Step-by-step explanation:
If we let the width be w, then the length is w+3.5.
This means that w(w+3.5)=11
w^2 + 3.5w - 11 = 0
2w^2 + 7w - 22 = 0 (multiply both sides by 2)
(2w+11)(w-2)=0
w = -11/2 or w = 2 (disregard w = -11/2 as distance is positive)
This means that w=2, and thus the length is 2+3.5=5.5
please help due in 13 mins.
Answer:
Graph A
Step-by-step explanation:
Becuase if we rewrite it in slope-intercept form then we get y=3/4x-13/2
74°
32°
to
Find the value of x
Answer: give the proper question
Step-by-step explanation: for solutions
What is the y-value of the vertex of 4x^+ 8x - 8?
Answer: The y-value of the vertex is
Step-by-step explanation: we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The vertex is the point
The y-value of the vertex is
The heights, in inches, of five people on a basketball team at listed below 65, 58, 64, 61, 67 explains the meaning of the meaning absolute deviation in context of the situation
Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.In this problem, the mean is given by:
M = (65 + 58 + 64 + 61 + 67)/5 = 63.
Hence the mean absolute deviation is given by:
MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.
The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
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ryan’s mom randomly chooses two days each week for Ryan to do his chores. what is the probability that she picks Saturday and Sunday?
Answer:
2/7= 28.6%
Step-by-step explanation:
Since those are 2 specific days out of seven, we divide it so that there are 2/7 days. Then we change it to a percentage, which would be the equation of 2/7*100, which is equal to 28.57%, which rounds to 28.6%.
Complete Syd’s work to find the scale factor Scale factor = StartFraction scale drawing dimension over Original dimension EndFraction = StartFraction 7.5 over 3 EndFraction What is the scale factor? 2.5 3 4.5 7.5
Answer:
2.5
Step-by-step explanation:
I need help plss, whoever answers me, I’ll give brainliest.
Answer:
12.
Step-by-step explanation:
36 = 3 * 12
48 = 4 * 12,
Solve this question for points
The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times, 26 repeated 1 time, and 27 3/4 repeated 1 time so on.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
Draw dots on each of the data element in the data set:
25 repeated 1 time
25 1/2 repeated 2 times
26 repeated 1 time
27 3/4 repeated 1 time
28 1/2 repeated two times
And so on.
Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times, 26 repeated 1 time, and 27 3/4 repeated 1 time so on.
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Situation:
You invest $100 in an account that pays
an interest rate of 6.5%, compounded
continuously.
Calculate the balance of your account after 6
years. Round your answer to the nearest
hundredth.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\dotfill &6 \end{cases} \\\\\\ A=100e^{0.065\cdot 6}\implies A=100e^{0.39}\implies A\approx 147.70[/tex]
The balance of your account after 6 years with continuous compounding would be approximately $147.56.
To calculate the balance of your account after 6 years with continuous compounding, you can use the formula:
[tex]\[ A = P \times e^{rt} \][/tex]
where:
[tex]\( A \) =[/tex] the balance after [tex]\( t \)[/tex] years
[tex]\( P \) =[/tex]the principal amount (initial investment) = $100
[tex]\( r \) =[/tex] the annual interest rate (in decimal form) = 6.5% = 0.065
[tex]\( t \) =[/tex] the number of years = 6
[tex]\( e \) =[/tex] Euler's number (approximately 2.71828)
Let's plug in the values and calculate the balance:
[tex]\[ A = 100 \times e^{0.065 \times 6} \]\[ A = 100 \times e^{0.39} \]\[ A = 100 \times 1.47560080488 \]\[ A = 147.560080488 \][/tex]
Rounding the answer to the nearest hundredth:
[tex]\[ A \approx $147.56 \][/tex]
So, the balance of your account after 6 years with continuous compounding would be approximately $147.56.
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need help ASAp pleaseeeeeeeeeeeeeeeee
For which values of x is the limit positive infinity when x
approaches the values from the left?
Answer:
The Answers are: 1) -3pi/2 & 4) pi/2
Step-by-step explanation:
I got it right!
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 43 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98? Round your answer to 4 decimal places, if necessary.
Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Normal Probability Distribution
In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by and.
The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
[tex]Z=\dfrac{98-100}{15}[/tex]
[tex]Z=-0.13[/tex]
Has a p-value of 0.4483.
0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
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When paying off debts, you should _____.
Answer:
Continue to make the minimum monthly payment on all of your debts while putting as much extra money as possible toward your smallest debt
Step-by-step explanation:
Once that debt is paid off, put your extra money toward your next-smallest debt, and so on. The bigger you build your debt snowball, the closer you'll get to debt freedom
Find the sum of the first 20 term of the Series 5+8+11+14+....
Step-by-step explanation:
Sn=n/2(2a+(n-1)d). n=20
S20= 20/2 (2x5+(20-1)3 a=5
S20=10(10+57). d=8-5=3
S20=10x67
S20= 670
Hope this helps you
have a great day
The function g is given by g(x) = ax^2 − b, where a and b are real numbers. If g(2) = −5 and g(−1) = 2, find the values of a and b.
Answer:
a = 1
b = -1
Step-by-step explanation:
[tex]g(x)=ax^2-b \quad \quad \textsf{(where }\:a\:\textsf{ and }\:b\:\textsf{ are real numbers)}[/tex]
Create 2 equations with b as the subject using the given information.
Equation 1
[tex]\begin{aligned}g(2) &=-5\\\implies a(2)^2-b &=-5\\4a-b &=5\\ b&=4a-5\end{aligned}[/tex]
Equation 2
[tex]\begin{aligned}g(-1) &=2\\\implies a(-1)^2-b &=2\\a-b &=2\\ b &=a-2\end{aligned}[/tex]
Equate the equations and solve for a:
[tex]\begin{aligned}b & =b\\\implies 4a-5 & = a-2\\3a & = 3\\a & = 1\\\end{aligned}[/tex]
Substitute the value of a into Equation 2 and solve for b:
[tex]\begin{aligned}b & =a-2\\a=1 \implies b & =1-2\\b & = -1\end{aligned}[/tex]
Answer:
a = -7/3
b = -13/3
Step-by-step explanation:
Making equations in terms of 'a' and 'b' :
g(2) = -5 = a(2)² - b ⇒ 4a - b = -5 [Equation 1]g(-1) = 2 = a(-1)² - b ⇒ a - b = 2 [Equation 2]Subtract : Equation 1 - Equation 2
4a - b - a + b = -5 - 23a = -7a = -7/3Finding b :
-7/3 - b = 2b = -7/3 - 6/3b = -13/3A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $275 each, and the desktop computers cost $175 each. How much would it cost to buy 10 notebooks and 16 desktop computers? How much would it cost to buy nn notebooks and dd desktop computers?
Write the equation for total cost, nn notebooks and dd desktop computers:
The cost to buy 10 notebooks and 16 desktop computers is $5550
Cost of notebook computers = $275
Cost of desktop computers = $175 each
The cost to buy 10 notebooks and 16 desktop computers will be:
= 275(10) + 175(16)
= 2750 + 2800
= $5550
The cost to buy n notebooks and d desktop computers will be:
= 275(n) + 175(d)
= 275n + 175d
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An electrician uses 46 3/4 feet of push-back wire from a 200-foot roll. How many feet of wire are left on the roll?
Answer:
153 1/4 feet
Step-by-step explanation:
Remaining
200 - 46 3/4153 1/4 feetEvaluate x + y when x = -19/12 and y = -7/5
Hey there!
x + y
= -19/12 + (-7/5)
= -19/12 - 7/5
= -95/60 + -84/60
= -95/60 - 84/60
= -95 + (-84) / 60 - 0
= -95 - 84 / 60
= -179 / 60
Therefore, the answer should be:
-179 / 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
x+y= -2 59/60
Step-by-step explanation:
=-19/12-7/5 = -95-84
60
=-179
60
= -2/59/60
Find the median of the data set: 5, 19, 11, 3, 21, 9. (Round your answers to one decimal place, if necessary.)
Answer:
3.33
Step-by-step explanation:
In this case, the number we have is an even number so you can not choose the one in the middle so you would take those two and add the then divide them by how many numbers you have there which would be 6 in the case and then round it to the nearest decimal.
i really need help bad!!
Answer:
5. x = 17
7. x = 2
Step-by-step explanation:
The applicable relation is, "the product of the near distance to the circle and the far distance to the circle is the same for each secant." Distance is measured from the point where the secants intersect.
__
5.Using the rule, we have ...
7(7+x) = 8(8+13)
7+x = 24 . . . . . . . . . divide by 7
x = 17 . . . . . . . . . . subtract 7
__
7.The same rule applies.
7(7 +6x -1) = 9(9 +x +3)
42x +42 = 9x +108 . . . . . . simplify
33x = 66 . . . . . . . . . . . . . subtract 9x+42
x = 2 . . . . . . . . . . . . . . divide by 33
Which graph best represents this relationship?
distance = 20 x time
OA. graph A
OB. graph B
O C. graph C
OD. graph D
Answer:
graph C represents this relationship best.
Which of the following are square roots of the number below? Check all that
apply.
400
A. -20
B. -4001/2
C. 40
D. 4001/2
E. 10
F. 20
Using complete sentences, explain which function has the greatest y-intercept.
Answer:
Step-by-step explanation:
this is correct trust me im learning this and passing the concept h(x)=2+3
and f(x)=3x-2
Here is a tip use desmos it is a graphing calculater and will tell you the answer
Henry made a shirt using 1/3 yards of yellow fabric and 1/2 yards of red fabric. How many yards of fabric did he use in all?
Write your answer as a fraction in simplest form.
I think that the answer is 123
Q6.
Jake and Sarah each played a computer game six times.
Their scores for each game are shown below.
Jake
10 9
8
11 12
8
10
Sarah
2
10 7
14 4
(a) Who had the most consistent scores, Jake or Sarah?
You must give a reason for your answer.
Kayden walked 18 miles in 6 hours. What was his walking rate in miles per hour?
Answer:
3
Step-by-step explanation:
If he went 18 miles in 6 hours we can simpliy divide 18 by 6 which is 3 miles per hour
It takes $5 in gas to drive 26 miles. How much does each miles cost?
Answer:
$5.20
Step-by-step explanation:
divide 5 dollars by 26 miles.
26 miles÷ $5 = $5.20
EASY POINTS
Which of the following sets represents the range of the diagram below?
Answer:
D)
Step-by-step explanation:
This is a subjective function and range and co-domain are equal.
Range = {3 , 5 , 7}
write the equation of the line that passes through (-7,-4) and (-6,-2) in slope intercept form
Answer:
y = 2x + 10
Step-by-step explanation:
Hi there!
We are given the points (-7, -4) and (-6, -2) and we want to write the equation of the line that passes through these points in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope (m) of the line
The slope can be calculated from 2 points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid any confusion & and mistakes
[tex]x_1= -7\\y_1=-4\\x_2=-6\\y_2=-2[/tex]
Substitute these values into the formula (note: remember that the formula has subtraction in it!)
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--4}{-6--7}[/tex]
Simplify
m=[tex]\frac{-2+4}{-6+7}[/tex]
Add the numbers
m=[tex]\frac{2}{1}[/tex]
Divide
m=2
The slope of the line is 2
We can substitute that in:
y = 2x + b
Now we need to find b
As the equation passes through both (-7,-4) and (-6,-2), we can use either point to help solve for b
Taking (-6, -2) for example:
Substitute -6 as x and -2 as y into the equation.
-2 = 2(-6) + b
Multiply
-2 = -12 + b
Add 12 to both sides
-2 = -12 + b
+12 +12
___________
10 = b
Substitute 10 as b.
y = 2x + 10
Hope this helps!
Topic: Finding the equation of a line
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Find the area of the circle. Use 3.14 for pie. Do not round your answer.
and inside the circle it says 14 inches
radius= 14 inches
to find:the area of the circle.
solution:[tex]area = \pi {r}^{2} [/tex]
[tex]a = \pi \times {14}^{2} [/tex]
[tex]a = 615.75216[/tex]
[tex]a = 615.75 \: {in}^{2} [/tex]
therefore, the area of the circle is 615.75 square inches.
The area is:
615.44 in²
Work/explanation:
The formula for the area of a circle is:
[tex]\sf{A=\pi r^2}}[/tex]
Where
A = area
π = 3.14
r = radius
Diagram:
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 14\ in}\end{picture}[/tex]
Plug in the data:
[tex]\sf{A=3.14\times14^2}\\\\\sf{A=3.14\times196}\\\\\sf{A=615.44\:in^2}[/tex]
Hence, the area is 615.44 in².