Answer:
\(3b+9n-8\)
Step-by-step explanation:
Combine like terms:
\(7b+8n-4b-8+n=3b+8n-8+n\)
Combine like terms:
\(3b+8n-8+n=3b+9n-8\)
1. Solve the following system of equations graphically. Make sure to check the solution.
y = 1/2x - 3
y = 3/4x + 2
Answer:
Step-by-step explanation:
\( - 9 - ( - 4) = \)
i don't know
\(\sf\purple{-5}\) ✅
Step-by-step explanation:
\( - 9 - ( - 4) \\ = - 9 + 4 \\ = - 5\)
Note:-
\(\sf\red{(-)\:x\:(-)\:=\:+}\)
\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)
Answer:
- 9 -( -4) = -5
Step-by-step explanation:
-9-(-4)
solve the one in the bracket first because there is a minus sign between 9 and the bracket so we cannot use the 9 to multiple the number four in the bracket.
-9+4
the sign has changed to positive because when negative numbers are multiplying each other to will turn in to become positive.
so -9+4= -5
solution.
-9-(-4)
-9+4
-9+4= -5
therefore the answer is -5.
Use the literal symbols listed at the end of the problem to translate the given statement into an algebraic formula.
In a given weight, the number of grams equals 454 times the number of pounds. (g. p)
Choose the correct formula below.
A. g=454 +p
C. p=454g
E. g=454-p
G. g= 454
——
p
B. p=454 +g
D. p=454-g
F. g=454p
H. g= p
—
454
Answer this for 5 star! Need explanation
Answer: 6
Step-by-step explanation: To solve we first start by adding like terms in our equation which is 30 + 54 = x(5+9) which becomes 84=x(14). Now we need to isolate the x variable by dividing both sides by 14.
x(14) ÷ 14 = x, 84 ÷ 14 = 6
This leaves us with the answer x = 6
Melissa used her credit card to buy a $745 refrigerator. She kept the refrigerator for exactly nine years, during which time it consumed an average of $0.19 of electricity every day. Melissa’s credit card has an APR of 16.84%, compounded monthly. Melissa paid off her refrigerator by making identical monthly payments for four years. If she made no other purchases with her card, what percentage of the lifetime cost of the refrigerator did the electricity make up? (Assume that two of the years were leap years, and round all dollar values to the nearest cent.) a. 59.17% b. 18.48% c. 66.99% d. 37.77%
Answer:
37.77
Step-by-step explanation:
P= PV x i / 1- (1+i)^-n
PV = 745
I = .1684 / 12 = .01403
N = 4 x 12 = 48
.19 x (365 x 9) = 624.53
21.4338469 x 48= 1028.12
624.53 / (624.53+1028.12) = 37.77
The percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.
Percentage of the lifetime costUsing this formula
P= Pv x i / 1- (1+i)^-n
Where:
Present value = 745
Interest= .1684 / 12 = .01403
Number of months = 4 x 12 = 48
Hence:
Percentage=.19 x (365 x 9)/(.19 x (365 x 9)+(21.4338469 x 48)
Percentage=624.53 / (624.53+1028.12)
Percentage= 37.77%
Inconclusion the percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.
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If ok please list the steps tysm!!
(a) Estimate the result of 849.275×71.241 by rounding off each number to a suitable number of significant figures.
(b) Estimate the result of 258.41÷3.96 by rounding off each number to a suitable number of significant figures.
A is 60,503.200275
B is 60,503.200275
the sum of 22 and n is equal to 45.13
Answer:
23.13
Step-by-step explanation:
If a skier travels 4700 feet up a ski lift whose angle of inclination is 30°, how high above his starting level is the skier?
If a skier travels 4700 feet up a ski lift whose angle of inclination is 30°, how high above his starting level is the skier is 2350 feet.
HeightGiven data:
Distance = 4700 feet
Angle of inclination = 30°
Now let determine the height by formulating an equation which will help us to find the height
4700 × sin 30°
Where:
Sin 30° = 0.5 or 1/2
Hence,
Height :
Height = 4700 feet × 0.5
Height = 2350 feet
So,
Height = 2350 feet above the starting level
Therefore we can conclude that the skier is 2350 feet above the starting level.
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22. Mark is making a small frame in the
shape of an equilateral triangle with the
dimensions shown below. What is the
perimeter of the frame?
Plz Help me
Answer:
B)9.5
Step-by-step explanation:
Peppa's brother George spilled milk on her math
homework and all she can see are two points in her
table. The points are (3, 8) and (10, 2335.43). Peppa
still has to find the equation representing the values in
her table.
Explain to Peppa how to find the equation (y= a(b))
using her two points and write the exponential equation.
Explain and show work for every step.
Answer:
i need help with this one
Step-by-step explanation:
I have taken a picture for easier access.
Find the amount of money in the account after 6 years at 4% APR compounded monthly if $18000 were inititally deposited
Answer:
22,873.35
Step-by-step explanation:
A=p+I where P(principal) = 18,000
I(interest) = 4,873.35
Answer:
A = 22,775
Step-by-step explanation:
A = amount after 6 years
P = 18,000
r = 4% (in decimal = 0.04)
t = 6 years
A = 18,000 ( 1 + 0.04)^6
A = 22,775
3(a – 7) = -9 + 3a.
Answer:
0=12
No Solution
Step-by-step explanation:
Hope this helps (:
Look at the attachment
Use factoring to solve the polynomial equation. Check by substitution or by using a graphing utility and identifying
x-intercepts.
8x4-32x² = 0
Rewrite the equation in factored form.
(Blank)=0
Then what is the solution pair?
The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2
Using factoring to solve the polynomial equationTo solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:
8x²(x² - 4) = 0
Now we can use the difference of squares identity to factor the quadratic expression:
8x²(x + 2)(x - 2) = 0
Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.
Therefore, we can set each factor equal to zero and solve for x:
8x² = 0 or x + 2 = 0 or x - 2 = 0
Solving for x, we get:
x = 0 or x = -2 or x = 2
So the solution set for the equation is {0, -2, 2}.
To check the solution, we can substitute each value into the original equation and verify that it equals zero.
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A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability that at least 5 people attend the meeting given that at least 2 attend
Answer:
The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:
P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...
What is the probability that at least 5 people attend the meeting given that at least 2 attend?
The explanation of the answer is now provided as follows:
Given:
P(X = x) = 1 / 2^(x+1), for x = 0,1,2,... (1)
Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.
Substituting x = 2 into equation (1), we have:
P(X = 2) = 1 / 2^(2 + 1)
P(X = 2) = 1 / 2^3
P(X = 2) = 1 / 8
P(X = 2) = 0.1250, or 12.50%
Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.
kirsty and Flo are raising money for charity; Kirsty raises /ive times as much as Fio, Tiesa
amount they raise is £172.50. How much do they each raise?
THANK U
Answer:
Kirsty raised £143.75 and Flo raised £28.75
Step-by-step explanation:
x = money raised by Flo
5*x = money raised by Kirsty
6*x = money raised together
6x = £172.50
Now divide each side by 6:
x = £172.50:6
x = £28.75 (money raised by Flo)
£172.50-£ 28.75 = £143.75 (money raised by Kirsty)
Kirsty raised £143.75 and Flo raised £28.75
Find the equation of a line that contains the points (-8,0) and (-8, –6).
Provide your answer below:
Explanation:
Both points have the same identical x coordinate, so this line is completely vertical. Vertical lines are always of the form x = k, where k is some constant.
The equation must be x = -8 since we want both x coordinates to be -8.
Side note: The slope of this line is undefined, which applies to any vertical line.
Suppose recent research shows that strawberry consumption can help prevent cancer. Show the effect this research has on the market for strawberries.
Answer:
The demand for strawberry will increase and this will increase the prices of strawberries. The production of strawberry will also rise due to its demand.
What is the slope of the line?
The capacity of a water tank is 1000 gallons. Don uses a bucket that can hold 2 gallons to fill the tank. It takes him 3 minutes to fill the bucket with water and pour it into the tank.
Don would take 1500 minutes to fill the 1000-gallon water tank using the 2-gallon bucket.
If the capacity of the water tank is 1000 gallons and Don uses a bucket that can hold 2 gallons to fill the tank, we can calculate the number of buckets Don needs to fill the tank.
Let's assume the number of buckets Don needs to fill the tank is represented by 'n'.
Capacity of the tank = 1000 gallons
Capacity of each bucket = 2 gallons
Number of buckets needed to fill the tank, n = Capacity of the tank / Capacity of each bucket
n = 1000 gallons / 2 gallons
n = 500
So, Don needs 500 buckets, each holding 2 gallons, to fill the 1000-gallon water tank.
Given that it takes Don 3 minutes to fill the bucket with water and pour it into the tank, the total time taken by Don to fill the tank would be the product of the number of buckets (500) and the time taken to fill each bucket (3 minutes).
Total time taken to fill the tank = Number of buckets × Time taken to fill each bucket
Total time taken = 500 × 3 minutes
Total time taken = 1500 minutes
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A customer wants rhombus-shaped tiles for his countertops. The height is 3 inches and the length of each side is 6.5 inches. What is the area of each tile?
Answer:
The length of each side of the tiles is 7.2 in
Step-by-step explanation:
Given:
Height of the tile, h = 3 in
Area of each tile, A = 21.6 in²
Length of each side, a = ?
We know:
A rhombus is a type of quadrilateral whose opposite sides are parallel and equal.Also, the opposite angles of a rhombus are equal and the diagonal intersect each other perpendicularly.
To find the area of a rhombus when the measures of its height and side length are given, use the formula
A = Base X height
21.6 in² = a X 3 in
a = 7.2 in
Therefore, the length of each side of the tiles is 7.2 in
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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PLZ HURRY 30 PTS!!!!! PLZ
Lines AE and GH are parallel in the image below. The image will be used to prove that the sum of the measures of the
interior angles of
Which statement would be included in a proof of why m
Angles F&H are congruent
Angles A&G are congruent
Angles A&H are congruent
Angles E&C are congruent
Knowing how to recognize congruent lines, we have Angles A&H are congruent.
What does it mean to say that two line segments are congruent?Two line segments are collinear if they lie on a line. Two line segments are congruent when they have equal measures.
What is a parallel line?Parallel lines are lines in a plane that are always the same distance from each other. Parallel lines never intersect, while perpendicular lines are those that intersect at a right angle (90 degrees).
In this way, we can identify that the only lines that represent a congruent line are lines A and H.
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please help me solve this problem
The features related to vectors are listed below:
Case A: u' = (- 4√41 / 41, - 5√41/ 41)
Case B: Tip coordinantes of vector v: (x, y) = (10, 10)
Case C: r = 11.402
How to determine vectors
In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.
Case A - Unit vector
Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:
u' = u / ||u||
Where:
u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.Please notice that the magnitude of the vector is determined by Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
Where:
r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.Thus, the unit vector of u is:
u' = (- 4, - 5) / √[(- 4)² + (- 5)²]
u' = (- 4, - 5) / √41
u' = (- 4 / √41, - 5 / √41)
u' = (- 4√41 / 41, - 5√41/ 41)
Case B - Definition of a vector
This can be found easily by vector subtraction:
v = Tip coordinates - Base coordinates
(3, 4) = (x, y) - (7, 6)
(x, y) = (3, 4) + (7, 6)
(x, y) = (10, 10)
Case C - Magnitude of a vector
The magnitude is found by means of Pyhtagorean theorem:
r = √[(- 4 - 3)² + (- 5 - 4)²]
r = √[(- 7)² + (- 9)²]
r = 11.402
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2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period of 10 years
Answer:
A = 642.01
Step-by-step explanation:
Given:
P = 500
r = 2.5% or 0.025
t = 10
Work:
\(A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01\)
Calc II Question
Sketch the region enclosed by the given curves and find its area.
Y = lxl , y = x^2 - 2
Answer:
\(\displaystyle A=\frac{20}{3}\)
Step-by-step explanation:
\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)
Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.
A geyser erupts every fourth day. Another geyser erupts every sixth day. Today both geysers erupted. In how many days will both geysers erupt on the same day again?
pls help meh
pwease
please
Answer:
48
Step-by-step explanation:
Fourth day, sixth day, both geysers erupted
4 × 6 × 2 = 48
Katrina practices violin 4 times per week for 2/3 hour each time.Jeremy practices guitar for 3 times per week for 45 minutes each time.who practices more each week?how much more?
Katrina practices violin per week more than Jeremy by 25 minutes.
How is the practice time determined?The practice time can be determined by converting the fractional hours to minutes for each practice so that like is compared to like.
Converting 2/3 hours gives 40 minutes.
Ordinarily, Jeremy spends more time each time than Katrina. However, Katrina adds an additional practice time, which heightens her total practice time each week.
Data and Calculations:The number of times that Katrina practices per week = 4 times
The time she practices each time = 2/3 hours or 40 minutes (2/3 x 60)
The total time she practices each week = 160 minutes (40 x 4)
The number of times that Jeremy practices per week = 3 times
The time he practices each time = 45 minutes or 3/4 hours
The total time he practices each week = 135 minutes (45 x 3)
The difference in practice time per week = 25 minutes (160 - 135)
Katrina Jeremy
Number of practices times 4 3
Minutes practiced (2/3 hours) 40 min 45 minutes
Total practice time 160 min 135 min
Thus, we can conclude that Katrina practices violin per week more than Jeremy by 25 minutes.
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I need help with all circled questions
Applying the relevant tangents theorem, the answer to the circled questions are: 5. m(RU) = 190°; 7. m<T = 50°; 11. x = 9
How to Apply the Tangents Theorem to Find the Indicated Measures?5. Based on the secant-tangent theorem, we have:
m<S = 1/2(m(RU) - m(RT))
Given the following:
m<S = 45°
m(RT) = 100°
m(RU) = ?
Plug in the values:
45 = 1/2(m(RU) - 100)
90 = m(RU) - 100
90 + 100 = m(RU)
m(RU) = 190°
7. Using the same theorem, we have:
m<T = 1/2(160 - 60)
m<T = 50°
11. Based on the angle of tangents theorem, we have:
7x + 12 = 1/2((360 - 105) - 105)
2(7x + 12) = 150
14x + 24 = 150
14x = 150 - 24
14x = 126
x = 9
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Explain-Carmen is making homemade root beer for an upcoming charity fundraiser.
If Carmen uses 12 pounds of dry ice she will need to use 8 ounces of root beer
extract.
1. Write a ratio/proportional constant for number of pounds to number of ounces
of root beer extract.
Answer:
1.5lb/ounces
Step-by-step explanation:
Given:
Mass of dry ice Carmen uses = 12lb
Mass of root beet = 8ounces
Unknown:
Ratio/Proportional constant for number of pounds to number of ounces of root beer extract = ?
Solution:
To solve this problem,
Ratio = \(\frac{number of pounds of dry ice}{Ounce of root beer}\)
Ratio = \(\frac{12lb}{8ounces}\) = 1.5lb/ounces