Answer:
x = 9
Step-by-step explanation:
The first day, the value was multiplied by 1+30% = 1.30.
The second day, the value was multiplied by 1-30% = 0.70.
Over the 2-day period, the value was multiplied by 1+x%:
1 -x/100 = (1.30)(0.70) = 0.91
x/100 = 1 -0.91
x = 9
The stock fell by 9% overall.
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown. Sam’s Solution Bruno’s Solution If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?
Answer:
Bruno will do 45.7
Step-by-step explanation:
1- gather all info
2-subtract
3- YOURE answer
I want help! Please
Pocket allowance of 5 students respectively are:
125, 75, 150, 175, 200
Find out arithmetic mean.
Answer:
145
Step-by-step explanation:
125+75+150+175+200= 725
725÷5=145
Answer:
145
Step-by-step explanation:
(125+75+150+175+200)÷5
725÷5= 145
If 7+5x+9=−3x , then x=−2 . Drag and drop the reasons to correctly complete each box.
Answer:
Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!
Step-by-step explanation:
2(x+1)+3x=37 *what is x??
2(x+1)+3x=37
simplifythe left side:
2x +2 +3x = 37
Combine like terms:
5x +2 = 37
Subtract 2 from both sides:
5x = 35
Divide both sides by 5:
x = 7
Answer:
x=7
Step-by-step explanation:
2(x+1)+3x=37
Distribute
2x+2 +3x = 37
Combine like terms
5x+2 = 37
Subtract 2 from each side
5x+2-2=37-2
5x = 35
Divide by 5
5x/5 = 35/5
x=7
For questions 1 - 2, complete the given table of values. Then sketch a graph that shows two complete cycles. 1. Y=- cosx 2. Y = sin x+1
Answer:
See attachment.
Step-by-step explanation:
See attachments.
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
A. y=5/4 (x-1)
B. y-1= 5/4 (x-1)
C. y-5= 1/4 (x-1)
D. y= 1/4 (x-5)
Answer:
A. y = 5/4(x - 1)
Step-by-step explanation:
The equation of a line can be written in the form:
[tex]\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the points given,
y1 = 0
y2 = 5
x1 = 1
x2 = 5
Therefore:
[tex]\frac{y - 0}{x - 1}= \frac{5 - 0}{5 - 1} \\\\\frac{y}{x - 1} = \frac{5}{4}[/tex]
Cross multiply:
4y = 5(x - 1)
y = 5/4(x - 1)
A. y = 5/4(x - 1)
Step-by-step explanation:
The equation of a line can be written in the form:
From the points given,
y1 = 0
y2 = 5
x1 = 1
x2 = 5
Therefore:
Cross multiply:
4y = 5(x - 1)
y = 5/4(x - 1)
So I have to compute the following but i don't know what they mean any help?
Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that
[tex]nCr=\frac{n!}{(r!)(n-r)!}[/tex]
Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5
Answer:
(a) 5
(b) 10
(c) 35
(d) 28
(e) 9
(f) 21
Step-by-step explanation:
[tex](\frac{n}{k} )=\frac{n!}{k!(n-k)!}[/tex]
(a)
[tex](\frac{5}{1} )=\frac{5!}{1!(5-1)!} \\\\(\frac{5}{1} )=\frac{5*4*3*2*1}{1*4!} \\\\(\frac{5}{1} )=\frac{120}{1*4*3*2*1} \\\\(\frac{5}{1} )=\frac{120}{24} \\\\(\frac{5}{1} )=5[/tex]
(b)
[tex](\frac{5}{3} )=\frac{5!}{3!(5-3)!} \\\\(\frac{5}{3} )=\frac{5*4*3*2*1}{3*2*1*2!} \\\\(\frac{5}{3} )=\frac{120}{3*2*1*2*1}\\\\(\frac{5}{3} )=\frac{120}{12} \\\\(\frac{5}{3} )=10[/tex]
(c)
[tex](\frac{7}{4} )=\frac{7!}{4!(7-4)!} \\\\(\frac{7}{4} )=\frac{7*6*5*4*3*2*1}{4*3*2*1*3!} \\\\(\frac{7}{4} )=\frac{5040}{4*3*2*1*3*2*1} \\\\(\frac{7}{4} )=\frac{5040}{144} \\\\(\frac{7}{4} )=35[/tex]
(d)
[tex](\frac{8}{2}) =\frac{8!}{2!(8-2)!} \\\\(\frac{8}{2}) =\frac{8*7*6*5*4*3*2*1}{2*1*6!} \\\\(\frac{8}{2}) =\frac{40320}{2*1*6*5*4*3*2*1}\\\\(\frac{8}{2}) =\frac{40320}{1440} \\\\(\frac{8}{2}) =28[/tex]
(e)
[tex](\frac{9}{8} )=\frac{9!}{8!(9-8)!} \\\\(\frac{9}{8} )=\frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1} \\\\(\frac{9}{8} )=\frac{362880}{40320} \\\\(\frac{9}{8} )=9[/tex]
(f)
[tex](\frac{10}{4} )=\frac{10!}{4!(10-4)!} \\\\(\frac{10}{4} )=\frac{10*9*8*7*6*5*4*3*2*1}{4*3*2*1*6!} \\\\(\frac{10}{4} )=\frac{3628800}{24*6*5*4*3*2*1} \\\\(\frac{10}{4} )=\frac{362880}{17280} \\\\(\frac{10}{4} )=21[/tex]
What is the nth term in the sequence: 15, 22, 31, 42, 55
a can contains 15/16 pound of vegetables on serving these vegetables weighs 1/4 pound what is the total number of serving of vegetables in the can
Answer:
3 and 3/16 servings in the can.
Step-by-step explanation:
There are 3 1/4s in 15/16, and there are 3/16 left over.
if two angles are obtuse are they congruent
Answer:
No, obtuse simply means that the angle measures are > 90 and less than 360. Just because two angles are obtuse DOES NOT mean they are congruent.
Answer: No
Step-by-step explanation: Obtuse just means the angle is above 90 degrees and below 360, it doesn't mean its congruent.
zero has _________ reciprocal
Answer:
No
Step-by-step explanation:
No real number when multiplied with zero makes one.
Answer:
Zero has no reciprocal
Step-by-step explanation:
The reciprocal of a number is what you get when you flip the numerator and the denominator of a number. For instance, with the number 5, it can be rewritten as 5/1. The reciprocal of this would therefore be 1/5. For 0, it can also be rewritten as 0/1. However, if you take the reciprocal of this, you get 1/0, which is undefined. Therefore, zero has no reciprocal. Hope this helps!
20 Points + Satisfaction of helping someone for this answer
The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached the
spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
Answer:
[tex]s = \frac{3}{10}m[/tex]
I hope this helps!
Answer: s=3/10m
Step-by-step explanation:
I took the math test in Edgenuity.
Hope this helps!
A rectangle has a width that is 3cm less than its length. The perimeter of the rectangle is 22cm. What is the length and width of the rectangle? Please use problem solving algebraically and explain your answer so i can give you the brainliest. :)
Answer:
The length is 7 and the width is 4
Step-by-step explanation:
l = length
w = l-3
P =2( l+w)
22 = 2( l+ l-3)
Combine like terms
22 = 2(2l-3)
Divide each side by 2
22/2 = 2/2 (2l-3)
11 = 2l-3
Add 3 to each side
11+3 = 2l-3+3
14 = 2l
Divide each side by 2
14/2 =2l/2
7 = l
Now find w
w = l-3
w = 7-3 = 4
Answer: length = 7 cm
Width = 4 cm
Step-by-step explanation:
Perimeter = 2 (l + w)
22 = 2 ( l + l-3)
22=2 (2l - 3)
22=4l - 6
22+6 = 4l
4l = 28/4
l = 28/1 = 7 = length
Width = 7-3 = 4
If the first term of an AP is 'a' and the common difference is 'd', then the sum of n terms of an AP is _______
If the first term of an AP is 'a' and the common difference is 'd', then the sum of n terms of an AP is
[tex] \frac{n}{2} \times 2a + (n - 1)d[/tex]
What is the range of the function f(x) = |x − 1| − 2? All real numbers all real numbers less than or equal to −2 all real numbers less than or equal to 1 all real numbers greater than or equal to −2
Answer:
B.)
Step-by-step explanation:
Took test
At a school dance, student tickets cost $5 each and non-student
tickets cost $7 each. The total amount of money earned from ticket
sales equals $1840. If 120 non-student tickets were sold, which
equation could be used to figure out how many student tickets were
sold?
Considering the number of student tickets sold as x.
5x+7*120=1840
5x+840=1840
5x=1840-840
5x=1000
x=1000/5
x=200
200 student tickets were sold.
Find the degree of each polynomial.
Please help! Correct answer only please! I need to finish this assignment by today.
You flip a coin.
What is P(not tails)?
Simplify your answer and write it as a fraction or whole number.
Answer:
1/2 or 0.5
Step-by-step explanation:
since there are two options, heads and tails, the probability of not flipping tails is 1/2, since the probability of flipping heads is 1/2
Answer:
1/2
Step-by-step explanation:
There are 2 sides of a coin.
Heads or Tails.
That means you have a 1/2 chance of getting tails. This also means you have 1/2 chance of not getting tails, in other words, getting heads.
Need it for grade: What is X???
Answer:
x=6
Step-by-step explanation:
FG + GH = FH
4+x-3 = 2x-5
Combine terms
x+1 = 2x-5
Subtract x from each side
x+1-x = 2x-5-x
1 = x-5
Add 5 to each side
1+5 = x-5+5
6 =x
Answer:
x=6
Step-by-step explanation:
F G + G H = F H
4+x-3 = 2x-5
HELP PLEASE. THIS IS ABOUT FUNCTIONS ! EXPLANATION NEEDED PLEASE
Answer:
B
Step-by-step explanation:
Looking at the graph we can see that the function is increasing -4<x<-2 and 0<x2
The graph is increasing when it is going upwards, or has a slope greater than 0
We can see that happening in two places in the function, which are the intervals of the x coordinate in B
Answer:
B
Step-by-step explanation:
The function is increasing - 4 < x < - 2 and 0 < x < 2 and has a slope greater than 0, and it's happening at 2 places on the graph, so it's B
Hope this helps!
Simplify 14x+5[6-(2x+3)]
Answer:
4x + 15
Step-by-step explanation:
A = 14x + 5[6 - (2x + 3)]
= 14x + 5[6 - 2x - 3]
= 14x + 30 - 10x - 15
= (14x - 10x ) + (30 - 15)
= 4x + 15
Hope this helps!
Which of the following expressions represents the verbal description below?
the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1
Answer:
((4x-6)^3)/(2(x+1))
Answer:
[tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]
Step-by-step explanation:
the difference of 4 times x and 6 4x - 6
the cube of the difference of 4 times x and 6 [tex](4x - 6)^3[/tex]
the sum of x and 1 x + 1
2 times the sum of x and 1 2(x + 1)
the cube of the difference of 4 times x and 6
divided by 2 times the sum of x and 1 [tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]
Therefore, the verbal description "the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1" translates to the expression below.
[tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]
Solve the equation A = bh for b.
Answer:
You have to divide both sides by h, in order to make b the subject :
[tex]A = bh[/tex]
[tex]A \div h = bh \div h[/tex]
[tex] \frac{A}{h} = bh \times \frac{1}{h} [/tex]
[tex] \frac{A}{h} = b[/tex]
[tex]b = \frac{A}{h} [/tex]
Answer:
b=a/h
Step-by-step explanation:
Rewrite the equation as bh=a
Divide each term by h and simplify
b=a/h
Given f(x) = 4x3 − 12x2 + 40x + 12, find f(–2).
Hey there! :)
Answer:
f(-2) = -148.
Step-by-step explanation:
To calculate f(-2), simplify substitute -2 for x in the equation. Therefore:
f(x) = 4x³ -12x² + 40x + 12
Becomes:
f(-2) = 4(-2)³ - 12(-2)² + 40(-2) + 12
Simplify:
f(-2) = 4(-8) - 12(4) - 80 + 12
f(-2) = -32 - 48 -80 + 12
Finally, you get:
f(-2) = -148.
complete the square to solve the equation below (check all that apply)
Answer:
A and D
Step-by-step explanation:
We have to create a perfect square. To make x^2+bx+c into a perfect square, c has to be (b/2)^2. In this case, b is -10. so, c has to be (-10/2)^2, which is 25. To make the left hand side 25, we would have to add 30 to both sides.
This leads to a new equation:
x^2 - 10x + 25 = 9+30
x^2 - 10x + 25 = 39
Now, we can change the left hand side to a perfect square.
(x-5)^2 = 39. (the -5 is b/2)
Then we square root both sides;
x-5 = +/- sqrt39. (When you square root an expression, remember that you need to include both the positive AND negative)
x = 5-sqrt39 or 5+sqrt39
what is the solution to the system of equation below Y equals -1/3 X +6 and X equals -6
Answer:
y = 8
Step-by-step explanation:
y= [tex]\frac{1}{3} x[/tex] + 6
[tex]x[/tex] = -6
y=([tex]\frac{1}{3}[/tex] x 6) + 6
y= 2+6 = 8
Lines l and m are parallel.
Use the diagram to determine the measure of ∠3.
Answer:
∠3 is 70°
Step-by-step explanation:
∠1 is 50° since it is across from another 50° angle
and then you use the equation x+25+2x+50=180 to find x
x then equals 35°
you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°
Answer:
It is 70
Step-by-step explanation
right on egde 2020.
Given a function, describe how to find the average rate of change over a given interval.
Answer:
To find the average rate of change, we divide the change in the output value by the change in the input value. The Greek letter Δ (delta) signifies the change in a quantity; we read the ratio as “delta-y over delta-x” or “the change in y divided by the change in x”.
Answer:
Find the average rate of change of the function
A General Note: Rate of Change
The units on a rate of change are “output units per input units.” The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
Here is a circle touching a square. The area of the square is 36cm squared. Work out the area of the circle. Give your answer in terms of (Pi)
Answer:
see below
Step-by-step explanation:
Because the area of the square is 36 its side is 6 meaning the circle has a diameter of 6. This means that its radius is 3 so its area is 3² * π = 9π.