Answer:
The equations for each situation are
A = 36 + 6t
B = 21 + 9t
After 3 years, Tree A is taller.
Step-by-step explanation:
From the question,
Tree A was 36 inches tall and Tree B was 21 inches tall at the time of planting; and
Tree A grew by 6 inches per year and Tree B grew by 9 inches per year after planting.
For Tree A,
Given a period of t years after planting, the height would have increased by 6t
∴ A = 36 + 6t
For Tree B,
Given a period of t years after planting, the height would have increased by 9t
∴ B = 21 + 9t
To determine, which tree is taller after 3 years,
t = 3
For Tree A
A = 36 + 6t
A = 36 + 6(3)
A = 36 + 18
A = 54 inches
For Tree B
B = 21 + 9t
B = 21 + 9(3)
B = 21 + 27
B = 48 inches
Hence, After 3 years, Tree A is taller.
1/3 is equivalent to what percent
Answer: 33.33%
Step-by-step explanation:
Answer:
33.3333...%
Step-by-step explanation:
33 x 3 = 99.9999...
Express each of these statements using quantifiers. Then form the negation of the statement so that no negation is to the left of a quantifier. Next, express the negation in simple English. In each case, identify the domain and specify the predicates.
a. No one has lost more than one thousand dollars playing the lottery.
b. There is a student in this class who has chatted with exactly one other student.
c. No student in this class has sent e-mail to exactly two other students in this class.
d. One student has solved every exercise in this book.
e. No student has solved at least one exercise in every section of this book.
Answer and Step-by-step explanation:
Not p = ¬p
P or q = p ∨ q
P and q = p ∧ q
If p then q = p → q
P if and only if q = p ↔ q
Existential quantification: There exist an element x in the domain such that p(x).
Universal quantification: p(x) for all values of x in the domain.
(a) No one has lost more than one thousand dollars playing the lottery.
Let A(x) means ‘x has lost more than one dollars playing the lottery’
It can also write as “there does not exists a person that lost more than one thousand dollars playing”
¬Ǝ x A (x)
Negation of this statement:
By using double negation law:
¬ [¬Ǝ x A (x)] ≡ Ǝ x A(x)
(b) There is a student in this class who has chatted with exactly one other student.
Let B(x,y) means “ x has chatted with y” and domain is all students of this class.
We can write the given sentence as:
“There is a student in the class who has chatted with one student and this student is not himself and for all people the student chatted with, this student has to be himself or the one student he chatted with”
Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x,y) → ( z = x v z = y))]
The negation:
¬ Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
By using De Morgan’s law for quantifiers:
≡∀x ¬ Ǝ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
≡∀x ∀ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
De Morgan’s law:
≡∀x ∀ y [¬ B ( x, y) v ¬ ( x ≠ y) v ∀ z (B(x ,y) → ( z = x v z = y))]
By using De Morgan’s law for quantifiers:
≡∀x ∀ y [¬ B ( x, y) v x= y v Ǝ z¬ (B(x ,z) → ( z = x v z = y))]
(c) No student in this class has sent e-mail to exactly two other students in this class
Let c(x, y) means “ x has sent email to y” and the domain is all student of class.
Using double negation law:
Ǝ x Ǝ y Ǝ z [c(x, y) ∧c(x ,z) ∧ x≠ y ∧ x ≠z ∧ y ≠ z ∀ w (c(x,w) → ( w = x v w = y v w = z)]
There is a student in class that has sent email to exaxtly two other students in class.
(d) One student has solved every exercise in this book
Let D(x , y) mean student x has solved exercise y in this book.
The negation:
Ǝx∀yD(x,y)
Use De Morgan’s law for qualifiers:
≡∀ x Ǝ y ¬D(x, y)
(e). No student has solved at least one exercise in every section of this book.
Let E(x, y,z) be student x has solved exercise y in section z of this book.
We can write “there does not exist a student that solved at least one exercise in all sections of this book”
¬Ǝ x Ǝ y ∀ Z E(x, y, z)
Negation:
≡¬ [¬ Ǝ x Ǝ y ∀ Z E(x, y, z) ]
Use double negation law:
≡ Ǝ x Ǝ y ∀ Z E(x, y, z)
Which relationships have the same constant of proportionality between Y and as the equation Y=5/2 X
Answer:
I'm pretty sure it's 10/4 but I'm not totally sure
Answer:
on Khan the answer is B,C,E
Graphing combined functions! (25 points)
Step-by-step explanation:
toke a while to finish it, but there you go
cheers and have a good night :D
Thrice a number increased by 5 exceeds twice the number by 11 . Find the number.
Luis and Roberto are donating some of their baseball cards to the library. Luis started with 50
cards and gave away X number of them. Roberto started with 80 cards and gave away 3 times as
many as Luis had given away.
If they both now have the same number of baseball cards, how many baseball cards did Roberto
give away?
Answer:
X=15
Step-by-step explanation:
50−x=80−3x
Step 1: Simplify both sides of the equation.
50−x=80−3x
50+−x=80+−3x
−x+50=−3x+80
Step 2: Add 3x to both sides.
−x+50+3x=−3x+80+3x
2x+50=80
Step 3: Subtract 50 from both sides.
2x+50−50=80−50
2x=30
Step 4: Divide both sides by 2.
2x \2 = 30 \2
Answer:
x=15
-0.5x +12.5 = -X+18 can you please answer?
Answer:
x=110
Step-by-step explanation:
-.5x+12.5=-x+18
add x to -x to move it
then add 1x to -.5x to get .5
soo.....
.5x+25.5=18
the subtract 12.5 from both sides to get
.5x=5.5
then divide .5 from both sides to get
x=110
Which of the following describes the transformation from figure 1 to figure 2 shown on the graph below
Answer:
(x+5, y-2)
Step-by-step explanation:
Move right 5 units and moves down 2 units
HELP PLEASE BRAINLESS ANSWER GETS 20 POINTS
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an
equation that represents this situation is d-50t.
Enter the smaller of the two constants of proportionality.
Answer:
t=8
Step-by-step explanation:
400 divided by 50 hopefully that helps with your question
A person with a height of 2 meters stand near a tree. The tree casts a shadow that is 30 meters long and the person has a shadow that is 3
meters long. What is the height of tree
9514 1404 393
Answer:
20 m
Step-by-step explanation:
The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:
10(2 m) = 20 m . . . height of the tree
2 QUESTIONS: 1. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent? (picture included) 2. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent?
Answer:
Step-by-step explanation:
number one is SAS
1. B. ΔJKE ≅ ΔLYE because SAS.
2. E. No enough information to prove the triangles are congruent.
What is the SAS Theorem?The SAS theorem is a triangle congruence theorem which states that two triangles which have two pairs of corresponding sides that are congruent and a pair of corresponding included angles that are congruent are congruent triangles.
1. Based on the SAS theorem we can conclude that: B. ΔJKE ≅ ΔLYE because SAS.
2. In the triangles given, we are only given that they have two pairs of corresponding congruent sides. No known congruent sides were given. Therefore, we don't have enough information. The answer is: E. No enough information to prove the triangles are congruent.
Learn more about SAS theorem on:
https://brainly.com/question/2102943
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Suppose f(x)=2x−5 and g(x)=|−3x+1|. Find the value of f(x−2)
Answer:
2x-9
Step-by-step explanation:
f(x)=2x-5
to find f(x-2) we substitute x-2 in place of x
hence,f(x-2)=2(x-2)-5=2x-4-5
=2x-9
am i correct?
On two examinations, you have grades of 87 and 86. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of Ameaning a final average of at least 90 a. What must you get on the final to in the course? b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. your final average is less than , you lose your B in the courseDescribe the grades on the final that will cause this to happen
Step-by-step explanation:
We have
87+86+x
T is the total scores
n is number of tests done = 3
T/n is greater than or equal to 90
To get minimum test
T/n = 90
T = 90*n
= 90n
We solve for x
Remember n = 3
90x3 = 270
270 = 87+86+x
270 = 173+x
X = 270-173
X = 97
1.
X = 97
2.
You didn't add a value in your part b question. I used 80 though.
T/n < 80
T<80n
80x3= 240
T<240
87+86+x<240
X<240-173
X<67
X has to be less than 67 so we conclude that if x <=67 b grade will be lost.
20. Bob had 7/8 pack of construction paper. If he used 1/5 of the paper to 5 points
make a paper plane, how many WHOLE paper planes could he make? *
Answer:
3
Step-by-step explanation:
he has 7/8 paper divided by 1/5 paper it takes to make the paper plane, it equals 3.5. Three whole ones
Solve for x.
x-4/5= -1/3
Answer:
x = 1 2/15
Step-by-step explanation:
Which refers to the standards used to make a judgment or decision when designing a product?
prototypes
criteria
designs
investigations
Answer:
criteria
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
instructions: analyze the diagram below and complete the instructions that follow
Answer:
75°
Step-by-step explanation:
x+60=5x. (vertical angles)
4x=60
x=15
m<GJI = x+60
=15+60 = 75°
PLS HELP!! According to the following diagram, which two options form a pair of opposite rays?
Ello there mate hows it going? I have done geometry and parlinguals along with alegbra! I am certified as a college professor and am willing to help ya!
PLEASE THANK ME RATE MY QUESTION 5 STARS AND MARK ME BRAINLIEST for my extrodinary and overly qualified help!
A,C
yours,
a soon to be brainliest
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume
Complete Question
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability
Answer:
a
The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10
b
[tex]P(X = 6) = 0.158 [/tex]
Step-by-step explanation:
From the question we are told that
The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]
The sample size is n = 10
The possible value x can take is 0, 1 ,2,3,4,5,6,7,8,9,10
Generally the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as
[tex]P(X = 6) = ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]
Here C denotes combination
So
[tex]P(X = 6) = ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]
=> [tex]P(X = 6) = 0.158 [/tex]
Write the decimal represented by each shaded square.
Answer:
1
Step-by-step explanation:
because all of the squares are shaded so it would be 1 whole
Given the equation: 3x − 4y = 8,
a) write an equation of a line parallel that passes through the point (-16, 4).
b) write an equation of a line perpendicular that passes through the point (9, -7).
Answer:
use slope intercept formula
y=Mx +b
Step-by-step explanation:
3X-4Y=8
3X-8 = 4Y
y = 3/4x-2
our new equation just needs to have the same slope M= 3/4
y-y1=M(x-x1)
y-4=3/4(x-(-16))
y=3/4x+12+4
y=3/4x+16 answer a
for a perpendicular line.. just take the inverse of the slope... and change the sign. so now our slope is - 4/3
plug in our new point (9,-7)
y-(-7) = -4/3(x-9)
y+7=-4/3x+12
y= -4/3x +5 answer b
If 1 foot 12 inches, which expression can be used to find the
number of inches in 6 feet?
Ao
1 foot
12 inches
x 6 feet
B
12 inches
1 foot
x 6 feet
c
0
12 inches
1 foot
o feel
ofeet
1 foot
12 inches
Х
6 feet
А
B
c
С
D
We
Using proportions, it is found that the expression that can be used to find the number of inches in 6 feet is given by:
6 feet = 6 x 12 inches = 72 inches.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the rule of three is given as follows:
1 foot - 12 inches.
6 feet - x inches.
Applying cross multiplication:
6 feet = 6 x 12 inches = 72 inches.
More can be learned about proportions at https://brainly.com/question/24372153
Each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are written on a separate piece of paper and
placed in a hat. One piece of paper is randomly selected from the hat. Use the Venn diagram shown
to help you determine the probability that the number selected is odd or less than 5.
Step-by-step explanation:
i dont see a venn diagram but i think the number is probably more than 5
The probability that the number selected is odd or less than five will be 0.20 or 20%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are written on a separate piece of paper and placed in a hat.
One piece of paper is randomly selected from the hat.
Then the probability that the number selected is odd or less than 5 will be
Total event = 10
Favorable event = 2 {1, 3}
Then the probability will be
[tex]\rm P = \dfrac{2}{10}\\\\P = 0.2 \ or \ 20\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
A line is decreasing from left to right and crosses the y-axis at-5. Which of the following equations matches the
description of the line?
A. y=5x=5
B. y=-5x-5
C. y=5x -5
D. y=-5x + 5
Answer:
B
Step-by-step explanation:
y=mx+b is the slope-intercept form. Y will remain the same. Since the slope is decreasing, use a negative. The y-intercept is -5, so substitute that for b.
convert 565900 seconds into days
Answer:
1 day = 86400 seconds
565900 divided by 86400 =
Step-by-step explanation:
a little more than 6 days
plz mark brainliest
Construct a line parallel to line m through point x
PLS HELP!!!
Step-by-step explanation:
hope this helps! just remember the terms and it will get easier
-------×---------
-----------------m
Find the 7th term in the sequence -1,2,-4,8
=======================================
Work Shown:
We have a geometric sequence
a = first term = -1
r = common ratio = (second term)/(first term) = 2/(-1) = -2
nth term
a(n) = a*(r)^(n-1)
a(n) = -1*(-2)^(n-1)
Now plug in n = 7 to get the 7th term
a(n) = -1*(-2)^(n-1)
a(7) = -1*(-2)^(7-1)
a(7) = -1*(-2)^6
a(7) = -1*(64)
a(7) = -64
The first seven terms are
-1, 2, -4, 8, -16, 32, -64
To get each new term, we multiply the last term by the common ratio -2
1. We have 50 pounds of dog food to last for 10 days. Each day we use the same
amount of food. How much dog food is used each day?
Answer:
5 pounds
Step-by-step explanation:
50 pounds of dog food divided by 10 days = 5 pounds per day for 10 days.
Part C
Solve the equation or inequality for the unknown number. Show your work.
Helppp
Answer:
x = 5
Step-by-step explanation:
put 0.12, 0.1225, 3/25, 7/125 in order from least to greatest
Answer:
Note: 3/25 and 0.12 are the same
0.12, 3/25, 0.056, 0.1225
OR
3/25 0.12, 0.056, 0.01225
Hope this Helps!