Step-by-step explanation:
2x + y = 21
Solving
2x + y = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y' to each side of the equation.
2x + y + -1y = 21 + -1y
Combine like terms: y + -1y = 0
2x + 0 = 21 + -1y
2x = 21 + -1y
Divide each side by '2'.
x = 10.5 + -0.5y
Simplifying
x = 10.5 + -0.5y
24x^6y^2
—————-
3x^2y^3
Which expression is equivalent to
?
A. 6 x^4
B. 21x^4
———
y
C. 8x^4
——-
y
D. 8 x^4 y
Answer:
h
Step-by-step explanation:
An item was sold for Rs 540 with a profit of 5% . What was its cost price?
you can buy 5 cans of black beans for $2.40. What is the unit price?
help me please I beg of you math lords
Answer:
48 cents
Step-by-step explanation:
divsion sorry im not a math lord
-135/315 x -81/ - 162 x 49/ -27
Assuming that the x is for multiplying, your answer would be 7/18. The decimal is 0.388889. Hope this helped!
Annie has a collection of large and small books. The mass of a large book is 3/4 kilogram. The mass of a small book is 1/4 kilogram. The total
mass of her collection of books is 11 kilograms.
How many large books does Annie have if she has 8 small books? Enter the answer in the box.
large books
Answer:
12 large books
Step-by-step explanation:
Please solve this and give answer
Answer:
Step-by-step explanation:
Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111
Answer:8 cups
Step-by-step explanation:
find x, then find each angle
Answer:
x=8
Step-by-step explanation:
23x=184
x=8
Help me it’s timed!!!
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice.
How many cups of carrot juice are used for each cup of apple juice?
Answer:
1/2 cup of carrot juice for each cup of apple juice.
Step-by-step explanation:
The ratio of carrot juice to apple juice is 3:6
Also written as 1:2
1/2 cup of carrot juice per 1 cup of apple juice
Can someone help me pls
Answer:
12.3 foot i think
Step-by-step explanation:
P.S. there will be no shadow of the boy if he is standing next to the statue because the shadow of the statue will cover him
just for fun
i don’t get scientific notation. can someone help me on this?
What is the measure of angle H?
A. 80°
B. 75°
C. 110°
D. 95°
Answer:
A. 80
Step-by-step explanation:
T° = H°
if you rotated the first shape to match the second one, H° would fall on T°
Which factor causes Earth’s seasons?
Answer:
Earth's tilted axis makes the seasons. Different parts of Earth receive the Sun at different times in the year.
Quick Fact:
North tilts toward the Sun, it's summer in the Northern Hemisphere.
South tilts toward the Sun, it's winter in the Northern Hemisphere.
Done ✔
what number is halfway between 5.3 and 5.4
Answer:
5.35
Step-by-step explanation:
Find the derivative of (3+tan X )( 4+3 Cos X)
The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].
In this question we shall use the following derivative rules:
Derivative of a sum of functions
[tex]\frac{d}{dt}(f(t) + g(t)) = \frac{df(t)}{dt} + \frac{dg(t)}{dt}[/tex] (1)
Derivative of a product of functions
[tex]\frac{d}{dt}(f(t)\cdot g(t)) = \frac{df(t)}{dt}\cdot g(t) + f(t)\cdot \frac{dg(t)}{dt}[/tex] (2)
Derivative of a constant
[tex]\frac{d}{dt}(k) = 0[/tex], [tex]\forall k \in \mathbb{R}[/tex] (3)
Derivative of a function multiplied by a constant
[tex]\frac{d}{dt}(c\cdot f(t)) = c\cdot \frac{df(t)}{dt}[/tex], [tex]\forall\, c\in \mathbb{R}[/tex] (4)
Derivative of the cosine function
[tex]\frac{d}{dt} \cos t = -\sin t[/tex] (5)
Derivative of the tangent function
[tex]\frac{d}{dt}\tan t = \sec^{2} t[/tex] (6)
Chain rule
[tex]\frac{d}{dt}f[u(t)] = \frac{df(u)}{du}\cdot \frac{du(t)}{dt}[/tex] (7)
Let be [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex], then the derivative of [tex]f(x)[/tex] is:
[tex]f'(x) = \sec^{2}x\cdot (4 + 3\cdot \cos x) + (3+\tan x)\cdot (-3\cdot \sin x)[/tex]
[tex]f'(x) = 4\cdot \sec^{2}x+3\cdot \sec x -9\cdot \sin x -3\cdot \sin x\cdot \tan x[/tex]
[tex]f'(x) = \frac{4+3\cdot \cos x}{\cos^{2}x} -\frac{9\cdot \sin x \cdot \cos x+3\cdot \sin^{2}x}{\cos x}[/tex]
[tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex]
The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].
We kindly invite to check this question on derivatives: https://brainly.com/question/21202620
Please help me on this and I will give you BRIANLEIST Thank You ^ ^
Answer:
the answer is five
Answer:
C: 5
Step-by-step explanation:
A reciprocal means flipping the fraction over.
In this case, 1/5 — 5/1 or just 5.
Hope this helps! Have a great day!
WILL GIBE BRAINLEST
The figure is made up of two cones and a cylinder. Both cones and the cylinder have a 10 mm diameter. What is the exact volume of this figure? What is the volume of this figure? A.250(pi)mm³
B.4007(pi)mm³
C.6257(pi)mm³
D.2500(pi)mm³
Answer:
Step-by-step explanation:
The answer choices don’t make sense. The volume of a cylinder of height 45mm and radius 5mm = π5²*45 = 1125π mm³.
Three of the answer choices are larger than 1125π.
:::::
volume of one cone = πr²h* ⅓
Volume of cylinder section = πr²h
Total volume = πr²h*⅔ + πr²h = πr²h*5/3 = π5²*15*5/3 = 625π
Write an equation that represents the line.
Use exact numbers.
Answer:
1x-2y
Step-by-step explanation:
You have to go down 2 on the y-axis and over to the right 1 on the x axis
The price of the shirt is 40$ the sale. tax is 8%
What is the total price for the shirt
A. 36.80
B. 33.20
C. 48.00
D 43.20
the correct answer is D 43.20
Answer:
A is the answer
Step-by-step explanation:
8% is the same same as 3.20$
So subtract that from 40$
Hope I could help !
If we work out the question ,
£118.80 divided by 22
on a calculator it comes out as 5.4
How could we write this answer as an amount of money?
Answer:
£5.40
Step-by-step explanation:
just add a zero for it to be pence
What is the volume of this rectangular prism?
3
cn
om
5
cm
4
Answer:
1
Step-by-step explanation:
[tex]v = whl[/tex]
1 = 5/4 x 4/3 x 3/5
what is the sum 3/7 + 1/2
Answer:
13/14
Step-by-step explanation:
3/7+1/2
LCM = 14
6/14+7/14=13/14
Answer:
6/14 + 7/14 = 13/14
Find the value of x
Answer:
x = 121
Step-by-step explanation:
Let the measure of the altitude of the given triangle be h units.
By geometric mean theorem:
[tex]h = \sqrt{23 \times x} \\ \\ h = \sqrt{23x} \\ \\ now \: by \: pythagors \: theorem \\ \\ {(x + 11)}^{2} = {h}^{2} + {x}^{2} \\ \\ \cancel{{x}^{2}} + 22x + 121 = {( \sqrt{23x} )}^{2} + \cancel{{x}^{2}} \\ \\ 22x + 121 = 23x \\ \\ 22x - 23x = - 121 \\ \\ - x = - 121 \\ \\ x = 121[/tex]
Write the slope-intercept form of the equation of each line.
Step-by-step explanation:
you look at how the line intersects with an integer point.
on the y-axis, the line has a value of -2 so it has a y-intercept value of -2
so the slope formula is rise/run.
As we can see on the graph, there is no line on the graph that truly lines up with a point besides (0,-2)
if we look at all of the slopes
from A,B,C, and D, and there are not any slopes besides d that are on the graph.
y=mx+b
m=slope
b=y-intercept
If we expand the graph a little bit we can see that the point (0,-2) goes up 7 and goes to the left of 4 units.
so the answer is D : y=-7/4x-2
----------------------------------------------------------------------
and since we go up and to the left or we go down and to the right that determines that the slope is negative.
If we started on a point on the y-axis, and started and went up and to the right or down and to the left.
Hope that helps :)
Please give brainliest
HELP i’m struggling pls
The volume of a cylinder is 471 cm? If the
height is 6 cm, calculate the radius.
Someone plz help
Answer:
Step-by-step explanation:
Formula for volume of a circle: V=πr²
If you multiply the circle by height, it becomes a cylinder.
Formula for volume of a cylinder: V=πr²h
Plug in the numbers and get r by itself:
471 = πr²(6)
Divide both sides by 6:
78.5 = πr²
Divide both sides by π:
25 = r²
Square root both sides:
[tex]\sqrt{25}[/tex] = [tex]\sqrt{r} \\[/tex]²
5 = r
Radius is 5 cm
Ok can someone please help me? i really need help and no one will help me, its easy middle school math
Answer:
Step-by-step explanation:
7) A
8) D
9) B
10) A
30pts + Brainliest to correct answer!!
As indicated below, write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x.
Part 1: Point-Slope form of the linear equation
Part 2: Slope-intercept form of the linear equation
Part 3: The general form of the linear equation
Answer:
See answers below
Step-by-step explanation:
Equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line
Given the line y = x
The slope of the line is 1.
The slope of the line perpendicular is M = -1
Given the point (2,2)
x0 = 2 and y 0 = 2
Substitute
Recall y-y0 = m(x-x0)
y - 2 = -1(x-2) (Point slope form)
Express in slope intercept form;
y - 2 = -1(x-2)
Make y the subject of the formula;
y -2 = -x + 2
y = -x + 2 + 2
y = -x + 4 (slope intercept form)
The general form of linear equation is expressed as the slope intercept form which is y = -x+4
let y = f(x)
f(x) = -x+4
f(x) = 4-x (Linear equation)
HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!