Answer:
123.771337.19Step-by-step explanation:
It should be no mystery that spending money reduces your bank account balance. Putting money in the bank increases your bank account balance.
In a statement such as this, the new balance on a line is obtained by adjusting the previous balance by the amount of money added or subtracted.
31/10/2017 -- balance = 307.56 -183.79 = 123.77
1/11/2017 -- balance = 123.77 +1213.42 = 1337.19
find the derivative of the following function using the definition. no credit will be given for using derivative rules. f(x)= 1/ (1+x^2). please solve and explain
Strictly using the limit definition of the derivative to find the derivative of the function:
The limit definition of the derivative looks like this:
\(\lim_{h \to \zero} \frac{f(x+h) - f(x) }{h}\)
If we replace f(x) with −3x, we get:
\(\lim_{h \to \zero} \frac{-3(h+x) - 3x }{h}\\\\\lim_{h \to \zero} \frac{-3h-3x) - (-3x) }{h}\\\)
Simplifying, we get:
\(\lim_{h \to \zero} \frac{-3h }{h}\\\)
So, the derivative of −3x must be −3.
We know that the secondary means the rate of change of the function. Graphically, this means that the outgrowth is the pitch of the graph of that function.
Since −3x is a first degree polynomial, we know that it'll always have the same pitch, and therefor the same outgrowth. We can also corroborate this by looking at the graph, noticing that it's a straight line:
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Simplify the product using the distributive property
(3h - 5)(5h + 4)
Step-by-step explanation:
(3h - 5)(5h + 4) = 3h * 5h + 3h * 4 - 5*5h - 5 *4
= 15h^2 - 13h -20
\((3h-5)(5h+4)\)
\(=(3h+-5)(5h+4)\)
\(=(3h)(5h)+(3h)(4)+(-5)(5h)+(-5)(4)\)
\(=15h^2+12h-25h-20\)
Answer:
\(\bold{=15h^2-13h-20}\)This is my first time using brainly and I don’t know what the question is telling me to do so please help!
A game show contestant starts
a game by answering two
questions incorrectly. Each
incorrect answer costs the
contestant $600. Use a
product of two integers to
show the point total that
would appear for the
contestant.
Answer:
Hi well the answer to the question itself is -1200 but I'm not sure abt the "product of two integers" part but this is a great start what I would suggest is try to find out what it is your teacher wants then using the -1200 to get answer - hope I helped
Line I passes through (4, 5) and is perpendicular to the line shown on the coordinate grid
What is the equation of linet in standard form?
Anyone know the answer to this question?
A triangle with an area of 37 units? is dilated by a scale factor of . Find the area of
the triangle after dilation. Round your answer to the nearest lenth, if necessary.
Answer:
58 units
Step-by-step explanation:
I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)
Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.
Finally, I solve for the area of the triangle:
1/2(46.25 x 2.5) ≈ 58 units (rounded to the nearest whole number)
SOMEONE PLEASE ANSER THIS QUESTION ASAP!!!
Answer: 28
Step-by-step explanation:
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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A dinner set can be bought for $110000 cash or by a deposit of $37000 and 24 equal monthly installments of $4600 each. How much more will the dining set cost using the hire purchase method of payment?
The difference between the dining set cost using the hire purchase method of payment is $37400.
How to calculate the cost?It should be noted that when the hire purchase is used and there is a deposit of $37000 and 24 equal monthly installments of $4600 each.
The total amount will be:
= $37000 + ($4600 × 24)
= $37000 + $110400
= $147400
On the other hand, the dinner set can be bought for $110000 cash.
Therefore, the difference will be:
= Hire purchase - Cash.
= $147400 - $110000.
= $37400
Therefore, the difference between the dining set cost using the hire purchase method of payment is $37400.
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Solve for v.-4(v+2) = 9v+31Simplify your answer as much as possible.
v = -3
Explanation:\(-4(v\text{ + 2) = 9v + 31}\)Expand using distributive property:
\(\begin{gathered} -4(v)\text{ -4(2) = 9v + 31} \\ -4v\text{ - 8 = 9v + 31} \end{gathered}\)Collect like terms:
\(\begin{gathered} \text{Add 8 to both sides:} \\ -4v\text{ -8 + 8 = 9v + 31 + 8} \\ -4v\text{ = 9v + 39} \\ \text{Subtract 9v from both sides:} \\ -4v\text{ - 9v = 9v - 9v + 39} \end{gathered}\)\(\begin{gathered} -13v\text{ = 39} \\ \text{divide both sides by -13:} \\ \frac{-13v}{-13}\text{ = }\frac{39}{-13} \\ v\text{ =-3} \end{gathered}\)Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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If y is inversely proportional to x, and y = 60 when x = 3, what are the values of y when x = 5 and x = 4?
Answer:
36
45
Step-by-step explanation:
Standard equation of inverse proportion:
y = k/x
For x = 3, y = 60. We plug in these values and find the value of k.
60 = k/3
k = 180
The equation is
y = 180/x
For x = 5:
y = 180/5
y = 36
For x = 4:
y = 180/4
y = 45
In one part of a rainforest 3/5 of the frogs are poisonous. what fraction of the frogs are not poisonous?
Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.
In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.
To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).
It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.
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The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
Find the measure of the missing angle 17
Answer:
<A =73
Step-by-step explanation:
The sum of the angles of a triangle are 180
<C is 90
<B is 17
We need to find <A
<A + < B + <C = 180
<A + 17+90 = 180
<A + 107 =180
<A = 180-107
<A =73
Find the distance between the points P and Q shown.
The distance between points P and Q is √73
How to find the distance between the two points?First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:
distance = √( (a - c)² + (b - d)²)
Here we can see that the coordinates of the two shown points are:
P = (-3, 2)
Q = (5, -1)
Replacing that in the distance formula we will get:
distance = √( (-3 - 5)² + (2 + 1)²)
distance = √( (-8)² + (3)²)
distance = √73
So the correct option is the third one.
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Medallia calculates and publishes various statistics concerning car quality. The dependability score measures problems experienced during the past 12 months by the owners of vehicles. Toyota had 1.02 problems per car. If you had purchased a Toyota model, what is the probability that in the past 12 months the car had. in excel
Answer:
Hence the answers are,
a) Probability that in the past 12 months the car had more than one problem = P(X > 1) is 0.2716.
b) The Probability that in the past 12 months the car had almost two problems = P( X < 2) is 0.9160.
c) The Probability that in the past 12 months the car had zero problems = P(X= 0 ) is 0.3606.
Step-by-step explanation:
Let's take X to be the number of problems per car.
By considering the given statement, X follows a Poisson Distribution with Mean (X) = 1.02.
The Poisson probability formula is :
e Pr( X = k) = e- k! k= 0,1,2...
a)
The Probability that in the past 12 months the car had more than one problem = P(X > 1)
\(P(X > 1) =1- P(X < 1) \\\\=1- (P(X = 0) + P(X = 1)-1.021.02 e + 1.021.02 =1-6 0!\\= 1-0.3606 + 0.3678\\= 1-0.7284\\= 0.2716\)
b)
The Probability that in the past 12 months the car had almost two problems = PX < 2)
\(Pr(X < 2) = Pr(X = i) = Pr(X = 0) + Pr(X = 1) + Pr(X = 2)\\-1.021.020 -1.021.02 -1.021.02 e e + e + 0! 1! 2!\\= 0.3606 + 0.3678 + 0.1876\\= 0.9160\)
c)
The Probability that in the past 12 months the car had zero problems = P(X= 0 )
\(- 1.021.02 e 0!\\= 0.3606\)
A report included the following information on the heights (in.) for non-Hispanic white females.
Sample Sample Std. Error
Age Size Mean Mean
20–39 868 65.9 0.09
60 and older 934 64.3 0.11
(a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use μ20–39 − μ60 and older.) , Interpret the interval
(b) Let μ1 denote the population mean height for those aged 20–39 and μ2 denote the population mean height for those aged 60 and older. Interpret the hypotheses H0: μ1 − μ2 = 1 and Ha: μ1 − μ2 > 1.
Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
(c) Based on the P-value calculated in (b) would you reject the null hypothesis at any reasonable significance level? Explain your reasoning.
(d) What hypotheses would be appropriate if μ1 referred to the older age group, μ2 to the younger age group, and you wanted to see if there was compelling evidence for concluding that the population mean height for younger women exceeded that for older women by more than 1 in.?
Following are the solution to the given points:
In point a:
When 95% are confidence interval:
\(=( \mu_{20-39} - \mu_{60})+(-z_{0.025})((0.09)^2+(0.11)^2)^{0.5} \\\\= (65.9-64.3)+(-1.96) \times 0.14213\\\\=(1.3214, 1.8786)\)
In point b:
\(H_0: \mu_1 - \mu_2 =1\\\\ H_a: \mu_1 - \mu_2 > 1\)
In the Z test statistic:
\(= \frac{((65.9-64.3)-1)}{((0.09)^2+(0.11)^2)^{0.5}} \\\\= 4.22 \\\\\to p= 0.000012\)
In point c:
The rejection value of the null hypothesis as \(p< 0.001\)
In point d:
\(H_0: \mu_2 -\mu_1 = 1 \\\\H_a: \mu_2 - \mu_1 > 1\)
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A taxicab charges $1.50 for the flat fee and $0.50 for each mile. Write an inequality to determine how many miles Sharon can travel if she has $25 to spend.
A bag contains 1 green, 4 red, and 5 yellow balls. Two balls are selected at random. Find P(1 red and 1 yellow).
Answer:
1/5
Step-by-step explanation:
Answer:4/9
Step-by-step explanation:
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Which of the following are geometric sequences? Select all correct answers.
Answer:
A, B, E
Step-by-step explanation:
Notice that A, B, and E all maintain their common ratios, while C and D do not.
-9.2 + 4.4=
-81.4 + (-12)=
Answer:
-9.2 + 4.4 = -4.8
-81.4 + (-12) = -93.4.
Sets A,B , and C are subsets of the universal set U.
These sets are defined as follows.
U= {f,g,h,p.q.r.x.y.z}
A={f,h,p.q.r}
B={q,r,y,z}
C={g,h,p,q,y}
Find (B' U A) ∩ C.
Write your answer in roster form or as Ø.
\(B'=\{f,g,h,p,x\}\\B'\cup A=\{f,g,h,p,q,r,x\}\\(B'\cup A)\cap C=\{g,h,p,q\}\)
Find the distance Between points (3,7) and (-3,4).
Answer:
the distance is 3√5 !
Step-by-step explanation:
Answer:
Since the points form a triangle, you can use Pythagorean theorem to solve this.
Side A is 3 Units, and side B is 6. The letters do not matter when corresponding them to the sides.
So Pyth Theorem = a^2 + b^2 = c^2
And c^2 is the distance we must find
So a^2 = 9
b^2 = 36
So 36 + 9 = 45
To find C, you must root c^2
So sqrt of 45 is 6.7
The distance between points (3,7) and (-3,4) is 6.7 units.
Soan made a $400 down payment on a washer and dryer cost a total of $1200. What is the ratio of the amount soan has paid to the amount he still owes?
Answer:
800:1200 or 2:3
Step-by-step explanation:
400 payed
1200 in total
1200-400=800
800:1200 or 2:3
If Andrea spends 1¾ hours per day training for a marathon and she trains 5 days per week, how many hours does Andrea train for the marathon in 10 weeks?
Answ and she trains 5 days per week, how many hours does Andrea train for the marather:
StIf Andrea spends 1¾ hours per day training for a marathon and she trains 5 days per week, how many ep-by-step explanation:
Can someone help me with question 1 and 2 please
Write dowm the complementely angle of 80° show all your working
Answer:
10
Step-by-step explanation:
Complementary angles add to 90 degrees
x+80=90
x=10
Answer:
10°
Step-by-step explanation:
The measures of complementary angles add to 90 deg.
Let x be the measure of the complementary angle.
x + 80 = 90
Subtract 80 from both sides.
x = 10
Answer: 10°
Order the values from least (on top) to greatest (on bottom).
64%
0.65
5/8
Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%
5/8
64%
0.65