Answer:
Music place has a better buy
Step-by-step explanation:
CD express
60 dollars / 4 cds = 15 dollars per cd
Music places
75 dollars / 6 cds = 12.50 per cd
14 over 17 as a decimal rounded to the nearest tenth
Step-by-step explanation:
14/17 is 0.82352941176
To the nearest tenth is 0.8
Simply this rational expression.
URGENT! PICTURE INCLUDED
Answer:
35n/17r
Step-by-step explanation:
PLEASE HELP!! (3/5) - 50 POINTS -
Answer:
infinite number of solutions
Step-by-step explanation:
A dependent system is where the two equations are the same line has has an infinite number of solutions
Answer:
[tex]\boxed{\sf D) \ an\ infinite \ number \ of \ solutions}[/tex]
Step-by-step explanation:
A dependent system of equations has an infinite number of solutions.
When you graph the system of equations, both the equations represent the same line and have an infinite number of solutions.
What is the product of 2p + q and -39 - 6p + 1?
0 -12p2 - 6pq – 4p - 32 + 1
O-12p2- 12pq + 2p – 392 +9
- gp² q² + 12pq - 2p + 9
12p2 + 12pq +2p + 302 + 9
Answer:
Option (2)
Step-by-step explanation:
In this question we have to find the multiplication of the two expressions.
(2p + q)(-3q - 6p + 1)
= 2p(-3q - 6p + 1) + q(-3q - 6p + 1) [By distributive property]
= -6pq - 12p²+ 2p - 3q² - 6pq + q
= -12p² - (6pq + 6pq) - 3q² + 2p + q
= -12p² - 12pq + 2p - 3q² + q
Therefore, Option (2) will be the correct option.
PLEASE HELP!!!
Evaluate the expression when b=4 and y= -3
-b+2y
Answer: -10
Step-by-step explanation: All you have to do is plug the values into the equation. -4+2(-3). Then you solve the equation using PEDMAS.
1. -4+2(-3)
2. -4+(-6)
3.-4-6
4.-10
Answer:
8
Step-by-step explanation:
-b + 2y
if
b = 4
and
y = 3
then:
-b + 2y = -4 + 2*6 = -4 + 12
= 8
Yoooooooooooooooooooooooooooooooooooooooo
9514 1404 393
Answer:
C v = √(2KE/m)
Step-by-step explanation:
Solve for v.
[tex]KE=\dfrac{1}{2}mv^2\qquad\text{given}\\\\\dfrac{2KE}{m}=v^2\qquad\text{multiply by $\dfrac{2}{m}$}\\\\\boxed{v=\sqrt{\dfrac{2KE}{m}}}\qquad\text{take the square root}[/tex]
Determine if f(x, y) = 10 − x^2 − y^2
is increasing or decreasing at (7, −3) if we
take y to be constant and let x vary. Also determine if f(x, y) is increasing at
(7, −3) if we take x to be constant and let y vary.
Answer:
Step-by-step explanation:
f(x,y)=10-x^2-y^2
To find derivative of z w.r.t. x is treat any other variable as a constant.
dz/dx=0-2x-0
dz/dx=-2x
Evaluating this at (7,-3) gives us dz/dx=-2(7)=-14.
Since this result is negative, it mrans as x increases z decreases.
f(x,y)=10-x^2-y^2
To find derivative of z w.r.t. y is treat any other variable as a constant.
dz/dx=0-0-2y
dz/dx=-2y
Evaluating this at (7,-3) gives us dz/dy=-2(-3)=6.
Since this result is positive it mrans as y increases z decreases.
plot the points (0, -2) (4, 1)
Jamal traveled a distance of 520 miles in 9 hours. Part of the time, his rate of speed was 55 mph. The rest of the time his rate of speed was 60 mph. How long did Jamal travel at each rate?
Answer:
jamal traveled 5 hours at 55mph and 4 hours at 60mph
Step-by-step explanation:
time x will be time jamal travels 55 mph (in hours)
time y will be time jamal travels 60 mph (in hours)
distanced traveled 520 miles
distance = time*speed
520= x*55+y*60
520=55x+60y
jamal traveled for 9 hours
9 hours is composed to the two times x and y
9=x+y
then
x=9-y
substitute into 520=55x+60y
520=55(9-y)+60y
520=495-55y+60y
520=495+5y
25=5y
y=5
x+y=9
x+5=9
x=4
time x is time jamal travels 55 mph (in hours)
time y is time jamal travels 60 mph (in hours)
jamal traveled 5 hours at 55mph and 4 hours at 60mph
Please help helppp :((((
Answer:
m∠Q = 61°
m∠S = 61°
m∠R = 58°
Step-by-step explanation:
Since we have an isosceles triangle, we know that ∠Q and ∠S are congruent.
Step 1: Definition of isosceles triangle
2x + 41 = 3x + 31
41 = x + 31
x = 10
Step 2: Find m∠Q
m∠Q = 2(10) + 41
m∠Q = 20 + 41
m∠Q = 61°
Step 3: Find m∠S
Since m∠Q = m∠S,
m∠S = 61°
Step 4: Find m∠R (Definition of a triangle)
Sum of angles in a triangle adds up to 180°
m∠R = 180 - (61 + 61)
m∠R = 180 - 122
m∠R = 58°
Pls help me plakalalla
Answer:
#10 x = 6
Step-by-step explanation:
Not sure how many questions you needed answered. The line segments DE + EF = DF
4x - 1 + 9 = 9x - 22
solve for x
x=6
Translate the sentence into an equation.
Four times the sum of a number and 7 equals 3
Answer:
[tex]4(x+7)=3[/tex]
Step-by-step explanation:
Since the sum is being multiplied 4 different times, it's best to write the equation of the sum and the number 4 being in the outside. and since it's saying it equals 3, just add the equal sign
Hope this helps!
- doomdabomb
The dance team is selling headbands to raise
money for dance team jackets. They need
to sell 1,260 headbands. The headbands must
be divided equally among the three coaches.
Each coach is in charge of 10 dancers. If all
the headbands must be sold, how many
headbands will each dancer on the team
need to sell?
Answer:
42 headbands per dancer
Step-by-step explanation:
Selling 1260 headband
Divide by the three coaches
1260/3
420 per coach
Divide by each dancer under a coach
420/10 = 42
Each dancer must sell 42 headbands
Find the sum of the infinite geometric series -27, -9, -3, … The ratio is /3 and u1 is -27
===================================================
Work Shown:
a = -27 = first term
r = 1/3 = common ratio, note how this is between -1 and 1
We start with -27 and multiply by 1/3 each time to get the next term
S = infinite sum
S = a/(1-r), which only works because -1 < r < 1 is true
S = -27/(1-1/3)
S = -27/(2/3)
S = (-27/1) divided by (2/3)
S = (-27/1) times (3/2)
S = (-27*3)/(1*2)
S = -81/2
As you generate and add up the terms of the sequence, the infinite sum slowly starts to approach -81/2 = -40.5; we'll never actually achieve this sum exactly. Think of it as approaching an asymptote.
8. Solve the following triangle for all missing sides and angles.
Part 1: Find the measure of angle B
Part 2: Use the law of sines to find the length of side A
Part 3: Use any method to find the length of side c
Answer:
Parte1 :
∡B= 180 - (42 + 83)= 55°
Parte2 :
Using the law of sines : [tex]\frac{sin 42}{a} = \frac{sin 55}{175}[/tex] ⇔ [tex]a = sin42 \frac{175}{sin 55}[/tex] ⇔ a= 142.95
Parte3 :
Using the same law : [tex]c = sin 83\frac{a}{sin 42}[/tex] or [tex]c= sin 83\frac{175}{sin 55}[/tex] ⇔ c= 212.04
What is the median of these figure skating ratings?
6.0 6.0 7.0 7.0 7.0 8.0 9.0
Answer:
The median would be 7.0.
Step-by-step explanation:
The median of a set of numbers means it is the middle number. since this set has 7 numbers you would need to find the number that is in the middle of the set. This would be the 4th number since it is in the middle. 7.0 is your answer.
Calculate: ㅤ [tex]\lim_{x \rightarrow +\infty}x(\sqrt{x^{2}-1}-x)[/tex]
Answer:
[tex]\displaystyle \large \boxed{ \lim_{x \rightarrow +\infty} {x\left(\sqrt{x^2-1}-x\right)}=-\dfrac{1}{2}}[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]\sqrt{(x^2-1)}-x\\\\=\sqrt{x^2(1-\dfrac{1}{x^2})}-x\\\\=x\left( \sqrt{1-\frac{1}{x^2}}-1\right)[/tex]
For x close to 0, we can write
[tex]\sqrt{1+x}=1+\dfrac{1}{2}x-\dfrac{1}{8}x^2+o(x^2)\\\\\ \text{x tends to } +\infty \text{ means }\dfrac{1}{x} \text{ tends to 0}\\\\\text{So, when }\dfrac{1}{x}\text{ is close to 0, we can write.}\\\\\sqrt{1-\dfrac{1}{x^2}}=1-\dfrac{1}{2}\dfrac{1}{x^2}-\dfrac{1}{8}\dfrac{1}{x^4}+o(\dfrac{1}{x^4})[/tex]
So,
[tex]x\left( \sqrt{1-\frac{1}{x^2}}-1\right)\\\\=x(1-\dfrac{1}{2}\dfrac{1}{x^2}+o(\dfrac{1}{x^2})-1)\\\\=-\dfrac{1}{2x}+o(\dfrac{1}{x})[/tex]
It means that
[tex]\displaystyle \lim_{x \rightarrow +\infty} {x\left(\sqrt{x^2-1}-x\right)}\\\\=\lim_{x \rightarrow +\infty} {-\dfrac{x}{2x}}=-\dfrac{1}{2}[/tex]
Thank you
11. A surveyor at point S discovers that the angle between peaks A and B is 3 times as large as the angle
between peaks B and C. The surveyor knows that ZASC is a right angle. Find mzASs and m2BSC.
The measures of the angles between the peaks are;
m∠BSC = 22.5°
m∠ASB = 67.5°
The reason for arriving at the above angles is as follows:
The known values are;
The location of the surveyor = Point S
The angle between peaks A and B = m∠ASB = 3 times as large as the angle between peaks B and C = 3 × m∠BSC
The measure of angle m∠ASC = A right angle = 90°
Required:
To find m∠ASB and m∠BSC
From the given diagram, we have;
m∠ASC = 90°
m∠ASC = m∠ASB + m∠BSC (angle addition postulate)
m∠ASB = 3 × m∠BSC
∴ m∠ASC = 3 × m∠BSC + m∠BSC = 4 × m∠BSC
m∠ASC = 4 × m∠BSC = 90°
m∠BSC = 90°/4 = 22.5°
m∠BSC = 22.5°
m∠ASB = 3 × m∠BSC
∴ m∠ASB = 3 × 22.5° = 67.5°
m∠ASB = 67.5°
Learn more about angle addition postulate here:
https://brainly.com/question/4208193
Money is invested into an account earning 4.25% interest compounded annually. If the accumulated value after 18 years
will be $25,000, approximately how much money is presently in the account?
a $5,875
b. $11,820
c. $19,125
d. $23,960
Answer:
b. $11,820
Step-by-step explanation:
The 'rule of 72' tells you the doubling time of this account is about ...
(72 years)/(4.25) = 16.9 years
So, in 18 years, the amount will be slightly more than double the present value. That is, the present value is slightly less than half the future amount.
$25,000/2 = $12,500
The closest answer choice is ...
$11,820
__
The present value of that future amount is ...
PV = FV×(1 +r)^-t = $25,000×1.0425^-18 ≈ $11,818.73
The present value is about $11,820.
Answer:
B
Step-by-step explanation:
The perimeter of a rectangle is 360 centimetres. If the ratio of its length to its width is 11:4, find the dimensions of the rectangle.
Answer: Length 132cm, Breadth 48cm
Explanation:
Perimeter = 360cm
Let the length and breadth be x
ATQ
2(11x + 4x) = 360
22x + 8x = 360
30x = 360
x = 360/30
x = 12
Length = 11×12
= 132 cm
Breadth = 4×12
= 48cm
Must click thanks and mark brainliest
Robert, a ninth-grader, has just been told, "The reason you’re having so much trouble with division is that you have never mastered compound multiplication. The Math Basic Skills Tests have indicated this quite clearly. We are going to provide you with instruction in multiplication immediately." Robert’s teacher made what kind of decision relative to his skill level?
Answer:
Diagnostic
Step-by-step explanation:
The teacher made a diagnostic decision relative to Roberts skill level. Before she made this decision, she first started with the process of evaluation to know his strength and also establish his weakness. With the knowledge she has gotten she now plans to him with meaningful learning and an efficient curriculum that would help him in mastering multiplication first before division.
A. y≥13x+6
y<−3x−6
y>x
b. y≥3x+6
y<−13x−6
y>x
C. y≤3x+6
y>−13x−6
y>x
D.y≤13x+6
y>−3x−6
y>x
9514 1404 393
Answer:
D. y≤1/3x+6; y>−3x−6; y>x
Step-by-step explanation:
The shading is below the solid line, so the answer must include the form ...
y ≤ ( )
That solid line has a rise of 1 for each run of 3, so its slope is ...
m = rise/run = 1/3
The only answer choice with y ≤ 1/3x + ( ) is the last one.
y ≤ 1/3x+6y > −3x−6y > xWhich equation will solve the following word problem? In a given amount of time, Jamie drove four times as far as Rhonda. Altogether they drove 125 miles. Find the number of miles driven by each. 4T + T = 125 4T = 125/T T = 125/4T 4T - T = 12
Answer:
1) 4T+T=125
2) Rhonda drove 25 miles
and Jamie drove 100 miles
Step-by-step explanation:
1) Rhonda drove = T
Jamie drove = 4T
4T+T=125
2) 5T=125
T=125/5
T=25
So Rhonda drove T = 25
And Jamie drove 4T = 100
When a number is doubled and the
result is decreased by 4 the answer
is 19. Find the number.
Answer:
7.5
Step-by-step explanation:
(08.01 LC)
4
A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the
height. Using 3.14 for pi, which of the following can be used to calculate the volume?
Answer:
this answer requires that you do a little solving to find all the dimensions we need for the volume.
We know that H (height) = 2m
Diameter = 5 x height, so
Diameter = 5 x 2m = 10m
If you have the formula for finding the volume of a cylinder, it is basically the area of the circular base x cylinder height. You may know already that the area of a circle is (pi) x radius2
So this will be 2 (the height) x (pi) x r2
As we just figured out, the DIAMETER is 10, so the radius is half the diameter = 5.
This brings our volume to 2 x (pi) x 52
= 2 x (pi) x 25
2x25 = 50, so we have 50 x (pi).
Pi = 3.14
50 x 3.14 = 157
And don't forget your units = 157 m3
Diane has a rectangular poster that is 20 centimeters long and 15 centimeters wide. What is the area of the poster in square meters? Do not round your answer. Be sure to include the correct unit in your answer.
Answer:
0.03 square meters
Step-by-step explanation:
1. convert 20 cm, 15 cm into m by dividing the number by 100 then you got 0.2 m and 0.15 m respectively
2. calculate the area by multiply 2 numbers together
0.2 × 0.15 = 0.03 square meter
2 less than five times a number.
Answer:
X will be the number.
5 times that number X is 5X
2 less than 5 times the number is 5X - 2
Hope this helps! Plz mark brainliest! （づ￣3￣）づ╭❤～
Answer
5x + 2
Step-by-step explanation:
5x + 2 or 5x - 2
if pentagon OPQRS is dilated by a scale factor or ?
from the origin to create O'P'Q'R'S: what is the ordered pair of point S'?
Answer:
Option (D) : (3.5, 8.75)
In a cumulative relative frequency curve, the interval with the highest proportion of measurements is the interval with the:_______
a. flattest slope.
b. steepest slope
c. backward slope.
d. negative slope.
Answer:
b. steepest slope
Step-by-step explanation:
The cumulative relative frequency curve also known as Ogive is used for reading the median, upper quartile, lower quartile from the curve and calculating the semi-interquartile range when needed.
From the cumulative relative frequency curve, the interval with the highest proportion of measurements is the interval with the steepest slope. This is because the cumulative relative frequency curve always have a positive slope, and given that the interval has the highest proportion, then the slope will be steepest.
I dont understand how to do this
Answer:
Put 25 in the box.
Step-by-step explanation:
Apply the exponent rule: (ax)^n = a^n × x^n
So we have:
(5x)^2 = 5^2 × x^2
= 25x^2
Best Regards!