Answer:
7
Step-by-step explanation:
subtitue x=2 in given equation as:
y= 2(2)+3
y= 4+3
y=7
please help me, if you help then thanks!
Answer:
B. [tex] {a}^{ - 7 - 10} [/tex] (second option)
Step-by-step explanation:
[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]
[tex] {a}^{ - 7 - 10} [/tex]
[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]
What's the X-Intercepts of (2x-5)(x+1)=9 or (2x-5)(x+1)-9
Answer:
Step-by-step explanation:
Either way works. It comes to the same thing.
(2x-5)(x+1)=9
F: 2x*x = 2x^2
O: 2x*1 = 2x
I: -5 * x = -5x
L: -5*1 = -5
2x^2 + 2x - 5x - 5 = 9 Subtract 9 from both sides
2x^2 - 3x - 14 =0 Divide by 2 (it makes life easier).
Factoring you get
(2x - 7)(x + 2)
2x - 7 = 0
2x = 7
x = 3.5
x + 2 = 0
x = -2
The x intercepts = (3.5,0) and (-2,0)
I've put a graph up for the given equation.
Solve for the value of r.
(7r-5)
(6r+4)°
Answer:
r = 9
Step-by-step explanation:
These are vertical angles, therefore, the measurements is the same. Set the two measurements equal to each other:
7r - 5 = 6r + 4
Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Add 5 and subtract 6r from both sides of the equation:
7r (-6r) - 5 (+5) = 6r (-6r) + 4 (+5)
7r - 6r = 4 + 5
Simplify:
7r - 6r = 4 + 5
r = 9
9 is your value for r.
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find dy/dx x=a(cost +sint) , y=a(sint-cost)
Answer:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].
Step-by-step explanation:
The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)
Make use of the fact that:
[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex].
Find [tex]\begin{aligned} \frac{dx}{dt} \end{aligned}[/tex] and [tex]\begin{aligned} \frac{dy}{dt} \end{aligned}[/tex] as follows:
[tex]\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}[/tex].
[tex]\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}[/tex] as long as [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex].
[tex]\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}[/tex].
Calculate [tex]\begin{aligned} \frac{dy}{dx} \end{aligned}[/tex] using the fact that [tex]\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex]. Assume that [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex]:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}[/tex].
I need help question:how many questions would you need to get correct on a test that has 30 questions to get at least 70% correct?
Answer:
25
Step-by-step explanation:
Answer:
21 answers.
Step-by-step explanation:
First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:
70% = 70/100 = 0.70
Next, multiply 0.70 with the total amount of questions (30):
30 x 0.70 = 21
21 answers must be correct.
Check:
Divide 21 with 30:
21/30 = 0.70 = 70%
~
Round 57.5958961796 to the nearest hundredth.
What Is a constant or the product of a constant and one or more variables
Answer:
A constant or the product of a constant and one or more variables is called a coefficient.
Hope it helps you.The tempature at 5 P.M. is 20 degrees f. The temperature at 10 P.M. is -5 degrees f. How many degrees did the temperature fall?
Answer:
25 degreea bestie hope thiis helped
ABC Company sells a certain product line at an established price of Br 42 per unit The variable cost per unit is Br 36. The fixed cost for the year amounts to Br 540,000 Next year the selling price is to be increased to Br 45perunit. How many units had to be sold at the old established price each year in order to Breakeven
90,000 units of the product has to be sold each year in other to break even.
The old established price = 42 per unit :
The break even unit is the number of units sold such that the net profit = 0
(expenses - income) = 0
The expenses = (Fixed cost + variable cost)
Fixed cost = 540000
Fixed cost = 540000Variable cost per unit = 36
Let the number of units required to break even = x
Expenses = income or revenue
(540000 + 36x) = 42x
540000 + 36x = 42x
540000 = 42x - 36x
540000 = 6x
x = 540000 / 6
x = 90000
Hence, 90,000 units has to be sold at the old established price in other to break even.
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4 2/3 - (1 4/5). PLEASE HELP MEEEEE
Answer: 2 13/ 15
Step-by-step explanation:
Find the sum of the even numbers from 1 to 300
a) 14,280
b) 22,650
c) 16,100
d) 15,460
Answer:
The answer is 22,650
So, option b for you
Step-by-step explanation:
To find the sum of even numbers from 2 to 300, the formula we use is,
N ( N + 1 )
Where N is given by,
N = [( first number + last number)/2] - 1
So here, N = [ (2 + 300 ) / 2 ] - 1 = 150
And hence Sum = 150 * 151 = 22650
the volume of the cone is given by the formula V = 1/3 pie r^2 h, where r is the radius of the base and h is the height of the cone. based on this formula, whatis the height, h, of the cone in terms of the volume and height
answer is h=3v/pie r^2. need help with showing work
9514 1404 393
Answer:
h = 3V/(πr²)
Step-by-step explanation:
The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.
[tex]V=\dfrac{1}{3}\pi r^2h=\dfrac{\pi r^2}{3}h\\\\(\dfrac{3}{\pi r^2})V=(\dfrac{3}{\pi r^2})(\dfrac{\pi r^2}{3})h\\\\\boxed{\dfrac{3V}{\pi r^2}=h}[/tex]
_____
Additional comment
Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.
V = ah ⇒ V/a = (ah)/a = h(a/a) = h·1 = h
Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.
Write the range of the function given in the graph in interval notation.
9514 1404 393
Answer:
(-4, 8]
Step-by-step explanation:
The vertical extent of the graph is ...
-4 < y ≤ 8
In interval notation, the range is (-4, 8].
__
Additional comment
There is a horizontal break (in the domain) at y=3, but no vertical break there. Hence the range is continuous through that region.
Three million, six hundred twenty nine in numbers
Answer:
3,000,629
Step-by-step explanation:
Start with three million as shown below.
Three million, six hundred twenty nine in numbers
3,000,000
"six hundred twenty nine" is simply
629
The number you want is 629 more than 3 million.
Now add the 639 to the 3 million.
Three million, six hundred twenty nine
3,000,629
Solve if x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14.
Answer:
x=3[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
im assuming this a triangle if so all angles add up to 180 so combine all equations and make it so it equals 180
7x-2+2x+8+3x+14=180
Combine Like Terms: 12x+20=180
12x+20-20=180-20
12x=160
12x/12=160/12
x=13[tex]\frac{1}{3}[/tex]
An x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14 value of x is 28.33.
A three angles, AOC, AOB, and BOC, and you're given their measures in terms of x. The problem is likely asking you to find the value of x. Since these angles are in a circle, they must add up to 360 degrees.
The sum of the measures of the angles around a point is 360 degrees:
Angle AOC + Angle AOB + Angle BOC = 360
Substitute the given expressions for the angle measures:
(7x - 2) + (2x + 8) + (3x + 14) = 360
Combine like terms:
12x + 20 = 360
Now, subtract 20 from both sides:
12x = 340
Finally, divide by 12:
x = 340 / 12
x = 28.33
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#SPJ3
[15-(|-6+2|+ squareroot9)]^2
can anyone explain the steps for how to solve it too? i’m confused :(
Answer:
1936
Step-by-step
[tex][15 - (1 - 6 + 21 + \sqrt{9} )] ^{2}[/tex]
use BIDMAS
(1 - 6 + 21 + [tex]\sqrt{9}[/tex]) = (1 - 6 + 21 + 3) = (1 - 30) = -29
[15 - -29] = [15 + 29] because two minuses together make a plus
[tex]44^{2}[/tex] = 1936
How would you write a gain of 16 points as an absolute value?
What value of x makes the equation 3(x-6) – 8x = -2 + 5(2x + 1) true? Show your work.
9514 1404 393
Answer:
x = -1.4
Step-by-step explanation:
3(x-6) -8x = -2 + 5(2x + 1)
3x -18 -8x = -2 +10x +5 . . . . . . . eliminate parentheses
-21 = 15x . . . . . . . . . . . . . . add 5x -3 and collect terms
x = -21/15 = -7/5
x = -1.4
__
Check
3(-1.4 -6) -8(-1.4) = -2 +5(2(-1.4) +1) . . . substitute for x
3(-7.4) +11.2 = -2 +5(-2.8 +1)
-22.2 +11.2 = -2 +5(-1.8)
-11 = -2 -9 . . . . . true
Is 3.6 a natural/counting
Number
Answer:
It’s a rational number
Step-by-step explanation:
The center circle on a soccer field has a radius of 9 yards. What is the area of the center circle? Use 3.14 for pie
Answer:
[tex]\boxed {\boxed {\sf 254.34 \ yd^2}}[/tex]
Step-by-step explanation:
The area of a shape is the space occupied by the surface of an object. The area of a circle can be calculated using the following formula.
[tex]a= \pi r^2[/tex]
The radius (r) of the center circle on the soccer field is 9 yards. We are asked to use 3.14 for pi.
r= 9 yd π= 3.14Substitute these values into the formula.
[tex]a= (3.14)(9 \ yd)^2[/tex]
Solve the exponent.
(9 yd)² = 9 yd * 9 yd = 81 yd²[tex]a= (3.14)(81 \ yd^2)[/tex]
Multiply.
[tex]a= 254.34 \ yd^2[/tex]
The area of the center circle on the soccer field is 254.34 square yards.
When I triple my number and add three and then subtract double my number and add one I get nine what is my number
Answer:
i belive if not mistaken 6
Step-by-step explanatio
Answer and Step-by-step explanation:
I will replicate what you said into an algebraic equation.
Your number will be represented as x.
(3x + 3) - (2x + 1) = 9
Distribute the negative.
3x + 3 - 2x - 1 = 9
Combine like terms.
x + 2 = 9
Subtract both sides of the equation by 2.
x = 7
Your number is 7.
Checking my answer:
(3(7) + 3) - (2(7) + 3) = 9
(21 + 3) - (14 + 3) = 9
24 - 17 = 9
9 = 9 ✓
So, your number is 7.
#teamtrees #PAW (Plant And Water)
I hope this helps!
The length of the parallel sides of a trapezium are 3cm and 1 cm, and the distance between them is 1 cm. What is its area?
Answer:
A = 2 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the distance between parallel sides and b₁, b₂ , the parallel sides
Here h = 1, b₁ = 3, b₂ = 1 , then
A = [tex]\frac{1}{2}[/tex] × 1 × (3 + 1) = [tex]\frac{1}{2}[/tex] × 4 = 2 cm²
i am supposed to use f(x) to solve these but there isn’t an x in them so i am confused, can someone help?
but there have given the formula of g(x) and f(x) ,put it
what is 13 x 12 feet converted is how many inches?
I keep getting 30 but it’s not right. Can anyone tell me the steps?
2[10-3(4-2)]+1
Answer:
9
Step-by-step explanation:
[tex]2[10-3(4-2)]+1\\=2(10-3\times2)+1\\=2(10-6)+1\\=2\times4+1\\=9[/tex]
1. If a = -1 , the value of3a + 1 is
Answer:
[tex]f(a) = 3a + 1 \\ Now,\: a = - 1 \\ f( - 1) = 3( - 1) + 1 \\ f( - 1) = - 3 + 1 \\ \boxed{ f( - 1) = - 2}[/tex]
Therefore, -2 is the right answer.I have to calculate the lengths of all the triangles sides using pythagoras theorem
Answer:
√62 = 8
y = 8
√225 = 15
z = 15
Pythagoras theorem
a^2 + b^2 = c^2
in this case...
y^2 + z^2 = x^2
8^2 + 15^2 = √289
8^2 + 15^2 = 17
x= 17
A
person that weighs 150 pounds on
Earth will weigh 25 pounds on the Moon.
How much will a 90-pound person weigh
on the Moon?
A. 10 lb
B. 12 lb
C. 15 lb
D. 20 lb
Answer:
Step-by-step explanation:
Ans:15 lb
A 90-pound person will weigh 15lb as we weigh six times less on the moon than the earth. So to find out simply divide 90 by 6.
help me do this please!
Answer:
m<ABD = 37°
m<DBC = 58°
Step-by-step explanation:
m<ABD + m<DBC = m<ABC
2x + 23 + 9x — 5 = 95
11x + 18 = 95
-18 -18
--------------------
11x = 77
/11 /11
---------------------
x = 7
Now, plug this into the equation for m<ABD and m<DBC to find their values.
m<ABD = 2x + 23
= 2(7) + 23
= 14 + 23
= 37
m<DBC = 9x — 5
= 9(7) — 5
= 63 – 5
= 58
Now, check to see if our values are right or not.
2x + 23 + 9x — 5 = 95
2(7) + 23 + 9(7) — 5 = 95
14 + 23 + 63 – 5 = 95
100 – 5 = 95
95 = 95 CORRECT
if 3x+7 Y-37 and x = 3, then Y = ?
Answer:
y = 4
Step-by-step explanation:
Given
3x + 7y = 37 ← substitute x = 3 into the equation
3(3) + 7y = 37, that is
9 + 7y = 37 ( subtract 9 from both sides )
7y = 28 ( divide both sides by 7 )
y = 4
Step-by-step explanation:
