Answer:
Rate of change= 1/3
Initial value = -4
Step-by-step explanation:
The rate of change is rise/run = 1/3.
the initial value is the y-intercept which is -4.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }[/tex]
now as far as the "initial value", dunno what that means.
The start of the line? well, the line by definition goes to infinity both ways.
the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).
Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollars.
0.8d (yes or no)
d – 0.2 (yes or no)
d – 0.2d (yes or no)
1 – 0.2d (yes or no)
Can y’all help me on question 12?!
Answer:
C)
Step-by-step explanation:
5 x 3 = 15
15 + 6 = 21
Your answear is C
Answer:
C,D, and F should be the correct answers.
Step-by-step explanation:
C. 5(3)= 15+6=21
D. 7(3)= 21-2=19
F. 5(3)=15
A farmer feeds a cow 9300 milligrams of an antibiotic. Every hour, 50% of the drug breaks down in the cow's body. How much will be left in 6 hours?
9514 1404 393
Answer:
about 145.3 mg
Step-by-step explanation:
If half breaks down in the hour, then half remains. That is, each hour the amount remaining is multiplied by 1/2. The remainder after 6 hours is ...
(9300 mg)(1/2)^6 = 145.3125 gm
About 145.3 mg will be left after 6 hours.
Solve: S=2(lw+lw+wh) for w
Answer:
[tex]w=\frac{s-2lh}{2(h+l)}[/tex]
Step-by-step explanation:
Given the equation, [tex]S=2(lw+lh+wh)[/tex], solve for w.
[tex]S=2(lw+lh+wh)[/tex], distribute the 2.
=> [tex]S=2lw+2lh+2wh[/tex], subtract [tex]2lh[/tex] from both sides.
=> [tex]S-2lh=2lw+2wh[/tex], factor out a [tex]w[/tex] from the right-hand-side.
=> [tex]S-2lh=w(2l+2h)[/tex], now divide [tex](2l+2h)[/tex] from each side.
=>[tex]\frac{S-2lh}{2l+2h}=w[/tex]
Final answer: [tex]w=\frac{s-2lh}{2(h+l)}[/tex]
Find x, mKJL, and mKJM.
Answer:
x= 4
m∠KJL= 22
M∠KJM= 44
Step-by-step explanation:
i dont think u need explanation
Q.
Jim is buying a new front door for his house. What is the best estimate for the height of a door?
A) 7 inches
B) 7 yards
C) 7 feet
D) 70 feet
Answer:
The best estimate would be C. 7 ft
Step-by-step explanation:
This is more of a logical question. When you think about a door, 7 inches is out. 7 yards would be 21 ft and that is unusually tall for a door, as is 70 feet.
Tom's toy box is shown below. The toy box is shaped like a rectangular prism. It has 5 wooden faces and is open on the top. What is the risk surface area of the 5 faces of the toy box that are wooden?
Don’t answer if you don’t know, and whoever answers quickly will get Brainliest!
Answer:
1100 square inches
Step-by-step explanation:
The faces are all rectangles (area = length x width)
Area of bottom: 20 x 10 = 200
Area of front: 20 x 15 = 300
Area of back (same as front) = 300
Area of right side: 10 x 15 = 150
Area of left side (same as right side) = 150
Total of all the sides: 1100
Find the sum of the following series
a 1 + 4 + 7 + 10 + ... to 40 terms.
b. 2+7+12+17+ ... + 102.
Answer:
They are in A. P so the sum will be 2380
i need help pls i do not get it
The perimeter and the area of the fountain is calculated to be
94.25 feet and 625.32 square feet respectively
How to find the perimeter and the area of the fountainThe perimeter of the fountain consisting of two semicircles and a quarter circle is
= perimeter of semicircle * 2 + perimeter of circle * 1/4
= π d + 2 π r * 1/4
for semicircle, diameter, d = 20 ft
for circle, radius r, = 20 ft
substituting the values
= 20π + 2 * π * 20 * 1/4
= 20π + 10π
= 30π
= 94.25 feet
Area of the fountain
= area of semicircle * 2 + area of circle * 1/4
area of semicircle * 2 = area of circle of radius 10 ft
for semicircle, radius, r = 10 ft
for circle, radius r, = 20 ft
= π 10² + π 20² * 1/4
= 100π + 100π
= 200π
= 625.32 square feet
The area of the fountain is 625.32 square feet
Learn more about area of semicircle at:
https://brainly.com/question/15822332
#SPJ1
Five people each working eight hours a day can assemble 400 toys in a five day work week. What is the average number of toys assembled per hour per person?
Answer:
There are 5 people working and each person works 8 hours per day, so there are a total of 58 = <<58=40>>40 hours of work per day.
Over the course of the week, the total number of hours worked is 405 = <<405=200>>200 hours.
The total number of toys assembled is 400 and the total number of hours worked is 200, so the average number of toys assembled per hour per person is 400/200 = <<400/200=2>>2 toys per hour per person. Answer:{2}.
Step-by-step explanation:
‐3 + 4(a – 3b + 2) – 5(2 – a + 3b)
Answer: 15a – 12b – 5.
Step-by-step explanation: To solve this equation, we need to distribute the constants in front of the parentheses. Doing so, we get:
-3 + 4(a – 3b + 2) – 5(2 – a + 3b)
= -3 + 4a – 12b + 8 – 10 + 15a – 15b
= (15a – 12b) + (-10 + 8) – 3
= 15a – 12b + -2 – 3
= 15a – 12b – 5
Thus, the solution to the equation is 15a – 12b – 5.
PLEASE HELP! What is the sum of the geometric series?
Answer:
-2 is the answer of your question
hope it is helpful to you
A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and il will choose the other foods on the next trial with equal probabilities of 25%. If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?
Answer:
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Step-by-step explanation:
Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.
To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?
Proof -
By the given information, we get the stohastic matrix
[tex]H = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]
As we know that,
The matrix is a Markov chain [tex]x_{k+1} = Hx_{k}[/tex]
Let
The initial state vector be
[tex]x_{0} = \left[\begin{array}{ccc}1\\0\\0\end{array}\right][/tex]
we choose this initial vector because given that If the animal chooses food #1 on an initial trial.
Now,
[tex]x_{1} = Hx_{0} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}1\\0\\0\end{array}\right] \\= \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]
∴ we get
[tex]x_{1} = \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]
Now,
[tex]x_{2} = Hx_{1} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right] \\= \left[\begin{array}{ccc}0.25+0.0625+0.0625\\0.125+0.125+0.0625\\0.125+0.0625+0.125\end{array}\right]\\= \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]
∴ we get
[tex]x_{2} = \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]
∴ we get
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Find X and Y. can someone please help me with this question, thank you
3x + 120° + x + 120° = 360°
4x + 240° = 360°
4x = 120°
x = 30°
y = 1/2 (3x - x)
y = 1/2 (90° - 30°)
y = 1/2 × 60°
y = 30°
A right triangle has coordinates ( − 3 , 4 ) , ( 3 , 6 ) , and ( − 1 , − 2 ) . What is the area of the right triangle?
Answer: 20 sq units
Step-by-step explanation:
A quick sketch graph will show the right angle is at (-3 ,4)
The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)
Area = 1/2 x (sqrt(40))^2 = 20
If you didn’t have a right angle you could find the lengths of all sides a, b and c
Calculate the semi perimeter s = (a+b+c) / 2
And the area = sqrt(s(s-a)(s-b)(s-c))
Try and use this method to check the first one!
Karen grew a pumpkin that weighed 4.3 pounds for the competition at the
county fair. Nancy grew a pumpkin that weighed 5.2 pounds. Who grew the
largest pumpkin, Karen or Nancy?
A. Nancy
B. Karen
write the missing digits to make this addition correct
_2_+_2=200
Answer:
128 + 72 = 200
Step-by-step explanation:
Start from the ones. And go next to tens and last find the hundreds.
see image.
When the angle of elevation to the sun is 49°, Naomi's shadow is 5 feet long. The
shadow of a nearby tree is 8 times as long as her shadow. How tall is the tree to the
nearest foot?
Answer:
46 feet-------------------------------
The height h of the tree is opposite to 49° angle of a right triangle with the other leg:
5*8 = 40 feet longUse tangent to find the value of h:
tangent = opposite/adjacenttan 49° = h/40h = 40*tan 49°h = 46 feet (rounded)The height of the tree is 40 feet to the nearest foot.
How can the height of the tree be found?
It can be found using similar triangles.
Let's call the height of the tree "x".
Since the angle of elevation to the sun is 49°, we have two similar triangles:
Triangle 1: Sun - Naomi - Ground (illustration attached)
Triangle 2: Sun - Tree - Ground
The height of Naomi, 5 feet, is one of the corresponding sides in the two triangles, and the height of the tree, x feet, is the other. We know the ratio of their heights is 8:1, so:
x ÷ 5 = 8
Solving for x, we find that:
x = 40
So the height of the tree is 40 feet to the nearest foot.
To know more about similar triangle visit:
https://brainly.com/question/2644832
#SPJ1
Tom will create a password for his computer. The password must be a list of three different lowercase letters of the alphabet. How many passwords are possible?
how fast are you going if the bus youre on drives the 6km to school in 10 minutes
Answer:
22.38 mph
Step-by-step explanation:
6km=3.73 miles
3.73m in 10 min
10*6 =60 minutes = 1 hour
3.73*6 = 22.38
22.38 miles per hour
How many days are in 800 hrs? Round your answer to the nearest tenth.
Answer:
800 hrs = 33.3 days
Step-by-step explanation:
1 day = 24 hours
800 hours = 800/24 = 33.33
Round to the nearest tenth:
33.3 days
Which cube root function is always decreasing as x increases?
O f(x) = }X-8
O f(x) = 77-5
*(x) = }}-(5-8)
O f(x) = -7/8+5
Help me please don’t send links geez
Answer:
C
Step-by-step explanation:
Please do 1. and 2.! 25 points, please need asap!
Step-by-step explanation:
1
We can see that RS divides ∆PQS into two equal parts
So,
PR = RQ
Therefore
RQ = 5.1
Now
PQ = PR + RQ
=> PQ = 5.1 + 5.1
=> PQ = 10.2
2
Here
KM is the angle bisector
So
JM = ML
JM = 46
Find a line that passes through the points (-1,3) and (5,-1)
y2-y1/x2-x1
= (-1-3)/(5+1)
= -4/6
= -2/3
y = -(2/3)x + c
3 = (2/3) + c
c = -2/3 + 3
c = -2/3 + 9/3
c = -7/3
y = (2/3)x + (7/3)
WILL MARK BRAINLIEST!
Given: Parallelogram ABCD, calculate the length of AD
A new car loan has a term of loan from 2 - 6 years and the interest rate is between 4% and 8%. what is the longest amount of time you could take to pay off the loan? what is the best interest rate you could get?
a) The longest time a borrower can take to pay off the new car loan of 2 - 6 years is 6 years.
b) Based on the above, the best interest rate the borrower could get is 8%.
How is the interest rate determined?Many factors are considered in determining the interest rate for a loan.
Some of the factors include:
Loan TermLoan TypeCredit ScoreLoan AmountDown PaymentInterest rate type.We know that the longer the term of a loan, the higher the interest rate charged. This higher rate is meant to compensate the lender for the time value of money, made variable by inflation and credit risks.
Thus, if a loan term varies between two and six years, the longest time to pay off the loan is 6 years while the best interest rate the borrower can be granted is 8%.
Learn more about loan terms and interest rates at https://brainly.com/question/11686424
#SPJ1
You pay $5500 for a municipal bond. When it matures after 20 years, you receive 11,900$. What % is your total return?
There are 8 boxes of erasers in the supply closet. Each box contains 9 erasers. How many erasers are there in all?
Answer:
each box contain 8 x 9 = 72
Can someone please help me With explanation please ty
Answer:
Basically asking you which two numbers multiplied together is 20. Keep in mind this is a triangle so you'll need to divide the product by 2. In this case, it would be C.4 and 10
4 time 10 is 40
40/2 = 20
Step-by-step explanation:
A business school wants to compare a new method of teaching reading to slow learners to the current standard method. They decide to base this comparison on the results of a reading teat given at the end of a learning period of six months. Of a random sample of 11 slow learners. 5 are taught by the new method and 6 are taught by the standard method. All 11 children are taught by qualified instructors under similar conditions for a six month period. Assume that the populations are normally distributed and the population variances are equal.
New Method Score: 81 80 79 81 76
Standard Method Score: 69 68 71 68 73 72
Test at 1% level of significance that the new method is worse than the old method, i.e., average score obtained by the new method is less than the average score obtained by the standard method. Compute the mean and standard deviation of each data set.
State the null and the alternative hypotheses.
H0:
H1:
Write down the formula of the test statistics and find its value.
Determine the rejection region and make a decision.
Make a conclusion in the context of the problem.
Answer:
Kindly check explanation
Step-by-step explanation:
New Method : 81 80 79 81 76
Standard Method Score: 69 68 71 68 73 72
H0 : μn = μa
H0 : μn < μa
New Method :
Using a calculator :
Sample size, n1 = 5
Mean, x1 = 79.40
Standard deviation, s1 = 2.07
Standard Method :
Using a calculator :
Mean, x2 = 70.17
Sample size, n2 = 6
Standard deviation, s2 = 2.14
T = (x1 - x2) / √(s1²/n1 + s2²/n)
(x1 - x1) = (79.40 - 70.17) =79.40 -= 9.23
√(s1²/n1 + s2²/n2) = √(2.07²/5) + 2.14²/6) = 1.2729
T = (x1 - x2) / √(s1²/n1 + s2²/n)
T = 9.23 / 1.2729
Test statistic = 7.25
The Pvalue from Tscore at, smaller n - 1 = 5 - 1 = 4
Pvalue = 0.000961
Decision region :
If Pvalue < α ; Reject H0 ; otherwise fail to reject H0
α = 0.01
Since, Pvalue < α ; We reject H0 ; and conclude that new method is worse rhn the old.
`