Given monomials are (3/4)pq , (1/2)qr² , -5p²r³ and -6r⁵
On multiplying them then
⇛ [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵]
⇛ [(3/4)×(1/2)×(-5)×(-6)]×(pq×qr²×p²r³×r⁵)
⇛[(3×1×-5×-6)/(4×2)](p×p²)×(q×q)×(r²×r³×r⁵)
⇛ (90/8)×p³×q²×r¹⁰
Since a^m × a^n = a^(m+n)
⇛ (45/2)×p³×q²×r¹⁰
⇛( 45/2 ) p³q²r¹⁰
Answer:- [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵] = (45/2)p³q²r¹⁰
In the equation 2x + 3y = 19, what is the constant?
Answer:
19
Step-by-step explanation:
The numerical value not being used as a multiplier of a variable is referred to as the constant. In this equation, the constant is 19.
_____
Additional comment
In different contexts, all of the numerical values, 2, 3, 19, can be referred to as both coefficients and constants. We can say that x has a constant coefficient of 2. We can say the coefficients in this equation are 2, 3, 19. Use the terminology defined in your curriculum materials.
12 5 x-10 what is the value of x
Answer:
X=23
Step-by-step explanation:
12²+5²=(X-10)²
144+25=(X-10)²
169=(X-10)²
√169=√(X-10)²
13=X-10
X=23
-3 * a number j equals -120
Answer:
j = 40
Step-by-step explanation:
"-3 * a number " means -3j
"equals -120" means = -120
-3j = -120
j = 40
How many fish are in the aquarium in the restaurant?
Answer:
Which Restaurant and aquarium
Step-by-step explanation:
If you tell the name I can answer it
Swapna is 26 years older than her daughter Suma. 6 years later, Swapna will be thrice as old as Suma. Find their present ages.
Ages of swapna and suma are 33 and 7 years old respectively
Let the present age of Swapna be xLet the age of Suma be yIf Swapna is 26 years older than her daughter Suma, then;
x = y + 26 ............... 1
6 years later:
Age of Swapna = x + 6
Age of Suna = y + 6
If Swapna will be thrice as old as Suma, then;
x + 6 = 3(y + 6) ................. 2
Substitute equation 1 into 2:
y + 26 + 6 = 3y + 18
y + 32 = 3y + 18
-2y = -14
y = 7
Since x = y + 26
x = 26 + 7
x = 33
Hence ages of swapna and suma are 33 and 7 years old respectively
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Name an example of a real life use of the sine graph.
Answer:
Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.
im sorry if its wrong I just search this :)
which graph appears to show a proportional relationship between x and y
Answer:
What graph?
Step-by-step explanation:
No wonder why you have been waiting 25+ mins to get an answer
PLEASEEE HELPPP!!!!!
Answer:
-5+.3
Step-by-step explanation:
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Henry made juice from a recipe that called for 1 cup of sugar, 3 cups of lime-drink mix, and 2 gallons of water. Henry filled a container with 18 gallons of water, and used 9 cups of sugar. Based on this information, what is the total number of cups of lime-drink mix Henry used?
Answer:
27
Step-by-step explanation:
2 x 9 = 18 so
3 x 9 = 27 so that means its 27
Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y
a. write two equations in x and y
b. solve your equations to find to values of x and y
please tell me the answer and explain how you got it thanks
Answer:
Below in bold.
Step-by-step explanation:
Use the elimination method:
a. x + y = 23
x - y = 7
b. Adding the 2 equations eliminates y, so we have
2x = 30
x = 15.
Substitute x = 15 in equation a:
15 + y = 23
y = 23 - 15
y = 8.
Answer x = 15, y = 6.
Step-by-step explanation:
this is what you are told in the problem
x+y=23............1 (the sum)
x-y=7.................2 (the difference)
PS make sure to number your equations
in equation 1 we can take x over so that we form a new equation labelled equation 3
y=23-x...........3
sub 3 into 2
x-(23-x)=7
x-23+x=7
2x=7+23
2x=30
x=15.........4
sub 4 into 1
15+y=23
y=23-15
y=8
help me find the derivative
[tex]\dfrac{d}{dx} \left(e^{x^2} \cdot x^2\right)\\\\=e^{x^2} \dfrac{d}{dx} (x^2) + x^2 \dfrac{d}{dx}\left (e^{x^2}\right)\\\\=e^{x^2} \cdot 2x + x^2 \cdot e^{x^2} \cdot \dfrac{d}{dx} (x^2)\\\\=2x e^{x^2} + 2x^3 e^{x^2}\\\\=2xe^{x^2}(1+x^2)[/tex]
calculate the state income tax owed on a $50,000 per year salary (answer is not 2500)
The total tax paid is $2,300 on the yearly salary of $50,000
What tax rate applies to the first $10,000 of salary?
The first $10,000 of the salary would be charged to tax at 3% whereas the next threshold beyond $10,000 up until $50,000, in other words, the difference between the first $10,000 and $50,000, which is $40,000 is taxed at 5%.
The tax on the first $10,000 is computed as shown below:
tax on the first $10,000=$10000*3%
tax on the first $10,000=$300
The tax on the remaining $40,000 is 5% of the amount
The tax on the remaining $40,000=5%*$40,000
The tax on the remaining $40,000=$2,000
In other words, the total tax paid on the $50,000 annual salary is the sum of $300 and the $2000
total tax paid=$300+$2,000
total tax paid=$2,300
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Write an equation of the line that passes through (-1,3) and is parallel to the line y = -3x + 2.
Answer:
y = - 3x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 3 ) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - 3x ← equation of parallel line
Answer:
y = -3x
Step-by-step explanation:
eight years ago mario was 25% younger than he is now how old is mario now
Answer:
32.
Step-by-step explanation:
m is a positive integer and n is a negative integer. Which of these is always positive?
(picture posted below)
A. Only (i)
B. Only (ii)
C. Both (i) and (ii)
D. Cannot say
S ANSWER ASAP!! ILL MARK U BRAINLIEST!!!♡♡♡
Answer:
n
Step-by-step explanation:
it's simple mathematics that's the way it is
Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?
Answer: $53.50 ?
Step-by-step explanation:
In the equation, y=3x+2, is the point (2,8) a solution the equation?
1: Yes, the point is solution
2: No, the point is not a solution
Answer:
Given: The equation of the line y = 3x+2
The condition for a point to be on a line is to satisfy its equation
(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation
3 = 3(1/3) + 2
= 1 + 2
= 3
Hence, (1/3, 3) lies on the line
(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation
8 = 3(2) + 2
= 6 + 2
= 8
Hence, (2, 8) lies on the line
(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation
2 = 3(0) + 2 = 2
Hence, (0, 2) lies on the line(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation
19 = 3(7) + 2
= 21+ 2
= 23 ≠ 19
hence, (7,19) doesn’t lie on the line• Therefore ,Yes the point is a solution .Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!
A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga.
Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?
Answer:
18 Tala
Step-by-step explanation:
6/2= 3
3*6= 18
18 Tala
what is negative 6 + 5 and 1/4?=
Answer:
negative 0.75
Step-by-step explanation:
negative 6 + 5 is negative 1
divide 1/4 wich is 0.25 then
0.25 + negative 1 is negative 0.75
Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%.
Korey's net profit margin is 42.5%.
Net profit margin is the ratio of net income to net sales. It is a profitability ratio. Profitability ratios measure the efficiency with which a company generates profit from its asset.
Net profit margin = net income / net sales
Net profit margin = $1850 / $4350 = 0.425 = 42.5%
A similar question was answered here: https://brainly.com/question/5990973
Answer:
A. 42.5%edge⬇️
Determine which relation is a function.
Question options:
{(–4, 3), (–2, 3), (–1, 2), (2, 5), (3, 2)}
{(–4, 1), (–2, 3), (–2, 1), (–1, 5), (3, 2)}
{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}
{(–4, 1), (–2, 3), (–1, 1), (–1, 5), (3, 2)}
Answer:
the correct answer is option ( C )
Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3
Answer:
[tex]y=10x+24[/tex]
Step-by-step explanation:
Find the derivative of the function
[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]
Determine the slope of p(t) at t=3:
[tex]p'(3)=6(3)-8=18-8=10[/tex]
Find p(3):
[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]
Determine y-intercept:
[tex]y=mx+b[/tex]
[tex]6=10(3)+b[/tex]
[tex]6=30+b[/tex]
[tex]-24=b[/tex]
Final equation:
[tex]y=10x-24[/tex]
I need help with this
Answer:
Slope: Greater for Function A
Y-intercept: Same for both
Step-by-step explanation:
Slope: The easier way would be to just graph where we get a slope of -6 for Function A and a slope of -4 for Function B. Making Function A to have a greater slope
Y-intercept: Easy, we know x=0 in the y-intercept. They both have (0,3) where x=0 meaning both their intercepts are equal
Hope this helps :)
Answer:
The slope is greater for function A and the y-intercepts are the same.
Step-by-step explanation:
The slope for function A :
= (3-0) / (0 - (0.5)
= 3 / -0.5
= -6.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
The slope for function B :
= (3-7) / (0 - (-1)
= -4.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
Find the volume of a cylinder whose radius is 2 cm and whose height is 6 cm (use ╥=3.14 and give the answer to the nearest hundredth).
V = πr²h
V = 3.14 · 2² · 6
V = 3.14 · 24
V = 75.36
Hope this helps!
Answer: 75.36
Step-by-step explanation:
Find the EXACT distance between the two points.
(9, 31) and (12, 25)
Step-by-step explanation:
the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.
and so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse, and a, b being the legs.
so,
the x difference is 9-12 = -3
the y difference is 31-25 = 6
therefore,
distance² = (-3)² + 6² = 9 + 36 = 45
distance = sqrt(45) = 6.708203932...
(Topic: Vectors) - Prove that ADE is a straight line
Answer:
Because the angle is a 180 degree angle.
Step-by-step explanation:
Answer:
If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.
Step-by-step explanation:
hope this helps
pls brainliest
If and , find .
A.
B.
C.
D.
Answer: GOONNA BE BE SIRRRRR BTW I HAVE IPHONE 21345678
Step-by-step explanation:
You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
Answer:
$4,750
Step-by-step explanation:
Answer:
3360
Step-by-step explanation:
1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360
6x+a= 5(x+f) make x subject
Answer:
x = 5f - a
Step-by-step explanation:
6x + a = 5(x + f)
6x + a = 5x + 5f
x = 5f - a