[tex] \sf{\red{ANSWER \: \: :}}[/tex]
x = 18 1/3
[tex] \sf{\purple{EXPLANATION \: \: :}}[/tex]
x - 20 + 2x = 35
- 20 + 3x = 35
3x = 35 + 20
3x = 55
x = 55/3
x = 18 1/3
Which of the following has a slope of –2 and a y-intercept of 4?
y = 2x – 4
y = –2x – 4
y = –2x + 4
y = 2x + 4
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Which equation has a slope of -2 and a y-intercept of 4?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
All of these equations are in [tex]\bf{y=Mx+b}[/tex] form.
The y-int. is b. The slope is M.
[tex]\bf{y\!=\!\!-2x+\!4}[/tex] | put in the values
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=\!\!y=-2x+4}[/tex]
[tex]\LARGE\boxed{\bf{aesthetics\not1\theta l}}[/tex]
Seriation can be described as a series or a growing pattern, i.e. arranged by an attribute such as height, length, or weight. Which of the following activities would be the best way to help children understand seriation?
a. Read the story of the Three Billy Goats Gruff and discuss the little, medium and great big billy goat gruff brothers.
b. Have children put the pictures in order according to their size on a worksheet.
C. This book would not be used because it isn't a math concept book.
The best way to help them understand Seriation is; A: Read the story of the Three Billy Goats Gruff and discuss the little, medium and great big billy goat gruff brothers.
How to Identify growth patterns in Seriation?We are told that;
Seriation is a series or a growing pattern. This means arranged by an attribute such as height, length, or weight.
Now, we want to find the option that is the best way to help children understand Seriation. Looking at the options, the best option would be option A. This is because by reading the story of the three Billy Goats Gruff, we can be able to arrange them by little, medium and great big billy goat gruff brothers.
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The length of a rectangle is five times the width. If the area of the rectangle is 45
square inches, then find the length and width.
Step-by-step explanation:
sol;
l=5w
area=l*w
or,45=5w*w
or,45=5w2
or,45\5=w2
0r[tex]\sqrt{9}[/tex]=w
or,3=w
again,
l=5w
l=5*3
l=15
Therefore, length is 15 inch and width is 3 inch.
Complete the sentence.
The amount of time it takes to eat an apple is most likely to be a function of
the
OA. size of the apple
B. orchard where the apple was harvested
O C. store where the apple was purchased
OD. color of the apple
A trader sold an article for N150 and
made a profit of 20%. What was the
cost price of the article?
Answer:
125
Step-by-step explanation:
N150=120%
? =100
150×100/120
=125
The cost price of the good is $125.
What is cost price?Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a given service.
Given that a good has been sold for $150 which made a profit of 20% we need to find the cost price of the good,
Let the cost price be x,
So,
x × 120% = 150
x = 150 × 100 / 120
x = 125
Hence the cost price of the good is $125.
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t+b = 41
t = 2b+2
Solve for t and b
Answer: b=13, t=29
Step-by-step explanation:
Substituting the first equation into the second,
[tex]2b+2+b=41\\\\3b+2=41\\\\3b=39\\\\b=13\\\\\implies t=2(13)+2=29[/tex]
what is the equation of the line that is paralle to y=3x-8 and passes thur the point (4,-5)
⊰_________________________________________________________⊱
Answer:
The equation is-: y=3xStep-by-step explanation:
[tex]\large\displaystyle\text{$\begin{gathered} \sf{Substitute \ the \ values \ into \ the \ formula \ y-y_1=m(x-x_1)} \\ \sf {parallel \ lines \ have \ same \ slopes, \ thus} \\ \sf{slope \ of \ the \ 2nd \ line = 3}\\ \sf{now \ substitute \ the \ values} \\ \sf {y-(-5)=3(x-4)}\\ \sf{y+5=3(x-4) (It's \ Point-Slope\;Form, \ see \ below \ for \ slope-intercept)}\\ \sf {y+5=3x-12} \\ \sf{y=3x-12-5} \\ \sf{y-3x-17} \end{gathered}$}}[/tex]
[tex]\pmb{\tt{done \ !!}}[/tex]
⊱_________________________________________________________⊰
1. How many variables are involved in the chi-square test?
2. Which type of chi-square test is this?
A.goodness of fit B.test of independence
3. How many degrees of freedom are involved?
4. Using the chi-square critical values table is the result of this rest statistically significant?
A. Yes B.No
The result of the respective questions are:
This chi-square test only takes into consideration one variable.The type of chi-square test this is is a Goodness of Fitdf= 3NOHow many variables are involved in the chi-square test?a)
This chi-square test only takes into consideration one variable.
b)
The type of chi-square test this is, is a Goodness of Fit
To test the hypothesis, we must determine whether the actual data conform to the assumed distribution.
The "Goodness-of-Fit" test is a statistical hypothesis test that determines how well the data that was seen resembles the data that was predicted.
c)
Parameter
n = 4
Therefore
Degrees of freedom
df= n - 1
df= 4 - 1
df= 3
d)
In conclusion
Parameters
[tex]\alpha = 0.05[/tex]
df = 3
Hence
Critical value = 7.814728
Test statistic = 6.6
Test statistic < Critical value, .
NO, the result of this test is not statistically significant.
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Pamela is 7 years younger than Jiri. The sum of their ages is 39. What is Jiri ‘s age?
Based on the task given, Pamela's age and juri's age is 16 and 23 years respectively.
EquationJuri's age = xPamela's age = x - 7Their total age = 39x + (x - 7) = 39
x + x - 7 = 39
2x = 39 + 7
2x = 46
x = 46/2
x = 23
Therefore,
Juri's age = x
= 23 years
Pamela's age = x - 7
23 - 7
= 16 years
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Divide: StartFraction 5 Over 8 EndFraction divided by three-fourths
The value gotten when 5/8 is divided by 3/4 is 5/6.
What is the value gotten from the division?A fraction is a non-integer that is made up of numerator and a denominator. An example is 5/8. Division is the process of grouping a number into equal parts using another number.
5/8 ÷ 3/4
5/8 × 4/3 = 5/6
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Given f(x)-3x-1 and g(x)-2x-3, for which value of x does g(x)=f(2)?
Answer:
x = 4
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=3x-1\\g(x)=2x-3\end{cases}[/tex]
f(2) means substitute x = 2 into function f(x):
[tex]\begin{aligned}g(x) & = f(2)\\ \implies 2x-3 & = 3(2)-1\\2x-3 & = 6-1\\2x - 3 & = 5\\2x - 3 + 3 & = 5 + 3\\2x & = 8\\\dfrac{2x}{2} & = \dfrac{8}{2}\\x & = 4\end{aligned}[/tex]
Therefore, g(4) = f(2).
f(2)
3(2)-16-15so
g(x)=52x-3=52x=8x=4Please answer all parts as I know the answers but need the work to go with them. Thus, I believe the answers are correct. Thank you!
A suitcase measures 18 inches long and 12 inches high. What is the diagonal length of the suitcase?
Answer:
21.6 in
Step-by-step explanation:
Imagine the suitcase as a rectangle, with length of 18 in and width of 12 in. In order to find the diagonal length, simply use the Pythagorean Formula, a^2 + b^2 = c^2, and solve for c!
In this case, a = 18 and b = 12.
Please give Brainliest if this was helpful!
Set up an algebraic equation and then solve.
The width of a rectangle is 14 units less than the length. If the area is 120 square
units, then find the dimensions of the rectangle.
Length:
Width:
Answer:
Width: 6
Length: 20
Step-by-step explanation:
So the area of a rectangle can be defined as: [tex]A=wl[/tex] where w=width and l=length.
In this case we don't know what the length is, so let's just say the length is the variable l, and since the width is 14 units less than the length, we can express it as (l-14). this gives us the equation: [tex]A=l(l-14)=l^2-14l[/tex]. We can solve for l, since we're given the area which is 120. So let's set the equation equal to that:
Original Equation:
[tex]A=l^2-14l[/tex]
Substitute 120 as A (given)
[tex]120=l^2-14l[/tex]
There is many ways to solve this equation: factoring, quadratic equation, completing the square etc... but in this case I'll just complete the square
Add (b/2)^2 to both sides to complete the square
[tex]120+(\frac{-14}{2})^2=l^2-14l+(\frac{-14}{2})^2[/tex]
Simplify
[tex]169=l^2-14l+49[/tex]
Rewrite right side a square binomial
[tex]169=(l-7)^2[/tex]
Take the square root of both sides
[tex]13=l-7\\[/tex]
Add 7 to both sides
[tex]20=l[/tex]
to solve for width simply subtract 14 from the length which is 20, so the width is 6
Width: 6
L: 20
Which point is a solution to the system?
Answer:
what solution bc i could answer this pls let me know the equation but......
Step-by-step explanation:
to find a solution you can add divide or subtract to find the solution like x=2
A well-mixed cookie dough will produce cookies with a mean of 6 chocolate chips apiece. What is the probability of getting a cookie with no more than 3 chips? Round your answer to four decimal places.
The probability of getting a cookie with no more than 3 chips is 0.714.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
Well-mixed cookie dough will produce cookies with a mean of 6 chocolate chips apiece.
Using poison ratio:
[tex]\rm P (X = k) = \dfrac{\lambda^k e^{-\lambda}}{k!}[/tex]
λ is the mean number of chocolate chips in a piece
[tex]\rm P (X = 6) = \dfrac{6^k e^{-6}}{k!}[/tex]
P(X ≥ 5) = 1 - P(X < 5)
P(X ≥ 5) = 1 - P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
[tex]\rm P(X \geq 5) = 1-[\dfrac{6^0 e^{-6}}{0!}+\dfrac{6^1 e^{-6}}{1!}+\dfrac{6^2 e^{-6}}{2!}+\dfrac{6^3 e^{-6}}{3!}+\dfrac{6^4 e^{-6}}{4!}][/tex]
After solving;
P(X ≥ 5) = 0.714
Thus, the probability of getting a cookie with no more than 3 chips is 0.714.
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the objective function of linear programming model should be
The objective function of a linear programming model should be to maximize or minimize the numerical value.
What is the objective function?The objective function consists of linear functions which are subjected to constraints in the form of linear equations or in the form of inequalities.
The objective function is always stated as z = ax + by.
The numerical value may be the:
Cost of a projectProduction quantityProfit valueMaterials savings.Thus, the objective function of a linear programming model, which is always linear, is to maximize or minimize a numerical value.
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PLEASE HELP ! Determine f of the quantity 2 plus h end quantity minus f of 2 all over h if f (x) = 5x − 6.
4
4h
5
5h
The value of the function is 5
What is function?A function is defined as a relation between a set of inputs having one output each.
Given function:
f(x) = 5x − 6
Now f(2+h) - f(2) /h
= 5(2+h)-6 - 10+6/h
=10+ 5h -10/h
=5h/h
=5
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Let t be the number of weeks Dr. Elder is on his diet and D(t) be a linear equation that models his weight in pounds. At the beginning of his diet, t=0, Dr. Elder weighs 265 pounds, D(0)=265. After nine weeks, t=9, he now weighs 229 pounds, D(9)=229. Find the slope
Using it's concept, it is found that the slope of the function is of -4.
What is the slope of a function?The slope of a function is given by the change in the output of the function divided by the change in the input.
For this problem, in 9 months, his weight changed from 265 pounds to 229 pounds, hence it changed -36 pounds, which means that the slope is of:
m = -36/9 = -4.
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MATH: EXPONENTIAL WORK PROBLEM 1. HELP PLEASE! 13 pts
The amount of the radioactive substance is 374.6 g
How to determine the amount of radioactive substance?The given parameters are:
Initial, a = 424 mgRate, r = 6%Time, t = 2 hoursThe amount of the radioactive substance is calculated as:
A(t) = a(1 - r)^t
This gives
A(t) = 424 * (1 - 6%)^t
At 2 hours, we have:
A(2) = 424 * (1 - 6%)^2
Evaluate
A(2) = 374.6
Hence, the amount of the radioactive substance is 374.6 g
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Find the 8th term of the sequence with formula tn= 7+2 (n-1)
Answer:
Your answer is 71
Step-by-step explanation:
7+2(n-1)
we have our n as 8
so,7+2(8-1)
9(7)=63
Based on the diagram, which is a true statement?
- If a student plays in the band, then he/she is an honor student.
- If a student is an honor student, then he/she plays in the band.
- If a student is not an honor student, then he/she cannot play in the band.
- If a student is an honor student, then he/she may also be a band member.
Based on the diagram, the true statement is "If a student is an honor student, then he/she may also be a band member."
What does the diagram show?It shows the intersection between two groups:
Honor studentsBand membersThis intersection implies some band members are honor students and vice versa. However, not all band members are honor students and not all honor students are band members.
What can be concluded?A correct conclusion is that an honor student may also belong to the band.
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ram takes 20 minutes to inspect a car, while robert takes only 18 minutes.if both start inspecting car at 8.00 hours what is the first time at which both will have finished inspecting a car at the same point time
Answer:
11:00
Step-by-step explanation:
here we have to calculate the LCM of 20 and 18
20 = 2² × 5
18 = 2 × 3²
Then
LCM(20 , 18) = 2² × 5 × 3² = 20 × 9 = 180
The
After 180 minutes (3 hours) they will have finished inspecting a car at the same point time.
Then
At 8:00 + 3 = 11:00 Ram and Robert will have finished inspecting a car at the same point time.
Which of the following shows that the two composite figures cover the same area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units. The correct option is 9 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The area of the different figures will be shown below.
Thus, the expression that shows that the two composite figures cover the same area is A = 4 + 3 + 2 = 9 units².
Hence, the correct option is 9 units².
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Suppose that poaching reduces the population of an endangered animal by 6% per year. Further suppose that when the population of this animal falls below 20, its extinction is inevitable (owing to the lack of reproductive options without severe in-breeding). If the current population of the animal is 1500, when will it face extinction? Comment on the validity of this exponential model.
If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.
Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.
Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:
20=1500*[tex](1-0.06)^{n}[/tex]
20=1500*[tex]0.94^{n}[/tex]
20/1500=[tex]0.94^{n}[/tex]
0.133=[tex]0.94^{n}[/tex]
take log both sides
log(0.133)=log[tex]0.94^{n}[/tex]-------1
log(0.133)=nlog (0.94)
put the values log values:
log(0.133)=-0.8761
log(0.94)=-0.0268
Taking 1
-0.8761=n*(-0.0268)
n=0.8761/0.0268
n=3.269
Hence to reach level of 20 the population takes 3.2 years.
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Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget: 2,020 − 22m
What does the coefficient of the expression represent? The number of months Megan will wait to sell the gadget The monthly depreciation value of the gadget The amount of money Megan will get when she sells the gadget The original value of the gadget
The coefficient (m) of the expression represents: C. the monthly depreciation value of the gadget.
What is depreciation?Depreciation can be defined as a process in which the monetary value of a physical asset decreases or falls over a period of time, especially due to wear and tear.
In this scenario, we can infer and logically deduce that the coefficient (m) of the given expression represents the monthly depreciation value of Megan's gadget.
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Answer:
it is C
Step-by-step explanation:
give the other guy brainliest, I am ok with hearts and good ratings.
Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds.
(n - 30) + n = 210
(n + 30) + n = 180
(n + 30) + n = 210
(n - 30) + n = 180
The equation that represents the given problem would be (n-30) + n = 210. The correct option is the option A; (n-30) + n = 210
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
From the given information,
n = Tom's weight in pounds
If Jim weighs 30 pounds less than Tom
Jim weighs will be (n - 30)
Thus,
The sum of their weight
(n-30) + n
∴ (n-30) + n = 210
Hence, the equation that represents the given problem would be (n-30) + n = 210. The correct option is the option A; (n-30) + n = 210
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Find the sum of s = 1 - (1)/(4) + (1)/(6)-(1)/(9)+ (1)/(11)- (1)/(14)...
The sum of the equation is
[tex] \frac{859}{2772} [/tex]
How to find the sum
Given the expression
s = 1 - (1)/(4) + (1)/(6)-(1)/(9)+ (1)/(11)- (1)/(14)
Let's find the LCM, which is 2772
s =
[tex] \frac{2772 - 693 + 462 - 308 +252 - 198}{2772} [/tex]
Add the numerators, do the addition before the substraction
s =
[tex] \frac{859}{2772} [/tex]
Thus, the sum of the equation is
[tex] \frac{859}{2772} [/tex]
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A random variable is not normally distributed, but it is mound shaped. It has a mean of 11 and a standard deviation of 4.
If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why?
Using the Central Limit Theorem, nothing can be stated about the shape of the sampling distribution for the sample mean, as the sample size is less than 30.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, we have a skewed variable and n < 30, hence nothing can be stated about the shape of the sampling distribution for the sample mean.
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who knows how to sketch this kind of graph
The graph of f(x) = 0.5sin(4x) is sketched below
Graph of trigonometric functionsFrom the question, we are to sketch the graph of the given trigonometric function.
The given trigonometric function is
f(x) = 0.5sin(4x)
The graph of f(x) = 0.5sin(4x) is sketched below
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