Hope is n years old. Interpret the following expression if the expression represents Hunter's age.
3n -8
A.
Hunter is 8 years younger than Hope's age.
B.
Hunter is 8 years older than 3 more than Hope's age.
C.
Hunter is 8 years younger than 3 times Hope's age.
D.
Hunter is 8 years older than 3 times Hope's age.
Answers
Answer:
its A and B
Step-by-step explanation:
Because if you do the opposite of subtracting is adding so that means you add 8 to 3 which equals to 11 years old.
so that means Hope is 11 years old
Related Questions
Asap please
Which one is correct
Answers
Answer: D. The distance from A to C
Step-by-step explanation:
This formula can be used to find the distance between two points on a three-dimensional coordinate system:
D(x, y, z) = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} + (z_{2} - z_{1})^{2} }\)
If you apply the formula for all options, you will find the distance from A to C is equal to \(\sqrt{5}\). The other distances are:
A. \(\sqrt{17}\)
B. \(\sqrt{45}\)
C. \(\sqrt{44}\)
So, the answer is D.
S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
Answers
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
for such more question on temperature
https://brainly.com/question/14820864
#SPJ11
A quadrilateral has two angles that measure 190° and 10°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?
Answers
Answer:
60 degrees and 100 degrees
Step-by-step explanation:
360 - (190 + 10) = sum of other two angles
360 - 200 = 160
160/(3+5) = 160/8 = 20
20 × 3 = 60 degrees, 20 × 5 = 100 degrees
ple help me quick thank you:)
Answers
Answer:
z> 5/4
To graph, use the open dotted line and put it at point 5/4 aka 1.25 going towards the right because it is greater than.
Step-by-step explanation:
Isolate your variable (z) by multiplying both sides of the equation by 5/3.
z> 5/4
factorise x^2-x-6 please help
Answers
Answer:
Ask: Which two numbers add up to -1 and multiply to -6
-3 and
2. Rewrite the expression using the above.
(x-3)(x+2)
Step-by-step explanation:
Answer:
x^2-3x+2x-6=0
x(x-3)+ 2(x-3)=0
(x+2)(x-3)=0
x=3,-2
SOMEOINE HELP!!!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. (1, 2), (2, 4), (3, 8), (4, 16) Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points) Part B: Write a function to represent the data. Show your work. (4 points) Part C: Determine the average rate of change between station 2 and station 4. Show your work. (4 points)
Answers
Answer:
Part A:
This data is modeling an exponential function because the y-values are increasing at an increasing rate. For example, between station 1 and station 2, the time increased by 2 minutes, and between station 2 and station 3, the time increased by 4 minutes. The time between each station is increasing by a multiple of the time between the previous two stations. This indicates that the data follows an exponential curve.
Part B:
To represent this data as a function, we can use the formula y = ab^x, where a and b are constants and x is the input (station number).
Substituting in the values from the first data point, we get: 2 = ab^1
Substituting in the values from the second data point, we get: 4 = ab^2
We can then solve for a and b by dividing these equations:
4/2 = (ab^2)/(ab^1)
2 = b
Substituting this value back into the first equation, we get:
2 = a*2^1
1 = a
Therefore, the function that represents this data is y = 2^x.
Part C:
To find the average rate of change between station 2 and station 4, we can use the formula: (y2 - y1)/(x2 - x1).
Substituting in the values from the data, we get: (16 - 4)/(4 - 2) = 12/2 = 6.
Therefore, the average rate of change between station 2 and station 4 is 6.
HELP HELP HELP
Write the inequality in interval notation and graph.
Answers
The inequality in interval notation is [ -1, ∞ ) from the given equation x ≥ - 3
What is interval notation ?Continuous sets of real numbers can be represented using interval notation by the numbers that bound them. When written, intervals resemble ordered pairs in several ways. They do not, however, intend to indicate any particular location. Instead, they serve as a concise approach to express an inequality or a set of inequalities.A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.a collection of all real numbers. The interval notation (,) can be used to denote a function's domain as only real values.Given data :
x ≥ - 3
x is greater than or equal to - 3, so - 3 is our smallest value of the interval so it goes on the left. Since there is no upper endpoint (it is ALL values greater than or equal to 3),
we put the infinity symbol on the right side. The boxed end on 3 indicates a closed interval.
In interval notation it is [ -1, ∞ )
Learn more about Interval notation refer to ;
https://brainly.com/question/26025356
#SPJ1
Which undefined term is used to define an angle
Answers
Answer:
The undefined term which is used to define an angle is line i.e., . Further explanation: In geometry the three terms which are considered to be undefined are line, point and plane.
Answer:
Line
Step-by-step explanation:
A line is a undefined term used to define a angle. An angle is the corner that is created where two non-parallel lines meet/ intersect
Find
Sin 2 (30degrees)
Answers
Answer:
Sin 2 (30)°= \(\frac{\sqrt{3} }{2}\)
Step-by-step explanation:
Explanation:-
Given that Sin 2 (30)°
we know that the formula sin2θ = 2sinθ cosθ
Given that θ = 30°
Now
sin2(30)° = 2sin30° cos30°
\(= 2 ( \frac{1}{2} X \frac{\sqrt{3} }{2} )\)
After cancellation, we get
Sin 2 (30)° = \(\frac{\sqrt{3} }{2}\)
Final answer:-
Sin 2 (30)° = \(\frac{\sqrt{3} }{2}\)
PLEASE HELP ASAPPPP WILL GIVE BRAINLIEST 20+ POINTS
show ur work
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Answers
9514 1404 393
Answer:
6a +12b6(a +2b)3(2a +4b)Step-by-step explanation:
For the GCF to be 6, terms of the polynomial must be multiples of 6, but must have no other common factors. A simple polynomial that meets this requirements is ...
6a +12b
One equivalent form can be had by factoring 6 from the terms:
6(a +2b)
Since 6 has a factorization of its own, another equivalent form can be had by factoring out one of the factors of 6. The ones of interest are 2 and 3, so we can write ...
2(3a +6b)
or ...
3(2a +4b)
Answer:
6a+12b6(A+2b)3(2a+4b)Step-by-step explanation:
hope it helps
After working satisfactorily for 6 months, Collin will be eligible for a 7% raise. How much will Collin's
gross salary be, after her raise, for each 2-week pay period? His current gross salary is $1,083.34.
Answers
Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.
To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.
Collin's current gross salary is $1,083.34.
To find the raise amount, we multiply his current gross salary by 7% (or 0.07):
Raise amount = $1,083.34 \(\times\) 0.07
= $75.8338 (rounded to two decimal places)
Now, we add the raise amount to his current gross salary to find the new gross salary:
New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)
For similar question on gross salary.
https://brainly.com/question/28905653
#SPJ8
Select all of the right triangles.
Triangle ABC with AB = 30, BC = 40, and AC = 50
Triangle XYZ with XY = 1, YZ = 1, and XZ = 2
Triangle EFG with EF = 8 FG
15, and EG = 17
Triangle LMN with LM = 7, MN = 24, and LN = 25
Triangle QRS with QR = 4, RS = 5, and QS = 6
Answers
Answer:
Step-by-step explanation:
Triangle ABC: 30^2 + 40^2 = 50^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.
Triangle XYZ: 1^2 + 1^2 = 2^2 is a false statement, so by the Pythagorean theorem, this is not a right triangle.
Triangle EFG: 8^2 + 15^2 = 17^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.
The following triangles are right triangles:
Triangle ABC with AB = 30, BC = 40, and AC = 50Triangle LMN with LM = 7, MN = 24, and LN = 25Triangle QRS with QR = 4, RS = 5, and QS = 6What is right triangle ?The triangle which has one interior angle equal to 90 is known as right triangle.
For right triangle we have one theorem which is known as Pythagoras theorem which states that:
H² = B² + P²
where H is hypotenuse, B is base and P is perpendicular.
1. The triangle ABC,
50² = 30² + 40²
2500 = 900 + 1600
2500 = 2500
Hence it is right triangle.
similarly, we can check for rest options
Thus, the option A, D & E are representing right triangle.
To know more about right triangle check:
https://brainly.com/question/6322314
#SPJ2
Solve for x
-(-2 - 5x) +(-2) = 18
X= -90
X= -18/5
X= 18/5
X= 90
Answers
Answer:
18/5
Step-by-step explanation:
Professor shortcut records his grades using only his students first and last initials. What is the smallest class size that will definetly force Pro . to use a different system
Answers
Answer:
Step-by-step explanation:
There are 26 possibiliteis of the first and last initials. So there are \(26\times 26\) different initials.
So the smallest class size to ensure the Prof to use different system is \((26\times 26)+1\) since there must be two people in this class with the same first and last initials.
consider the absolute value functions c and d
which statement correctly describes these functions?
A.The maximum value of d is 5 less than the minimum value of c
B. The maximum value of d is 3 less than the maximum value of c.
C.The minimum value of d is 5 more than the maximum of c
D. The minimum value of d is 3 more than the maximum of value c.
Answers
Are the triangles below acute,obtuse or right
Answers
Step-by-step explanation:
this is just a matter of a very simple definition :
an acute triangle has only angles that are smaller than 90°.
an obtuse triangle has one angle that is larger than 90°.
a right or right-angled triangle has one angle with exactly 90°.
keep in mind, the sum of all angles in a triangle is always 180°.
so, there cannot be 2 angles with 90° or more than 90°.
therefore,
A : acute
B : obtuse
C and D : right
Sea grass grows on a lake. The rate of growth of the grass is ????????/???????? = ????????, where ???? is a constant.
a. Find an expression for ????, the amount of grass in the lake (in tons), in terms of ????, the number of years, if the amount of grass is 100 tons initially, and 120 tons after one year.
b. In how many years will the amount of grass available be 300 tons?
c. If fish are now introduced into the lake and consume a consistent 80 tons/year of sea grass, how long will it take for the lake to be completely free of sea grass?
Answers
Answer:
\((a)\ G(t) = 100 *e^{0.1823t}\)
\((b)\ t = 6\)
\((c)\ t = 1.7\)
Step-by-step explanation:
Given
\(G_0 = 100\) --- initial
\(G(1) = 120\) --- after 1 year
\(r \to rate\)
Solving (a): The expression for g
Since the rate is constant, the distribution of G follows:
\(G(t) = G_0 * e^{rt}\)
\(G(1) = 120\) implies that:
\(G(t) = G_0 * e^{rt}\)
\(120 = G_0 * e^{r*1}\)
Substitute \(G_0 = 100\)
\(120 = 100 * e^{r\)
Divide both sides by 100
\(1.2 = e^{r\)
Take natural logarithm of both sides
\(\ln(1.2) = \ln(e^r)\)
\(0.1823 = r\)
\(r = 0.1823\)
So, the expression for G is:
\(G(t) = G_0 * e^{rt}\)
\(G(t) = 100 *e^{0.1823t}\)
Solving (b): t when G(t) = 300
We have:
\(G(t) = 100 *e^{0.1823t}\)
\(300 = 100 *e^{0.1823t}\)
Divide both sides by 100
\(3 = e^{0.1823t}\)
Take natural logarithm
\(\ln(3) = \ln(e^{0.1823t})\)
\(1.099 = 0.1823t\)
Solve for t
\(t = \frac{1.099}{0.1823}\)
\(t = 6\) --- approximated
Solving (c): When there will be no grass
Reduction at a rate of 80 tons per year implies that:
\(G(t) = 100 *e^{0.1823t}- 80t\)
To solve for t, we set G(t) = 0
\(0 = 100 *e^{0.1823t}- 80t\\\)
Rewrite as
\(80t = 100 *e^{0.1823t}\)
Divide both sides by 100
\(0.8t = e^{0.1823t}\)
Take natural logarithm of both sides
\(\ln( 0.8t) = \ln(e^{0.1823t})\)
\(\ln( 0.8t) = 0.1823t\)
Plot the graph of: \(\ln( 0.8t) = 0.1823t\)
\(t = 1.7\)
283 rounds to nearest tens place
Answers
Answer: 280
Step-by-step explanation:
Remember the rounding rule -
If it is 5 or more, you round it up, if it is 4 or less, you round it down.
283 rounded to the nearest ten is 280.
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
Answers
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.Statins are used to keep cholesterol in check and are a top-selling drug in the
U.S. The equation:
S - 1.5x = 4.9
gives the amount of sales (S) of statin in billions of dollars a years after 1998.
According to this equation, how much will/did people in the U.S. spend on
statins in the year 2010?
Answer: People in the U.S. will spend ??
Billion dollars on statins in 2010.
Answers
Answer: 87
Step-by-step explanation:
Need help quick please
Answers
Answer:-1/6
Step-by-step explanation:
Draw a line out in the 2nd quadrant.
Your y=\(\sqrt{35}\) hypotenuse=6 use pythagorean theorem to solve for x
6² = 35 + x²
x=1
so
cosΘ = -1/6
Please help me with this question
Answers
Answer:
The cost of a card is 4 dollars
The cost of a baseball is 18 dollars
Step-by-step explanation:
13c + 9b = 214
3c + 8b = 156
(13c + 9b = 214) × -8
( 3c + 8b = 156) × 9
-104c - 72b = -1712
27c + 72b = 1404
-------------------------------
-77c = -308
÷-77 ÷-77
--------------------
c = 4
3c + 8b = 156
3(4) + 8b = 156
12 + 8b = 156
-12 -12
----------------------
8b = 144
÷8 ÷8
------------------
b = 18
I hope this helps!
A graphing calculator is more likely to be correct than if we do it be hand. When doing it by hand, we could have minor algebra errors that could change the final answer. However, the calculator has built-in algorithms that could solve the system of equations quickly and accurately.
Answers
Answer:
When we do it by hand we also learn to understand it better. The calculator is in fact faster and more accurate, but it doesnt teach anything
I wasnt sure what you were asking, hope this helps!
From 86 books to 150 books, what's the percent increase?
Answers
because 150 - 86 = 64 / 86 = 0.74418605 x 100 = 74.42 % !!
hope that helps you :D
If 5 times a number increased by 30 is 15, what is the number?
Answers
Answer:
let x=the number
5x+30=15
5x=15-30
5x=-15
5x/5=-15/5
x=-3
Let's keep the,
Value of unknown number as y.
Then find the y,
→ 5y + 30 = 15
→ 5y = 15 - 30
→ 5y = -15
→ y = -15/5
→ [y = -3]
Therefore, -3 is the number.
a snowboarder traveled at a speed of 12 meters per second for 15 seconds.How far did the snowboarder travel
Answers
Answer:
12 meters per second times 15 seconds = 180 meters
Step-by-step explanation:
riley bought a piano for $4000 and made a down payment of $400. if the balance is financed at a simple interest rate pf 8% with 24 equal monthly payments, what are the installments
Answers
Answer:
Total cost with interest and down payment: $4288
Monthly payment with interest: $162
(if this doesnt answer your question, plz let me know what you mean by installments and ill try again)
Step-by-step explanation
please help.. fast
Answer choices are:
A) interior
B) Alternative exterior
C) Corresponding
D) Complementary
Answers
Answer:
Complementary
Step-by-step explanation:
These 2 angles add to 90 degrees, making them complementary.
Answer:
complementary angle
Step-by-step explanation:
please mark me as brainlest
In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
True
False
Answers
False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
What is exponential decay function?
In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.
It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.
How do you calculate an exponential function?
The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.
The exponential function, which has the form, is a significant mathematical function. f(x) = ax.
Learn more about exponential decay function
brainly.com/question/14355665
#SPJ1
What is the probability that both events will occur? Two dice are tossed. Event A: the first die is a 5 or 6. Event B: The second die is not a 1
Answers
Answer: The probability that both events A and B will occur is 5/18 or 0.28.
Step-by-step explanation:
To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.
Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.
Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.
To find the probability that both events A and B occur, we multiply the probabilities:
Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.