Based on those results what would you estimate the probability to be that she makes the next free throw?
A) .5333
B) .6333
C) .7333
D) .8333
Answer:
Probability = 0.8333...
Step-by-step explanation:
Based on the data, the probability is :
P = number of successes/number of possible outcomes
P = 35 /32 = 0.8333...
which agrees with answer D) in your list
What is the value (m2h6w4)3
Answer:
The answer is 144 mhw
Answer:
[tex]3m^{2} 3h^{6}3w^{4}[/tex]
Step-by-step explanation:
[tex]3(m^{2} h^{6}w^{4})\\3m^{2} 3h^{6}3w^{4}[/tex]
What is the answer? I really need it.
Answer:
B
Step-by-step explanation:
Caroline borrowed 300,000 from the bank in order to buy a house. If the simple interest RATE that the bank charged her was 3.5%, and she ended up paying the bank back a total of $615,000 (principal and interest total), how long (in years) did it take her to pay back the loan?
Answer:
915'000.+123=915,123
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent
Answer:
9100.09
Step-by-step explanation:
i did the math so this is it
Find an equivalent expression 3(2d+2) + 2(2d+5)
PLSSSSS I need help
The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4
thankyouuu
Answer:
10d+16
Step-by-step explanation:
=>3(2d+2)+2(2d+5)
=>6d+6+4d+10
=>10d+16
Factor completely 5x^2 - 13x - 6.
A) (5x + 2)(x - 3)
B) (5x - 2)(x + 3)
C) (5x - 3)(x + 2)
D)(5x + 3)(x - 2)
Answer:
A) (5x+2)(x-3)
Step-by-step explanation:
step 1: 5x^2 + 2x - 15x - 6
step 2: x(5x+2)-3(5x+2)
step 3: (5x+2)(x-3)
Answer:
Step-by-step explanation:
(5x + 2)(x - 3)
answer is A
what is the slope of (4,8) and (10,7)
Answer:
The answer is -1 / 6
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1 = m
7 - 8 / 10 - 4 = -1 / 6
Helpppppp me with number 5 pleaseeeeeeeeee
Answer:
16 laps
Since Cheyene ran 16 laps
32-16=16
Stormy ran 16 laps
#CarryOnLearning
A triangle PQR has coordinates (1, 3), (5, 1) and (3, k) respectively in an
anticlockwise direction).
Find the value of k if the triangle's area is 6 units?
Answer:
k=5
Step-by-step explanation:
steps in attachment
Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours?
Answer:
24 miles
Step-by-step explanation:
3 hours = 180 minutes
[tex]\frac{4}{y}: \frac{30}{180}[/tex]
y × 30 = 4 × 180
30y = 720
30y ÷ 30 = 720 ÷ 30
y = 24
VIJWPLAYER
Which ordered air is a solution for the equation y = 4.5x?
A. (0, 4.5)
B. (4.5, 1)
C. (2.9)
D. (18,4)
1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.
Five less than four times a number is equal to three times the number.
2. Alejandra stayed 3 nights in a hotel for a total of $254.91. If each night was the same price, what did Alejandra pay per night? Show your thinking, use units to label your answer!
Answer:
Step-by-step explanation:
4x-5 = 3x
f(x) =
=
Find f'(x) and f''(x).
+
EL
ALEHER
24
) (
f''(x) = {
Epe
To make things easier, first rewrite
f(x) = x / (x + 7/x) = x ² / (x ² + 7)
i.e. multiply f by x/x, which is valid because x can't be 0 anyway as it's outside the domain of f.
Now, by the quotient and chain rules, we get
f '(x) = ((x ² + 7) (x ²)' - x ² (x ² + 7)') / (x ² + 7)²
… = (2x (x ² + 7) - x ² (2x)) / (x ² + 7)²
… = (2x ³ + 14x - 2x ³) / (x ² + 7)²
… = 14x / (x ² + 7)²
f ''(x) = ((x ² + 7)² (14x)' - (14x) ((x ² + 7)²)') / ((x ² + 7)²)²
… = (14 (x ² + 7)² - (14x) (2 (x ² + 7)² (x ² + 7)')) / (x ² + 7)⁴
… = (14 (x ² + 7)² - (14x) (2 (2x) (x ² + 7)²)) / (x ² + 7)⁴
… = (14 (x ² + 7)² - 4x (14x) (x ² + 7)²) / (x ² + 7)⁴
… = 14 (x ² + 7)² (1 - 4x) / (x ² + 7)⁴
… = 14 (1 - 4x) / (x ² + 7)²
… = (14 - 56x) / (x ² + 7)²
Which statement about the quadratic function m(x) = -x2 + 11x - 28 is true?
A. Since m(x) =-(x - 4)(x + 7), the zeros for m(x) are 4 and -7.
B. Since m(x) = -(x - 4)(x - 7), the zeros for m(x) are 4 and 7.
C. Since m(x) = -(x + 4)(x + 7), the zeros for m(x) are -4 and -7.
D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.
Answer:
D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.
Step-by-step explanation:
Answer:
Step-by-step explanation:
So first you want to take the constants of -x^2 (which would be -1) and -28 and multiply them to get the product of 28.
Since the other constant of 11x is 11, you want to find 2 numbers whose sum give you 11 and whose product give you 28. That would be 4 and 7, because 4 + 7 = 11 and 4 * 7 = 28. But since you have -x^2 you will want to put a negative sign in front of one of your x variables and in front of 4 or 7, so that you still get 11x when you factor it out.
So you would set up the equation like this (-x+4)(x-7) = 0. To make it easier to find the values of x, you could just write it out as -x+4 = 0 and x-7 = 0. Than you solve for x in botn euqations.
Then you would find out that x = 4, 7.
Does this help?
need help pls and thank you
Answer:
y=25x
Step-by-step explanation:
It is a linear equation with a slope of 25
brainliest for answer
Answer:
b=2f+6
b=2*9+6
b=18+6
b=24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
2 x 9 + 6 = 24
A certain company’s charges for tiling a rectangular room include the cost of the material used and a flat rate for installation. The length of a certain room is 2 feet more than its width, and the company’s charges, in dollars, for tiling the room are 12.5x(x+2) + 400.
Match each part of this expression with what it represents in this context.
Available Responses:
the width, in feet, of the room
the length, in feet, of the room
the area, in square feet, of the room
the cost, in dollars, for tile per square foot
the amount of materials needed to cover the room's floor
the flat rate, in dollars, the company charges for installation
12.5 represents ______
x(x+2) represents _______
400 represents _______
Answer:
12.5- the cost, in dollars, for tile per square foot
x(x+2)- the area, in square feet, of the room
400- the flat rate, in dollars, the company charges for installation
The length and width of the rectangular room is L = x feet , W = ( x + 2 ) feet
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular room be A
Now , the length of the room L = x feet
And , length of a certain room is 2 feet more than its width
The width of the room W = ( x + 2 ) feet
The total charge for tiling the room C = 12.5 x ( x + 2 ) + 400
Now , the area of the rectangular room A = x ( x + 2 ) feet²
So , the width, in feet, of the room = ( x + 2 ) feet
The length, in feet, of the room = x feet
The area, in square feet, of the room = x ( x + 2 ) feet²
The cost, in dollars, for tile per square foot = $ 12.50
The amount of materials needed to cover the room's floor = 12.5 x ( x + 2 )
The flat rate, in dollars, the company charges for installation = $ 400
Hence , the expressions are solved and the area of rectangle is x ( x + 2 ) feet²
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Pepper Jackie decides her map of the youth center is too small.
She draws a new map of the youth center that is 3 times larger.
What is the scale of the new map?
Answer:
the scale factor is 3.
Answer:
The scale factor is 3.
Need help super fast pls help
Answer:
My answer is 8
Step-by-step explanation:
I calculate the area of all the shapes and added them together
the square comes first = the formlula = a to the power of 2 or just L x W = 2 x 2 = 4
The traingles - the formula = the height x base/2 2 x 2 /2 = 2 ( but there are two traingles so) 2 x 2 = 4
add the two shapes areas together = 4+4 = 8
If the dimension in a room is 10 ft by 20 ft what’s the approximate in square meters
18.58
May Nilbin Be With You
Answer:
60.96 meters
Step-by-step explanation:
Multiply 10 by 20, multiply that answer by 0.3048
how many factors does (2x+5) have
Find this in the graph g(-4) =
Answer:
g(-4) = 1
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)Function NotationStep-by-step explanation:
What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.
∴ g(-4) = 1
Solve the equation. Leave your answer as an improper fraction. Check your solution: -1/2=-5/18=h
Answer:
cant answer with two equal signs
Step-by-step explanation:
but if u mean
-1/2=-5/18+h that equals h=-2/9
and if u mean
-1/2+-5/8=h it equals h= -7/9