A line passes through the points (-5,-6) (-4,-4) write An equation for the line in point slope form
Answers
Answer: y+4=2(x+4)
Step-by-step explanation:
Related Questions
Pleas answer it in two minutes
Answers
Answer:
61 miles
Step-by-step explanation:
The two triangles are congruent so GF is congruent to PN.
PN = 61
Please help me please
Answers
All the values are,
a) lim x → 3 [ 2 f (x) - g (x)] = 18
b) lim x → 3 [ 2 g (x) ]² = 16
c) lim x → 3 [ ∛ f (x) / g (x) ] + lim x → 3 [ 4 h (x) / x + 7 ] = - 1
We have to given that;
Limits are,
lim x → 3 f (x) = 8
lim x → 3 g (x) = - 2
lim x → 3 h (x) = 0
Now, We can simplify all the limits as;
1) lim x → 3 [ 2 f (x) - g (x)]
⇒ lim x → 3 [ 2 f (x)] - lim x → 3 [ g (x) ]
⇒ 2 lim x → 3 [ f (x) ] - (- 2)
⇒ 2 × 8 + 2
⇒ 16 + 2
⇒ 18
2) lim x → 3 [ 2 g (x) ]²
⇒ 4 [ lim x → 3 g (x) ]²
⇒ 4 × (- 2)²
⇒ 4 × 4
⇒ 16
3) lim x → 3 [ ∛ f (x) / g (x) ] + lim x → 3 [ 4 h (x) / x + 7 ]
⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)
⇒ - 2/2 + 0
⇒ - 1
To learn more about limit visit:
https://brainly.com/question/7446469
#SPJ1
Suppose you are charged a $10 per month base charge for your electrical service. You are also charged an additional $0.08 for every kwh of electricity you use. The cost is an example of a mixed cost. variable cost. fixed cost. step cost.
Answers
The cost described in the scenario is an example of a mixed cost.
A mixed cost consists of both fixed and variable components. In this case, the $10 per month base charge represents the fixed component of the cost. This charge remains constant regardless of the amount of electricity consumed. It covers the basic service and is not influenced by usage levels.
On the other hand, the additional charge of $0.08 per kilowatt-hour (kWh) of electricity used represents the variable component. This charge varies directly with the amount of electricity consumed. As more electricity is used, the variable cost increases proportionally.
By combining the fixed base charge and the variable charge per kWh, we get a mixed cost structure. The fixed component ensures a minimum cost for the service, while the variable component adds to the total cost based on actual usage. This combination of fixed and variable elements makes the cost a mixed cost.
Learn more about mixed cost here:
https://brainly.com/question/33097481
#SPJ11
Which of the following numbers is not a solution of 6x-11>=4x-13?
a. -2
b. -1
c. 0
d. 1
Answers
The number that is not a solution of the inequality
6x - 11 ≥ 4x - 13
Is x = -2, option a.
Which number is not a solution of the inequality?We want to see which of the given numbers is not a solution of the inequality below:
6x - 11 ≥ 4x - 13
To check that, we just need to evaluate the inequality in the given values and see for which value we have a false inequality.
For example, from the first value we will get:
x = -2
6*-2 - 11 ≥ 4*-2 - 13
-12 -11 ≥ -8 - 13
-23 ≥ -21
This is false, thus this is the correct option.
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
Granny has taken up deep-sea fishing! Last week, she caught a fish so big that she had to cut it into 3 pieces (head, body and tail) in order to weigh it. The tail weighed 9kg and the head weighed the same as the tail plus one third of the body. The body weighed as much as the head and tail together. How much did the whole fish weigh?
Answers
Answer:
54kg
Step-by-step explanation:
Body weight = B
Tail weight = T
Head weight = H
Total weight = F
Use equation = B + T + H = F
We are told that T = 9kg, H = T + (1/3) x B, B = H + T
We have 3 equations and 3 unknowns, solve the system of equations to find W.
B = H + 9
H = 9 + 1/3 x (H+9)=9+H/3+3 --> 2/3 x H = 12 --> H = 18
B = 18 + 9 = 27
F = 18 + 27 + 9 = 54kg
the variables r and s are inversely proportional, and r=7 when s=6. determine s when r=10.
Answers
If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .
When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :
⇒ r × s = k, where k is a constant ;
the value of variable "r" = 7 when s = 6,
First , we have to find the value of k:
⇒ k = r × s = 7 × 6 = 42 ;
So, for any value of r and s, the product "rs" will always be equal to 42.
When r = 10, we can use the equation to find s:
⇒ s = k/r = 42/10 = 4.2
Therefore , when r = 10 , the variable "s" is 4.2.
Learn more about Proportionality here
https://brainly.com/question/599120
#SPJ4
which of the following statements about mathematics teaching in elementary schools is true?
Answers
Mathematics is a fundamental subject in education that is essential in the development of an individual’s critical thinking and problem-solving skills. It is one of the primary subjects that are taught in elementary schools and must be taught appropriately for children to understand and gain the required skills. One true statement about mathematics teaching in elementary schools is that it should be student-centered.
Teachers should focus on the child's understanding, individual learning abilities and styles, and progress.The learning experience should not be centered on the teacher but on the students. Teachers should also make the subject engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject. Besides, teachers should develop a personalized learning approach that allows students to learn and understand the subject at their own pace while creating opportunities for individual and group learning. Through such learning approaches, students can develop the required mathematical concepts and competencies such as critical thinking, problem-solving, and decision-making skills that will be beneficial in their future endeavors.
In elementary schools, mathematics teaching should be student-centered. It should be engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject.
To know more about Mathematics visit:-
https://brainly.com/question/27235369
#SPJ11
A game is considered "fair" if the player can expect to win $0.
Which is a fair game?
A Game A
cost to play: $1
prize: $5
probability of winning: 0.2
Game C
cost to play: $3
prize: $20
probability of winning: 0.1
B Game B
cost to play: $2
prize: $10
probability of winning: 0.3
Game D
cost to play: $4
prize: $10
probability of winning: 0.5
Answers
Answer:
eeuu
Step-by-step explanation:
dijud
cost to play: $4
prize: $10
probability of winning: 0.5
Step-by-step explanation:
Inverses, contrapositives and converses. Below are examples of mathematical statements you’ll encounter in this class. Assume x, y, a, b, c are integers.
If the difference x − y is even then x and y are also even.
If a divides b or a divides c then a divides bc. (Note: a divides b means that the fraction b/a is an integer. For example, 3 divides 6 but 3 does not divide 7.)
If x2 ≥ 100 and x ≥ 0, then x ≥ 10.
(i) (9 pts.) State the inverse, contrapositive and converse of each statement above. When possible, avoid using the word "not." Instead, replace "not even" with "odd", etc.
Recall that for P → Q,
contrapositive: ¬Q →¬P
converse: Q → P
inverse: ¬(P → Q) = ¬(¬P ∨ Q) = P ∧ ¬Q
(ii) (3 pts.) Then indicate their truth values. Thus, for each statement you must determine whether the statement itself, its inverse, contrapositive and converse are true or false. That’s four true/false answers for each statement.
Answers
1. Statement: True
Inverse: True
Contrapositive: True
Converse: True
2. Statement: True
Inverse: True
Contrapositive: True
Converse: True
3. Statement: True
Inverse: True
Contrapositive: True
Converse: True
(i)
Statement: If the difference x - y is even, then x and y are also even.
Inverse: If x and y are not even, then the difference x - y is not even.
Contrapositive: If x and y are not even, then the difference x - y is not even.
Converse: If x and y are even, then the difference x - y is even.
Statement: If a divides b or a divides c, then a divides bc.
Inverse: If a does not divide b and a does not divide c, then a does not divide bc.
Contrapositive: If a does not divide b and a does not divide c, then a does not divide bc.
Converse: If a divides bc, then a divides b or a divides c.
Statement: If x^2 ≥ 100 and x ≥ 0, then x ≥ 10.
Inverse: If x^2 < 100 or x < 0, then x < 10.
Contrapositive: If x^2 < 100 or x < 0, then x < 10.
Converse: If x ≥ 10, then x^2 ≥ 100.
(ii)
For each statement, we need to evaluate the truth values of the statement, inverse, contrapositive, and converse.
Statement: True
Inverse: True
Contrapositive: True
Converse: True
Statement: True
Inverse: True
Contrapositive: True
Converse: True
Statement: True
Inverse: True
Contrapositive: True
Converse: True
Learn more about statement from
https://brainly.com/question/24126971
#SPJ11
. in a class, there are twelve freshmen boys, sixteen freshmen girls, and nine sophomore boys. how many sophomore girls must be present if gender and class are to be independent when a student is selected at random? (1 points)
Answers
Using property of independent events, there should be 12 sophomore girls present in the class.
Independent Events -
If the occurrence of one event has no bearing on the likelihood that the other will also occur, then the two events are independent. The likelihood that both occurrences A and B will occur is defined mathematically as being equal to the product of the probabilities of A and B (i.e., P) (A and B)
Given,
There are twelve freshmen boys, sixteen freshmen girls, and nine sophomore boys
and two events are independent if,
p(A ∩ B) = P(A). P(B)
Let sophomore girls present = x
Freshmen sophomore Total
Boys 12 9 21
Girls 16 x 16 + x
Total 28 9 + x 37 + x
P(Boys) = \(\frac{21}{37 + x}\)
P(Freshmen) = \(\frac{28}{37 + x}\)
P(Boys ∩ Freshmen) = \(\frac{12}{37 + x}\)
Using p(A ∩ B) = P(A). P(B),
\(\frac{12}{37 + x} = \frac{21}{37 + x} \times \frac{28}{37 + x}\)
\(12(37 + x) = 21 \times 28\\x = 12\)
To learn more about independent events from given link
https://brainly.com/question/27665211
#SPJ1
Can someone help with me
Answers
Answer:
yes your answer is 45 degree
Answer:
105°
Step-by-step explanation:
There 360° in a circle, so...
360°-150°-105°=105°
check: 150°+105°+105°= 360°
[Answer] 105°
Which equation is correctly represented by the following graph?54321-5 -4 -3 -2 -12 34 5---24-5y = 2.5%Ox=25None of the other answers are correcty=25ox=2.51
Answers
The answer is x = 2.5
becuase the
Find the value of n and WX if W is between X and Y, WX=6n-10, XY=17, and WY=3n
Answers
Answer:
n = 3
Step-by-step explanation:
It is given that W is between X and Y. It means,
WX = WY
or
XY = WX+WY
We have, WX=6n-10, XY=17, and WY=3n
So,
17= 6n-10+3n
Adding both sides 10
17+10= 6n-10+3n+10
27=9n
n = 3
Hence, the value of n is 3.
Calculate the area of the triangle? What is the best way to solve it
Answers
Answer: Find the the height and length of the triangle. I'm not sure what it would be but then use a1 + a2 to find the area
Answer:
Formula of triangle: A = 1/2 x b x h
Step-by-step explanation:
Solve the base of the triangle by solving the distance between points (-2,0) and (f, -5) in units, and then do the same for height: find distance between points (-2, 6) and (-2, 0). Once you find the distance, input value of base and height into the formula and solve to get the area!
a survey conducted by the american automobile association (aaa) showed that a family of four spends an average of per day while on vacation. suppose a sample of families of four vacationing at niagara falls resulted in a sample mean of per day and a sample standard deviation of .a. develop a confidence interval estimate of the mean amount spent per day by a family of four visiting niagara falls (to decimals).$ to $b. based on the confidence interval from part (a), does it appear that the population mean amount spent per day by families visiting niagara falls differs from the mean reported by the american automobile association? explain.no. the lower limit for the confidence interval for the population mean at niagara falls is greater than overall average daily vacation expenditure of $ per day. this suggests we cannot determine if the population mean at niagara falls is greater than the overall average daily vacation expenditure.yes. the upper limit for the confidence interval for the population mean at niagara falls is less than overall average daily vacation expenditure of $ per day. this suggests the population mean at niagara falls is less than the overall average.yes. the lower limit for the confidence interval for the population mean at niagara falls is greater than overall average daily vacation expenditure of $ per day. this suggests the population mean at niagara falls is greater than the overall average.no. the overall average daily vacation expenditure of $ per day is between the upper and lower limits of the confidence interval for the population mean at niagara falls. this suggests we cannot determine if the population mean at niagara falls is greater than the overall average daily vacation expenditure.- select your answer -
Answers
a. Sample standard deviation of $13.19 as an estimate of the population standard deviation. b. The population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.
a. The confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($132.89, $155.11) to two decimals.
To calculate the confidence interval, we use the formula:
CI = sample mean ± (z-score)(standard deviation / √sample size)
where the z-score is based on the desired level of confidence. For a 95% confidence level, the z-score is 1.96.
Plugging in the given values, we get:
CI = $144 ± (1.96)($13.19 / √n)
where n is the sample size. We are not given the sample size in this question, so we cannot calculate the exact interval. However, we can use the given sample standard deviation of $13.19 as an estimate of the population standard deviation.
So, CI = $144 ± (1.96)($13.19 / √n) = ($132.89, $155.11) to two decimals.
b. No, we cannot determine if the population mean at Niagara Falls differs from the mean reported by the American Automobile Association. The confidence interval includes the mean reported by the AAA, which was not significantly different from the sample mean. We can only say that the population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.
Learn more about population here
https://brainly.com/question/25630111
#SPJ11
Which of the equations shown have infinitely many solutions? Select all that apply.
Answers
Answer:
Where is the answer choices?
Step-by-step explanation:
Answer:
A, B, D
Step-by-step explanation:
A right triangle has a leg of 17 cm and a hypotenuse of 25 cm. What is the length of the other leg? Round to the nearest tenth.
Answers
Answer:
18.3
Step-by-step explanation:
Pythagorean Theorem = a^2 + b^2 = c^2
a, b = legs
c = hypotenuse
17^2 + b^2 = 25^2
b = 18.3
Describe the error in finding the length of AB .
Should have taken the absolute value.
Should have measured to hundredths.
Should have lined up ruler starting at 0.
Should have subtracted 5.5 instead of 4.5.
The actual length of the segment is {Blank}
centimeters.
Answers
Answer:
Should have taken the absolute value
Actual length = 3.5 centimeters
Step-by-step explanation:
Length is always a positive value or zero
So one should take the absolute value which is always positive
|-3.5| = 3.5 where the | | denotes absolute value of what is enclosed
A coach throws a football from a height of 4 feet with an initial velocity of 59 feet per second at an elevation angle of 45°. Which parametric equations represent the path of the football?
A. x(t) = 59sin(45°)t and y(t) = –16t^2 + 59cos(45°)t
B. x(t) = 59cos(45°)t and y(t) = –16t^2 + 59sin(45°)t
C. x(t) = 59cos(45°)t and y(t) = –16t^2 + 59sin(45°)t + 4
D. x(t) = 59sin(45°)t and y(t) = –16t^2 + 59sin(45°)t + 4
Answer is C. Add an answer so it won't be archived!
Answers
Answer:
C
Step-by-step explanation:
Ale needs to go to the doctor's office on Tuesday. The doctor is open between 8:00 a.m. and 6:00 p.m. Create a compound inequality showing the times that he could go to the doctor
Answers
The compound inequality which can be used to represent times that he could go to the doctor is 8 am ≤ x ≤ 6 pm
Compound inequalityLess than <Greater than >Equal to =Less than equal to ≤Greater than equal to ≥Time the doctor open = 8:00 a.m. and 6:00 p.m
Time Ale can visit the doctor = x
8 am ≤ x ≤ 6 pm
This means Ale can visit the doctor on or before 8 am and lest than equal to 6 pm
Therefore, the compound inequality which can be used to represent times that he could go to the doctor is 8 am ≤ x ≤ 6 pm
Learn more about compound inequality:
https://brainly.com/question/234674
#SPJ1
Consider the exponential equation: 2^(x - 8) - 6 = 41) Convert the exponential equation into logarithmic form.A) x + 8 = log2(10)B) x + 8 = log10(2)C) x - 8 = log2(10)D) x - 8 = log10(2)2) Solve the equation for x using logarithmic form.A) x = In(2)/In(10) + 8B) x = In(10)/In(2) + 8C) x = In(2)/In(10) - 8D) x = In(10)/In(2) - 8
Answers
(a) The correct option is C
\(x-8=\log _210\)(b) The correct option is B
\(x=\frac{\log10}{\log2}+8\)Explanation:Given the expression:
\(2^{(x-8)}-6=4\)To write this in logarithmic form, we first add 6 to both sides of the equation
\(\begin{gathered} 2^{(x-8)}=4+6=10^{} \\ 2^{(x-8)}=10 \\ \text{This means} \\ x-8=\log _210 \end{gathered}\)From
\(2^{(x-8)}=10\)Take logarithm of both sides
\(\begin{gathered} \log 2^{(x-8)}=\log 10 \\ (x-8)\log 2=\log 10 \\ x-8=\frac{\log10}{\log2} \\ \\ x=\frac{\log 10}{\log 2}+8 \end{gathered}\)The Quetion of the following line is
Answers:
Y=-3x+4.5
Y=4/5+3
X=3
Y=3x+4.5
Answers
Answer:
None of the answers look correct. It should be y = -4/5 + 3, and I see no negative 4/5.
The answer isn’t there
Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.
Answers
The first four-term of the sequence is found by the given equation \(a_{n-1} = 4a_n\) is given as 144, 36, 9, and 9/4.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The given equation will be
\(\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n\)
And
\(a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}\)
For n = 4, we have
\(\rm a_{4-1} = 4a_4\\\\a_3 \ \ \ = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9\)
For n = 3, we have
\(\rm a_{3-1} = 4a_3\\\\a_2 \ \ \ = 4*9 \\\\ a_2 \ \ \ = 36\)
For n = 2, we have
\(\rm a_{2-1} = 4a_2\\\\a_1 \ \ \ = 4*36 \\\\ a_1 \ \ \ = 144\)
More about the sequence link is given below.
https://brainly.com/question/21961097
Answer:
144
36
9
Step-by-step explanat
List all the permutations of four objects m, I, n, and k taken two at a time without repetition. What is P? List all the permutations of four objects m, I, n, and k taken two at a time without repetition. Choose the correct answer below. O A. m, mn, mk, In, lk, nk OB. ml, mn, mk, Im, in, lk, nm, nl, nk, km, kl, kn OC. m. I, n,k OD. mm, ml, mn, mk, II, In, lk, nn, nk, kk What is P2?
Answers
The permutations of four objects m, I, n, and k taken two at a time without repetition are: mn, mk, mi, nm, nk, ni, km, kn, ki, in, im, ik.
P is the total number of permutations, which is equal to 12.
The correct answer is OB, which lists all 12 permutations.
P2 is the number of permutations taken two at a time with repetition allowed. This means that we can repeat the same object in a permutation.
There are 16 possible permutations with repetition allowed: mm, ml, mn, mk, ll, ln, lk, nn, nk, kk, ii, ik, nn, ni, nk.
Therefore, P2 is equal to 16.
Learn more about permutations here:
https://brainly.com/question/30649574
#SPJ11
Emma has been training for a bike race. She recorded her training times in the table below
Emma believes that if her average speed is above 15 miles per hour, then she has a good
chance of winning the race. On which day(s) was Emma's average speed over 15 miles per
hour?
Answers
Emma's average speed was above 15 miles per hour on Day 2 and Day 4.
To determine Emma's average speed for each day, we need to divide the total distance by the time it took her to complete that distance. Using the table provided, we can calculate Emma's average speed for each day as follows:
Day 1: Average speed = 10 miles ÷ 1 hour = 10 miles per hour
Day 2: Average speed = 20 miles ÷ 1.5 hours = 13.33 miles per hour
Day 3: Average speed = 15 miles ÷ 1.5 hours = 10 miles per hour
Day 4: Average speed = 25 miles ÷ 1.75 hours = 14.29 miles per hour
Day 5: Average speed = 18 miles ÷ 2 hours = 9 miles per hour
Therefore, Emma's average speed was above 15 miles per hour on Day 2 and Day 4.
Learn more about average speed: https://brainly.com/question/12322912
#SPJ11
What is the length of AC?
Answers
Answer:
b
Step-by-step explanation:
Answer:
136
Step-by-step explanation:
triangles CAB and CED are similar, their sides are proportional
set up a proportion:
\(\frac{51}{144-x}\) = \(\frac{3}{x}\)
cross-multiply: 51x = 3(144 - x)
51x = 432 - 3x
54x = 432
x = 8
Plug in:
144 - 8 = 136
HELP ASAP!!
the two rectangular prisms shown have bases with the same area. Which statement is true?
Answers
4 x6 is 24
They are similar
That’s really all you need to know.
Hope this helps!
- Pam Pam
Answer: It is B
Step-by-step explanation:
The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is
a. Estimate the average GPA for those with verbal SAT scores of 600.
b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.
c. For two students whose verbal SAT scores differ by 100 points, what is the estimated difference in college GPAs?
d. Explain whether the intercept has any useful interpretation in the relationship between GPA and verbal SAT score. Keep in mind that the lowest possible verbal SAT score is 200.
Answers
(a) The GPA for those with verbal SAT scores of 600 is: 3.097
(b) The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score
a. Estimate the average GPA for those with verbal SAT scores of 600.
The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is y = 0.275 + 0.00362x.
The GPA for those with verbal SAT scores of 600 is:
y = 0.275 + 0.00362(600)
= 3.097
b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.
The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score
Know more about SAT scores here:
https://brainly.com/question/16844356
#SPJ11
PLEASE HURRY
The number of points Darin scores in a basketball game can be found using the expression 3s + 2t + u, where s is the number of three-point field goals made, t is the number of two-point field goals made, and u is the number of free throws made.
How many points did Darin score in a game where he made 2 three-point field goals, 5 two-point field goals, and 3 free throws?
A. 16
B. 19
C. 22
D. 25
Answers
Answer:
Option B - Darin scores in a basketball game is 19 Points
Step-by-step explanation:
Darin scores in a basketball game = 3s + 2t + u
where s is the number of three-point field goals made,
t is the number of two-point field goals made,
u is the number of free throws made.
Darin scores in a basketball game = 3(2) + 2(5) + 3
= 6 + 10 + 3
= 19 Points
Hope this helps!
Write an equation for the description.
A number x increased by 12 is 120.
Answers
Answer:
x+12=120
Step-by-step explanation:
Answer:
118
Step-by-step explanation:
just do 120 - 12=118
x+12=120
x=118
HOPE THIS HELPS!!