Answer:
A(r)=15-3r
Step-by-step explanation:
switch the sign of 3r to make it -3r
Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175.
Lance bought a used car for $5500. He sold it two years later for $2475. What is the percent change of the price?
Answer: 55%
Step-by-step explanation:
2475/5500 = .45
He sold it for 45% of the price, so it went down by 55%
Look at pic down underrr
Answer:
Triangle rsu = Triangle tus
Statements Reasons
UR ≅ TS Definition of Rectangle
US ≅ US Reflexive Property
<U, <T, <R, <S are all congruent and right angles
Definition of Rectangle
ΔRSU ≅ ΔTUS Side, Angle, Side
UR ≅ TS CPCTC
Just draw a reverse angle,hence you get comparison.
So, satisfying S-S-S
RUS ≅ SUT
RSU ≅ TUS
So, angle
URS = angle TUS
2. Pythagoras Theorem
Triangle RUS
A^2 + B^2 = C^2
Uu^2 + Ss^2 = Rr^2
√Rr = Rr^2 = x
Triangle TUS
A^2 + B^2 = C^2
Ss^2 + Uu^2 = Tt^2
√Tt = Tt^2 = x
UR measure / sin (60) x (90) = US measure.
ST measure / sin (60) x (90) = US measure.
Proves angles RSU = 30 degree
Proves angles TUS = 30 degree
As all adjacent angles in a triangle add up to 180 degree.
Simplify the expression
(C^4/3 x b^1/2)^-3
Answer:
3 b 11 6
Step-by-step explanation:
3 b 1 2 ⋅ b 4 3
Move
b 4 3 . 3 ( b 4 3 b 1 2 )
Use the power rule
a m a n = a m + n
to combine exponents.
3 b 4 3 + 1 2
To write
4 3
as a fraction with a common denominator, multiply by
2 2 . 3 b 4 3 ⋅ 2 2 + 12
To write 1 2
as a fraction with a common denominator, multiply by
3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3
Write each expression with a common denominator of
6
, by multiplying each by an appropriate factor of
1 .
Tap for more steps...
3 b 4 ⋅ 2 6 +3 6
Combine the numerators over the common denominator.
3 b 4 ⋅ 2 + 3 6
Simplify the numerator.
Please help with my Algebra What is the solution to the system of equations? {6x−2y=−144x−3y=−31
Answer:
(x , y)=(-31/306 , 775/51)
Step-by-step explanation:
6x-2y=-144x-3y=-31
Write as a system of equations.
6x-2y=-31
-144x-3y=-31
Multiply both sides of the equation by 24.
144x-48y=-744
-144x-3y=-31
Sum the equations vertically to eliminate at least one variable.
-51y=-775
Divide both sides of the equation by -51.
y=775/51
Substitute the given value of y into the equation 6x-2y=-31.
6x-2x775/51=-31
Solve the equation for x.
x=-31/306
The possible solution of the system is the ordered pair (x , y).
(x , y)=(-31/306 , 775/51)
Simplify: 8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
Answer:
7p-3
Step-by-step explanation:
We are given the expression:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.
(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3
(25p -18p) -3
7p-3
Steps:
Group like terms:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3
Add similar elements:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p
=7p−3
Answer: =7p−3
Please mark brainliest
Hope this helps.
Solve 7x - 1 = 20 help
Which exponential function has a growth factor of One-half?
f(x) = 2(0.5x)
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).
f(x) = 0.5(2x)
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-eighth, one-fourth, one-half, 1, 2.
Answer:
C f(x) = 0.5(2x)
Step-by-step explanation: I got a 96 on the the test so you can trust, unlessssss this is the one question I got wrong!!! .... It's not though so don't worry.
f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.
What is a function?A relation is a function if it has only One y-value for each x-value.
An exponential function with a growth factor of 1/2 would have 1.5^x as part of it
y=a(1+0.5)ˣ is the general term of the exponential function.
In the given functions
f(x) = 2(0.5)ˣ On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).
Hence, f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.
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Which is the solution to -3k-2k+12 = 2k-9?
Answer:
k =3
Step-by-step explanation:
-3k-2k+12 = 2k-9
-5k+12 = 2k -9
Add 5k to each side
-5k+5k+12 = 2k+5k-9
12 = 7k-9
Add 9 to each side
12 +9 = 7k-9+9
21 = 7k
Divide each side by 7
21/7 = 7k/7
3 =k
[tex]answer = 3 \\ solution \\ - 3k - 2k + 12 = 2k - 9 \\ or, \: - 3k - 2k - 2k = - 12 - 9 \\ or, \: - 5k - 2k = - 21 \\ or, \: - 7k = - 21 \\ or, \: k = \frac{ - 21}{ - 7} \\ k = 3 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Help meee with this...............
Answer:
6
Step-by-step explanation:
3x2
Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
reported heights at the school than the mean of the actual, measured heights at the school?
Number Reported height Measured Height Difference
Description
1
61
62
-1
Under reported
2
68
68
0
Accurately reported
3
57.5
56.5
1
Over reported
4
48.5
47
1.5
Over reported
07
75
72
3
Over reported
6
65
65
O
Accurately reported
7
80
78
2
Over reported
8
68
67
1
Over reported
9
69
69.5
-0.5
Under reported
10
63
62.5
0.5
Over reported
Answer:
0.75
Step-by-step explanation:
The table is not well presented (See Attachment)
There are at least two approaches to this question
Method 1:
Steps
1. Calculate the mean of reported heights
Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10
Mean of reported heights = 655/10
Mean of reported heights = 65.5
2. Calculate the mean of measured heights
Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10
Mean of measured heights = 647.5/10
Mean of measured heights = 64.75
3. Get their difference
Difference = Mean of reported heights - Mean of measured heights
Difference = 65.5 - 64.75
Difference = 0,75
Method 2: Calculate the mean of their difference
Mean of difference = Sum of difference / Number of observations
Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10
Mean of difference = 7.5/10
Mean of difference = 0.75
Note that in both cases, the result is 0,75.
Hence, the reported heights at the school is 0.75 greater than the actual measured height
It was hard to do because you wrote it out next time try attaching the file but if my calculations are correct its C.)0.75
What is the graph of g(x)=[x+3]?
Answer:
last one
Step-by-step explanation:
Answer: The first graph
Step-by-step explanation:
2a+6=12 what does a equal a=? Please help.
Answer:
3
Step-by-step explanation:
2a+6=12
Step 1: Subtract 6 from both sides.
2a+6=12
-6 -6
2a=6
Step 2: Divide both sides by 2.
2a/2=6/2
a=3
Answer:
a= 3
Step-by-step explanation:
2a+6=12
2a=12-6
2a=6
a=6/2
a=3 #
Multiply (u-6w-2)(2u+5w)
Answer:
[tex]=2u^2-7uw-30w^2-4u-10w[/tex]
Step-by-step explanation:
[tex]\left(u-6w-2\right)\left(2u+5w\right)\\Distribute\:parentheses\\=u\cdot \:2u+u\cdot \:5w+\left(-6w\right)\cdot \:2u+\left(-6w\right)\cdot \:5w+\left(-2\right)\cdot \:2u+\left(-2\right)\cdot \:5w\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w\\\mathrm{Simplify}\:2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w:\quad 2u^2-7uw-30w^2-4u-10w\\=2u^2-7uw-30w^2-4u-10w[/tex]
A parking lot has four sides. One pair of opposite sides are 100 yards long. The other two sides are 60 yards long. The distance from one end of the longer side to the opposite end of the shorter side is 120 yards. Is the parking lot a rectangle? Answer the questions below to find out.
5. If the distances given form a right triangle, which number is the hypotenuse, and why?
6. Which numbers are the two sides?
Answer:
The parking lot does not form a rectangle.
Step-by-step explanation:
Given: One pair of opposite sides of parking lot are 100 yards long. The other two sides are 60 yards long.
The distance from one end of the longer side to the opposite end of the shorter side is 120 yards.
To find: If the distances given form a right triangle?
Also, to find the hypotenuse and the numbers which represent the two sides.
Solution:
In a triangle, if the square of the length of the longest side is equal to the sum of the squares of the other two sides, then the triangle is said to be a right angled triangle.
[tex](60)^2+(100)^2=3600+10000=13600\\(120)^2=14400\\\therefore (60)^2+(100)^2\neq (120)^2[/tex]
So, the triangle is not a right angled triangle.
So, none of the angles of the parking lot forming a quadrilateral is equal to [tex]90^{\circ}[/tex].
Hence, the parking lot is not a rectangle although the opposite sides are equal.
(A quadrilateral in which opposite sides are equal such each angle is [tex]90^{\circ}[/tex] is a rectangle )
The distances given do not form a right triangle.
Determine the item that would be represented by the independent variable in this situation. Candice picked strawberries to make jam for the fair. each jar of jam requires 25 strawberries. If she wants to make 50 jars of jam, how many strawberries must Candice pick?
a. Candice
b. Strawberries
c. Jars
d. Fair
Answer:
The item that would be represented by the independent variable in this situation is:
b. StrawberriesStep-by-step explanation:
To identify if a variable is dependent or independent, you must think about what variable needs from other to accomplish the exercise, for example, the distance traveled and the time, suppose you want to see how much distance you travel in a determined time, in this case, the distance is a dependent variable and the time an independent variable, this is because the distance you travel depends on the time you use in this activity, but the time will continue advancing no matter if the distance is advancing or not, in the case given, the jars of jam depends on the number of strawberries that Candice has (more jars of jam needs more strawberries) but the strawberries don't depend on the jars of jam, so, the jars of jam are the dependent variable and the strawberries the independent variable.
Answer:
B
Step-by-step explanation:
hhheeeelllllllllllllppppppppp
Answer:
-3x
Step-by-step explanation:
The term that goes in the box is
x * -3
-3x
Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5,11)} D. {(4,5),(6,7),(8,9),(8,11)}
Answer:
A
Step-by-step explanation:
The x values have to be different in order for points not to be on the same vertical line. A function needs to pass the vertical line test.
write an equation for the graph. help :)
Answer:
Since the y-intercept is 400 and the y value fourths for every increase of 2 in x, the equation is y = 400 * (0.5)^x.
A bird (B) is spotted flying 900 feet from an observer. The observer (O) also spots the top of a tower (T) at a height of 200 feet. What is the angle of depression from the bird (B) to the observer (O)? (4 points) Right triangle OTB is shown. Side OT labeled 200 and side BO is labeled 900. The angle B is labeled x degrees.
Answer:
x = 12.52°
Step-by-step explanation:
The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.
The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.
Using tangential ratio we can find the angle of depression. Therefore,
Let
x = angle of depression
tan x = opposite/adjacent
opposite = 200 ft
adjacent = 900 ft
tan x = 200/900
tan x = 2/9
x = tan⁻¹ 2/9
x = tan⁻¹ 0.222
x = 12.5166739144
x = 12.52°
Answer:
The answer is x = 12.84°
Step-by-step explanation: I took the test
Can someone please help me
Answer:
The answer is A
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
[tex]\frac{1}{3}(6x+23)+\frac{1}{3}[/tex]
please see the attached picture for full solution
hope it helps
good luck on your assignment..
True of False: The graph of a rational function R never intersects a vertical asymptote. True or False: The graph of a rational function R never intersects a horizontal asymptote. True or False: The graph of a rational function R never intersects an oblique asymptote.
Answer:
All true
Step-by-step explanation:
By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.
The rectangle below has an area of x^2+11x+28 square meters and a length of x+7, meters. What expression represents the width of the rectangle? Will mark as brainliest
Answer:
The width is x+4
Step-by-step explanation:
A = l*w
x^2+11x+28 = (x+7) *w
Factor the left side
(x+7)(x+4) = (x+7) *w
Divide each side by (x+7)
x+4 = w
The width is x+4
Answer:
x+4
Step-by-step explanation:
x^2+11x+28
x²+7x+4x+28
x(x+7)+4(x+7)
(x+7) (x+4)
area =l * w
l=(x+7)
hence, (x+4) is de width
Find distance of each
Answer:
6 units
Step-by-step explanation:
Since the x coordinate is the same, we only have to look at the difference of the y coordinates
2 - -4
2+4
6
The distance is 6 units
Answer:
the answer is 6 units
Step-by-step explanation:
What company should he rent from
10. What is an expression for the perimeter of the triangle?
11. What is an expression for the area of the triangle?
12. Think about values for x, y, and z that would make the following statements true. If you think these values exist, give an
example of them. If you think they do not exist, explain why.
a.
The perimeter and area are both rational numbers.
b.
The perimeter is an irrational number and the area is a rational number.
C.
The perimeter and area are both irrational numbers.
Answer:
See explanation, and comment for more details!
Step-by-step explanation:
10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.
11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.
12.
a. x=3, y=4, z=5
b. [tex]x=\sqrt{2}, y=\sqrt{2}, z=2[/tex]
c.[tex]x= \sqrt{3}, y=2, z=\sqrt{7}[/tex]
Hope this helps!
I need help, what is 1/4 x 5.
Answer: it would be 1.25 since 1/4 is a fraction
1st 1/4 x 5/1
2nd 1+4 =5 keep the denominator
so the final product would be 5/4 or 1.25
Solution of expression 1/4 × 5 is 1.25
What is division?Division is an operation that represents the basic idea of repeated subtraction of the same number. It is inverse of multiplication operation.
Given expression
1/4 × 5
= 5/4
= 1.25
Hence, 1.25 is solution of given expression.
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A same side interior angle of two parallel lines is three times the other same side interior angle. Find the measures of these two angles.
Answer: The angles are 135° and 45°.
Step-by-step explanation:
In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.
If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.
If the angles are A1 and A2 we have:
A1 + A2 = 180°
and, we also know that A1 = 3*A2, we can replace it in the previous equation and get:
3*A2 + A2 = 180°
4*A2 = 180°
A2 = 180°/4 = 45°
then A1 = 3*45° = 135°
The angles are 135° and 45°.
The cost to purchase a movie from Move Time is 3.00 per movie as well as a 10.00 membership fee. To purchase a movie from Movie City, the membership fee is 30.00 and every downloaded movie is 2.00. How many downloaded movies must be purchased for the monthly price to be the same. (Can someone turn this into an equation for me?)
Answer:
20
Step-by-step explanation:
Let x represent the number of movies bought/downloaded
3x + 10 = 2x +30
Subtract 2x and 10 from both sides
x = 20
Answer:
3x + 10 = 2x + 30
Step-by-step explanation:
Let the number of movies downloaded = x
Movie time:
3x + 10
Movie city:
2x +30
3x + 10 = 2x + 30
3x -2x = 30 - 10
x = 20
