Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.
[tex]\frac{3}{5} =k(30)[/tex]
Divide both sides by 1/30 to get k alone.
[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and
[tex]k=\frac{1}{50}[/tex]
Our model then is
[tex]d=\frac{1}{50}w[/tex]
This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.
Answer:
A
Step-by-step explanation:
Answer this ASAP please! Thanks!
Answer:
It is D.
Step-by-step explanation:
270 degrees counterclockwise is 90 degrees clockwise.
Select the two values of x that are roots of this equation.
2x-5=-3x^2
Answer:
A & D
Step-by-step explanation:
=> 3x²+2x-5 = 0
=> Using Mid-term Break Formula
=> 3x²-3x+5x-5 = 0
=> 3x(x-1)+5(x-1) = 0
=> (3x+5)(x-1) = 0
Either,
3x+5 = 0 OR x-1 = 0
x = [tex]-\frac{5}{3}[/tex] OR x = 1
Answer: x = 1 and x = 5/3
Step-by-step explanation:
of a class of 32 students ,17 study music and 20 studyart what is the least number of students who could study both music and art
Answer:
5
Step-by-step explanation:
i’m not able to solve this question
Please answer this function !!!
Answer:
f(6)=-114Solution,
[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]
hope this helps.
Good luck on your assignment..
Answer:
-114
Step-by-step explanation:
To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.
f(x) = -4x + 5x
f(6) = -4(6) + 5(6)
f(6) = -4(36) + 30
f(6) = -144 + 30
f(6) = -114
The answer is -114.
each of the letters in the word SNOWFLAKE are on seperate cards face down on the table. If you pick a card at random, what is the probaility that the letter on it will fall within the range of "L" and "T" in the alphabet?
Answer:
1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:
Answer:
x = 8
Step-by-step explanation:
==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.
Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.
Thus, AB/EF = BC/FG = CD/GH = DA/HE
We have: 3/y = 4/3 = 5/z = x/6
Finding z:
4/3 = 5/z
Cross multiply
4*z = 5*3
4z = 15
z = 15/4
z = 3.75
Let's find x:
5/z = x/6
5/3.75 = x/6
Cross multiply
6*5 = x*3.75
30/3.75 = x
8 = x
x = 8
The total surface area of a right circular cone with the slant height 25cm is 704 sq. cm . Find the volume of the cone.
HELP PLEASE !!!
Answer:
area=πr√{h^2+r^2}
area=704cm^2, Height(h) =25cm
therefore,
by solving, πr√{h^2+r^2}=704cm^2
you will get value of r.
now, volume=πr^2×h/3
putting all values answer will come
Step-by-step explanation:
How do you create and use a table to solve problems?
Answer: Organizes Data
Step-by-step explanation:
A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs
Each term in the sequence below is 2 less than 1/2 the previous term. What term of the sequence will be the first term to be a negative number?
256, 126, 61, 28.5, ....
Plz explain
Answer:
8 th term
Step-by-step explanation:
Continuing the sequence from the last term given (term 4 )
a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25
a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125
a₇ = 0.5 × 4.125 - 2 = 2.125
a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative
The first term to be negative is term 8
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
i hope this helps and its clear !
A helicopter flies 665 feet above ground. What is the measure of the angle of depression from the helicopter to the girl’s line of sight? Round to the nearest degree. 23° 25° 65° 67°
Answer:
67°
Step-by-step explanation:
Given:
Height of helicopter from the ground, x = 665 feet
Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft
Horizontal distance(adjacent) = 280 ft
To find the angle of depression, use the formula:
[tex] tan y = \frac{x}{y} [/tex]
Solve for y:
[tex]y = tan^-^1 (\frac{x}{y})[/tex]
[tex]y = tan^-^1 (\frac{660}{280}) = 67.01[/tex]
Angle of depression = 67°
Answer:
67 degrees
Step-by-step explanation:
Graph y≤−2/3x+6. PLEASE I NEED HELP!!!!:((
Answer:
First graph -2/3x+6 (Slope of -2/3)
(Y intercept of 6)
Then shade everything under that line
Which of the following expressions have a quotient of –2? Check all that apply. –12 ÷ –6 –12 ÷ 6 –6 ÷ –3 6 ÷ –3 –6 ÷ 3
Answer:
12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3
Step-by-step explanation:
Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.
Answer:
2
4
And 5
Step-by-step explanation:
What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x? x = –13 x = StartFraction 5 Over 4 EndFraction x = StartFraction 13 Over 2 EndFraction x = 3
Answer:
8 - 6x + 10x - 15 = 20 -5x
8 + 4x - 15 = 20 - 5x
8 - 15 = 20 - 9x
6 = 20 - 9x
-14 = -9x
divide by -9 .736
Step-by-step explanation:
The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
Simplify the equation, we have
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
8 – 6x + 10x – 15 = 20 – 5x
9x = 27
x = 3
Then the correct option is D.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
[tex]f(x) =x^2[/tex] is, in vertex form,
[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.
g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is
[tex]g(x)=-x^2-4[/tex], choice D in your list.
Answer:
D
Step-by-step explanation:
The opposite side of function f(x) is g(x). So -x².
The y-intercept is -4.
- x² - 4
A 1000 pound boat sits on a ramp inclined at 22 degrees. How much force is pulling down the ramp, and how much force is pressing on a line perpendicular to the ramp?
Answer:
The force pulling down the ramp is 374.6 lb
The force pressing on a line perpendicular to the ramp is 927.1 lb
Step-by-step explanation:
Given;
weight of boat (mg) , w = 1000 lb
angle of inclination of the ramp, θ = 22 degrees.
The force pulling the boat down, which is 'mg' has two components; the parallel component of the force which is pulling down the ramp and the vertical component of the force which is force pressing on a line perpendicular to the ramp
Parallel component of the force, F = mgsinθ
F = wsinθ
F = 1000 sin(22)
F = 1000 x 0.3746
F = 374.6 lb
Vertical component of the force which is force pressing on a line perpendicular to the ramp.
F = mgCosθ
F = wCosθ
F = 1000 x Cos(22)
F = 1000 x 0.9271
F = 927.1 lb
2. Emma is playing a game with two fair dice.
She needs to score 5, using both dice, to win the
game.
What's the probability she will win the game?
Answer:
The required probability is:
[tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
It is given that Emma has two fair dice.
To win, she needs to score 5 using both dice.
Cases, where she can have 5:
{(1,4), (4,1), (2,3), (3,2)}
Let the event be A that she gets a score = 5
Total number of favorable cases, n(A) = 4
Total number of cases for throw of 2 dice, n(S) = 36
These are:
{
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
}
Formula for probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
or
[tex]P(E) = \dfrac{\text{n(E)}}{\text {n(S)}}[/tex]
Using the above formula, the required probability:
[tex]P(A) = \dfrac{\text{n(A)}}{\text {n(S)}}\\\Rightarrow \dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]
So, the required probability is [tex]\dfrac{1}{9}[/tex].
One number is 7 more than twice another. If their difference is 22, what is the larger number?
29
37
43
Answer:
Step-by-step explanation:
We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is
x = 2y + 7
The second equation, then, is
x - y = 22
Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:
2y + 7 - y = 22 and
y + 7 = 22 so
y = 15.
Sub that in for y to solve for x:
x - 15 = 22 so
x = 37
Answer:
its 37
Step-by-step explanation:
calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high
Answer:
432 cm²
Step-by-step explanation:
To find the surface area of a cuboid, there is a formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
Multiply all the terms.
336+96
Add both the terms.
= 432
The surface area of the open cuboid is 432cm².
Answer:
432 cm²
Step-by-step explanation:
The formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
336+96
= 432
The surface area of the open cuboid is 432cm²
x intercept f(x)=(x+4)^2
Answer:
-4Step-by-step explanation:
Given the function f(x)=(x+4)², the x intercept occurs at f(x) = 0, substituting f(x) = 0 into the given equation to get the value of x we have;
[tex]0 = (x+4)^{2} \\[/tex]
Taking the square root of both sides
[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]
Subtracting 4 from both sides of the equation
[tex]x+4-4 = 0-4\\x = -4[/tex]
Therefore the x intercept of the equation is -4
For what values (cases) of the variables the expression does not exist: a/a-b
Answer:
The cases are when a-b = 0 and when a = b
Step-by-step explanation:
An expression is termed as undefined (not to exist) if the denominator of the expression is zero. Given the expression a/a-b, the denominator of the expression is a-b. For the expression to be undefined, the expression at the denominator must be equal to zero i.e a-b = 0
If a - b = 0, then a = 0+b; a = b
Another case for the function not to exist is if a = b
What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3
Answer:
[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]
Hope this helps!
Answer:
(2√7 + 3√6) x (5√2 + 4√3)
Multiply the parentheses
= 10√14 + 8√21 + 15√12 + 12√18
= 10√14 + 8√21 + 30√3 + 12√18
How many seconds are in a day? Use the following unit conversions: 60 sec = 1 min 1 hr = 60 min 24 hr = 1 day A 150 B 1,440 C 3,600 D 86,400
Answer:
There are 86,400 seconds in a day. (Answer choice C)
What does 8:8 equal?
Answer:
1
Step-by-step explanation:
8:8=1
Answer:
8:8 simplified is 1:1 or just 1 for short.
What is the area of the parallelogram if each square is 1 square foot? a. 12 ft ³ b. 12 ft ² c. 12 d. 12 feet
Answer:
12 ft² :)
Step-by-step explanation:
Area of a parallelogram = base * height
4 * 3 = 12
Area of the parallelogram = 12 ft²
Quadrilateral
Wy has vertices W. 19), X10, 10x10,2), and 32,2). Determine if quadrilateral WXYZ is a rhombus,
Answer: no it’s not
Step-by-step explanation:
it’s a square
Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.
Answer:
g(1) = 1.8696
g(2) = 1.8662
Step-by-step explanation:
Simply plug in the x values into the equation in a calc and you should get your answer.
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer
C
Step-by-step explanation:
PRIMERO ENCUENTRAS x
y = 6x - 5
y = x + 5 (-1)
5x + 10
x = 10/5 = 2
ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES
ORIGINALES.
y = 62) - 5 = 7
Which of these numbers have exactly two factors 7 8 9 10
A B C D
Answer:
A. 7
Step-by-step explanation:
If a number has exactly two factors, 1 and itself, the number is a prime number. The only prime number below is 77= 1*7
8= 1*8= 2*4
9= 1*9= 3*3
10= 1*10= 2*5