Answer:
They got 3.00 back
Step-by-step explanation:
Since they both bought a book it means you have to double the price of one book.
3.50+3.50=7.00
Then since you are looking for the difference of 10.00 you would subtract it.
10.00-7.00=3.00
How many index laws are there?
Answer:
There are three laws of indices.
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)
Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)
Please Explain.
Part A: The amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s is 6.045 × 10⁴⁰ ergs.
Since the sun produces 3.9 × 10³³ ergs of radiant energy per second, which is a rate, r = 3.9 × 10³³ ergs/s.
We require the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s.
So, this heat Q = rate × time
Q = rt
Substituting the values of r and t into the equation, we have
Q = 3.9 × 10³³ ergs/s × 1.55 × 10⁷ s
Q = 6.045 × 10³³ × 10⁷ ergs
Q = 6.045 × 10⁴⁰ ergs
So, the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s is 6.045 × 10⁴⁰ ergs.
Part B: The measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.
Since 1.8 × 10⁻² mm = 1.8 × 10⁻² mm × 1cm/10 mm = 1.8 × 10⁻³ cm (since 10 mm = 1 cm) and
1.8 × 10² mm = 1.8 × 10² mm × 1 cm/10 mm = 1.8 × 10 cm = 18 cm (since 10 mm = 1 cm)
Since the human hair is small and its diameter of human hair cannot be 18 cm since 18 cm is a large diameter, then the diameter of the human hair has to be 1.8 × 10⁻³ cm = 1.8 × 10⁻² mm which is a small value.
So, measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.
Learn more about radiant energy here:
https://brainly.com/question/22380590
Answer:
WAS THE OTHER ANSWER CORRECT????
Step-by-step explanation:
can i get some help. did it 3 times and still not sure.
Answer:
18
Step-by-step explanation:
The height of the cone is 8, and the diameter is 3. This means that the radius is 3/2, or 1.5. We can plug everything into the formula (using 3 for pi):
[tex]\frac{3(1.5)^2(8)}{3}[/tex]
We can cancel out the 3 from the numerator and the denominator, so we are left with 1.5^2 times 8. 1.5 squared is equal to 2.25, and 2.25 times 8 is equal to 18.
Find the value of x^3 + y^3 + z^3 – 3xyz if x^2 + y^2 + z^2 = 83 and x + y + z = 15
Answer:
180
Step-by-step explanation:
Consider the equation x + y + z = 15
From algebraic identities, we know that (a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)
So,
(x + y + z)^2 = x^2 + y^2 + z^2 + 2(xy + yz + xz)
From the question, x^2 + y^2 + z^2 = 83 and x + y + z = 15
So,
152 = 83 + 2(xy + yz + xz)
=> 225 – 83 = 2(xy + yz + xz)
Or, xy + yz + xz = 142/2 = 71
Using algebraic identity a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca),
x3 + y3 + z3 – 3xyz = (x + y + z)(x² + y² + z² – (xy + yz + xz))
Now,
x + y + z = 15, x² + y² + z² = 83 and xy + yz + xz = 71
So, x^3 + y^3 + z^3 – 3xyz = 15(83 – 71)
=> x^3 + y^3 + z^3 – 3xyz = 15 × 12
Or, x^3 + y^3 + z^3 – 3xyz = 180
Answered by GAUTHMATH
Write in point-slope form, slope-intercept form, and standard form an equation that passes through (-1,2) with slope 4.
point slope form:y-2=4(x+1)
then distribute 4 and simplify y-2=4x+4 , y=4x+6 is the slope -y intercept form
then, move 4x on the left side, you get -4x+y=6 , multiply every term by -1, you get 4x-y=-6 which is standard form.
Is the height of these students a function of their wrist circumference?
Yes because as wrist circumference increases height also increases.
O Yes because a line can be fit to these data to predict other pairings.
No because the height of 151 cm is paired with two wrist circumferences.
O No because the wrist circumference of 16 cm is paired with two heights,
Solve The Equation Below
Answer:
16
Step-by-step explanation:
10 + sqrt(y) = 14
Subtract 10 from each side
10 -10+ sqrt(y) = 14-10
sqrt(y) = 4
Square each side
(sqrt(y)) ^2 = 4^2
y = 16
Hello!
[tex]10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16[/tex]
A is the answer.
Good studies!
A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 12 ft from the
side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answer:
open degrees
Step-by-step explanation:
because I am added all the numbers so it comes
I can't understand that question
Does anyone know how to do these?
Answer:
D.
Step-by-step explanation:
f(x) = [tex]\sqrt[3]{4x}[/tex]
g(x) = 2x + 3
[tex]\frac{f}{g}[/tex] (x) = 'f' divided by 'g'
[tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex] Substitute.
x cannot be -[tex]\frac{3}{2}[/tex] because that would create a zero in the denominator.
That's a no-no.
It makes it 'undefined'
Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of the lines.
Answer:
System of equations
[tex]x + y = 5[/tex]
[tex]y - 2x = -4[/tex]
[tex](x,y) = (3,2)[/tex] --- solution
See attachment for graph
Step-by-step explanation:
Solving (a): Linear equations with 1 solution
The only condition to this is that, the system must have 1 solution.
Other than that, there is no other condition.
A linear equation is represented as:
[tex]ax + by= c[/tex]
For the equation to have 1 solution;
[tex]a_1 * b_2 \ne a_2 * b_1[/tex]
And example of such equation is:
[tex]x + y = 5[/tex]
[tex]y - 2x = -4[/tex]
Solving (b): The graph
See attachment for graph
The solution is the point of intersection of both lines of the graph. So, we have:
[tex](x,y) = (3,2)[/tex]
Write the expression as a single function of alpha.
cos(180°-alpha)
Answer:
-cos α
is the answer-------
Carol wants to build a fence around her
garden to prevent rabbits from eating the
plants. The fencing costs $15 per metre.
How much will it cost to enclose a square
garden with an area of 81 m2?
(Hint: Area of a square = 5?, perimeter of a
square = 4s)
Answer:
540$
Step-by-step explanation:
9x9 = 81
9 + 9 + 9 + 9 = 36
36 x 15 =540
Need helppppp asappp
What is the quotient of the synthetic division problem below, written in polynomial form?
-1| 1 7 15 9 7
Answer:
Step-by-step explanation:
If we have 5 terms to the right of the -1 outside the box thing, that means that our original polynomial is a 4th degree (the degree is one lower than the number of terms in order to allow for the constant which has no variable). Set up the synthetic division as shown in the problem. The rule is to bring down the first term, the 1 to the right of the box, multiply it by the number outside, -1, and put that product up under the next number in line inside the box. Like this:
-1 | 1 7 15 9 7
-1
1
Now add straight down, multiply the sum by -1 and put that product up under the next term in line, the 15:
-1 | 1 7 15 9 7
-1 -6
1 6
Then add straight down again, multiply the sum by -1 and put that product up under the next term in line, the 9:
-1 | 1 7 15 9 7
-1 -6 -9
1 6 9
Then do the same thing. Add straight down, multiply the sum by -1 and put the product up under the next term in line, the 7:
-1 | 1 7 15 9 7
-1 -6 -9 0
1 6 9 0 7
This is the final result. The last number, the 7 is the remainder, but the rest of it makes up what we call the depressed polynomial and is a polynomial that is one degree less than the degree we started with. So this depressed polynomial is a 3rd degree. The numbers are the coefficients on the x terms:
[tex]1x^3+6x^2+9x+0R7[/tex] or more simply stated:
[tex]x^3+6x^2+9xR7[/tex]
Use a double-angle or half-angle identity to find the exact value of each expression?
If 0 < θ < π/2, then 0 < θ/2 < π/4, and for such angles we expect sin(θ/2) to be positive. Also, we know both sin(θ) and cos(θ) will be positive.
Given that tan(θ) = 2, we can find sec(θ) from the Pythagorean identity:
tan²(θ) + 1 = sec²(θ) ==> sec(θ) = √(tan²(θ) + 1)
… ==> cos(θ) = 1/√(tan²(θ) + 1)
… ==> cos(θ) = 1/√5
Now, recall the half-angle identity for sine:
sin²(θ/2) = (1 - cos(θ))/2
==> sin(θ/2) = √[(1 - cos(θ))/2]
==> sin(θ/2) = √[(1 - 1/√5)/2]
==> sin(θ/2) = √[(√5 - 1)/(2√5)]
==> sin(θ/2) = √[(5 - √5)/10]
Cho góc AOB = 100 độ vẽ OC là tia đối của tia OA , OM là phân giác của góc AOB . Tính góc COM?
Answer:
130 độ
Step-by-step explanation:
góc BOC= góc AOC-góc AOB
=180°-100°=80°
góc MOB = góc AOB/2=100°/2=50°( vì OM là tia phân giác của góc AOB)
góc COM= góc MOB + góc BOC
= 50° + 80°
= 130°
Plz answer will give brainliest
These triangles are congruent by SAS, therefore HI and IJ will be the same length.
3v = v + 60
2v = 60
v = 30
Hope this helps!
List the angles in order from the smallest to the largest.
A. T, R, S
B. S, T, R
C. S, R, T
D. T, S, R
Answer:
A. T,R,Snhjiooooogfderyyffddt
What should be subtracted from thrice the rational number -8/3 to get
5/2?
Answer: -21/2 or -10.5
Step-by-step explanation:
Let x be the number that is going to be subtracted from the rational number
3 × (-8/3) - x = 5/2 ⇒ Write the equation
-8 - x = 5/2 ⇒ Do multiplication
-8 - x + x = 5/2 +x ⇒ Add x on both sides
-8 = 5/2 + x ⇒ Simplify
-8 - 5/2 = 5/2 + x - 5/2 ⇒ Subtract 5/2 on both sides
x = -21/2 = -10.5 ⇒ Simplify
Hope this helps!! :)
Please let me know if you have any questions
1. 80 = -10b
2. 6 = 2n
3. -16r = 32
1.
2.
3.
Answer:
1. - 8
2. 3
3. - 2
Step-by-step explanation:
1.
80 = - 10b
- 10b = 80
b = 80 / - 10
b = - 8
2.
6 = 2n
2n = 6
n = 6 / 2
n = 3
3.
- 16r = 32
r = 32 / - 16
r = - 2
Please help!! I have no idea how to do this
Answer:
i have also no idea but plz mark me as brainlist
Can someone help with these two questions
Question 2
3rd part and 4th part are equivalent
Question 3
(i) 762,500
(ii) 7625
(iii) 0.007625
Answered by GauthMath please click thank you and comment thanks if you like it.
x + y = 10 . If y = 8, find the value of x
Answer:
2
Step-by-step explanation:
x + y = 10
y = 8
Substituting in equation,
x + 8 = 10
=>x = 10 - 8
=>x = 2
14-8711
Josie parents opened a college
savings account that pays yearly
simple interest of 5.5%. They opened
the account with $500 and adds $50
each month to her account. How
much money is in her account at the
end of 4 years?
Record your answer and fill in the
bubbles on your answer document.
Be sure to use the correct place
value.
Answer:
$4,208.5
Step-by-step explanation:
The simple interest rate of the college savings account, R = 5.5%
The amount with which the account was opened, P = $500
The amount added each month to her account = $50
The amount in her account after 4 years = Required
The interest on each added $50 is given as follows;
50 × 0.055/12 × (1 + 2 + 3 + ... + 47) = 50 × 0.055/12 × (47/2)(1 + 47) = 258.5
The total amount deposited = 500 + 50 × 47 = $2,850
The total interest = 500×0.55×4 + 50 × 0.055/12 × (47/2)(1 + 47) = 1,358.5
The amount in her account at the end of 4 years, A, is given as follows
A = $2,850 + $1,358.5 = $4,208.5
Please help me with this.. and tell correct answer..
Answer:
Step-by-step explanation:
55 +80 + ∠C = 180 {Angle sum property}
135 + ∠C = 180
∠C = 180 - 135
∠C = 45
The side opposite to the biggest angle is the longest side
Biggest angle is ∠B. So the longest side is AC
Smallest angle is ∠C. So, the shortest side is BA
Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if: a) there must be exactly 3 students on the committee b) there must be at least one teacher and at least one student on the committee (3 marks)
Answer:
a)[tex]X=3300[/tex]
b)[tex]Y=7770[/tex]
Step-by-step explanation:
From the question we are told that:
Number Teachers [tex]T=6[/tex]
Number Student [tex]S=12[/tex]
Number in committee [tex]n=5[/tex]
a) Generally the equation for exactly 3 students on the committee is mathematically given by
[tex]X=^{S}C_3*^{T}C_3[/tex]
[tex]X=^{12}C_3*^{6}C_3[/tex]
[tex]X=3300[/tex]
b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by
Total Ways-(no of ways of selection no teacher or student)
Where total Ways
[tex]T=^{(6+12)}C_5[/tex]
[tex]T=8568[/tex]
Therefore
[tex]Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5[/tex]
[tex]Y=8568-798[/tex]
[tex]Y=7770[/tex]
Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
(i)4u^2+8u
Answer:
Hello,
Step-by-step explanation:
Since 4u²+8u=4u(u+2)
Zeroes ={0,-2}
Coefficients={4,8}
But i don't know the relationship.
Yousuf had 117 marbles and Andrew had 23 marbles. Yousuf then gave some of his marbles to Andrew so that Yousuf ended with thrice as many marbles as Andrew. How many marbles did Yousuf give to Andrew?
Answer:
12
Step-by-step explanation:
117+23=140
140/4 = 35
35-23 = 12
(6x^2-4x-5)(2x^2+3x)
Answer:
[tex]\left(6x^2-4x-5\right)\left(2x^2+3x\right)[/tex]
[tex]=6x^2\cdot \:2x^2+6x^2\cdot \:3x+\left(-4x\right)\cdot \:2x^2+\left(-4x\right)\cdot \:3x+\left(-5\right)\cdot \:2x^2+\left(-5\right)\cdot \:3x[/tex]
[tex]=6\cdot \:2x^2x^2+6\cdot \:3x^2x-4\cdot \:2x^2x-4\cdot \:3xx-5\cdot \:2x^2-5\cdot \:3x[/tex]
[tex]=12x^4+10x^3-22x^2-15x[/tex]
OAmalOHopeO
Find the circumference
Answer:
90 units
Step-by-step explanation:
circumference C = 2 [tex]\pi[/tex]r
taking [tex]\pi[/tex] as 3.
C = 2 × 3 × 15
(15 is the radius of the circle)
C = 90 units
Answer:
90
Step-by-step explanation:
The Answer will be 90 because Pie is being replaced with 3, so it would be like 2(3)(15) which equals to 90.
But If Pie remains pie the equation would look like (2)(3.14)(15) which would turn out to be 94.2
