Answer:
Yes.
Step-by-step explanation:
Let's say a=22 and b=-5
According to the Commutative Property of Multiplication, a*b=b*a. Hence, 22*(-5)=(-5)*22.
22*(-5)=
-(22*5)=-110
(-5)*22=
-(5*22)=-110
-110=-110 √
Segment AC has a length of 60. Find the following values.
DG = 60
Therefore,[tex]4x - 3 + 2x + 21 = 60[/tex]
→[tex]6x+18 = 60 \\ 6x = 60 - 18[/tex]
→[tex]6x = 42[/tex]
Divide both sides by 6
→[tex]x = 7[/tex]
DO =[tex]4x - 3 [/tex]
→[tex]4(7) - 3 \\ 28 - 3[/tex]
DO [tex]= 25[/tex]
OG [tex]= 2x + 21[/tex]
→[tex]2(7) + 21 \\ 14 +21[/tex]
OG [tex]= 35[/tex]
Therefore:
[tex]x = 7[/tex]
[tex]DO = 25 ft[/tex]
[tex]OG = 35 ft[/tex]
I hope this helpsIf there is an increase in the money supply that causes prices to rise and
leads to inflation, what happens to money?
• A. It loses purchasing power.
• B. It changes from fiat money to commodity money.
•
C. It changes from commodity money to fiat money.
•
D. It gains purchasing power.
SUBMIT
Mathematics of personal finance
The increase in the money supply that causes prices to rise and leads to inflation, loses purchasing power.
What is inflation?
Inflation refers to the persistent rise in the general prices of commodities in the economy over a period of time. If the prices of goods and services increase in an economy without an increase in income of people, it reduces the purchasing power of individuals.
This follows the law of demand which states that; the higher the price, the lower the quantity demanded; the lower the price, the higher the quantity demanded.
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simplify so that your answer contains only positive exponents.
Step-by-step explanation:
18.
[tex] = { ({x}^{2}) }^{ - 3} .2 {x}^{3} [/tex]
[tex] = {x}^{2 \times ( - 3)} .2 {x}^{3} [/tex]
[tex] = {x}^{ - 6} .2 {x}^{3} [/tex]
[tex] = 2 {x}^{ - 6 + 3} [/tex]
[tex] = 2 {x}^{3} [/tex]
[tex] = \frac{2}{ {x}^{3} } [/tex]
[tex] \: [/tex]
19.
[tex] = {(2m)}^{2} . {(3 {m}^{3} )}^{2} [/tex]
[tex] = {2}^{2} {m}^{2} . {3}^{2} {m}^{3 \times 2} [/tex]
[tex] = 4 {m}^{2} .9 {m}^{6} [/tex]
[tex] = (4 \times 9) {m}^{2 + 6} [/tex]
[tex] = 36 {m}^{8} [/tex]
If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor of 17?
In a recent national football league season tom brady philip rivers and aaron rodgers throw a total of 94 touchdown passes if we first had two more touchdowns and roger and six fewer than brady how many did brady have
Answer:
88 is the answer to the question
For which situations is it appropriate to use a sample? Select three options.
1What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
2What is the average number of rainbows each year in Honolulu?
3How many pedestrians would use a walkway built over a busy road?
4How many police cars are equipped with computers?
5What is the most popular car color in the teachers’ parking lot?
It is appropriate to use a sample at
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?How many pedestrians would use a walkway built over a busy road?How many police cars are equipped with computers?Options A, C, and D
This is further explained below.
What is the situation?Generally, Placement with respect to one's immediate environment; is the manner in which something is arranged. the whole physical, social, and psychocultural influences that operate upon a person to direct and control his or her conduct is referred to as an individual's environmental context.
In conclusion, It is OK to utilize a sample while answering the following question: What proportion of people who drive pick-up trucks want their next vehicle purchase to be another pick-up truck?
How many people do you think would utilize a walkway that was constructed over a major road? Alternatives A, C, and D
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Find the measure of the missing angles.
55°
X
y
Answer:
x = 35° , y = 125°
Step-by-step explanation:
y and 55° lie on the straight line and sum to 180° , that is
y + 55° = 180° ( subtract 55° from both sides )
y = 55°
x and 55° form a right angle and sum to 90° , that is
x + 55° = 90° ( subtract 55° from both sides )
x = 35°
11. PARKS The Hillsborough State Park in
Thonotosassa, Florida, charges an admission
fee of $4 plus a camping fee of $20 per
night. This can be represented by the
function f(x)
20x +4, where f(x) is the total
cost and x is the number of nights spent
camping. What is the value of f(5), which is
the cost of 5 nights of camping? (Lesson 2-1)
A. 80
B. 100
C. 104
D. 120
Answer:
f(5) = 104
Step-by-step explanation:
To find the value of f(5), we have to plug in 5 into our equation f(x) = 20x + 4.
f(5) = 20(5) + 4
Following our order of operations, we multiply first, then add to get our answer.
f(5) = 20(5) + 4
f(5) = 100 + 4
f(5) = 104
The cost of 5 nights of camping is $104.
2x + 3y = 1200, 3x + 2y = 1300. what is the value of 5x + 5y using substitution method
The value of 5x + 5y is 2500 by substitution method.
According to the given question.
We have two equations
2x + 3y = 1200
3x + 2y = 1300
Since, we have to find the value of 5x + 5y by substitution method.
From equation 2x + 3y = 1200
2x = 1200 - 3y
⇒ x = [1200 -3y]/2
Substitute the value of x in 3x + 2y = 1300.
⇒ 3[1200 - 3y]/2 + 2y = 1300
⇒ 3[600 -3y/2] + 2y = 1300
⇒ 1800 - 9y/2 + 2y = 1300
⇒ 1800 + (4y - 9y)/2 = 1300
⇒ (4y - 9y)/2 = -500
⇒ -5y = -1000
⇒ y = 200
So,
x = [1200 - 600]/2 = 600/2 = 300
Thereofore, the value of 5x + 5y by substitution method is given by
5(300) + 5(200)
= 1500 + 1000
= 2500
Hence, the value of 5x + 5y is 2500 by substitution method.
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what is the difference between 25 and 21.2?
Answer: 3.8
Step-by-step explanation:
25.0
-
21.2
--------------
3.8
how is solving |ax| + b = c different from solving |ax+b| = c?
Step-by-step explanation:
they are different because the first equation only ax is in absolute but in the second equation both ax and b are in absolute, so we could solve them differently.
HELPPP
Solve for x and graph the solution on the number line below.
-x - 8 ≤ -15 and -18 ≤ -x - 8
The Solution in inequality form is 7 ≤ x ≤ 10.
The Solution in interval notation: [7,10].
What is the solution to the compound inequality?Given the data in the question;
-x - 8 ≤ -15 and -18 ≤ -x - 8
To solve, simplify the first part of the inequality by solving for x.
-x - 8 ≤ -15
Add 8 to both sides
-x - 8 + 8 ≤ -15 + 8
-x ≤ -7
Divide both sides by -1
Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.
-x/-1 ≥ -7/-1
x ≥ 7
Next, simplify the second part of the inequality by solving for x
-18 ≤ -x - 8
Rewrite as
-x - 8 ≥ -18
Add 8 to both side
-x - 8 + 8 ≥ -18 + 8
-x ≥ -10
Divide both sides by -1
Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.
-x/-1 ≤ -10/-1
x ≤ 10
Now, the intersection consist of the elements that are contained in both intervals.
The Solution in inequality form is 7 ≤ x ≤ 10.
The Solution in interval notation: [7,10].
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What is the value of x
Answer: 68
Step-by-step explanation: do 75+37 which equals 112 then subtract 180 by 112 which equals 68
hope this helps
Answer:
A
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , then
x + 37° + 75° = 180° , that is
x + 112° = 180° ( subtract 112° from both sides )
x = 68°
can someone help me answer these? im really confused and have a quiz on it tomorrow.. thank you so much!!
Answer:
Domain: [tex]x > -5[/tex] or [tex](-5,\infty)[/tex]
Range: [tex]y\geq -3[/tex] or [tex][-3,\infty)[/tex]
Step-by-step explanation:
The domain is essentially the set of x-values in a given graph. In this graph. we see that the lowest x-value is an unfilled dot when x=-5. The unfilled dot means that the function [tex]f(x)[/tex] doesn't include -5. We then see that the x-value goes to positive infinity. This means that [tex]x[/tex] must be greater than -5. It is not greater or equal to -5 because the dot is not filled.
Therefore, we have that [tex]x > -5[/tex]. To convert to interval notation we can take the lower value (-5) and put it on the left side and put the higher value ([tex]\infty[/tex]) and put it on the right side. Since the graph doesn't include -5, we can put parentheses around both values to get [tex](-5,\infty)[/tex].
Note: We always put parentheses around both [tex]\infty[/tex] and [tex]-\infty[/tex].
The range is basically the same as the domain but with the y-value. We can see that the lowest y-value is y=-3. This includes -3 since the line fills the point in. Then we see that the highest y-value is once again positive infinity. This means that [tex]y\geq-3[/tex].
Now when we convert to interval notation, we have -3 and [tex]\infty[/tex]. This time since y=-3 is included in the function, we put a hard bracket around -3. Thus, we get [tex][-3,\infty)[/tex].
Hope this helps!
All that applies to square root of 175
Answer:
13.2287566
Step-by-step explanation:
What Is the Square Root of 175? The square root of 175 is defined as the value obtained on the multiplication of an integer by itself which will give the final product as 175. As there is no such integer which on multiplication with itself will give 175 exactly, the square root of 175 is not a whole number.
Two students are running on a circular path. It takes the first student 20 minutes to complete one lap, and it takes the second student 35 minutes to complete one lap. If they both start at the same time and run in the same direction, when will they meet each other at the starting point?
5 minutes
55 minutes
140 minutes
175 minutes
The time they would both meet at the starting point is 140 minutes (third option).
When would they meet at the starting point?The time they would both meet at the starting point will be a common multiple of the time it takes each of them to complete a lap.
A multiple of a number is the product of an integer and that number. A common multiple is a multiple that is common to two or more numbers.
Multiple of 20 = 20, 40, 60, 80, 100, 120, 140
Multiple of 35 = 35, 70, 105, 140, 175
Lowest common multiple of 20 and 35 = 140
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A rock sample containing an isotope with a half-life of 28 million years has an initial mass of 184 grams. how much time has elapsed after three half-lives?
The half life period is the time in which only half of the given population remains. It can be represented through this equation:
[tex]f(t)=a\times(1/2)^{\frac{t}{h}}[/tex]
t = time passeda = y-intercepth = half lifeSolving the QuestionWe're given:
h = 28 million yearsa = 184 grams (this is the initial mass, after 0 time has passed)For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.
This can be calculated simply by multiplying the given half-life by 3:
28 million years x 3
= 84 million years
Answer84 million years
You are planning a vacation and have found a great rate on a hotel. The hotel is $99 per night, plus tax and a
resort fee. The expression 99(1.05)+ 25 represents the total cost of the hotel for nights. What is the tax
rate and the resort fee? Explain how you know
Answer:
resort fee is 25
tax rate is 1.05
Step-by-step explanation:
(HELP) The town of Miami is mapped on a coordinate
grid with the origin being at City Hall. Jordan's house
is located at the point (-5, 7) and Ca'Miyah's house is
located at (-2, 3). To the nearest tenth, How far is it
from Jordan's house to Ca'Miyah's house?
(51)
Answer: 5.2
Step-by-step explanation:
If we put both points on a grid, Jordan's house would be 4 points above and 3 points to the left of Ca'Miyah's. We can plug these two amounts into the pythagorean theorem to find the distance between the houses: 4^2 + 3^2 = x^2. If we solve this equation, we get 5.196, which rounds to 5.2.
Hope this helps!
The difference of two natural number is 2. The sum of their squares is 100.Find the numbers.
The required two numbers are 6 and 8.
Let us denote the required numbers by c and d.
Given that the difference between two natural numbers is 2.
If we assume d > c, then d – c = 2
⇒ d = 2 + c → equation 1.
Also given that the sum of their squares is 100.
⇒ c² + d² = 100
⇒ c² + (2 + c)² = 100 (using the value of d from equation 1)
⇒ 2c² + 4c + 4 = 100
⇒ 2c² + 4c = 96
⇒ 2c(c+2) = 96
⇒ c(c+2) = 48
Using the factorization for 48, we get 6 × 8 = 48
⇒ c = 6
⇒ c+2 = 8
⇒ d = 8
Therefore, the required two numbers are 6 and 8.
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7.) A bag of 8 apples costs $1.00at Sam's Orchard, a. At this same rate, how much would 18 apples cost?
The cost of 18 Apples at the same rate is $2.25
cost for 8 apples = $1.00
cost of 1 apple = 1.00/8
$0.125 for one apple
cost of 18 apples = 18*0.125 =$ 2.2 5
Here in the given sum we have used simple unitary method concept like in the 1st line we noted the cost of 8 apples that is given in the question that is equall to $1.00. In the next step we found the cost of 1 apple simply by dividing 1.00/8 that amouted to $0.125. In the last stage we have calculated the amount for 18 apples that amouted to $2.25 . We have simply multiplied 18 apples with the cost of 1 apple that is $0.125 which amouted to $2.25
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Abbey wants to use her savings of $1,325 to learn yoga. the total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. choose the inequality that would be used to solve for the maximum number of months for which abbey can learn yoga with her savings. 35x 50 ≤ 1,325 35 50x ≥ 1,325 35 50x ≤ 1,325 35x 50 ≥ 1,325
Answer:
Step-by-step explanation:
Take 1325-35=1290. 1290/30= 43. She will be able to learn 43 Yoga for 43 months.
Uppose thataandbare mutually exclusive events for whichp(a) = 0.3,p(b) = 0.5. what is theprobability of eitheraorboccurs?
The probability of either A or B occurring will be 0.8.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Being connected in a way that one excludes or prevents the other events from happening also: completely at odds despite the fact that their viewpoints did not conflict.
Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and P(B) = 0.5.
Then the probability of either A or B occurring will be
P(AUB) = P(A) + P(B)
P(AUB) = 0.3 + 0.5
P(AUB) = 0.8
The probability of either A or B occurring will be 0.8.
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Which of the following numbers is the least LOOK AT NUMBER TWO ANSWERS
Answer:
A is least
Step-by-step explanation:
A= 560
B= 630
C= 568
D= 639
If you do 7 x 10 which equals 70 then do 70 by the power of 8 which is multiplying 70 8 times, you get 560 which is the least equation/answer out of all of them.
Answer:
A is the answer
Step-by-step explanation:
Since a and c are to the power of 8 while b and d are to the power of nine, it's between a and c
A.10*8=100000000×7= 700000000
C.10*8=100000000×7.1=710000000
Given f(x)=-x-1f(x)=−x−1, find f(0)f(0).
The value of f(0) is -1
What is a function?A function can be defined as an expression, law or rule that explains the relationship between two variables; a dependent and an independent variable.
Given the function;
f(x)= -x - 1
To determine f(0), we substitute the value of x as 0 in the function
So, we have;
f(0) = -(0) - 1
f(0) = -0 - 1
f(0) = -1
Thus, the value of f(0) is -1
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tom do this one too.
Answer:
x=36
y=144
Step-by-step explanation:
ABD=2x
z rule
BDE=2X
therefore 2x+3x=180
5x=180
x=36
solving for y
180-y+2x+2x=180
y=4x
y=4(36)
y=144
I need help please!
Answer:
cho kevin and sydney qualify
Step-by-step explanation:
can someone answer this and fast please and thank youuu!
Answer:
Step-by-step explanation:
Is the inequality always, sometimes, or never true?
Answer:
Never true
Step-by-step explanation:
2x - 5 < 2(x - 3) first multiply 2 with the inside the parenthesis
2x - 5 < 2x - 6
now when we simplify the inequality 2x on the both sides will be eliminated and we will be left with:
(-5) < (-6) which cannot be true because (-5) is closer to 0 in number line so it's bigger then (-6) not smaller
Therefore the answer is "Never true"
Evaluate the following function when x = -1 and x = 2 and determine the sum of the two results:
Answer:
J. 1
Step-by-step explanation:
Plug the x values into the equation:
f(-1)=3-(-1)^2
f(2)=3-(2)^2
Solve each one, then add.
3-(-1)^2=
=3-1=2
3-(2)^2=
=3-4=-1
Combine the answers together.
2-1=1
The answer is J. 1.
Hope this helps!
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