May I please get help with this problem? for I have got it wrong multiple times and still cannot get the correct answer
Answers
Answer:
x = 61.9°
Step-by-step explanation:
Let's take a closer look at our triangle:
Since we're on a right triangle, we can say that:
[tex]\sin(x)=\frac{15}{17}[/tex]Solving for x,
[tex]\begin{gathered} \sin(x)=\frac{15}{17}\rightarrow x=\sin^{-1}(\frac{15}{17}) \\ \\ \Rightarrow x=61.9 \end{gathered}[/tex]
Related Questions
i need help with question 36 (make sure to read the the information above the graph)
Answers
Given:
[tex]\begin{gathered} x+2y>6 \\ -2x+3y\leq6 \end{gathered}[/tex]Required:
To solve the given inequality by graphing.
Explanation:
The graph of the above inequality is,
Now, the solution is shaded in the graph.
Final Answer:
The solution by using the graph is,
A and B are mutually exclusive events P(A) =0.60 and P(B)=0.30 what is P (A or B)
Answers
We know that for any number of mutually exclusive events, we have the formula:
[tex]P(A_1\cup A_2\cup A_3\cup\ldots)=P(A_1)+P(A_2)+P(A_3)+\cdots[/tex]In this case, we have that P(A)=0.60 and P(B)=0.30, then:
[tex]\begin{gathered} P(A\cup B)=P(A)+P(B)=0.60+0.30=0.90 \\ P(A\cup B)=0.90 \end{gathered}[/tex]Therefore, P(A or B) =0.90
two hundred million thirty five
Answers
The given number is two hundred million thirty five.
As you can observe, this number has hundred millions, tens, and units. Specifically, it has 2 hundred million, 3 tens and 5 units. We write each part as a sum, as follows
[tex]200,000,000+30+5[/tex]Then we add, so the number is
[tex]200,000,035[/tex]*1. If the variable x represents the total number of COVID-19 deaths in the United States since March 1,I 2020, what do the following expressions represent?a. X - 100,000
Answers
The expression represents the number of COVID deaths since March 1 2020 minus 100,000 deaths.
A telemarketers computer selects phone numbers at random. The telemarketer has recorded the number of respondents in each age bracket for one evening in the following table. What is the probability that the next respondent will be between 18 and 25? Enter a fraction or round your answer to four decimal places, if necessary.Under-18 =1818-25=2526-35=4636-45=56Over 45=54
Answers
The probability P of an event e can be found using the formula:
[tex]P(an\text{ event e occurring\rparen= }\frac{Number\text{ of occurrence of an event}}{Total\text{ number of occurrence}}[/tex]Required: The probability that the next respondent will be between 18 and 25
Number of respondents between the ages of 18 and 25 = 25
Total number of respondents :
[tex]\begin{gathered} =\text{ 18 + 25 + 46 + 56 + 54} \\ =\text{ 199} \end{gathered}[/tex]Hence, the probability of a selecting a respondents in the age range 18 to 25 is:
[tex]\begin{gathered} P\text{ = }\frac{25}{199} \\ =\text{ 0.125628} \\ \approx\text{ 0.1256} \end{gathered}[/tex]Answer: 0.1256
Stefan can pick forty bushels of apples in12 hours. One day his friend Gabriellahelped him and it only took 6.67 hours.Find how long it would take Gabriella todo it alone.
Answers
Stefan picks up 40 bushels of apples in 12 hours.
With the helo of gabriela they do so th 6.67 hours. We can represent this in the following table:
Bulshels of apples Hours
40 6.67
We need to multiply these number by 2, so that we can know how much time it would take for Gabriella to pick 40 alone.
Bulshels of apples Hours
40 6.67
80 13.34
Now, since picking 80 together takes 13.34 hours, and we know that tefan picks up 40 in 12 hours, the other 40 where picked up by Gabriella in:
[tex]13.34-12=1.34[/tex]Answer: 1.34 Hours
One type of dog treat, Barker, contains 3 oz and sells for $1.95. DogYum contains 3.25 and sells for $2.10.Which is less expensive, per ounce?A. DogYum is less expensive, per ounceB. Barker is less expensive, per ounce
Answers
Solution
- We are told that dog treats, Barker and DogYum cost $1.95 for 3 oz and $2.10 for 3.25 oz respectively and we are required to find out which is more expensive per ounce.
- In order to find the more expensive dog treat, we need to find the cost per ounce for each item. The cost per ounce is given by the formula below:
[tex]\frac{\text{Cost of dog treat (In Dollars)}}{\text{Weight of dog treat (In Oz)}}[/tex]- The dog treat with the larger cost per oz is the more expensive item.
- Thus, let us calculate the cost per oz for both items.
DogYum:
[tex]\begin{gathered} \frac{\text{Cost of DogYum}}{\text{Weight of DogYum}}=\frac{2.10}{3.25}=0.646 \\ \\ \text{Thus, the cost per oz of the DogYum treat is \$0.646/oz} \end{gathered}[/tex]Barker:
[tex]\begin{gathered} \frac{\text{ Cost of Barker}}{\text{Weight of Barker}}=\frac{1.95}{3}=0.65 \\ \\ \text{Thus, the cost per oz of the Barker treat is \$0.65/oz} \end{gathered}[/tex]- We can observe that Barker is marginally more expensive than DogYum. We can confirm this by simply subtracting the cost per oz for both treats.
[tex]\text{Barker - DogYum}=0.65-0.646=0.004[/tex]Final Answer
The answer is:
DogYum is less expensive, per ounce
coupon A:$18 rebate on a $95 bicycle couponB:15% off of a $95 bicycle
Answers
Coupon A gives the lower price,is $3.75 less than the price with coupon b
Explanation
Step 1
get the final price
a) Coupon A
$ 18 rebate on a $95 bycicle
so, the final price is
[tex]\begin{gathered} \text{final price=original price-discoutn} \\ \text{ final price=\$95 -\$18} \\ \text{ final price(a)=\$77} \end{gathered}[/tex]b) 15% off of a $95 bucycle
fint, the value for 15% of $95
[tex]15\text{ percent=}\frac{\text{15}}{100}=0.15[/tex]so, to know the value for 15% of $95,do:
[tex]\text{discount}=0.15\cdot95=14.25[/tex]the discount for coupon b is $14.25,
hence the final price is
[tex]\begin{gathered} \text{ Final price=\$95 -\$14.25} \\ \text{ Final price=80.75} \end{gathered}[/tex]Hence,
[tex]\text{ Final price(B)=\$ 80.75}[/tex]Step 2
compare the prices(difference)
[tex]\begin{gathered} \text{Price(a)}=77 \\ \text{Price(b)}=80.75 \\ \text{pric e(b)-price(a)=80.75-77=3.75} \end{gathered}[/tex]I hope this helps you
Situation:Holly wants to save money for anemergency. Holly invests $1,000 in anaccount that pays an interest rate of6.25%
Answers
Given data:
Amount of money invested, P = $1000
Interest rate, r = 0.0625
Total money in the account, A = 5500
Now, to find the years use simple interest rate formula that is
[tex]A=P(1+rt)[/tex]Therefore, t will become
[tex]t\text{ = (A/P}-1\text{)/r}[/tex]Putting the values we get,
[tex]t=(\frac{5500}{1000}-1)\text{ / 0.0625}[/tex][tex]\begin{gathered} t=(5.5-1)\text{ / 0.0625} \\ t=\frac{4.5}{0.0625} \\ t=72 \end{gathered}[/tex]Thus, it will take 72 years for the account to reach 5500.
mean=100 sd=20 determine the probability that random student scores below 70 on the pax test. above 112 on the pax test, and random student scores between 85 and 115 on the pax test
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For this problem, we are given the mean and standard deviation of a certain test. We need to determine a probability of a random sample to be in a few values.
The first value we need to determine is the probability of the random sample being below 70. The first step we need to take is to determine the z-score of this value, which can be calculated with the following expression:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]For the value of 70, we have:
[tex]Z=\frac{70-100}{20}=\frac{-30}{20}=-1.5[/tex]Now we need to find this value on the z-table, which is:
[tex]P(Z<-1.5)=0.0668[/tex]Therefore we can determine that the probability of a value to be below 70 is 6.68%.
Now we need to determine the probability of a value above 112. We need to determine the z-score once again:
[tex]Z=\frac{112-100}{20}=\frac{12}{20}=0.6[/tex]The z-table only tells us values below the z-score, so we need to subtract the result from 1, which is shown below:
[tex]P(Z>0.6)=1-P(Z<0.6)=1-0.7275=0.2725[/tex]The probability of the value being greater than 112 is 27.25%.
Now we need to find the probability of the score to be between 85 and 115. We need to find both Z-scores:
[tex]\begin{gathered} Z(85)=\frac{85-100}{20}=\frac{-15}{20}=-0.75\\ \\ Z(115)=\frac{115-100}{20}=\frac{15}{20}=0.75 \\ \end{gathered}[/tex]So we need to find the two values on the Z-table and subtract them. We have:
[tex]P(-0.75The probability of the random value being between 85 and 115 is 54.68%.WILL GIVE BRAINLYEST 100 POINTS !!!! A student is painting a brick for his teacher to use as a doorstop in the classroom. He is only painting the front of the brick. The vertices of the face are (−6, 2), (−6, −7), (6, 2), and (6, −7). What is the area, in square inches, of the painted face of the brick?
144 in2
108 in2
72 in2
42 in2
Answers
The area, in square inches, of the painted face of the brick is; 144 in²
How to find the area of a square with coordinates?The area of a square is given by;
A = L²
where;
L is the length of the side of the square
The sides of a square all have the same length, and as such we just need to find the length of one side.
The length of the side of the square here is the distance between two vertices, which can be calculated as
L = √[(x₂ - x₁)² + (y₂ - y₁)²]
However, to avoid long process, since it is a square, we can use subtraction of coordinates to get the side length which is gotten by using the first 3 coordinates;
Horizontal length = (6 + 6) = 12
Thus;
Area = L² = 12² = 144 in²
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What is the product of the complex numbers below?(3 - 2i)(1 + 7i)A.-11 + 19iB.17 + 19iC.-11 - 23iD.17 - 23i
Answers
Solution:
Given:
[tex](3-2i)(1+7i)[/tex]To find the product, we multiply the terms in the second parentheses by each term in the first parentheses.
Thus, we have
[tex]\begin{gathered} 3(1+7i)-2i(1+7i) \\ open\text{ parentheses,} \\ 3+21i-2i-14i^2 \\ but\text{ i}^2=-1 \\ thus,\text{ we have} \\ 3+21i-2i-14(-1) \\ collect\text{ like terms,} \\ (3+14)+i(21-2) \\ \Rightarrow17+19i \end{gathered}[/tex]Hence, the product of the complex numbers is
[tex]17+19i[/tex]The correct option is B
The vertex of this parabola is at (-2,5). Which of the following could be its equation? (-2,5) -5 O A. y = 3(x-2)2-5 O B. y = 3(x-2)2 + 5 O C. y= 3(x+ 2)2-5 BE E EIE O D. y=3(x + 2)2 + 5 anter
Answers
The base equation of a parabola is F(X) = X^2 + C
if we make F(X+2) it means the chart will move 2 units to the left
on the other hand, if the make F(X) + 5, it means the chart will displace 5 units upwards
As a result, from the given chart, our equation would be: y = 3(x+2)^2 + 5
drag two number lines to the box where the shade parts best compare 1/6 and 1/4
Answers
Given the fractions 1/6 and 1/4
We need to compare between them
The two number lines will be:
By comapring between them : 1/6 < 1
Find the composition of transformations thatmap ABCD to EHGF.Reflect over the [? ]-axis, then translate(x+[ ], y+[ ]).Note: Enter x ory for axis.BсGH2DE124-3-2-10Enter
Answers
Let's complete the transformation from ABCD to EHGF.
Let's first determine the coordinates of the two figures.
Figure ABCD:
A : -5, 2
B : -3, 4
C : -2, 4
D : -1, 2
Figure EHGF:
E : 4, 1
H : 2, 3
G : 1, 3
F : 0, 1
Reflecting ABCD over the y - axis, we get:
P (x, y) = P' (-x, y)
For ABCD:
A : -5, 2 = A' : 5, 2
B : -3, 4 = B' : 3, 4
C: -2, 4 = C' : 2, 4
D: -1, 2 = D' : 1, 2
Let's now complete the translation,
(x + S), (y + T)
Where,
S = translation at x-axis
T = translation at y-axis
We get,
A' : 5, 2 = E : 4, 1 → S, T = 4 - 5, 1 - 2 = -1, -1
B' : 3, 4 = H : 2, 3 → S, T = 3 - 4, 3 - 4 = -1, -1
C' : 2, 4 = G : 1, 3 → S, T = 1 - 2, 3 - 4 = -1, -1
D' : 1, 2 = F: 0, 1 → S, T = 0 - 1, 1 - 2 = -1, -1
Therefore, we can say that the translation is (x + _, y + _) = (x + (-1), y + (-1)) = x - 1, y - 1
The hotel room tax in Junction City is calculated using the function T(x) =0.06x + 4.5, where x = the cost in dollars of the room and T(x) = the tax in dollars. What is the tax on a room that costs $120?
Answers
Since the tax on the room is given by the function:
T(x)=0.06x+45
And x(cost in dollars of the room) is given= $120, you just have to subtitue x=120 on the function
T(120)=0.06(120)+4.5
T(120)=7.2+4.5
T(120)=11.7
So, the tax in dollars would be $11.7
Find the starting value and the base for the exponential function f(x)=kb^x that passes through the two points:(0,3) and (2,12).The starting value k is: AnswerThe base b is: Answer
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The exponential equation given is,
[tex]f(x)=kb^x[/tex]Given the points
[tex](0,3)\text{ and (2,12)}[/tex]Therefore, the values for k and b will be resolved graphically.
Let us now plot the graph using a graphical calculator
From the graph,
[tex]\begin{gathered} y_1=f(x) \\ a=k=3 \\ b=2 \end{gathered}[/tex]Final answers
[tex]\begin{gathered} k=3 \\ b=2 \end{gathered}[/tex]connie is packing for a trip. she has 16 pairs of shoes. if she has room to pack 7 pairs, how many ways can she choose which shoes to take?
Answers
Combinatorics
If Connie had only 7 pairs of shoes and she has room for 7 pairs of shoes, then she has only one way to take her shoes.
If she had 8 pairs of shoes, then she can select any group of shoes that leaves one pair out. This makes 8 possible ways to choose.
When the number of pairs of shoes goes up, then the counting gets more complex. That is when combinatorics is a useful tool.
If we have a total of n elements to select m, where the order of selection is not important, then the total number of selections is given by:
[tex]C_{n,m}=\frac{n!}{(n-m)!\cdot m!}[/tex]Where the sign (!) is the factorial of a number.
Connie has n=16 pairs of shoes and she will take m=7 from them, thus the number of possible ways or combinations is:
[tex]\begin{gathered} C_{16,7}=\frac{16!}{(16-7)!\cdot7!} \\ C_{16,7}=\frac{16!}{(9)!\cdot7!} \end{gathered}[/tex]Expanding the factorial down to match the greatest factorial in the denominator:
[tex]C_{16,7}=\frac{16\cdot15\cdot14\cdot13\cdot12\cdot11\cdot10\cdot9!}{(9)!\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]Simplifying and calculating:
[tex]C_{16,7}=\frac{57,657,600}{5,040}=11,440[/tex]Connie can choose in 11,440 ways the shoes to choose
which of the following is not a polynomial identityA) x²+y²=x²+2xy+y²B) x³+y³=(x+y) (x²-xy+y²)C) (x+y)² = x²+2xy+y²D) x²-y²= (x+y) (x-y)
Answers
The first option:
A)
x² + y² = x² + 2xy + y²
is not a polynomial identity because the right side of the equation corresponds to a binomial squared, which is given by:
(x + y)² = x² + 2xy + y²
and what you have left side of the given expression is x² + y² and not (x + y)² which is totally different.
Hence, x² + y² = x² + 2xy + y² is not a polynomial identity
Hello, May I please get some assistance with this homework question? I posted an image below. Question A has already been answered, but do need help with the other questions. Q2 (part b)
Answers
ANSWER
• (g o f)(x) = ,16x² + 24x + 9
,• B., the domain of g o f is all real numbers
EXPLANATION
The composition is,
[tex](g\circ f)(x)=g(f(x))[/tex]This means that, to find the composition, we have to replace x with f(x) in the function g(x),
[tex]g(f(x))=(f(x))^2[/tex]Now, replace f(x) with its expression,
[tex]g(f(x))=(4x+3)^2[/tex]We can expand this binomial squared to write it in standard form. The composition is,
[tex](g\circ f)(x)=16x^2+24x+9[/tex]As we can see, this is a polynomial function. Therefore, the domain is all real numbers.
The results of a survey show that the percent of adults in a certain town who want to add bike lanes to amajor roadway is in the interval (0.57, 0.65) (9 points)(a) What is the point estimate for the percent who want to add the bike lanes?(b) What is the poll's margin of error?(c) If the town's adult population is 31,526, what is the best estimate for the number of people whowould support the bike lanes?
Answers
If we know the confidence interval for the proportion, the point estimate will be at the center of this interval.
Then, we can calculate the point estimate p as the average between the boundaries of the interval:
[tex]p=\frac{0.57+0.65}{2}=\frac{1.22}{2}=0.61[/tex]The margin of error can be calculated, knowing the interval, as half the difference between the upper boundary and the lower boundary of the interval:
[tex]\text{MOE}=\frac{UB-LB}{2}=\frac{0.65-0.57}{2}=\frac{0.08}{2}=0.04[/tex]The margin of error is 0.04. This margin of error is also the absolute difference between any boundary of the interval and the point estimate.
If the town's population is 31,526, the best estimate for the number of people who
would support the bike lanes is to use the point estimate as the proportion:
[tex]X=p\cdot N=0.61\cdot31526\approx19231[/tex]Answer:
a) The point estimate is p=0.61
b) The margin of error is MOE = 0.04
c) The best estimate is X=19231
3x - 4y = 10Add a Com6x + y = 38andMediac-9% +12y = -30Save9x - 3y = 48These systems are said to be equivalent. Both of the equations in the secondsystem came from the first system somehow,Two questions: How was the first equation is the second system formed fromthe first system? And how was the second equation in the second systemformed from the first system?
Answers
First solution
[tex]\begin{gathered} \text{The first equation in the second system (Equation 2.1),} \\ \text{was formed by multiplying (Equation 1.1) by -3} \end{gathered}[/tex][tex]\begin{gathered} \text{proof:} \\ -3\text{ (3x - 4y= 10) = -9x + 12y = -30} \end{gathered}[/tex]Second solution
The second equation in the second system (Equation 2.2) was formed by adding both equations in the first system.
That is;
(Equation 2.2) = (Equation 1.1) + (Equation 1.2)
[tex]\begin{gathered} \text{proof:} \\ 3x\text{ -4y = 10 } \\ +\text{ 6x + y = 38} \\ (3x+6x)\text{ + (-4y+y) = 10+38} \\ 9x\text{ -3y = 48} \end{gathered}[/tex]Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.She needs to find the approximate surface area of the attic, including the walls, floor, andceiling. The attic is in the shape of a triangular prism. Linda draws the net and writesthe expression below to represent the surface area of the attic. Are Linda's net andexpression correct?15 ft45 ft25 ft40 ft25 ft25 ft25 ft- 15 ft45 ft40 ft15 ftExpression for Surface Area of Attic:45 (40 + 25 + 25) + ] (40 x 15)
Answers
We can formulate an expression for the surface area of the attic like this:
The area of a triangle is given by the following formula:
[tex]A=\frac{b\times h}{2}[/tex]Where b is the base and h is the height of the triangle.
The area of a rectangle is given by the following formula:
[tex]A=w\times l[/tex]Where w is the width and l is the length of the rectangle.
In this case, the attic has three rectangular faces, all of them have a width of 45 ft. two of them have a length of 25 ft and one has a width of 40 ft, then we can calculate the areas of these faces like this:
[tex]\begin{gathered} A1=45\times40 \\ A2=45\times25 \\ A3=45\times25 \end{gathered}[/tex]By summing up these areas, we get the area of the rectangular faces:
[tex]A=45\times40+45\times25+45\times25[/tex]From this expression, we can factor 45 to get:
[tex]A=45\times(40+25+25)[/tex]For the two triangular faces, their height equals 15 ft and the length of the bases equals 40 ft, then their areas are:
[tex]\begin{gathered} A1=\frac{15\times40}{2} \\ A2=\frac{15\times40}{2} \end{gathered}[/tex]By summing them up, we get the area of the triangular faces:
[tex]A=\frac{15\times40}{2}+\frac{15\times40}{2}=15\times40[/tex]By summing the area of the rectangular faces and the area of the triangular faces, we get the expression to calculate the total surface area of the attic, like this:
[tex]A=45(40+25+25)+40\times15=4650[/tex]Then, the net Linda draw is correct. The first term of Linda's expression 45(40+25+25) is correct. The second term of Linda's equation missing a factor of 2. The surface area of Linda's attic is 4650 square feet
I need help with this question my answer was 2 but I for sure
Answers
Given
Distance = 30 km
Time = 1 1/2 hours = 3/2 hours
Find
rate in km per hour
Explanation
we need to find the rate in km per hour.
as we now the rate is also called a speed
so , speed = distance/time
[tex]\begin{gathered} rate=\frac{distance}{time} \\ \\ rate=\frac{30}{\frac{3}{2}} \\ \\ rate=\frac{30\times2}{3} \\ \\ rate=\frac{20km}{h} \end{gathered}[/tex]Final Answer
Therefore, the rate of ship is 20km/hr
so , the correct option is 1.
I
3. (5 points) Herman and Rosie need to wash the walls on the side of the school. Herman
has a power washer, which could complete the job in 10 hours. Rosie has a manual
scrubber, which could complete the job in 15 hours. in
they work together, how many hours
will it take them to clean the wall?
Answers
Answer:
It would take them 6 hours. Six hours is 3/5 of Herman’s required time. 6 hours is 2/3 of Rosie’s, so 3/5 +2/5= the project being complete.
3.2 Hangalakani works as a builder for 6,5 hours per day excluding 30 minutes tea break 1 hour lunch. He starts working at 07:30 am 2.1 Determine the time of the day Hangalakani leaves work for home 312.2 Hangalakani calculated that 245,37 bags of cement are required for the job His manager states that they need to purchase 246 bags Explain why the manager's statement is correct.
Answers
Hangalakani leaves his work for home at 3.30 PM .
Hangalakani starts his work at 7.30 am.
He works for 6.5 hours.
He then takes a lunch break for 1 hour .
He then takes tea break for about 30 minutes = 0.5 hour
Total time spent at work = 6.5 + 1 + 0. 5 = 8 hours.
So if he starts work at 7.30 then he will end at
7.30 am + 8 hours = 3.30 pm in the afternoon .
Now the manager says that they need 246 bags while Hangalakani calculated they need 245.37 bags of cement.
The manager is correct because bags of cement are not sold as a part or decimal . The number of bags that can be bought must be a whole number.
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the answer to this equation no steps needed for me just needed a,b,c or d
Answers
Solution
- The solution steps are given below:
[tex]\begin{gathered} y\propto\frac{1}{x^2} \\ \\ \therefore y=\frac{k}{x^2} \\ where,\text{ }k\text{ is the constant of proportionality} \\ \\ when\text{ }x=1,y=\frac{7}{4} \\ \\ \frac{7}{4}=\frac{k}{1^2} \\ \\ \therefore k=\frac{7}{4} \\ \\ \text{ Thus, we can say} \\ y=\frac{7}{4x^2} \\ \\ \text{ Thus, when }x=3,\text{ we have:} \\ y=\frac{7}{4(3^2)} \\ \\ y=\frac{7}{4\times9} \\ \\ \therefore y=\frac{7}{36} \end{gathered}[/tex]Final Answer
The answer is
[tex]y=\frac{7}{4x^2};y(3)=\frac{7}{36}\text{ \lparen OPTION C\rparen}[/tex]23 pointsThe length of a rectangular box is 1 inch longer than twice the width (x).The height is 5 inches.which is the volume (y) function
Answers
y = 5x ( 2x + 1)
Explanations:Let the width of the rectangular box be x
Let the length be L
Let the height be H
Let the volume be y
The length of the rectangular box is 1 inch longer than twice the width (x)
L = 2x + 1
The Height is 5 inch
H = 5
The volume of a rectangular box is:
Volume = Length x Width x Height
y = LHx
y = (2x + 1) (5) (x)
y = 5x (2x + 1)
Can you please help me with this , choices (Add,divided,exponent, multiply, square roots, subtract and N/A)
Answers
a) in term
b)subtraction
c) N/A
d) 4
Explanation
a term is a single mathematical expression , it can be a number, a variable or a combination, the terms are separated by the symbols + or -
for example:
in
[tex]ax^2+bx+c[/tex]there are 3 expression , so
Step 1
check the expression
[tex]\frac{6(5-3)^3}{12}[/tex]it has only a term ( a fractions)
so
a)the number of terms is : 1
Step 2
b)first thing to do to term 1
PEMDAS means the order of operations for mathematical expressions involving more than one operation. It stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.so
we need to P ( break the parenthesis)
to do that,
do the SUBTRACTION
[tex]\begin{gathered} \frac{6(5-3)^3}{12} \\ \frac{6(5-3)^3}{12}=\frac{6(2)^3}{12} \\ \frac{6\cdot2^3}{12} \end{gathered}[/tex]
Step 3
c) as there is not term 2
N/A
Step 4
simplify the expression: folloing the PEMDAS order
[tex]\begin{gathered} \frac{6\cdot2^3}{12}\text{ } \\ \text{Exponents} \\ \frac{6\cdot2^3}{12}\text{ =}\frac{6\cdot8}{12}\text{ } \\ \text{ Mulitiplication} \\ \frac{6\cdot8}{12}\text{ =}\frac{48}{12} \\ \text{Division} \\ \frac{48}{12}=4 \\ 4 \end{gathered}[/tex]so
d) 4
i hope this helps you
find the constamt of proportionality (r) in the equation y=rx
Answers
To find the constant of proportionality of the equation y = rx, from the values of the given table, just calculate the quotient r = y/x, where x and y can be any pair of values of the table.
For x = 3 and y = 30:
r = 30/3
r = 10
Hence, the constant of proportionality is
r = 10