Answer:
5r
Step-by-step explanation:
12−
1
5r
=
60r−1
5r
To solve the equation 12 - 1/5r = 2r + 1 for r, isolate the variable r on one side of the equation. The equation simplifies to 5 = 1, which is not possible. Therefore, there is no solution for r in this equation.
Explanation:To solve for r in the equation 12 - 1/5r = 2r + 1, we will isolate the variable r on one side of the equation.
Step 1: Combine like terms by adding 1/5r to both sides of the equation:
12 - 1/5r + 1/5r = 2r + 1 + 1/5r
12 = 2r + 1 + 1/5r
Step 2: Combine like terms by subtracting 1 from both sides of the equation:
12 - 1 = 2r + 1 - 1 + 1/5r
11 = 2r + 1/5r
Step 3: Combine like terms by finding a common denominator for the terms involving r:
11 = (10r + r)/5r
Step 4: Simplify the equation:
11 = (11r)/5r
Step 5: Multiply both sides of the equation by 5r to eliminate the denominator:
11 * 5r = 11r
55r = 11r
Step 6: Divide both sides of the equation by 11 to solve for r:
55r/11 = 11r/11
5r = r
Step 7: Divide both sides of the equation by r:
5r/r = r/r
5 = 1
No solution exists for this equation.
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Roy took out a 30-year loan for $155,000 at an APR of 5.5%, compounded
monthly. Approximately what would be the total cost of his loan if he paid it
off 4 years early?
O
A. $37,842.06
O
B. $312,423.90
O
C. $316,825.20
O
D. $274,581.84
Answer:
$312,423.90
Step-by-step explanation:
Answer:
312,423.90
Step-by-step explanation:
Correct is b
what is the length of bc in the triangle below
Answer:
This is how i solve it:
Pythagorean theorem:
a squared + b squared = c squared
12 squared + 16 squared = c squared
144 + 256 = 400
square root of 400 is 20
final answer: 20
Andrew draws triangle ABC. He then constructs a perpendicular bisector from vertex A that intersects side BC at point D. What can Andrew conclude, based on his drawing?
AB = BC
BD = DC
AD = BC
AC = BC
Answer:
BD = DCStep-by-step explanation:
A perpendicular bisector is a line segment that goes form a vertex to its opposite side. The important characteristic is that a perpendicular bisector intersects the opposide at the mid point and with a right angle, that's why is called perpendicular and bisector.
So, Andrew can conclude that side BC is divide equally, that is, BD = DC.
Therefore, the right answer is the second choice.
Based on the given information after drawing the triangle Andrew can conclude only BD = DC.
Use the concept of triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Given that,
Andrew draws triangle ABC.
He constructs a perpendicular bisector from vertex A.
The perpendicular bisector intersects side BC at point D.
Based on Andrew's drawing,
He can conclude that BD is equal to DC.
The perpendicular bisector from vertex A divides side BC into two equal parts, making BD and DC congruent.
However, Andrew cannot conclude that AB is equal to BC,
AD is equal to BC, or AC is equal to BC based on the given information.
Hence,
For this triangle Andrew can conclude only BD = DC.
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Evaluate 9 ÷ 3[(20 − 7) − 22].
0.18
0.34
27
51
I don’t even know where to start
Composite figures
Find the volume
Answer:
10488
Step-by-step explanation:
fist find the volume of the triangle prism and regtangle prism
21*23*16/2 (triangular prism) plus 18*23*16 (regtangular prism)
5c + cd, c = 1.5 d = 15
Answer:5(1.5) + 1.5(15)
=7.5 +22.5
=30
Answer:
5(1/5)+ 1/5(15) = 1 + 3 =4
Which set of measurements forms a right triangle? Use the Pythagorean theorem: a2 + b2 = c2.
A) 15, 20, 25
B) 15, 21, 26
C) 14, 20, 25
D) 14, 21, 25
Answer:
A. 15, 20, 25.
Step-by-step explanation:
25^2 = 625
20^2 = 400
15^2 = 225.
Now 625 = 400 + 225 = 625 so it is choice A.
An element with a mass of 550 grams decays by 18.8% per minute. To the nearest minute, how long will it be until there are 60 grams of the element remaining
Answer: 11
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }550
a=starting value = 550
r=\text{rate = }18.8\% = 0.188
r=rate = 18.8%=0.188
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.188=0.812
b=1−r=1−0.188=0.812
\text{Write Exponential Function:}
Write Exponential Function:
y=550(0.812)^x
y=550(0.812)
x
Put it all together
\text{Plug in y-value:}
Plug in y-value:
60=550(0.812)^x
60=550(0.812)
x
\frac{60}{550}=\frac{550(0.812)^x}{550}
550
60
=
550
550(0.812)
x
Divide both sides by 550
0.109091=0.812^x
0.109091=0.812
x
\log 0.109091=\log 0.812^x
log0.109091=log0.812
x
Take the log of both sides
\log 0.109091=x\log 0.812
log0.109091=xlog0.812
use power rule to bring x to the front
\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}
log0.812
log0.109091
=
log0.812
xlog0.812
Divide both sides by log(0.812)
10.638757=x
10.638757=x
x\approx 11
x≈11
Answer:
x\approx 11
x≈11
Can anyone pls help me in this pls I will mark u as brainliest
Answer:
Step-by-step explanation:
the Pythagorean theorem can be used to find the distance between any two points on the COORDINATE PLANEany point where two sides of a polygon meet is called VERTEXThe ABSOLUTE VALUE of any number is written as |a|the distance around a figure is its PERIMETERAn ISSOSCELES TRIANGLE has at least two sides that are same lengthan EQUILATERA TRIANGLE has three sides that are the same lengtha SCALENE TRIANGLE has its three sides all different in lengthcalculate the number in the middle of 14.5 and 5.2
Answer:
9.85
Step-by-step explanation:
Because you need to find the mean by doing (14.5+5.2)/2
Answer:
the middle no is 7.25
14.5/3= 7.25
414 rupees
98942 is the accurate answer
Step-by-step explanation:
when the retailer buys the product, its price would be
480-[480*25/100] = 480-120 = 360 rupees.
if the retailer wants to sell it at a profit of 15%
360+[15/100*360] = 360+54 =414 rupees
In the expression shown below, q represents a fraction
6q
Which statement is true?
A. if q is 2/3, the value of the expression will equal a number less than 6
B. if q is 2/3, the value of the expression will equal a number greater than 6
C. if q is 3/2, the value of the expression will equal a number less than 6
D. if q is 3/3, the value of the expression will equal a number greater than 6
i really really need help with this question really fast please help!!!!!!!
Answer:
A
Step-by-step explanation:
Multiply 6 by 2/3 =4... Less than 6
Answer:
a is correct
Step-by-step explanation:
hope it help
True or False
A proportional relationship is non- linear.
Answer:
False - Linear is a proportional relationship as it is a straight line.
False.
False. A proportional relationship is linear. In a proportional relationship, when one variable increases or decreases, the other variable also increases or decreases at a constant rate. This results in a straight-line graph passing through the origin (0,0). In contrast, a non-linear relationship does not exhibit constant rate of change and does not form a straight line when graphed.
Complete correct question:
True or False
A proportional relationship is non- linear.
Solve each of the following for x:
a. 10x-18=22
b. 1/2x+50=-5
c. 5(x+4)=100
Answer:
A) 4
B)-110
C) 16
Step-by-step explanation:
If you need to know how to solve it I'm here to help!
:)
Find the volume of a solid generated by revolving the region bounded by the graphs of the equations about the y-axis. Y= 4(3-x), Y= 0, and X= 0.
Answer:
[tex]\displaystyle V = 36 \pi[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
GraphingCoordinates (x, y)FunctionsFunction NotationIntersection PointsExpand by FOILCalculus
Integrals
Area under the curveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Volume of Revolution Formula [y-axis]: [tex]\displaystyle V = \pi \int\limits^b_a {r^2} \, dy[/tex]
Step-by-step explanation:
Step 1: Define
Identify
y = 4(3 - x)
y = 0
x = 0
Step 2: Redefine
Rewrite (Revolving around y-axis)
[Division Property of Equality] Divide 4 on both sides: [tex]\displaystyle \frac{y}{4} = 3 - x[/tex][Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle \frac{y}{4} - 3 = -x[/tex][Division Property of Equality] Divide -1 on both sides: [tex]\displaystyle 3 - \frac{y}{4} = x[/tex]Rewrite: [tex]\displaystyle x = 3 - \frac{y}{4}[/tex]Step 2: Find Bounds of Integration
See attachment
Look at y-values, right to left.
Bounds: [0, 12]
Step 3: Find Volume
Substitute in variables [Volume of Revolution Formula]: [tex]\displaystyle V = \pi \int\limits^{12}_0 {(3 - \frac{y}{4})^2} \, dy[/tex][Integrand] Expand [FOIL]: [tex]\displaystyle V = \pi \int\limits^{12}_0 {(\frac{y^2}{16} - \frac{3y}{2} + 9)} \, dy[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle V = \pi \bigg[ \int\limits^{12}_0 {\frac{y^2}{16}} \, dy - \int\limits^{12}_0 {\frac{3y}{2}} \, dy + \int\limits^{12}_0 {9} \, dy \bigg][/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle V = \pi \bigg[ \frac{1}{16} \int\limits^{12}_0 {y^2} \, dy - \frac{3}{2} \int\limits^{12}_0 {y} \, dy + 9 \int\limits^{12}_0 {} \, dy \bigg][/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle V = \pi \bigg[ \frac{1}{16}(\frac{y^3}{3}) \bigg| \limits^{12}_0 - \frac{3}{2}(\frac{y^2}{2}) \bigg| \limits^{12}_0 + 9(y) \bigg| \limits^{12}_0 \bigg][/tex][Integrals] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle V = \pi \bigg[ \frac{1}{16}(576) - \frac{3}{2}(72) + 9(12) \bigg][/tex][Brackets] Multiply: [tex]\displaystyle V = \pi [36 - 108 + 108][/tex][Brackets] Add: [tex]\displaystyle V = \pi [36][/tex]Multiply: [tex]\displaystyle V = 36 \pi[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Applications of Integration
Book: College Calculus 10e
Chaz's new game room is shaped like a cube. It measures 15 feet across. If he wants to paint only the walls of the room, what is the surface area of the region he will paint?
The surface area of the region he will paint is 900 sq.ft.
Step-by-step explanation:
Cubical room measures - 15 ft
Chaz want to paint only the walls of room
Surface of painting region means Lateral surface area (excluding top and bottom)
Lateral surface area of cube = [tex]4a^2[/tex]
⇒ 4 * 15 *15
⇒ 900 sq.ft
The surface area of the region he will paint is 900 sq.ft.
Help please thank you
Answer:
a^-7
Step-by-step explanation:
you would subtract the powers
-13 - -6 = -7
Answer:
1/a^19 (1 over a to the 19th power)
Step-by-step explanation:
when you divide, you subtract the exponents. -13 minus -6 is -19. when its a negative, you put it positive over 1. hope this helps :)
work:
a^-13/a^-6= a^-19
a^-19 --> 1/a^19
*****this is wrong, answer is 1/a^7
Please help me it’s on functions
Answer:
A
Step-by-step explanation:
In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
At this rate, how many miles will a ferry boat travel in 30 minutes
Miles=
Answer:
12 miles
Step-by-step explanation:
If 3/4 pound of broccoli is priced at $2.09 per pound, what is the price?
Answer:
$1.57
Step-by-step explanation:
2.09 × 3/4 = 1.5675, rounded to 1.57
Answer:
I believe the answer is $1.57 about. The answer is longer but that is rounded.
Step-by-step explanation:
I just did 3/4 times 2.09 and got 1.57 because if a whole pound is 2.09 then 3/4 times the whole pound would give you 3/4 of the price.
The amount of money A, accrued at the end of n years when a certain amount, P is invested at a compound annual rate, r, is given by A=P(1+r)n. If a person invests $150 in a account that pays 10% interest compounded annually, find the balance after 5 years .
Answer:
$241.58
Step-by-step explanation:
he amount of money A, accrued at the end of n years when a certain amount, P is invested at a compound annual rate, r, is given by:
[tex]A=P(1+r)^n[/tex]
From the given information:
P =$150
r=10%=0.1
n= 5 years
Therefore the balance after 5 years is:
[tex]A=P(1+r)^n\\=150(1+0.1)^5\\=150*1.1^5\\=\$241.58[/tex]
The balance of the account after 5 years, with an initial investment of $150 and an annual interest rate of 10%, compunded annually, would be approximately $241.58.
Explanation:To find the balance of the investment after 5 years, we substitute the values into the given formula. P is the principal amount which is $150, r is the annual interest rate which is 10% or 0.10 in decimal form, and n is the number of years which is 5. So the formula becomes A = $150 * (1 + 0.10)^5.
To simplify, calculate 1 + 0.10 to get 1.1. Then raise 1.1 to the power of 5 to get 1.61051. Multiply that by $150 to get approximately $241.58. So, the balance of the investment after 5 years would be approximately $241.58.
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4(2x - 5) = 5x -20 +3x
Answer:
All real numbers
Step-by-step explanation:
Distribute the 4 on the left side
4(2x-5)=5x-20+3x
8x-20=5x-20+3x
Combine like terms on the right side
8x-20=8x-20
All real numbers are solutions, because both sides are equal
Hope this helps! :)
markup = percent markup x cost
markdown = percent markdown x original price
Andie bought a tablet computer whose original price was $149. It was marked down 35%.
What was the sale price of the computer?
2 dots plots with number lines going from 0 to 10. Plot A has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 2 above 5, 2 above 6, 2 above 7, 0 above 8 and 9, and 1 above 10. Plot B has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 dots above 8, 9 and 10. Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.
Answer:
First one:
Both the mean and median are greater for Plot A than for Plot B
Step-by-step explanation:
Set A:
Mean:
[1×10 + 2×7 + 2×6 + 2×5 + 2×4 + 1×3]/10
= 5.7
Median:
Median position: (10+1)/2 = 5.5th value
(5+6)/2
Median = 5.5
Set B:
Mean:
[1×7 + 3×6 + 3×5 + 2×4 + 1×3]/10
= 5.1
Median:
Median position: (10+1)/2 = 5.5th value
(5+5)/2
Median = 5
Mean: A is greater
Median: A is greater
This is not for this exact question, but I realized there was no answer to: Which statement correctly compares the measures of center of the data in the dot plots?
Answer:
C: The mode is greater for Mrs. Ramos’s class.
Step-by-step explanation:
edg2020
Please Help!!!
Using a video camera positioned on a table, Kat records her hanging flower basket to find out what is eating the blooms. The camera is positioned so that the line of sight to the basket forms a 25° angle of elevation. The camera sits 42 inches above the ground and the base of the table is 72 inches from the base of the rod the flower basket hangs on. To the nearest tenth of an inch, how high above the ground is the flower basket?
Edit: I got the answer it's 75.5
Answer:
75.5
Step-by-step explanation:
The correct height of the flower basket above the ground is 75.5 inches.
To determine the height of the flower basket above the ground, we can use trigonometry. The camera forms a 25 ° angle of elevation with the flower basket, and the distance from the camera to the base of the rod is given as 72 inches. We also know that the camera is positioned 42 inches above the ground.
We can use the tangent function, which relates the angle of elevation to the opposite side (the height of the flower basket above the camera's height) and the adjacent side (the horizontal distance from the camera to the rod).
Let's denote the total height of the flower basket above the ground as h, and the height of the camera above the ground as [tex]h_c[/tex] = 42 inches. The height of the flower basket above the camera is then [tex]\( h - h_c \)[/tex].
Using the tangent function:
[tex]\tan(25\°) = \frac{\text{opposite}}{\text{adjacent}}[/tex]
[tex]= \frac{h - h_c}{72}[/tex]
We can solve for h:
[tex]\[ h - h_c = 72 \times \tan(25\°) \][/tex]
[tex]\[ h = 72 \times \tan(25\°) + h_c \][/tex]
Now we calculate the value of tan(25°) and substitute the known values:
[tex]\[ h = 72 \times \tan(25\°) + 42 \][/tex]
Using a calculator, we find that 25° is approximately 0.4663. Plugging this value into the equation gives us:
h = 72 x 0.4663 + 42
h = 33.5 + 42
h = 75.5
Therefore, the flower basket is approximately 75.5 inches above the ground.
factor this expression
r^2-2t-24
Step-by-step explanation:
First we will multiply 24 by 1 = 24 we have to find the factors of 24 that may add or subtract = 2
So
r2 - 6t + 4t - 24
r2 - 6t + 4 ( t - 6)
So the factors are ( r2 - 6t + 4) and (t - 6)
Drag a vertex of the triangle to change its shape double click or double tap a vertex or side to prevent it from changing
Answer:
if its select all that apply then its B,C,E
Step-by-step explanation:
There are different types of triangle and they include:
Equilateral TriangleScalene TriangleIsosceles Triangle, etcWhat is a Triangle?This refers to a plane figure with three vertices with three straight sides and creates an angle.
Please note that your question is incomplete so I gave you a general overview to give you a better understanding of the concept.
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Three coins are flipped,what is the Probability of getting one HEAD and two TAILs?
Answer:
3/8
Step-by-step explanation:
So, three outcomes give two heads and a tail (HHT, HTH, THH). Therefore, the probability of getting two heads and a tail is 3/8.
Answer:
3/8
Step-by-step explanation:
The possible outcomes are
HHH HHT HTH HTT
TTT TTH THT THH
where H is heads and T is tails
We want one head and two tails
HTT,TTH THT
There are 3 choices that fit
P ( one head and two tails is)= number of one head two tail/ total
= 3/8
WILL MARK U AS BRAINLIEST PLZ HELP
Answer:
112 if you don't include the triangle sides as they are not necessary, but 124 if you include one triangle and 136 if you include both triangle sides
Snsnnesnsnsnsmsmzmzmzmzzksskss
Answer:
nice
Step-by-step explanation:
mhm thats very nicee
Calculate the number in the middle of 8.6 and 21.3
Answer:
14.95
Step-by-step explanation:
Use a median calculator
Final answer:
To find the number in the middle of 8.6 and 21.3, you calculate their average by adding them together and dividing by two, resulting in 14.95.
Explanation:
To calculate the number in the middle of 8.6 and 21.3, we need to find the average of these two numbers. To do this, you add the two numbers together and then divide by two.
The calculation is therefore: (8.6 + 21.3) / 2.
Adding 8.6 and 21.3 gives us 29.9, and dividing 29.9 by 2 gives us 14.95. So, 14.95 is the number in the middle of 8.6 and 21.3.