Answers
Related Questions
e) If the cheetah made a round-trip and took half the amount of time on the return trip as on the front end of the trip, what would be the relationship between the average rates on each leg of the trip? Using a complete sentence, explain how you arrived at this conclusion.
Answers
The relationship between the average rates is that ; The average rate of return trip is twice the average rate of front trip.
How to determine algebra relationship?From the complete question seen online, we can say that;
Time taken on front trip = t
Time taken on return trip = 1/2 × t = t/2
Relationship between speed(Rate) and time is;
Rate ∝ 1/time
This means that Rate is inversely proportional to time.
Thus, for the front trip, the rate is; r = 1/t
For return trip, the rate is; R = 1/(t÷2)
R = 1 × 2/t
R = 2/t
Rate of front trip = 1/t
Rate of return trip = 2/t
Thus, we can say that the average rate of return trip is twice the average rate of front trip.
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What is 2b - a? If b=12 and a=5
Answers
Answer:
24-5=19
Step-by-step explanation:
1. (2b)= 2(12)
2. a=5
3. 24-5
4.9
2(12)-5
24-5
19
The answer is 19
Assume that the number of patients visiting a medical facility in a day is distributed as a poisson variable. the mean number of patients visiting is 16 per day.
what is the probability that the number of patients visiting is 15 in a day.
find the mean number of days in a month (30 days) with 15 patients visiting.
Answers
Using the Poisson distribution, it is found that:
The probability of 15 patients in a day is of 0.0992.In a month, the mean number of days with 15 patients is of 2.976.What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.In this problem, the mean is of [tex]\mu = 16[/tex], hence the probability of 15 patients in a day is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992[/tex]
Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:
M = 30 x 0.0992 = 2.976.
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What is the sum of (4x² + 2x - 3) and (3x² + 6)?
A 7x² + 2x + 3
B. 7x² + 3
C. c. 7x² + 2x - 3
D. 7x² - 2x + 3
Answers
Answer:
A
Step-by-step explanation:
(4x² + 2x - 3) + (3x² + 6)
= 4x² + 3x² + 2x - 3 + 6
= 7x² + 2x + 3
Identify the constant of proportionality from the table.
xy
3 6
4 8
7 14
9 18
Answers
2) You translate an object point 3 units to the right and 2 units down. Explain (with the aid of an equation) how you would find the coordinates of the image point. (4 marks)
Answers
Answer: By adding 2 to y and subtracting x by 3.
Step-by-step explanation: Let’s use the equation y = x since it’s simple. In order to translate an equation anywhere to the right, you have to subtract x by a unit. Since it’s 3 units, the equation is now y = x - 3. To translate an equation down, you have to add a unit to y. Since the questions asks for two units, add 2 to y. The equation should now be y + 2 = x - 3.
Which table represents a linear function?
Answers
Answer:
The first one (x=1 and y=1/2)
Step-by-step explanation:
The first table is the only one that has a constant rate of change. The x value increases by 1, and the y value increase by 1/2.
Hope this helped :)
Answer:
The first one where x increases by 1 and y increases by 1/2.
Step-by-step explanation:
To find the equation, 1/2=1+b
Solve for b
1/2-1=-0.5
B=-0.5
Now, solve for x
1/2=x-0.5
As you can already see in the table, x increase by 1, so no need to even solve.
The equation would be y=1x-0.5 (I’ll post the graph in the picture to prove it is linear.
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable yy is 1 and the degree of variable x is 1.
How do you write an effective explanation to explain this problem?
Answers
The error happens in the last line.
The relevant log rule is ln(A) - ln(B) = ln(A/B)
The issue is that the 0 isn't ln(0), so that 0 cannot be thrown into the natural log like that.
What we can do is this set of steps
ln(3x) - 0
ln(3x) - ln(1)
ln(3x/1) ... applying the log rule mentioned
ln(3x)
But these steps are a needlessly overcomplicating things. We can simply go from ln(3x)-0 to ln(3x) in one step. Subtracting off zero doesn't change ln(3x) at all.
--------------------------
Let's continue the steps to solve for x.
ln(x^2) = ln(3x)
x^2 = 3x
x^2-3x = 0
x(x-3) = 0
x = 0 or x-3 = 0
x = 0 or x = 3
Those are the two possible solutions.
However, x = 0 isn't valid because it's not in the domain of ln(x^2). In other words, ln(0) isn't defined. The domain of y = ln(x) is x > 0
This means that x = 3 is the only solution.
Round 969.991 to the nearest whole number
Answers
Answer:
Round of 969.991
970
Rules of round off
1) If the digit is odd no. the no. will increase to 1
2) if it is even the no. will be same.
N
2. a carpenter wants to cut a wood board that is feet long
into pieces that are feet long. how many whole pieces
can be cut from the board? how much wood is left over
5
16
Answers
i
Step-by-step explanation:
i
Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j³k²) (³4)
When j = -8and k = 7
Answers
The value of the expression for the given values is 1294139
Evaluating an expression
From the question, we are to rewrite the expression
(11j⁻³k²) (j³k⁴)
This can be rewritten as
11 × j⁻³ × k² × j³ × k⁴
11 × j⁻³ × j³ × k² × k⁴
11 × j⁻³⁺³ × k²⁺⁴
11 × j⁰× k⁶
= 11 × 1 × k⁶
= 11k⁶
Now we are to evaluate the expression for when j = -8 and k = 7
The expression is
= 11 × k⁶
= 11 × 7⁶
= 1294139
Hence, the value of the expression for the given values is 1294139
Here is the complete question:
Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j⁻³k²) (j³k⁴)
When j = -8 and k = 7
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Answer:
539
Step-by-step explanation:
The coefficient of 8 · 2N is
Answers
Answer:
The coefficient is 2
Helen bought 3 books and 2 pencil cases. the pencil case cost $8 less than the book. if helen spent $74, how much did a book cost?
Answers
The cost of book case be $ 11.6.
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form
Ax + B = 0.
Here, let the cost of book case be $ x
and the cost of pencil case be $ y
Now, Helen purchased 3 books and 2 pencils in $ 74.
3x + 2y = 74 .......(i)
Cost of pencil case $ 8 less than the book.
y - 8 = x ............(ii)
put the value of x in equation (i), we get
3(y - 8) + 2y = 74
3y - 24 + 2y = 74
5y = 74 + 24
5y = 98
y = 98/5
y = $ 19.6
put the value of y in equation (ii), we get
x = y -8
x = 19.6 - 8
x = $ 11.6
Thus, the cost of book case be $ 11.6.
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What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?
3x - 4y = -17
3x - 4y = -20
4x + 3y = -2
4x + 3y =-6
Answers
Step-by-step explanation:
Let, the given point of the equation of the line are (3,-1) and (0,3) i.e
(x1,y1)=(3,-1) and (x2,y2) = (0,3)
Now,
The slope of the line (m1) = y2-y1 ÷ x2-x1
= 3-(-1) ÷ 0-3
= 3+1 ÷ -3
= 4/-3
since, the lines are parallel i.e.
m1 = m2
or, m2 = -4/3
Again,
The required equation of the line passing through the point (-3,2)=(x1,y2) is
y-y1 = m2(x-x1)
or, y-2 = -4/3 ( x +3)
or, 3(y-2) = -4(x+3)
or, 3y-6 = -4x - 12
or, 4x+3y = -12+6
Therefore, 4x+3y = -6 is the right answer.
Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be simple, I need these done asap, I’d appreciate work shown C:
1) - 4 + 3x = 4 x - 8
2) -5x - 8 = 2
3) 12 r - 14 = 5 ( 2 - r )
4) 3 x - 8 = - ( 17 + 2x)
Ty!
Answers
Answer:
Step-by-step explanation:
Solving linear equation with one variable:1) -4 + 3x = 4x - 8
Add 4 to both sides
-4 + 3x + 4 = 4x - 8 + 4
3x = 4x - 4
Subtract 4x from both sides,
3x - 4x = -4x + 4x - 4
-x = -4
[tex]\sf \boxed{\bf x = 4}[/tex]
2) -5x - 8 = 2
Add 8 to both sides
-5x - 8 + 8 = 2 + 8
-5x = 10
Divide both sides by (-5)
[tex]\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}[/tex]
[tex]\sf \boxed{\bf x = -2}[/tex]
3) 12r - 14 = 5(2-r)
12r - 14 = 5*2 - 5*r
12r - 14 = 10 - 5r
Add 14 to both sides
12r - 14 + 14 = 10 - 5r + 14
12r = 24 - 5r
Add 5r to both sides
12r + 5r = 24
17r = 24
Divide both sides by 17
r = 24/17
4) 3x - 8 = -(17 + 2x)
3x - 8 = -17 - 2x
Add 8 to both sides
3x - 8 + 8 = -17 - 2x + 8
3x = -9 - 2x
Add 2x to both sides
3x + 2x = -9
5x = -9
Divide both sides by 5
[tex]\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}[/tex]
Answer:
1) x = 4
2) x = -2
3) [tex]r= \frac{24}{7}[/tex] [tex](1\frac{7}{17})[/tex]
4) [tex]x=-\frac{9}{5}[/tex] [tex](-1\frac{4}{5})[/tex]
Step-by-step explanation:
hope this helps!!
(work shown in photo :) )
If the independent variable is in the rows of a cross-tabulation and the dependent variable is in the columns, which percents do we use for comparisons?
Answers
We make use of the row percentage for comparisons
How to determine the percentage of comparison?From the question, we have:
Row ⇒ Independent variableColumn ⇒ Dependent variableThe data represented by the independent variable is always used to make comparison
Since this variable is on the rows, then the row percentage would be used for comparisons
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please help me its math 10 points
Answers
Answer:
it should be 319
Step-by-step explanation:
Answer:
639 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
The first number in a pattern is 186. The pattern follows the rule subtract 17. What are the next three numbers?
Answers
Answer:
169, 152, 135
Step-by-step explanation:
186-17=169
169-17=152
152-17=135
Which table of ordered pairs represents a proportional relationship?
Answers
Answer:
The second table
Step-by-step explanation:
A proportional relationship is a relationship in which the ratio of two variables is equivalent.
2:10, 4:20, and 6:30 are all equivalent ratios that can all be simplified and written as 1:5, thus the second table is the correct answer
I require assistance.
Answers
Answer:
its 3.348 - crown pls
Step-by-step explanation:
easiest way of doing this is multiplying the total by the known number then put that number on top. After that divide and check if its right
What are all the solutions of x² + 3x -4 = 0? Multiple choice
A: -4
B:-2
C:-1
D:0
E:1
F:2
G:4
Answers
Answer :
A and E .
Step-by-step explanation:
write equation of the log base of 3
Answers
Answer:
see below
Step-by-step explanation:
The graph is shifted to the RIGHT so it will be a ' x-1'
and it is shifted UP 3 units so:
Looks like log3 (x-1) + 3
at x = 4 the value of the graph is 4
log3 (4-1) + 3 = 4 CHECK !
[tex]f(x) = \sqrt{9 - {x}^{2} } [/tex]
I have a doubt. I know that the domain will be [-3, 3] because this is a real function. But what will be the range. Everywhere it is given as [0, 3]. But shouldn't it be [-3, 3].
For example let x = 0, then f(x) = √9, and it can be either -3 or 3. Why are we considering just the positive value?
Please explain.
Answers
Answer:
range of f is [0,3]
Step-by-step explanation:
The "square root" symbol, [tex]\sqrt{\text{ \quad }}[/tex], is a function. As a result, it only has a single output because functions must only have a single output for each input.
Thinking about it graphically, if the square root function did give both a positive and a negative result, the function "f" would not pass the vertical line test and it would not be a function.
When solving an equation like [tex]x^2=25[/tex], to solve, we must apply the square root property. The square root property says that to find both solutions, one must look at both the positive and the negative of the square root. So, to solve:
[tex]x^2=25[/tex]
Apply square root property...
[tex]\sqrt{x^2} = \pm \sqrt{25}[/tex]
[tex]x=\sqrt{25}[/tex] or [tex]x=-\sqrt{25}[/tex]
[tex]x=5[/tex] or [tex]x=-5[/tex]
In this case, because the square root function itself only outputs non-negative results (so, including zero, as you already identified), the range will only be [0,3].
The dimensions of a cylindrical can of pet food are shown below.
What is the volume of the can, in terms of π?
A
2.25π cubic inches
B
4.5π cubic inches
C
9π cubic inches
D
18π cubic inches
Answers
Answer:
4.5 pie cubic inches
Answer:
B. 4.5π cubic inches
Step-by-step explanation:
The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.
[tex]\boxed{\text{Volume of cylinder}=πr^2h}[/tex]
Given: diameter= 3 in, height= 2 in.
Diameter= 2(radius)
r= 3 ÷2
r= 1.5
Substitute the value of r and h into the formula:
Volume of cylinder
= π(1.5²)(2)
= 4.5π in³
Thus, B is the correct option.
Additional:
For more about volume of cylinder, do check out the following!
https://brainly.com/question/6204273Can you answer the question
Answers
Step-by-step explanation:
Hi There! Let me help you :)
[tex] = 8.8.8.8.8.8.8[/tex]
[tex] = ( \text{there \: are \: 7 \:numbers \: eight })[/tex]
[tex] \: [/tex]
So we can rewrite the above equation to be like this.
[tex] = 8.8.8.8.8.8.8[/tex]
[tex] = 8.(1 + 1 + 1 + 1 + 1 + 1 +1)[/tex]
[tex] = 8.7[/tex]
BRANILIST PLS HELP
The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Answers
Answer:
RSP, ZXY
SRP, XZY
RPS, ZYX
Step-by-step explanation:
Obviously, the numbers match each other.
ex. R = 41, Z = 41
Those two have the ability to pair in the same order
Sandhu lights a candle at 6 pm. It is 30 cm high. At 7pm, the candle is 27 cm high. At 8pm, it is 24cm high. a) How many cm does the candle burn down every hour? b) How high is the candle at 11 pm?
Answers
Your final answer: A) The candle burns down 3 centimeters every hour. B) At 11 pm, the candle is 15 centimeters high.
A scale model of a statue has a height of 20 cm. The real statue has a height of 2 m. The model and statue are both made of the same stone which has a density of 1.8 g/cm3. The mass of the real statue is 104.4 kg. Find the volume of the model in cm3
Answers
The volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
A scale model of a statue has a height of 20 cm.
The formula for density:
D = mass/volume
Volume = base area×hieght
104.4 kg = 104400 grams
2 m = 200 cm
Volume = Mass/D
Volume(real statue) = 104400/200 = 522 cubic cm
Scale factor = 20/200 = 1/10
Volume of model statue = 522(1/10) = 52.2 cubic cm
Thus, the volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m
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Which list of numbers is shown on the number line below?
A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2.
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Negative 2.5, negative 1 and one-third, 50 percent, 1.5
Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5
Negative 2.5, negative 1 and one-third, 25 percent, 1.5
Answers
Answer:
is A
Step-by-step explanation:
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Pls Mark Brainliest
Answer:
The first choice on edge / A
Step-by-step explanation:
don't come at me if its wrong
2.8 + 32x + 1 =16.6
Answers
Answer:
x = 0.4Step-by-step explanation:
Assuming you are looking for x
2.8 + 32x + 1 = 16.6
32x = 16.6 - 2.8 - 1
32x = 12.8
x = 12.8 : 32
x = 0.4
-----------------------
check
2.8 + 32 * 0.4 + 1 = 16.6
2.8 + 12.8 + 1 = 16.6
16.6 = 16.6
the answer is good
