Which expression is equivalent to 2(3 - x)?
mrs. matthews gave a test to her 120 science students. if she gives 5 bonus points to each test grades , how will this affect the mean , median , and mode scores?
Evaluate the sum of the finite geometric series -5- 10 - 20 - 40 - . . . - 2560
Answer:
-5015
Step-by-step explanation:
Sum of a Geometric Series (finite)
Sₙ = a(rⁿ - 1) / (r - 1)Step 1 : Finding n
aₙ = -2560r = -10/-5 = 2a = -5aₙ = arⁿ⁻¹ -2560 = -5(2)ⁿ⁻¹512 = (2)ⁿ⁻¹2⁸ = (2)ⁿ⁻¹8 = n - 1n = 9Step 2 : Substitute the values in the Sₙ formula
S₉ = -5(2⁹ - 1) / 2 - 1S₉ = -5 x 1023S₉ = -5015Cindy counted 8,723 blue beads, 4,632 red beads, 3,512 green beads, and 5,971 white beads.
Doris counted 6,802 blue beads, 3,162 red beads, 987 green beads, and 2,689 white beads.
How many did Cindy and Doris count in all.
Answer:
36,478 beads
Step-by-step explanation:
8723+4632+3512+5971=22,838
6,802+3,162+987+2,689=13,640
22,838+13,640= 36,478
So Cindy and Doris have 36,478 beads in total.
If the total amount of a loan, $24,000 is paid off in 3 years with an interest rate of 3.70%, compounded monthly, what was the principal rounded to the nearest cent? Provide only a numerical value for your answer (For example, if your amount came to $5,704.97, then you would type in 5704.97 as your answer).
Answer:
21482.20
Step-by-step explanation:
A = P(1+r/m)^mt
A = Total Amount, P = Principal, r = rate. m = number of months, t = time
24000 = P(1 + 0.037/12)^12*3
24000 = P(1.003083333)^36 --- I added 1 to 0.037 divied by 12, then multiplied 12*3 on the outside of the parentheses
24000 = 1.117204101(P)
24000/1,117204101 = 1.117204101P/1.1177204101
P = 21482.20
Good luck! :)
Pls help easy math will give brainlest
Answer:
Problem 17
Independent -- T
dependent -- D
_________________________
Problem 16
Independent -- X
dependent -- Y
_________________________
Problem 18
Independent -- R
dependent -- Q
Step-by-step explanation:
17/3x+17-2/3x-15 what is the solution
Answer:
Step-by-step explanation:
[tex]\sf \dfrac{17}{3}x+17-\dfrac{2}{3}x-15 = \dfrac{17}{3}x-\dfrac{2}{3}x+17-15[/tex]
[tex]=\dfrac{17-2}{3}x + 2\\\\\\=\dfrac{15}{3}x+2[/tex]
Use the vectors v = (3,-4) and w =(1,2) to answer the following questions:
a. Find v. w
b. Find the angle between v and w. Round to the nearest degree.
We will see that for the given vectors:
a) v.w = -5b) The angle between the vectors is 116.57°How to find the dot product?
Remember that the dot product between two vectors:
a = (x₁, y₁) and b = (x₂, y₂) the dot product is:
a.b = x₁*x₂ + y₁*y₂ = |a|*|b|*cos(θ).
a) We have:
v = (3,-4) and w = (1,2)
The dot product will give:
v.w = 3*1 + (-4)*2 = 3 - 8 = -5
b) We will have:
|v|*|w|*cos(θ) = -5
Where:
|v| = √(3^2 + (-4)^2) = 5|w| = √(1^2 + 2^2) = √5Then we have:
5*√5*cos(θ) = -5
cos(θ) = -1/√5
θ = Acos(-1/√5) = 116.57°
The angle between the two vectors is 116.57°.
If you want to learn more about vectors, you can read:
https://brainly.com/question/3184914
Pls help word problem how many hours?
This answer was deemed incorrect, so sorry for posting this!
Plsss help me with this answer this is due tmrw
Answer:
2
Step-by-step explanation:
13+7x=27
-13 -13
7x=14
÷7
x=2
Answer:
x = 2
Step-by-step explanation:
Given
13 + 7x = 27#1) Subtract 13 from each side.
13 + 7x - 13 = 27 - 137x = 14#2) Divide 7 from each side.
7x/7 = 14/7x = 2If y=sin^3 x,prove that d^2y/dx^2 - 2 cot x dy/dx +3y=0
The proof of d^2y/dx^2 - 2 cot x dy/dx +3y = 0 is determined as 6cos²xsinx - 3sin³x - 6cos²xsinx + 3sin³x = 0
Equation of the derivativesThe equation is given as;
[tex]\frac{d^2y}{dx^2} - 2\ cotx \ \frac{dy}{dx} \ + 3y = 0 \ \ ---(1)[/tex]
y = sin³x
First derivative of yy = sin³x
let u = sinx (du/dx = cosx)
y = u³
dy/du = 3u²
[tex]\frac{dy}{dx} = \frac{dy}{du} \ .\ \frac{du}{dx} \\\\[/tex]
dy/dx = 3u² x cosx
dy/dy = 3sin²xcosx
y' = 3sin²xcosx
Second derivative of yy' = 3sin²xcosx
let u = sin²x (du/dx = 2sinxcosx)
v = cosx (dv/dx = -sinx)
[tex]y'' = \frac{d^2y}{dx^2} = V\frac{du}{dx} + U\frac{dv}{dx}[/tex]
y'' = 3[cosx(2sinxcosx) + sin²x(-sinx)]
y'' = 6cos²xsinx - 3sin³x
Substitute first derivative and second derivative of y in equation (1)
[tex]\frac{d^2y}{dx^2} - 2\ cotx \ \frac{dy}{dx} \ + 3y \\\\(6cos^2xsinx \ - \ 3sin^3x) \ - \ 2(\frac{cosx}{sinx} )(3sin^2xcosx) \ + 3(sin^3x) \\\\6cos^2xsinx \ - \ 3sin^3x \ - 6cos^2xsinx \ + \ 3sin^3x = 0 \ \ proved[/tex]
Learn more about differentiation here: https://brainly.com/question/25081524
Pls help math easy will give brainlest
Answer(s)
Problem 9: 138.53
Problem 10: Function
Problem 11: Not A Function (Not Sure)
Edit; Problem 9 should've been right, I have no idea then.
What is the value of this expression when a = 4, b= -5, and c =-7?
a + 2bc/3a
Answer:
The answer would be c- 6 1/6
Step-by-step explanation:
I recommend desmos scientific calculator if you put in a=4, b=-5, c=-7 then plug in the equation it should give you your answer!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer: 40 degrees
Step-by-step explanation:
[tex]\begin{aligned}& \triangle A B C \cong \triangle D E F \\&\therefore \angle A=\angle D \quad(\text{By corresponding parts of a congruent triangle}) \\&x+20=2 x \\&2 x-x=20\\& x=20\\&\therefore m\angle A=x+20=20+20=40^{\circ} \\\end{aligned}[/tex]
Can somebody please help me I will mark u brilliant
Answer:
2/7 + (-3/4) + (-2/7) + 4/3
If we look at 2/7 and (-2/7), we can see that both of them combined will get you a result of 0, so let's do that first.
2/7 + (-2/7) = 0
Now we're left with;
(-3/4) + 4/3
Make sure to convert both fractions into having a common denominator,
[They both have a common denominator of 12], so:
(-3/4) = (-9/12)
4/3 = 16/12
Add them:
(-9/12) + 16/12
16/12 - 9/12
= 7/12, which cannot further be simplified.
evaluate 3 square root 125/1000
Answer: it the first one
Step-by-step explanation:
Simplify: 5/6(12x + 36) + 2/3
Answer:
GG EZ
Step-by-step explanation:
GG 34/57(12/16)=54/65/
67-67-&45&12+3-2(-6)
= simpli
=12-76-Fgh
Explain how to use a graph of the function f(x) to
find f(3)
Answer:
depends
Step-by-step explanation:
f(x) is the function. the (x) corresponds with the x axis or coordinate. so find 3 on the x axis and find its corresponding y.
Charlotte has a peice of string that is 14 feet long. She cuts it into pieces that are each 1/3 foot long. How many cut pieces of string does charlotte have?
Answer:
42
Step-by-step explanation:
Since each cut is 1/3 of a foot, you can tell that it will take 3 pieces to make 1 foot. Based on that ratio, you can do 14*3, which is 42 pieces.
How many solutions does this
system have?
=
-x + 3y = 3
2x – 6у = 30
Express as a sum of logarithms.
[tex] log_{2}(16 \times 24) [/tex]
simplify 15a6bc4/35a2c4 20a3b (3a4b/7) 20a4b 3a3b/7
Answer:
The answer is
C.) 3a⁴b/7
Step-by-step explanation:
I know it's the right answer because It's the answer it showed on Edge.
Suppose that each person sitting in an enclosed room that measures 10 ft x 15 ft x 12 ft produces about 600 BTUs of
body heat per hour. Which statements are correct?
A)
3 people will produce approximately 8.33 BTUs/ft3 in a 9 hour period.
B)
4 people will produce approximately 13.33 BTUs/ft3 in a 10 hour period.
C)
5 people will produce approximately 3.33 BTUs/ft? in a 2 hour period.
D)
6 people will produce approximately 7.33 BTUs/ft3 in a 4 hour period.
E)
7 people will produce approximately 9.33 BTUs/ft3 in a 4 hour period.
The volume of a cuboid is the product of its length, width, and height. Out of the five statements B, C, and E are correct.
What is the volume of a cuboid?The volume of a cuboid is the product of its length, width, and height. It is formulated as:
[tex]\rm \text{Volume of Cuboid} = Length \times Width \times Height[/tex]
As the dimensions of the room are given and a room is mostly in the shape of a cuboid. Therefore, the volume of the room can be written as,
The volume of the room = 10ft × 15ft × 12ft = 1800 ft³
A.)
The heat produced by 3 people in a period of 9 hours will be
= 600 BTU × 3 people × 9 hour
= 16,200 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,200\ BTU}{1800\ ft^3} = 9\ BTU/ft^3[/tex]
Hence, the statement that 3 people will produce approximately 8.33 BTUs/ft³ in a 9 hour period is wrong.
B.)
The heat produced by 4 people in a period of 10 hours will be
= 600 BTU × 4 people × 10 hours
= 24,000 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{24,000\ BTU}{1800\ ft^3} = 13.334\ BTU/ft^3[/tex]
Hence, the statement that 4 people will produce approximately 13.334 BTUs/ft³ in a 10 hour period is correct.
C.)
The heat produced by 5 people in a period of 2 hours will be
= 600 BTU × 5 people × 2 hours
= 6,000 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{6,000\ BTU}{1800\ ft^3} = 3.334\ BTU/ft^3[/tex]
Hence, the statement that 5 people will produce approximately 3.334 BTUs/ft³ in a 2 hour period is correct.
D.)
The heat produced by 6 people in a period of 4 hours will be
= 600 BTU × 6 people × 4 hours
= 14,400 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{14,400\ BTU}{1800\ ft^3} = 8\ BTU/ft^3[/tex]
Hence, the statement that 6 people will produce approximately 7.334 BTUs/ft³ in a 4 hour period is wrong.
E.)
The heat produced by 7 people in a period of 4 hours will be
= 600 BTU × 7 people × 4 hours
= 16,800 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,800\ BTU}{1800\ ft^3} = 9.334\ BTU/ft^3[/tex]
Hence, the statement that 7 people will produce approximately 9.334 BTUs/ft³ in a 4 hour period is correct.
Learn more about the Volume of a Cuboid:
https://brainly.com/question/23118276
#SPJ1
The product of two positive integers is 20. Find the two numbers
Answer:
1 and 20 or 2 and 10 or 4 and 5
Step-by-step explanation:
the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20
Then
20 = 1 × 20
= 2 × 10
= 4 × 5
Linda has a credit card with a balance of $600.00. The APR on her credit card is 18%. Her minimum payment is $20.00. If Linda stops using her credit card, how long will it take (in months) to pay off the $600.00 if she makes only the minimum payment?
What's 3 + 1 because yes
Answer:
4
Step-by-step explanation:
8+y+g+0= 4
please help (due tomorrow)
7:obtuse angle
8:right angle
9:FDE, AFB
What is the slope of
the line?
Give your answer as
a fraction in simplest
form.
Answer:
3/4
Step-by-step explanation:
two points are
(8,6) and (12,9)
formula :
(y2-y1)/(x2-x1)
(9-6)/(12-8) =
3/4
slope often means rate of change
in this graph
price changes as the number of lemon changes
in economics this graph is called the
supply curve
its called the law of supply
increases in price causes increase in the quantity supplied
if something is worth more, it will cause an increase in price which will cause people who want to make money to try supply more of it
quizlet
can someone help me with this
Answer:
32
Step-by-step explanation:
first subtract 8 from his age and then multiply it by four.
А,
С
X = [?]°
55°
D
B
Х
E
→F
Angles are not drawn to scale.
Enter
Answer:
[tex]\displaystyle 35[/tex]
Explanation:
Complementary Angles sum up to ninety degrees, so do the following:
[tex]\displaystyle 90° = 55° + m\angle{DEF} \\ \\ 35° = m\angle{DEF}[/tex]
I am joyous to assist you at any time.