Answer:
You need to find the equations for each scenario and set them = to each other
Step-by-step explanation:
A) S = 5t + 5
B) S = 7t + 2
Now set them = and solve for t
5t + 5 = 7t + 2
3 = 2t
t = 3/2 of an hr
To check plug in 3/2 into both equations and you should get same answer.
Hope this helps and never stop striving to learn more!
Can somebody help me please
The area of figure is 272.52 square units.
The given figure consist:
A parallelogram of,
length = 12
width = 18
Since we know that,
Area of parallelogram = length x width
= 12 x 18
= 216 square units
And it consist of a semicircle of,
radius = 12/2
= 6
Since we know that,
Area of semicircle is = πr²/2
= 3.14 x 6 x 6/2
= 56.52 square units
Thus,
The area of figure is sum of both areas,
⇒ 216 + 56.52
Hence, area is
⇒ 272.52 square units
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Someone please help me with this
Answer:
<4
Step-by-step explanation:
Match each expression with it simplied expression? help me please
if line M is parallel to line and, in the slope of M is -5/7, what is the slope of line end? Your denominator must be positive
(easy question, easy points)
Answer:
I'm so sorry I don't know the answer but I thought you should know that your pfp is pogchamp :))
Dream Team is life :p
PLease helpp asap!!!! a line passes through the point (2,6) and has a slope of -9 write the equation of the line in point slope form
ANSWER:
y-6= -9 x (x-2)
Step-by-step explanation:
hope this helps!!! please mark me brainliest!
James sat an English quiz. He scored 7 out of 8 what percentage did he get right?
Answer:
James scored 87.5% in the test.
Step-by-step explanation:
7 x 100 : 8 = 87.5%
Use a table to show the sample space of two-digit numbers using the digits 9,4,5,8
the sample space of two-digit numbers using the digits 9, 4, 5, and 8 consists of 16 possible outcomes, and we can list all these outcomes in a table as shown above.
How to solve the question?
To create a sample space of two-digit numbers using the digits 9, 4, 5, and 8, we need to consider all possible combinations of these digits. We can list all possible outcomes in a table where each digit represents a column and each combination represents a row.
The first digit can be any of the four digits, and the second digit can also be any of the four digits, including the same digit as the first. Therefore, the total number of outcomes is 4 x 4 = 16.
Here is the sample space of two-digit numbers using the digits 9, 4, 5, and 8:
9 4 5 8
9 99 94 95 98
4 49 44 45 48
5 59 54 55 58
8 89 84 85 88
As shown in the table, the first digit can be any of the four digits, and the second digit can also be any of the four digits. For example, the first row shows that the possible two-digit numbers starting with 9 are 99, 94, 95, and 98. Similarly, the second row shows that the possible two-digit numbers starting with 4 are 49, 44, 45, and 48, and so on.
In conclusion, the sample space of two-digit numbers using the digits 9, 4, 5, and 8 consists of 16 possible outcomes, and we can list all these outcomes in a table as shown above.
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11 minus the product of 5 and a number k, how would you write this as a equation?
Answer:
I think it would be written like this: 11-(5*k)
Step-by-step explanation:
Discuss why even though there are a limited number elements, there
is an infinite number of types of matter (2-3 sentences). Make sure
to discuss matter composition and/or geometry.
The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.
While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.
Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.
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16 X +12 over two equals 100
The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825
Given that equation \(\frac{16x+12}{2}=100\) and asked to evaluate the value of x in the given equation
⇒ \(\frac{16x+12}{2}=100\)(given equation)
To solve the given equation, need to use the various mathematical operations i.e division and subtraction)
⇒8x+6=100 ( using the operation division)
⇒8x=100-6 (using the operation subtraction)
⇒8x=94
⇒x=\(\frac{94}{8}\)(using the operation division)
⇒x=11.825
By using the mathematical operations i.e division and subtraction the value of x came as 11.825
⇒Therefore, The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825
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find the equation of the line in form y=mx+c
please help
The equation of the line in form y=mx+c is y = -3x + 1 and y = 2x - 1
What is the equation of the line?The equation y = mx + c, where m is the gradient of the line (how steep the line is), and c is the y-intercept, is the universal equation of any straight line (the point in which the line crosses the y-axis).In the linear equation y = mx + c, the variables x and y correspond to points on the line.We get a result for y when we enter a value for x into the equation y = mx + c.In light of the fact that y depends on the value of x, x is an independent variable and y is a dependent variable.We can find the equation of the line using the values of x and y
We know that for a straight line
m = y₂ -y₁/x₂-x₁
Let us take values x = -4, y= 17 and x= -3 y =13.
m = 17-13/ -4+3
m = -4
Now putting the value in the equation of the line.
y =mx + c
17 = (-4). -4 + c
17 = 16 + c
c = 1
Hence the equation of the line
y = -3x + 1
We know that for a straight line
m = y₂ -y₁/x₂-x₁
Let us take values x = -4, y= 17 and x= -3 y =13.
m = -5 +1 / -2-0
m = 2
Now putting the value in the equation of line.
y =mx + c
-5 = (2). -2 + c
-5 = -4 + c
c = -1
Hence the equation of line
y = 2x - 1
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Activity 1: Try Me! Directions: Read and analyze the given activity. Answer and do what is needed for the following. A. Computing for the Mean of a Sample Find the mean of the following sets of numbers. Given Mean 3, 4, 9, 11, 5 7, 11, 10, 13, 5, 6 13, 3, 6, 8, 12, 9, 5 15, 11, 16, 15, 18, 20, 20 21, 23, 25, 19, 15, 26, 27, 29
The mean of the first set is 8.67
The mean of the second set is 8
The mean of the third set is 16.43
The mean of the fourth set is 23.13.
Compute for the sum of the given numbers in each set.
Divide the sum computed in step 1 by the total number of values in each set (count the values).
The resulting quotient is the mean of the respective set of numbers.
A. Computing for the Mean of a Sample
Given Mean 3, 4, 9, 11, 5
To find the mean of the given set, we need to compute the sum first.
3 + 4 + 9 + 11 + 5 = 32
There are five (5) values in the set, so we divide the sum by 5.32 ÷ 5 = 6.4
Thus, the mean of the first set is 6.4.7, 11, 10, 13, 5, 6
Sum = 52
Count = 6
Mean = 52 ÷ 6 = 8.67
The mean of the second set is 8.67.13, 3, 6, 8, 12, 9, 5
Sum = 56
Count = 7
Mean = 56 ÷ 7 = 8
The mean of the third set is 8.15, 11, 16, 15, 18, 20, 20
Sum = 115
Count = 7
Mean = 115 ÷ 7 = 16.43
The mean of the fourth set is 16.43.21, 23, 25, 19, 15, 26, 27, 29
Sum = 185
Count = 8
Mean = 185 ÷ 8 = 23.13
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The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
Answer:
35 [$]
Step-by-step explanation:
1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;
2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;
3) using the two above it is possible to make up the system of two equations:
\(\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.\)
4) finally, the have together 10+25=35 doll-s.
Jacky and Peter had a total of 70 dolls altogether.
What is an equation?A equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of Jack doll and y represent Peter doll, hence:
x - 15 = y + 15 (1)
Also:
(5/7)(x + y) = x (2)
From both equations:
x = 50, y = 20
x + y = 50 + 20 = 70
Jacky and Peter had a total of 70 dolls altogether.
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f the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be in the columns? A multiplication table. In the column labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the column labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. 20 would be in the column for 2, and 60 would be in the column for 6. 20 would be in the column for 6, and 60 would be in the column for 2. 20 would be in the column for 2, and 56 would be in the column for 6. 20 would be in the column for 6, and 56 would be in the column for 2. please hurry im in a rush
The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:
20 would be in the column for 2, and 60 would be in the column for 6.
What is a proportional relationship?A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:
y = kx
The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:
k = 6/2 = 3.
Hence the equation is:
y = 3x.
The values given by each column are given as follows:
Column 2: values of x.Column 6: values of y.When x = 20, the numeric value of the relationship is of:
y = 3 x 20 = 60.
Hence the first option is correct.
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Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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TRUE/FALSE. Lambda and r are related; specifically the natural log of lambda is equal to r.
The given statement "Lambda and r are related; specifically the natural log of lambda is equal to r." is False because lambda and r are not necessarily related in such a way.
Lambda and r are both parameters that can be used to model exponential decay or growth, but they have different interpretations and units of measurement.
Lambda, denoted as λ, is the decay constant or the rate at which a quantity decreases over time in an exponential decay model. It has units of inverse time (e.g., per second, per year). The natural logarithm of λ is not equal to r, but rather to the negative of the decay rate: ln(λ) = -k, where k is the decay rate.
On the other hand, r is the growth rate or the rate at which a quantity increases over time in an exponential growth model. It has units of inverse time (e.g., per second, per year) like lambda. The natural logarithm of the base of the exponential growth function is equal to r: ln(b) = r, where b is the base of the exponential function.
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Martin is making bracelets with yarn and has 4 yards of yarn. Each bracelet takes (1/6) of a yard of yarn. How many bracelets can he make?
Answer:
24
Step-by-step explanation:
if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets
I went out to the hazel wood,
Because a fire was in my head,
And cut and peeled a hazel wand,
And hooked a berry to a thread;
And when white moths were on the wing,
And moth-like stars were flickering out,
I dropped the berry in a stream
And caught a little silver trout.
—“The Song of Wandering Aengus,”
William Butler Yeats
Choose the best visualization of the fishing pole described as “a hazel wand.”
The pole looks like an ordinary pole.
The pole looks like it has mythical power.
The pole looks like it catches only trout.
The pole looks like a trap for white moths.
pls answer this pls in at least in 5 min pls
Answer:
Shalani Moore? from Mrs.Chastain's class in 6th grade?
Step-by-step explanation:
It's Antonio.
What is the measure of the
third angle of this triangle?
Answer:
20 degrees
Step-by-step explanation:
every triangle had 3 angles that all add up to 180
the problem gives you two angles which are 120+40 which is 160
180-160 is 20 degrees which is whi it is the answer
1. If 4.75x = 12.35, what is the value of x?
2. What is 3x +2+ 4x - 1 after combining like terms?
Answer:
1. x = 2.6
2. 7x + 1
Step-by-step explanation:
1. If 4.75x = 12.35, what is the value of x?
The equation is 4.75x = 12.35
The value of x can be determined by dividing both sides of the equation by 4.75
4.75x / 4.75 = 12.35 / 4.75
x = 2.6
2. What is 3x + 2 + 4x - 1 after combining like terms
Combining terms with variable x and constant terms (without any variable)
3x + 2 + 4x - 1
3x + 4x + 2 - 1
7x + 1
Please help. (100 POINTS)
Answer:
See below.
Step-by-step explanation:
A. The angles 7 & 8 are vertically oppostie angles (V.O.A) & since they share the same vertex caused by the intersection of lines C & D, they'll have the same angle too.
B. Special angles caused by the intersection of lines C & D will have the same value as they are V.O.As & share the same vertex. Hence, to solve for y, the equation will be =》 5y - 29 = 3y + 19
C. Solving for y,
5y - 29 = 3y + 19
5y - 3y = 19 + 29
2y = 48
y = 48/2
y = 24
Since, angle 7 & 5y - 29 are linear pairs,
angle 7 = 180 - (5(24) - 29)
angle 7 = 180 - (120 - 29)
angle 7 = 180 - 91
angle 7 = 89°
Similarly, angle 8 & 3y + 19 are linear pairs,
angle 8 = 180 - (3(24) + 19)
angle 8 = 180 - (72 + 19)
angle 8 = 180 - (91)
angle 8 = 89°
•°• Hence, we also proved that angle 8 & 7 are V.O.As.
_________
hope this helps!
When constructing a perpendicular line through a point on a line, how can you verify that the lines constructed are perpendicular? (1 point)
Check the angles used in the construction with a straightedge to ensure consistency.
Check the distance along the lines at several places with a compass to ensure they are the same length.
Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles.
Check the distance between the lines at several places with a compass to ensure they are equidistant
If you know the slope of the lines, you can also use these methods:
- see if the slopes multiplied by each other are -1 (should be if they're perpendicular)
- test if the slopes are opposite reciprocals (if they are, they are perpendicular)
6. GOLF SCORES Emmanuel is practicing golf as part of his school's golf team. Each week he plays a
full round of golf and records his total score. His scores for the first five weeks are shown.
Week
1
3
4
5
Golf Score
112
108
104
98
a. Find the equation for the best-fit line for the data.
y=
2
107
b. What score can Emmanuel expect to get after 10 weeks?
a) The line of best fit is given as follows: y = -3.11x + 115.1.
b) The expected score after 10 weeks is given as follows: 84.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points are given as follows:
(1, 112), (2, 107), (3, 108), (4, 104), (5, 98).
Inserting these points into a calculator, the line of best fit giving the expected score after x weeks is given as follows:
y = -3.11x + 115.1.
Hence the score after 10 weeks is estimated as follows:
y = -3.11(10) + 115.1
y = 84.
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what is the value of 2/4
Answer:
0.5
Step-by-step explanation:
hope this helps
△LMN with vertices L(4, 8), M(4, 3), and N(8, 8) is rotated 270° clockwise about the origin.
What are the coordinates of L′?
The image of the triangle at point L is L' = (-8, 4)
How to determine the image of the triangle when rotated?The vertices of the triangle are given as:
L(4, 8), M(4, 3), and N(8, 8)
The transformation rule is given as
270 degrees rotation
The rule of 270 degrees rotation is
(x,y) = (-y , x)
When the above rule is applied to the vertices of the triangle, we have:
L' = (-8, 4)
Hence, the image of the triangle at point L is L' = (-8, 4)
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mia made 7 trips to visit her grandmother. she walked 498.75 meters in all. how far did mia walk on each trip?
Answer: 71.25 meters
Step-by-step explanation:
1. 498.75/7
2. 71.25
Mia made 7 trips to visit her grandmother. she walked 498.75 meters in all, mia walks on each trip is 71.25 m
Mia made 7 trips to visit her grandmother
she walked 498.75 meters in all
In order to calculate the distance she walks on each trip, we calculate it by dividing the total distance by the number of trips
The total distance is 498.75
The number of trips is 7
walk on each trip is 498.75/ 7 = 71.25
Therefore, mia made 7 trips to visit her grandmother. she walked 498.75 meters in all, mia walks on each trip is 71.25 m
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a fair die is tossed, and the up face is noted. if the number is even, the die is tossed again; if the number is odd, a fair coin is tossed. consider the following events: a: 5a head appears on the coin.6 b: 5the die is tossed only one time.6 a. list the sample points in the sample space. b. give the probability for each of the sample points. c. find p ( a ) and p ( b ). d. identify the sample points in ac , bc , a b, and a b. e. find p1ac 2, p1bc 2, p1a b2, p1a b2, p1ab2 , and p1b a2 . f. are a and b mutually exclusive events? independent events? why?
a) Sample space: {1,2,3,4,5,6} for the first toss of the die. If the result is even, then another toss is made, resulting in the sample space {2,4,6} for the second toss. If the first toss is odd, a coin is tossed, resulting in the sample space {H, T} for the coin toss.
b) Each outcome in the sample space has an equal probability of 1/6, except for the outcomes in {2,4,6}, which have a probability of 1/18 for the second toss.
c) P(a) = P(H) = 1/6, P(b) = 1/2.
d) ac: {5H}, bc: {1,3,5}, ab: { }, a∪b: {1,3,5,H}.
e) P(ac) = 1/6, P(bc) = 3/6 = 1/2, P(a∩b) = 0, P(a∪b) = 4/6 = 2/3, P(a|b) = P(ab)/P(b) = 0/1/2 = 0, P(b|a) = P(a∩b)/P(a) = 0/1/6 = 0.
f) a and b are not mutually exclusive events because there is a possibility that both events can occur together. They are not independent because the outcome of the first toss affects the likelihood of the second toss or coin toss.
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Let g be the piecewise defined function shown.
g(x)=
x + 4, −5 ≤ x ≤ −1
2 − x, −1 < x ≤ 5
Evaluate g at different values in its domain.
g(−4) =
g(−2) =
g(0) =
g(3) =
g(4) =
Answer:
g(4)= -2
g(-2)= 2
g(0)= 2
g(3)= -1
g(-4)= 0
Step-by-step explanation: See attachment, and don’t forget to check just in case ;)
Answer:
g(−4) = 0
g(−2) = 2
g(0) = 2
g(3) = -1
g(4) = -2
Step-by-step explanation:
Please Thank!
2. Ms. Kay did a T-shirt competition to see what shirt to order the 4 graders. There were 48 responses. 75% voted for the black T-shirt.
What is the whole?
What is the percent?
What is the part?
How would you use this formula, part=percent x whole to find the missing information?
Hint: Don't forget to turn
your part into a decimal.
PLEASE show Step by Step in order please! Or take a picture thank you all sm !!!!
Answer:
The whole = 48
The percentage = 78%
The part = 37.44
Step-by-step explanation:
The given parameters are;
The number of responses for the competition = 48 responses
The percentage that voted for the black T-shirt = 75%
The whole = The total number of responses for the competition = 48
The percentage = 78% = The part/(The whole) × 100
The part = The missing information
To find the part, we substitute the values of the whole, and the percentage into the given following equation
The part = The percent × The whole
∴ The part = 78% × 48 = 78/100 × 48 = 37.44
The part = 37.44.
Square root
Determine the square root of 196.
use the calculator and submit your answer below.
Submit
Answer:
14
Step-by-step explanation:
14 x 14 or 14^2