Answers
A function assigns the values. The value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of g(x) can be found by substituting the value of x as given in the function. Therefore, the values will be,
A.) x = -1
[tex]g(-1) = 6(\dfrac32)^{-1}\\\\g(-1) = 4[/tex]
B.) x = 0
[tex]g(0) = 6(\dfrac32)^0\\g(0) = 6[/tex]
C.) x = 1
[tex]g(1) = 6(\dfrac32)^1\\\\g(1) = 9[/tex]
D.) x = 2
[tex]g(2) = 6(\dfrac32)^2\\\\g(2) = 13.5[/tex]
Hence, the value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
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Related Questions
the interest paid for borrowing qn amount of money for 3yrs at the rate of 4%is n108 find the amount of the money borrowed
Answers
The amount of the money borrowed is 864.941
So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x where r is the growth rate (interest rate)
So the equation can be written as
m=(1.04)^t
Where m represents the amount of money over time, P represents the principal amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount
[tex]I=P(1.04)^t-P[/tex] where I represent the interest paid.
plug the values into the equation
[tex]108=P(1.04)^3-P\\P=864.941[/tex]
Therefore the amount of the money borrowed is 864.941.
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PLEASE HELP!!!! FIND X AND Y AND GIVE A STEP BY STEP EXPLANATION FOR BRAINLIEST!!! 50 POINTS!!!
Answers
Reason
First I find x using the bottom angles that equal 180
3x + 3x + (vertical angle ) 3x
9x=180
X=20
Now I find y using the top angles that equal 180
(Vertical angle) 3x + 3x + y = 180
Substitute value of x in equation
3(20) + 3(20) + y = 180
60+60 + y =180
Combine like terms to isolate y
y =180-60-60
y=60
You can check your work by substituting your x and y values into the angles
What are all of the possible classifications for a 3 × 3 system?.
Answers
Answer:
consistent and dependent
consistent and independent
Step-by-step explanation:
If a system of equations has no solutions, it is said to be inconsistent.
If a system of equations has at least one solution, it is said to be consistent.
If there is just one solution to a system of equations, it is said to be independent.
If a system of equations has an unlimited number of solutions, it is dependent.
A 3 x 3 system of equations is a three-variable system of equations. That is correct (x, y, z)
A three-by-three-equation system might be dependent, independent, or inconsistent.
A 3 x 3 system of equations can be written as follows:
consistent and self-sufficient (This indicates that there is just one answer.)
Dependable and consistent (It has infinite solutions)
If it is inconsistent, it can neither be dependent nor independent
f (x) = √x + 9 what is the domain?
Answers
Answer:
Step-by-step explanation:
Answer: x ≥ 0
Anything inside a square root must not be negative. The domain has to be x ≥ 0.
And if you have to graph it it has to start at 0 and go up to 9 and curve over.
33
65
56
Is this tangent?
Answers
Answer:
Yes it is what is the question you are answering and it's 90 degree
Answer:
yes line is a tangent to the circle
Step-by-step explanation:
the angle between a tangent and the radius of a circle is 90°
If the triangle is right then the line touching the circle is a tangent.
using the converse of Pythagoras' identity
if the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right
longest side = 65 and 65² = 4225
56² + 33² = 3136 + 1089 = 4225
then the triangle is right and the line touching the circle is a tangent
please help! [4 x 3⁵ - 9 x (-7)] + 3³ (-4² +2²) - 11 Give your answer in simplest form.
Answers
Answer:
Please see the question below.
Step-by-step explanation:
In the expression "[4 x 3⁵ - 9 x (-7)]" I'm unclear if the "x" is a multiplication sign, or the variable x. I'll assume it is the variable x in my answer.
4 x 3⁵ = 972x
- 9 x (-7) = 63x
3³ (-4² +2²) = 27 (20) = 540
-11 = -11
========
Putting it all together:
972x + 63x + 540 -11
1035x + 529
A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?
Answers
Answer:
4.11 yards/uniform
Step-by-step explanation:
We aren't told that there will be any differences in the uniforms among the 16 concert and 20 symphonic band students. No information on sizes, styles, or anything else.
In the absence of this information, we must assume all uniforms are the same.
(16 + 20) = 36 students/uniforms
148 yards of material
148 yards/36 uniforms = 4.11 yards per uniform.
I need this Asap Please and Thank you
Answers
Answer:
[tex]a= 10,\:\: b=6[/tex]
Step-by-step explanation:
[tex]\frac{7^2\:.\:7^8}{7^4}=\frac{7^a}{7^4}=7^b[/tex][tex]\rightarrow\frac{7^{2+8}}{7^4}=\frac{7^a}{7^4}=7^b[/tex][tex]\rightarrow\frac{7^{10}}{7^4}=\frac{7^a}{7^4}=7^b[/tex][tex]\rightarrow {7^{10-4}}={7^{a-4}}=7^b[/tex][tex]\rightarrow {7^{6}}={7^{a-4}}=7^b[/tex][tex]\rightarrow 6=a-4=b[/tex] (Bases are equal so exponents will also be equal)[tex]\rightarrow 6=a-4,\:\: 6=b[/tex][tex]\rightarrow 6+4=a,\:\: 6=b[/tex][tex]\rightarrow a= 10,\:\: b=6[/tex]How far will Kenneth walk in 3.5 hours?
y = 5.5(x)
Answers
Answer:
19.25(miles?)
Step-by-step explanation:
Assuming 3.5 is the x value or input of the function
3.5 x 5.5 = 19.25
If the scale of a map is 1 cm : 2500m . The distance between two places in real field is 15 km . What is the distance between the places in map?
Answers
Answer:
To find out actual distance on earth, we need to measure scale. The scale is 1cm to 15 km. Thus, 10 cm on map is equal to ( 10*15) = 150 km on earth. Thus, actual distance on earth is 150 km.
Which of the following problem types can always be solved using the law of
cosines or sines? Check all that apply.
A. SSS
B. ASA
C. SAA
D. SAS
E. SSA
F. AAA
Answers
Answer:
A, C, D, E, F
Please give answer
It’s for a school work
Answers
Answer:
x=60
Step-by-step explanation:
x+2x=3x
180/3=60(interior angles add up to 180)
Find the measure of angle RPQ help me please thank u
Answers
Answer:
[tex]\boxed {54^{o}}[/tex]
Step-by-step explanation:
By Inscribed Angle Theorem, the value of an inscribed angle enclosed by an arc is the half the value of that arc.
⇒ ∠RPQ = 108°/2
⇒ ∠RPQ = 54°
If students sit 3 per bench, we are short 3 benches. If they sit 5 per bench,
2 benches are left empty, and one bench only has 4 students. How many
benches are there?
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. There are a total of 10 benches in the class.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let the total number of benches be represented by x. If students sit 3 per bench, we are short 3 benches. Therefore, the total number of students can be written as,
Total number of students = 3x + 9
If they sit 5 per bench, 2 benches are left empty, and one bench only has 4 students.
Total number of students = 5(x-1) - 10 +4
Now, the total number of students can be written as,
3x + 9 = 5(x-1) - 10 +4
3x + 9 = 5x - 11
20 = 2x
x = 10
Hence, there are a total of 10 benches in the class.
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A car garage fits 17 rows of 30 cars on each of the 3 floors. How many cars are there if the car park is full?
Answers
Answer:
1,530
Step-by-step explanation:
Please Help!
The manager of a home electronics store is considering re-pricing a new model of digital camera. At the current price of $680, the store sells about 70 cameras each month. Sales data from other stores indicate that for each $20 decrease in price, about 5 more cameras would be sold. The table shows some x and y values; where x is the number of price decreases and y is the revenue.
a) How many price decreases should the manager apply?
b) What price produces the maximum revenue?
c) What is the maximum revenue?
Answers
The reduction in price that will be applied is $200.
How to calculate price?From the given information, the price function will be:
P - 680/(680 - 660) = (Q - 70)/(70 - 75)
P = -4Q + 960
Revenue will be:
= Price × Quantity
= (-4Q + 960)Q
= 4Q² + 960Q
Differentiating this will be Q = 120
Price will be:
= (-4 × 120) + 960
= 480
The reduced price will be:
= 680 - 480
= 200
The maximum revenue will be:
= 480 × 120
= 57600
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In △ABC, ∠C = 2∠B and ∠A = 540, find the measure of ∠B.
Answers
Answer:
B = 42°
Step-by-step explanation:
All of the internal angles of a triangle sum to 180°
x + 2x + 54 = 180
3x = 180 - 54
x = 42 ° which is angle B
does someone mind helping me with this problem? Thank you!
Answers
9x^2 - 4x - 3
9(-2)^2 - 4(-2) - 3 = 41
There are 39 adults and 26 children registered for a seminar. the seating is to be arranged so each row has the same number of people. all of the people in a row must be in the same age group. how many rows of seats are needed to seat the greatest possible number of participants in each row?
Answers
The number of rows of seats needed to seat the greatest possible number of participants in each row is 5
What is Highest Common Factor ?The highest common factor is the highest number that divides the numbers given.
On the basis of given data
Total number of children = 26
Total number of adults = 39
The highest common factor of both the number is 13 ,
Therefore the highest possible number of people that can sit in one row so that the number is in constant in all the rows.
So 2 rows of children of 13 each and
3 rows of adult of 13 each
Which makes the total number of rows = 5
Therefore the number of rows of seats needed to seat the greatest possible number of participants in each row is 5
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Consider the equation below. n2 3h2 right arrow. 2nh3 what is the mole ratio of hydrogen to ammonia?
Answers
The mole ratio of hydrogen to ammonia will be 3:2.
What is the chemical equation?A depiction of a chemical reaction using elements' indicators to determine how much of each source and result is present-typically in moles.
The chemical equation is given below.
N₂ + 3H₂ = 2NH₃
Then the mole ratio of hydrogen to ammonia will be 3:2.
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Jacob is calculating the amount of time it takes a rocket to get to the moon. the moon is around 239,000 miles from earth. how many hours would it take a rocket that can travel at 250 miles per minute to travel to the moon? round to the nearest hour.
Answers
Answer:
16hr
Step-by-step explanation:
distance= time x speed
250mi/min=250x60mi/hr =15000mi/hr
239000/15000≈15.9333hr
Round up to 16hr
Explore sums of complex
numbers by moving points A
and B and noticing how the
sum of those points written
in the expression below
corresponds to the sum
shown geometrically.
Drag the points, A and B, to
produce a result of -3 + 4i.
Answers
The two-point A and B will be -1+2i and -2+2i respectively.
What is the complex number?A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The complex number is given as;
x+iy
Where x is the real part and iy is the imaginary part.
The two points added to obtained -3 + 4i are;
A = -1+2i
B= -2+2i
The sum of the two points is;
⇒A+B;
⇒-1+2i + -2+2 i
⇒-3 + 4 i
Hence the two-point A and B will be -1+2i and -2+2i respectively.
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Given: NM // XZ
We know that side NM is
v to side XZ. If
Prove: AXYZ ~ ANYM
we consider side NY the transversal for these parallel
lines, we create angle pairs. Using the
v. we can state that
ZYXZ is congruent to ZYNM. We know that angle
XYZ is congruent to angle
v by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
M
Answers
A transversal is a straight line that intersects two parallel lines forming four angles at each point of intersection. Thus the required answers to the given question are:
i. Side NM is parallel to side XZ.
ii. Using the corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
Two or more angles are said to be congruent if and only if they have equal measure. This property can be used to relate equal angles.
While a transversal is a straight line that intersects two parallel lines forming four angles at each point of the intersection.
The required answers to the question are as stated below:
i. Side NM is parallel to side XZ.
ii. The corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
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Answer: For the first box it is parallel, for the second box it is the corresponding angles theorem, the third is NYM, and the last one is AA.
Step-by-step explanation: 1.) Since line NM has an arrow on it's line and XZ has an arrow on it's line, that means that those two line are parallel to each other. 2.) Since both triangle contain the same transversal line (NY) and the corresponding angles theorem states that if a transversal intersects parallel lines, the corresponding angles are congruent. From this we can conclude that this means that the angle <YXZ has is congruent to the angle <YNM. Therefore we use the corresponding angles theorem. 3.) Answer 2 basically answers box number three but since we concluded that Angles of <YXZ and <YNM are both congruent <NYM would be your answer its just flipped. 4.) We use the AA theorem, because the AA theorem states that if an angle or angle(s) of one triangle is congruent to another angle/angle(s) of another triangle, then the triangles are similar (congruent). Therefore we would use the AA theorem.
Hope this helps :)
By the way this is the answer for EDGE in 2023
divided it by 7 and added 25. the result was 34 what was my number?
25. the result was 34 what was my number?
Answers
Answer:63
Step-by-step explanation:
63/7+25=34
Answer:
x = 63
Step-by-step explanation:
we know that...
(x will be the stand-in for "your number")
x ÷ 7 + 25 = 34
(x ÷ 7) + 25 = 34
To find x, we have to isolate x
first, we can subtract 25 from both sides (remember, if you do an action on one side, you must do the same action on the other side)
{why are we subtracting? we need to do the opposite of a sign to get rid of it. By subtracting, we are undoing addition; by multiplying we are undoing division (and vice versa) }
(x ÷ 7) + 25 = 34
- 25 - 25 (subtract 25)
x ÷ 7 = 9
× 7 ×7 (multiplying by 7 to get rid of the "÷7")
x = 63
now, we can test out our x-value:
(63 ÷ 7) +25 = 34
( 9 ) + 25 = 34
34 = 34
because this equation is true, we can be certain that x = 63
hope this helps!
How many cubic feet of dirt are there in a hole that is 3’ deep x 3’ wide x 3’ long?.
Answers
Answer:
27
depth ×breadth×width=3×3×3
= 27
You want to create an ID code for the students in your school based on three characters. The first and second characters must be a letter of the alphabet, and the third must be a digit between 1 and 9 inclusive. To find out how many different codes there are, would a list or tree diagram be practical in this case? Why or why not?
a.) Yes, we have all the information we need
b.) Yes, this is one way to find the answer
c.) No, since there are too many choices
d.) No, we don’t have all the information we need
Answers
In the case above, there will be about 6084 different codes and thus would tree diagram would not be practical in this case because option C. No, since there are too many choices.
What is the tree diagram about?Since there are 26 letters in an alphabet and only 9 digits in the third place is to be used.
Therefore, multiply the total number of alphabet cases is formed using letters in the first two characters and the digit in the third place and thus it will be:
26 × 26 × 9 = 6084
If a person is to show these 6084 cases using a tree diagram, it will be very complex and thus In the case above, there will be about 6084 different codes and thus would tree diagram would not be practical in this case because option C. No, since there are too many choices.
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which statement is correct?
Answers
Answer:
the first one
Step-by-step explanation:
0.0206×0.188<0.0769/0.000023
A survey was given to ask a group of adults if they liked chocolate or vanilla ice cream more. The table shows the survey results of three age groups.
(see attachment for table)
A person is selected at random. Determine the probability of each described event. Round your answers to two decimal places.
P(20s | Chocolate) = ________
P(Chocolate | 30s) * P(Vanilla | 30s) = ________
Answers
P(20s | Chocolate) = 33 / 127 = 0.26 (2dp)
There are 122 people in their 30s 53 liking chocolate and 69 vanilla
P(chocolate | 30s) x P(vanilla | 30s) = 53/122 x 69/122 = 0.25 (2dp)
The probability of P(20s | Chocolate) and P(chocolate | 30s) x P(vanilla | 30s) will be 0.26 and 0.25, respectively.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Adults were polled to determine whether they preferred vanilla or chocolate ice cream. The survey findings for three age groups are displayed in the table.
There are 127 people who enjoy chocolate, and 33 of them are in their 20s is given as,
P(20s | Chocolate) = 33 / 127 = 0.26
There are 122 persons in their 30s, and 53 of them prefer chocolate 69 others prefer vanilla is given as,
P(chocolate | 30s) x P(vanilla | 30s) = 53/122 x 69/122 = 0.25
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Find the inverse please tell me where to put the dots thanks
Answers
Answer:
Draw a line segment from (-7, -2) to (3, 8)
See the diagram below.
You do not have to draw the blue dashed line. It's there to show how the points reflect over.
=========================================================
Explanation:
The inverse will have us swap x and y. The point (x,y) becomes (y,x)
The endpoint (-2, -7) becomes (-7, -2)
Also (8,3) moves to (3, 8)
Visually, these points are being reflected over the line y = x to form the inverse. We only need to worry about the endpoints because 2 points is the minimum needed to form a straight line.
Check out the diagram below. The red segment is the inverse. The blue dashed line is the line y = x. You don't have to plot this line as it's just a visual tool to see what's going on. Your teacher likely will only want the red segment.
Since the original segment is parallel to y = x, the inverse is also parallel to the mirror line. All three lines are parallel.
If 45 is added to half a number, the result is triple the number. find the number
Answers
Answer:
18
Step-by-step explanation:
x = number
45 + 1/2 x = 3x
45 = 2.5 x
x = 45/2.5 = 18
Answer:
18
Step-by-step explanation:
Hello!
"Half a number" can be represented by 0.5x and "triple the number" can be represented by 3x.
This just becomes a one variable equation: 45 + 0.5x = 3x
Solve:
45 + 0.5x = 3x45 = 2.5x18 = xThe missing number is 18.