Answers
Answer:
ai) m = 17, applicable past x = 23/17; aii) m = 4; applicable past 3 dad jokes
Step-by-step explanation:
to calculate slope you use the (y2 - y1) / (x2 - x1) equation
so for the first one
(62 - 11) / (5 - 2)
51 / 3 = 17
the equation for this is y = 17x + b
plug in values to find b
11 = 34 + b
b is -23
y = 17x - 23
because distance cannot be negative we must find when x is exactly 0 to find where it is applicable
17x = 23
x = 23/17
for the second one we can subtract again
(10 - 2) / (5 - 3)
8 / 2
4 is the slope
like before we must find b and then find where y is 0
y = 4x + b
2 = 12 + b
b = -10
y = 4x - 10
4x = 10
x = 5/2
since you cannot have 1/2 a dad joke we round up from 2 1/2 to 3
Related Questions
Find the smallest number such that
when divided by 18, the remainder
is 17, when divided by 20 the
remainder is 19 and when divided
by 24, the remainder is 23.
Answers
Answer:
I think the answer is 7
don't blame me if I'm wrong
Answer:
359
Step-by-step explanation:
the prime factors of the numbers are
18 = 2×3×3
20 = 2×2×5
24 = 2×2×2×3
the lowest common multiple is therefore
2×2×2×3×3×5 = 360
the difference between the checked divisor numbers and the expected remainder is constantly 1 :
18 - 17 = 1
20 - 19 = 1
24 - 23 = 1
so, we can deduct this constant 1 from the LCM and get the desired number :
360 - 1 = 359
verify :
359 ÷ 18 = 19 remainder 17
359 ÷ 20 = 17 remainder 19
359 ÷ 24 = 14 remainder 23
For a population with μ = 60 , X=81, and σ = 12. Find the z-score for 81.
Answers
The z-score for 81 is 1.75
How to determine the z-score for 81?The given parameters are:
μ = 60 , X=81, and σ = 12
The z scores is calculated using:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
Substitute the given values
[tex]z = \frac{81 - 60}{12}[/tex]
Evaluate the difference
[tex]z = \frac{21}{12}[/tex]
Simplify
z = 1.75
Hence, the z-score for 81 is 1.75
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Which transformations will produce similar, but not congruent, figures?
Select each correct answer.
Square ABCD is dilated by a scale factor of and then translated 1 unit right to form square A” B" C"D"
Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form
square A"B" C"D"
Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square A" B" C"D"
Square ABCD is rotated 270" clockwise and then dilated by a scale factor of to form square A" B”C” D”
Answers
Answer:
The correct answers are A B D
Step-by-step explanation:
hope this helped!
In a vacancy for a position of animal breeder in an organization, then criteria of selection were work experience, entrance exam, and interview results. The relative importance of these criteria was regarded to be different. The weights of these criteria and scores obtained by 3 candidates (out of 100 in each criterion) are given in the following table. In addition, the selection of a candidate is based on the average result on these criteria, (full question attached)
Answers
Answer:
To determine the most suitable candidate we will calculate their total scores and see who's the best.
first for mr X
work experience = 70
score = work experience x wieght = 70 x 4 = 280
Entrance = 78
score = 78 x 3 = 234
Interview = 70
score = 70 x 4 = 210
total score = 280 + 234 + 280 = 794
for mr Y
Work experience = 89
score = 89 x 4 = 356
Entrance = 83
score = 83 x 3 = 249
Interview = 89
Score = 89 x 4 = 356
Total score = 356 + 249 + 356 = 961
for mr Z
work experience = 85
score = 85 x 4 = 340
Entrance = 89
Score = 89 x 3 = 267
Interview = 85
Score = 85 x 4 = 340
Total score = 340 + 267 + 340 = 947
So as we can see Mr Y has best score therefore I think he's the best for the job.
Explanation:
[tex]\sf Average \ Result : \dfrac{sum \ of \ value \ of \ scores}{sum \ of \ weight}[/tex]
Workout:
[tex]\sf For \ candidate \ X = \dfrac{70 \ \cdot \ 4 \ + 78 \ \cdot \ 3 \ + 70 \ \cdot \ 4 }{4 + 3 + 4} = 72.18 \ \ average \ score[/tex]
[tex]\sf For \ candidate \ Y = \dfrac{89 \ \cdot \ 4 \ + 83 \ \cdot \ 3 \ + 89 \ \cdot \ 4 }{4 + 3 + 4} = 87.36 \ \ average \ score[/tex]
[tex]\sf For \ candidate \ Z = \dfrac{85 \ \cdot \ 4 \ + 89 \ \cdot \ 3 \ + 85 \ \cdot \ 4 }{4 + 3 + 4} = 86.09 \ \ average \ score[/tex]
Conclusion:
Among all of them, candidate Y has the best average score of about 87.36 whereas candidate Z has second best score of 86.09 average score and candidate X has the least average score of 72.18.
Candidate Y is the appropriate candidate for this position on the criteria.
Function: one to one. Help with this math question!
Answers
The answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.
What is a Function ?A function is a mathematical statement used to relate a dependent and an independent variable.
It is given that
f(x) = 5/2x
g(x) = 2x - 7
It is asked to found
f.f
g.g
f.f (x) = (5/2x) * (5/2x)
= 25 / 4x²
g.g(x)= ( 2x - 7)( 2x - 7)
= 4x² -28x +49
Both the answers are in its simplified form
Therefore the answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.
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write an exponential expression that shows (10 to the power of 4) to the power of 4 simplified
Answers
Answer: it could be
[tex](10^{4} ) ^{4}[/tex]
Step-by-step explanation:
What is the present value of a cash inflow of 1250 four years from now if the required rate of
return is 8% (Rounded to 2 decimal places)?
Answers
Using simple interest, it is found that the present value of the cash inflow is of 947.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
A(t) = A(0)(1 + rt)
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem, the parameters are given as follows:
r = 0.08, t = 4, A(t) = 1250.
We have to solve for A(0) to find the present value, hence:
A(t) = A(0)(1 + rt)
1250 = A(0)(1 + 0.08 x 4)
A(0) = 1250/1.32
A(0) = 947.
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What is the solution to 8t+3(t+4) =6(t-3)
Answers
Answer:
t = - 6
Step-by-step explanation:
8t + 3(t + 4) = 6(t - 3) ← distribute parenthesis on both sides )
8t + 3t + 12 = 6t - 18 , that is
11t + 12 = 6t - 18 ( subtract 6t from both sides )
5t + 12 = - 18 ( subtract 12 from both sides )
5t = - 30 ( divide both sides by 5 )
t = - 6
10 points need help finding area
Answers
Answer:
8 un^2
Step-by-step explanation:
to find this answer you must find the area of the rectangle and then the triangle
the rectangles area is
2 * 3 = 6 un^2
the traingle is
2 * 2 * 1/2 = 2 un^2
now you add them
6 + 2 = 8 un^2
an animal shelter takes in an average of 5 animals per day. the shelter must keep its total occupancy below 300. currently the shelter has 165 animals. if none of the animals get adopted which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?
Answers
Answer:
y= 5x+165
Step-by-step explanation:
the slope is 5, so five per day, plus the y-intercept, or when x = 0
Brainliest pls
A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32.
a. Compute the value of the test statistic
Answers
The value of the z test statistic will be 2.55.
What is the z test statistic?The z test statistic is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z test statistics is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A sample of 25 provided a sample mean μ = 14 and a sample standard deviation σ = 4.32.
Then the value of the z test statistic will be
z = (x – μ) / σ
z = (25 - 14) / 4.32
z = 11 / 4.32
z = 2.546 ≈ 2.55
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The function f(x) = 2·5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function? 2 5 10 32
Answers
The multiplicative rate of change of the function f(x) = 2 × 5ˣ is 5.
What is Exponential Function?An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = bˣ, where b > 0 and b ≠ 1.
The function is given as:
f(x) = 2 X 5ˣ
The above function is an exponential function.
An exponential function is represented as:
f(x) = abˣ
Where b represents the multiplicative rate
By comparison;
b = 5
Thus, the multiplicative rate of change of the function is 5.
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Answer:
B!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
If anyone can help me to solve this.
Answers
Answer:
x=50
Step-by-step explanation:
3x-5=145(vertically opposite angle)
3x=145+5
3x=150
x=150/3
x=50
DON'T FORGET TO WRITE DEGREE
Answer:
x = 50
Step-by-step explanation:
Vertically opposite angles are of equal measure.
Solving:3x - 5 = 145
3x = 145 + 5
3x = 150
x = 50
That's all i know, Hope it helps!
Please help! Which choice belongs in space number 3?
Answers
Answer:
The Answer is [B]
Step-by-step explanation:
i actually dont have one
Answer:
∠MOP ≅ ∠NOQ
Step-by-step explanation:
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent.
Therefore:
∠MON ≅ POQ and ∠MOP ≅ ∠NOQ
Task
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with
only 710 of her 2,204 passengers and crew surviving. Data on survival
of passengers are summarized in the table below. (Data source:
http://www.encyclopedia-titanica.org/titanic-statistics.html)
a.
First class passengers
Second class passengers
Third class passengers
Total passengers
Survived
201
118
181
500
Did not survive
123
166
528
817
Total
324
284
709
1317
a. Calculate the following probabilities round your answers to three decimal points
i. If one of the passengers is randomly selected what is the probability that this passenger survived
iii. If one of the passengers is randomly selected what is the probability that this passenger was in first class and survived
iv. If one of the passengers is randomly selected from the first class passengers what is the probability that this passenger survived
v. If one of the passengers who survived is randomly selected what is the probability that this passenger was in first class
vi. If one of the passengers who survived is randomly selected what is the probability that this passenger was in third class?
Answers
The probability that a random passenger survived is 0.38
The probability that this passenger was in first class and survived is 0.153
The probability that the passenger in the first class survived is 0.620
The probability that the passenger that survived was in first class is 0.402
The probability that the passenger that survived was in third class is 0.362
What are the probabilities ?The probability that a random passenger survived is 500 / 1317 = 0.38
The probability that this passenger was in first class and survived is 201 / 1317 = 0.153
The probability that the passenger in the first class survived is: 201 /324 = 0.620
The probability that the passenger that survived was in first class: 201/500 = 0.402
The probability that the passenger that survived was in third class is: 181 / 500 = 0.362
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Based on the vertical bar chart below, in which of the following months were just over 10% of professional European soccer players
born?
March
B) January
April
May
Professional European soccer player birth months
Relative frequency (%)
20%
15%
10%
5%
Jan Feb Mar Apr May Jun
ایل
Month
....
Aug Sep Oct Nov Dec
Answers
By critically observing the vertical bar chart, only the month of May had a birth of just over 10%.
What is a bar chart?A bar chart refers to a type of chart that is used for the graphical representation of a data set, especially by using rectangular bars or vertical columns.
Based on the vertical bar chart (see attachment), the relative frequency (&) with the birth of over 10% are:
Jan Feb Mar Apr MayHowever, only the month of May had a birth of just over 10%.
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(90 Points)
(Score for Question 1: ___ of 10 points)
A local newspaper charges $42 per half-page advertisement and $86 per full-page advertisement. Kathryn has a budget of $1192 to purchase 20 advertisements.
• Define a variable for each unknown.
• Write a system of equations to represent the situation.
• How many full-page advertisements does Kathryn purchase?
• Show your work.
• How many half-page advertisements does Kathryn purchase?
Show your work.
Answers
Answer:
Let x = number of half-page advertisements
Let y = number of full-page advertisements
[tex]\begin{cases} 42x + 86y = 1192\\ x + y = 20\end{cases}[/tex]
8 full-page advertisements
12 half-page advertisements
Step-by-step explanation:
Definition of variables
Let x = number of half-page advertisements
Let y = number of full-page advertisements
Given information:
cost per half-page advertisement = $42cost per full-page advertisement = $86total budget = $1192number of advertisements to purchase = 20Using the given information, we can write a system of equations:
Equation 1: 42x + 86y = 1192
Equation 2: x + y = 20
To solve the system of equations, rearrange Equation 2 to make x the subject:
⇒ x = 20 - y
then substitute this into Equation 1 and solve for y:
⇒ 42(20 - y) + 86y = 1192
⇒ 840 - 42y + 86y = 1192
⇒ 840 + 44y = 1192
⇒ 44y = 352
⇒ y = 8
Substitute the found value of y into Equation 2 and solve for x:
⇒ x + 8 = 20
⇒ x = 12
Therefore, Kathryn purchased:
8 full-page advertisements12 half-page advertisementsWhat is the length of BC¯¯¯¯¯?
Answers
Answer:
meight you gotta do better then that
Step-by-step explanation:
a picture is probably necessary
Which expression can be used to calculateof formalin needed make this batch of 3200 pd the amount? The batch sugar 3% water 39% formalin 44% melamine 14% total 100 amount of pounds equal 3200
Answers
The appropriate expression to identify the amount of formalin is: x = 3200 ÷ 100 × 44%
How to identify the amount of formalin?To calculate the amount of formalin in this substance we must perform the following mathematical operation:
3200 ÷ 100 = 3232 × 44% = 1,408According to the above, the mathematical expression would be:
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what is π x 5
please tell me the answer as quick
Answers
Pi x 5 = 22/7 x 5
15.71428571428571
Which of the following sets represents the range of the diagram below?
Answers
The set that represents the range of the diagram below is given as follows:
B. {3, 5, 7}.
What is the range of a data-set?It is the set that contains all possible output values.
In the diagram, we have that:
The input values are: {1,2,3,4,5}.The output values are: {3,5,7}.Hence the set that represents the range of the diagram below is given as follows:
B. {3, 5, 7}.
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A baby weighed only 8.7 ounces at birth. How much lighter was she than an average baby, who weighs about 7 lb 8 ounces?
Answers
The baby is 111.3 ounces or 6.96 pounds lighter than an average baby.
What is weight ?Weight is the measurement of Gravitational force on an object.
It can be zero as in the space.
It is given in the question that
A baby weighed only 8.7 ounces at birth
weight of an average baby is 7lb 8 ounces
1 lb = 16 ounce
an average baby weight = 7 * 16 +8 = 120 ounces
The baby weight is just 8.7 ounces
so the baby is 120-8.7 = 111.3 ounces lighter than an average baby.
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HELP TO ASAP Compare the graph of f(x) with the graph of k(x) = 5(x-6)².
OA. The graph of k(x) is horizontally stretched by a factor of 5 and
shifted 6 units right.
OB. The graph of k(x) is vertically stretched by a factor of 5 and shifted
6 units right.
OC. The graph of k(x) is horizontally stretched by a factor of 5 and
shifted 6 units left.
Answers
Parent function
y=x²Now look the transformations
y=(x-6)²x is changed and shifted 6 units right
Then
y=5(x-6)²Horizontally Streched with a factor of 5
Answer:
B) The graph of k(x) is vertically stretched by a factor of 5 and shifted 6 units right.
Step-by-step explanation:
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
Given functions:
[tex]f(x) = x^2[/tex]
[tex]k(x) = 5(x - 6)^2[/tex]
Parent function: [tex]f(x) = x^2[/tex]
Translated 6 units right: [tex]f(x-6)=(x-6)^2[/tex]
Then stretched vertically by a factor of 5: [tex]5f(x-6)=5(x-6)^2[/tex]
[tex]\implies 5f(x-6)=5(x-6)^2=k(x)[/tex]
Therefore, the graph of k(x) is vertically stretched by a factor of 5 and shifted 6 units right.
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Which of the numbers below are whole numbers?
A. 6282
B. 650
C. 87
D. 99.8
E. 442.49
F. 1/10
Answers
Answer: A B C
Step-by-step explanation:
A whole number is like 1,500 and a nonwhole number is like 33.2 or like 55/100.
And have a good day.
Please assist with the following questions
Answers
The answers for following questions are;
i. $244.64
ii. $ 5314.64
What is future value?Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value is important to investors and financial planners, as they use it to estimate how much an investment made today will be worth in the future.
Here, future value or amount;
A = P(1 + r)ⁿ
Where,
A = future value = ?
P = principal = $ 12,300
r = interest rate = 6%/12 = 0.06/12 = 0.005
n = number of periods = 12 X 6 years = 72
A = P(1 + r)ⁿ
= 12,300(1 + 0.06/12)⁷²
= 12300 (1 + 0.005)⁷²
= 12300 (1.005)⁷²
= 12300 (1.4384)
= 17,614.64
Each monthly payment = Total payment / number of months
= $17,614.64 / 72
= $ 244.64
Total amount of interest = Total payment - Principal payment
= 17,614.64 - 12300
= $ 5314.64
Thus, The answers for following questions are;
i. $244.64
ii. $ 5314.64
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A line has slope Four-thirds. Through which two points could this line pass?
Answers
Answer:
Two points this line can pass through (1, 4/3) and (2, 8/3)
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
Given:
slope = 4 / 3equation: y = 4/3xwe can plug in a number for x to find y
when x = 0,
y = 4/3(0)
y = 0
point: (0,0)
when x = 1,
y = 4/3(1)
y = 4/3
point: (1, 4/3)
when x = 2,
y = 4/3(2)
y = 8/3
point: (2, 8/3)
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y = 5x+1150Use your functions to calculate the total cost for each fridge after 6 months.
New Fridge:
Answers
Answer:
[tex]x = \frac{y - 1150}{5} [/tex]
Step-by-step explanation:
[tex]y - 1150 = 5x \\ \frac{y - 1150}{5} = x \\ x = \frac{y - 1150}{5} [/tex]
The movement of the progress bar may be uneven because questions can be worth more or less (including zera
Round 608 to the nearest hundred.
O 610
Type here to search
O 700
O 500
O 600
4
Oi
1
Answers
Answer:
600
Step-by-step explanation:
Because the tens digit is less than 5, round down to 600
22. A 1 m high pole is fixed vertically on the ground at a point 50√3 m far from the foot of a building. If the angle of elevation from the top of the pole to the top of the building is 30°, what is the height of the building? A. 150 m B. 51 m C. 151 m D. 50m
Answers
Answer:
This is my answer↓:
Step-by-step explanation:
A hose fills a hot tub at a rate of 5.2 gallons per minute. How many minutes will it take to fill a 600 gallon hot tub? (nearest tenth)
Answers
Answer:
115.38 is what I got when I tryed to work it out
