we have that
the answer for this question is the option D
the amount of money in the account after t years
Find the equation of a line that contains points (5,-3) and (-2,-4) in standard form
To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.
Determine the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
For the given points (5, -3) and (-2, -4), we have:
m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7
Use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (5, -3), we have:
y - (-3) = (1/7)(x - 5)
Simplifying:
y + 3 = (1/7)(x - 5)
Convert the equation to standard form:
Multiply both sides of the equation by 7 to eliminate the fraction:
7y + 21 = x - 5
Rearrange the equation to have the x and y terms on the same side:
x - 7y = 26
The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.
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Mia has 24 yards of ribbon. She gave 10 yards to her sister. Mia now wants to work on a project that requires 2 1/4 yards of ribbon per project. What is the greatest number of projects Mia can complete with this ribbon.
(Optional, just please write down step by step explanation) PLEASE ANSWER WITH EXPLANATION AS IF YOU WERE WRITING DOEN ON SCRATCH PAPER
Answer:
6 projects
Step-by-step explanation:
Original ribbon length = 24 yards
After 10 yards given to sister, Mia is left with 24-10 = 14 yards of ribbon
Each project requires 2 1/4 yards of ribbon.
2 1/4 is 9/4 yards as an improper fraction (2 * 4 + 1 is the numerator and the denominator is unchanged)
We now have to figure out how many times 9/4 yards goes into 14 yards.
For this,
14 ÷ 9/4.
To do this, flip the numerator and denominator of the fraction and multiply
14 ÷ 9/4 = 14 × 4/9 = 56/9 . We ignore any remainder.
9 goes into 56 6 times with remainder of 2 (ignore remainder)
In other words the greatest number of projects = 6
34 and -8xY
Great common factor
Answer:
2
Step-by-step explanation:
A population of values has a normal distribution with �=189.7 and �=96.7. You intend to draw a random sample of size �=62.
Find the probability that a single randomly selected value is between 189.7 and 213.
P(189.7 < X < 213) =
Find the probability that a sample of size �=62 is randomly selected with a mean between 189.7 and 213.
P(189.7 < M < 213) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.
Step 1: Calculate the z-scores for the given values using the formula:
z = (x - μ) / σ
For 189.7:
z1 = (189.7 - 189.7) / 96.7 = 0
For 213:
z2 = (213 - 189.7) / 96.7 ≈ 0.2417
Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.
P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939
Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.
To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance
Step 1: Calculate the standard error of the mean (σ_m) using the formula:
σ_m = σ / sqrt(n)
σ_m = 96.7 / sqrt(62) ≈ 12.2878
Step 2: Convert the given qualities to z-scores utilizing the equation:
z = (x - μ) / σ_m
For 189.7:
z1 = (189.7 - 189.7) / 12.2878 = 0
For 213:
z2 = (213 - 189.7) / 12.2878 ≈ 1.8967
Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.
P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702
Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
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WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)
Answer:
y = 3x - 8
Step-by-step explanation:
to find slope the equation (y2 - y1) / (x2 - x1) is used
this means change of y over change of x
[-17 - (-2)] / (-3 - 2)
(-17 + 2) / -5
-15 / -5 = 3
the slope is 3
to find slope intercept form you must find the y intercept
using y = 3x + b and plugging things in we can find it
we can plug in the first point
-2 = 2(3) + b
b is your y intercept
-2 = 6 + b
b = -8
Answer:
y = 3/1x - 8
steps:
(2,-2) (-3, -17)
x1. y1. x2. y2
y2-y1
x2-x1
-17 - -2 = -15. = 3
-3-2. -5. 1
(2,-2)
y= mx + b
-2 = 3/1(2) + b
-2 = 6 + b
-6 -6
-8 = b
y = 3/1x - 8
Two angles of a right angled triangle are (x+2)° and (2x+4)°.find x
Answer:
28
Step-by-step explanation:
180=90+x+2+2x+4
90=3x+6
84=3×
x=28
Make r the subject of the formula t=r/r-3
Answer:
I think the answer is
t=r/r-3
r=t(r-3)
r=tr-t3
Adam was curious if quadrilaterals ABCDABCDA, B, C, D and GFEHGFEHG, F, E, H were congruent, so he tried to map one figure onto the other using transformations:
Adam concluded:
"It's not possible to map ABCDABCDA, B, C, D onto GFEHGFEHG, F, E, H using a sequence of rigid transformations, so the quadrilaterals are not congruent."
What error did Adam make in his conclusion?
Answers reflection (b)
Step-by-step explanation:
it’s right on 8th grade khan ywwww
So he tried to reflect(b) map one figure onto the other using transformations.
Are quadrilaterals congruent?If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.
Are two quadrilaterals congruent?Both the theorems are proved now which states that quadrilaterals are congruent to one another. Note: Each diagonal of a parallelogram divides the parallelogram into two congruent triangles and the opposite sides of a parallelogram are congruent.
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Please answer number 1 and 2 correctly and I will give you brainlist only answer if your willing to do the math I give brainlist for the people who take there time and do it
Due in 20 mintues
Answer ASAP
Answer:
1) A: (10, 7) B: (14,7) C:(13,3) D:(9,3)
A’: (3,7) B’ (7,7) C’ (6,3) D’ (2,3)
2) The y coordinate stayed the same between the image and pre-image, but the x-coordinates decreased by 7.
Step-by-step explanation:
kids is that 500 5902.3 is equal to 519 when rounding off to the nearest ten she drop 2 to because it is less than 5 do you agree with answer explain your answer
Answer:
5192.3 rounded off to nearest ten
Step-by-step explanation:
We get the number:
51903 dropped as a decimal fraction smaller than 12 dropped and replaced with zero as we round of to tenkids missed to replace 2 with zero and lost unit digits by doing thatTELL ME IF IM CORRECT
help me fast rapidly is of khan academy:
Answer:
0 hundreds
0 tens
7 ones
.
4 tenths
0 hundredths
8 thousandths
Standard form=7.408
Step-by-step explanation:
Lets first solve (7x1)+(4x1/10)+(8x1/1000)
7+0.4+0.008
Simplify:
7.408
PLEASE MARK AS BRAINLIESTA hose fills a hot tub at a rate of 2.82
gallons per minute. How many hours will it take to fill a 303
-gallon
hot tub?
Answer:
Step-by-step explanation:
60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.
A 2-row table with 10 columns. The first row is labeled time (minutes) with entries 0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4, 4.5. The second row is labeled temperature (degrees Celsius) with entries 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.
According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?
5
5.5
6
6.5.
According to the given table the line of best fit is
f(x)=4.54x+77.84
The term "line of best fit" describes a line that passes across a scatter plot of data points and best captures their connection. Statisticians often utilise regression analysis software or manual computations to arrive at the geometric equation for the line using the least squares approach. A straightforward linear regression study of two or more independent variables will provide a straight line.
Hence, as asked by the question we need to find the time at which the tempurature will become 100°C.
To find that let us put f(x)=100 and find out the value of x for which it is satisfied.
4.54x+77.84=100
⇒\(x=\frac{100-77.84}{4.54}=4.88\)
⇒x≈5
Therefore the time at which the tempurature is 100°C is 5 minutes.
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Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).
y = negative x squared + 15 x minus 56
a.
(-7, 0); (-8, 0)
c.
(-7, 0); ( 8, 0)
b.
( 7, 0); (-8, 0)
d.
( 7, 0); ( 8, 0)
Please select the best answer from the choices provided
When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).
What are the quadratic functions?Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.
The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).
Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.
Hence, option (c) is the correct answer.
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simpify 22\4 divided by 2\5
Answer:
55/4 or 13.75 or 13 3/4
Step-by-step explanation:
it just is
Answer:
55/4
Step-by-step explanation:
keep the first fraction, change the division to multiplication then flip the second fraction. Then you do that and find it in simplest form homes
I need help with this ASAP
Answer:
X=31
Step-by-step explanation:
X-7+1+5x=180
6x-6=180
6x=180+6
6x=186
x=186÷6
X=31
Two SUVs head toward each other from opposite ends of a freeway 639 miles long. If the speed of the first SUV is 39 miles per hour and the speed of the second SUV is 32 miles per hour, how long will it take before the SUVs pass each other?
Answer:
To find the time it takes for the two SUVs to pass each other, we can use the formula:
time = distance / relative speed
The relative speed is the sum of the speeds of the two SUVs, as they are moving towards each other. Let's calculate it:
Relative speed = speed of first SUV + speed of second SUV
Relative speed = 39 mph + 32 mph
Relative speed = 71 mph
Now, we can plug in the values into the formula to find the time it takes for the SUVs to pass each other:
time = 639 miles / 71 mph
Using division, we get:
time = 9 hours
So, it will take 9 hours for the two SUVs to pass each other.
Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?
Answer:
$28
20 plus 40 percent
that's the answer
The blue dot is at what value on the number line?
-10
-6
Answer:
0
Step-by-step explanation:
The scale of the number line is by 2's. You can determine this because the number between -10 and -6 is -8. SO if you continue this pattern of increasing the number by 2, you get -6, -4, -2, then 0.
The first ones to sovle this wins a brainliest! Explain your answer!
Answer: 36 times
Step-by-step explanation: 54 divided by 12 is 4.5 so he makes 4.5 every time so if he went for 8$ he would get 36 because 4.5 times 8 equals 36 so he will drive around the track 36 times and make 8$
6(x+2) 18y-18 10x-4 16y
\( = 2(54xy - 100y - 905)\)
hope it helps
#carry on learning
follow me and mark me as brainlist plss
Answer:
The question needs more parenthasis
Step-by-step explanation:
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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Country A has an exponential growth rate of 4.3% per year. The population is currently 4,079,000, and the land area of Country A is 19,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
The number of years it would it take for there to be one person for every square yard is 108,325.68 years.
How many years would it take for there to be one person for every square yard?When there is one person for every square yard, it means that the population and land area are equal in value.
Number of years = (In FV / PV) / r
FV = future populationPV = present populationr = rate of growth(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years
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Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
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A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that
the no. of months of an employee tenure in the factory is normally distributed with a standard deviation of 6
months, find the probability that a certain employee will stay:
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months
Answer:
a) P [X ≥ 30 ] = 0,8413 or 84,13%
b) P [X < 24] = 0,0228 or 2,28 %
c) P [ 24 < X < 48 ] = 0,9544 or 95,44%
Step-by-step explanation:
z = ( X - μ₀ )/σ
μ₀ the mean ( average no. of months that an employee stay in a factory)
σ standard deviation
a) P [X ≥ 30 ] = 1 - P [X < 30 ]
P [X < 30 ]
We look for z (score)
z = ( X - μ₀ )/σ ⇒ z = 30 - 36 / 6
z = - 1
From z table we get for -1
P [X < 30 ] = 0,1587
And
P [X ≥ 30 ] = 1 - P [X < 30 ] ⇒ P [X ≥ 30 ] = 1 - 0,1587
P [X ≥ 30 ] = 0,8413 or 84,13%
b) P [X < 24]
z (score) = ( 24 - 36 ) / 6
z( score) = -2
And from z table we get:
P [X < 24] = 0,0228 or 2,28 %
c) P [ 24 < X < 48 ] is P[X ≤ 48] - P[X ≤ 24]
P [X < 48]
s (score) = 48 - 36 / 6 ⇒ z = 2
P [X < 48] = 0,9772
Then
P [ 24 < X < 48 ] = 0,9772 - 0,0228
P [ 24 < X < 48 ] = 0,9544 or 95,44%
Hi, I'd be really thankful for a proper answer for this. Thank you!
1) The probabilities are given as follows:
a) More than 75: 0.0301 = 3.01%.
b) Between 60 and 73: 0.4484 = 44.84%.
c) Less than 50: 0.1057 = 10.57%.
2) The proportion of students who fail the module is of: 0.0062 = 0.62%.
3) The measures are given as follows:
Mode: 60.Median: 60.Variance: 64.How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation in this problem are given as follows:
\(\mu = 60, \sigma = 8\)
The probability that an score is more then 75 is one subtracted by the p-value of Z when X = 75, hence:
Z = (75 - 60)/8
Z = 1.88
Z = 1.88 has a p-value of 0.9699.
1 - 0.9699 = 0.0301 = 3.01%.
The probability of an score between 60 and 73 is the p-valeu of Z when X = 73 subtracted by the p-value of Z when X = 60, hence:
Z = (73 - 60)/8
Z = 1.63
Z = 1.63 has a p-value of 0.9484.
Z = (60 - 60)/8
Z = 0
Z = 0 has a p-value of 0.5.
Then:
0.9484 - 0.5 = 0.4484 = 44.84%.
The probability of an score less than 50 is the p-value of Z when X = 50, hence:
Z = (50 - 60)/8
Z = -1.25
Z = -1.25 has a p-value of 0.1057.
The proportion who might fail the test is the p-value of Z when X = 40, hence:
Z = (40 - 60)/8
Z = -2.5
Z = -2.5 has a p-value of 0.0062.
Then the statistical measures are obtained as follows:
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Find the equation of a line parallel to -5x+y=2 that contains the point (5,-2)
Step-by-step explanation:
y= 5x+2
Well first, parallel equations will always have to same slope so we know one part of the equation, 5x
I always plug in random numbers for b into desmos until the line passes through the given point orrrr you can use the point, plug it into the equation, and solve for b
-2=5(5)+b
Given the graph of y = a sin b(x + c) +d, determine the amplitude.
A -1
C 6
B
3
D 12
- 27
9 Y
2T
Answer:
Step-by-step explanation:
The general equation for a sinusoidal function of the form y = a sin b(x + c) + d is:
a is the amplitude (the maximum displacement from the midline).
b determines the period (the distance between two consecutive peaks or troughs).
c is the horizontal shift (the amount by which the graph is shifted horizontally).
d is the vertical shift (the amount by which the graph is shifted vertically).
From the given information, we can see that:
The amplitude is not given.
b = 3, which means the period is 2π/3.
c = 6, which means the graph is shifted 6 units to the left.
d = 9, which means the graph is shifted 9 units up.
Since the amplitude is not given, we need to look at the graph to determine it. However, the graph is not provided, so we cannot determine the amplitude with the given information.
Put 1.09, 1.0, 1.9, 1.19, 1.1 on a number line in order?
Answer:
1.0, 1.09, 1.1, 1.19, 1.9
Step-by-step explanation:
Basic ordering of decimals
I need help *********
Answer:
a
Step-by-step explanation:
bc x 2 is 10× 10
so x is 10
I hope this helped