Answer:
1/14 i think
Step-by-step explanation:
The functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.05)x x g(x) −4 −9 −2 −6 0 −3 2 2 Which equation best compares the y-intercepts of f(x) and g(x)? The y-intercept of f(x) is equal to the y-intercept of g(x). The y-intercept of f(x) is equal to 2 times the y-intercept of g(x). The y-intercept of g(x) is equal to 2 times the y-intercept of f(x). The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x). Question 12(Multiple Choice Worth 1 points) (01.04 MC) A store manager can spend at most $1,000 a day for operating costs and payroll. It costs $100 each day to operate the store and $30 dollars a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most: 30x + 100 ≤ 1000 x ≥ 30 x ≥ 33 x ≤ 33 x ≤ 30 Question 13(Multiple Choice Worth 1 points) (02.01 LC) Which of the following tables represents a function? x 1 −1 4 −4 y 8 8 10 10 x 2 2 3 3 y 6 −6 7 7 x 5 −5 5 −5 y 10 11 12 13 x 2 2 7 7 y 2 3 4 5 Question 14(Multiple Choice Worth 1 points) (01.06 LC) Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost? [1 ft = 0.305m] $9.20 $2.12 $2.81 $30.16 Question 15(Multiple Choice Worth 1 points) (04.02 LC) What is the solution to the following system of equations? x − 3y = 5 2x + y = 10 (5, 0) (0, 5) (7, 0) (0, 7) You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam Instructors monitor ALL areas of a student's account Student e-mail accounts are to be used for FLVS course-related email only and not for general introductions or spamming of people in your address book. Please remember to click the Logoff link when you have completed your work in the course. FDK191.12
Based on our examination of the y-intercepts, we can deduce that the y-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
What is the examination of the y-intercept?The value of the function at the point where the value of x is equal to zero is known as the y-intercept.
f(x)=-6(1.05)^x
Considering x
x=0
f(0)=-6(1.05)^0
f(0)=-6(1)
f(0)=-6
Therefore, the y-intercept is point (0,-6)
Generally, the equation for the function of the y-intercept of g(x) is mathematically given as
From table
at x=0
The y-intercept is the point (0,-3)
Based on our examination of the y-intercepts, we can deduce that the ty-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
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Luther High School's basketball coach won a record 33 out of 42 games how many games must the team win in the next 28 games for the coach to maintain to the ratio of wins to losses?
Using proportions, they must win 22 games to maintain to the ratio of wins to losses.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the next 28 games, we have that:
The team will have won 33 + x games.The team will have played 42 + 28 = 70 games.To keep the same proportion, we have that:
[tex]\frac{33}{42} = \frac{33 + x}{70}[/tex]
Applying cross multiplication:
42(33 + x) = 33 x 70
Simplifying by 14:
3(33 + x) = 33 x 5
3x = 33 x 5 - 33 x 3
3x = 33 x 2
3x = 66
x = 66/3
x = 22.
They must win 22 games to maintain to the ratio of wins to losses.
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On a recent trip to the convenience store, you picked up 2 gallons of milk, 6 bottles of water, and 7 snack-size bags of chips. Your total bill (before tax) was $25.65. If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.90 more than a bottle of water, how much does each item cost?
Answer:
The water costs $1.90, the chips are $.95 and the milk is $3.80.
Step-by-step explanation:
Let m = milk
Let w = water
Let c = chips
2m+6w+7c =25.65 w = 2c m = w + 1.90
For the first equation, substitute w for 2C and m for w + 1.90 to get:
2(w+1.90) +6(2c) + 7c = 25.65
2w+3.8+12c+7c=25.65
2w+19c = 21.85
Now substitute 2c for w:
2(2c)+19c =21.85
4c + 19c = 21.85
23c = 21.85
c = .95 Now that we know the cost of the chips we can use that to find the water and the milk for the original equations that we wrote at the top.
w = 2c
w=2(.95) = 1.90
m = w + 1.90 = 1.90+1.90 = 3.80
If m/FCD = x + 48, m/BCD = x + 17, and m/BCD = 95°, then find the value of x.
The value of x is 78
Solving equivalent equations
Given:
[tex]\frac{m}{FCD}=x+48\\\\ \frac{m}{BCD} =x+17\\\\\frac{m}{BCD} =95^0[/tex]
From the given equations, two of them are exactly equivalent
The equivalent equations are compared below
x + 17 = 95
x = 95 - 17
x = 78
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DATE PAGE No. Demand 10 a) A ratio of two number is equal to 3:8. If the smaller number is 12, find the greater number:
From ratio concept, the greater number number is 32 .
What is the greater number from concept of ratio ?A ratio exists as an ordered pair of numbers a and b, written a / b where b does not equivalent to 0. A proportion exists in an equation in which two ratios stand set equal to each other. For example, if there exists 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there exist 3 girls)
Let the greater number be x .
The ratio given is 3:8 .
Thus, by the concept of ratio -
⇒ 3/8 = 12/x
⇒ x = (8/3 * 12)
∴ x = 32
Therefore, from ratio concept, the greater number number is 32 .
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What is the product?
2
12 64
78 30
6
32
78 30
(050
69
78 30
899
32
39 15
66 8
64
38 30
Answer:
the product is 1.32057606543E32
Which of these is NOT an arithmetic sequence?
A.3, 9, 15, 21, 27, ...
B.-3, -9, -15, -21, -27,...
C.27, 21, 15, 9, 3, ...
D.3, 9, 27, 81, 243, ...
Answer:
D
Step-by-step explanation:
Sequence A is increasing using + 6
Sequence B is decreasing using - 6
Sequence C is decreasing using - 6
Sequence D is increasing using x 3
D is the odd one out
It took 8 hours for 5 men to build a storeroom. How many hours will it take 12 men to build a similar storeroom if they work at the same rate?
Answer:
7.5. hours
Step-by-step explanation:
Trust me
12 men will take 3.34 hours to build a similar storeroom if they work at the same rate.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that it took 8 hours for 5 men to build a storeroom. The time required by 12 men to do the same work will be calculated as below:-
Time taken by one man = 8 x 5 = 40 hours
Time is taken by 12 men will be = 40 / 12 = 3.34 hours
Therefore, 12 men will take 3.34 hours to build a similar storeroom if they work at the same rate.
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Tell whether the equation 3x - 6y = 0 is a direct variation. Explain. If the equation is a direct variation, identify the constant of variation.
The equation is in direct variation and have constant of variation is 2.
According to the statement
we have given equation is 3x - 6y = 0 and find that the equation is direct variation of not.
Direct variation is the mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
So, to find the direct variation equate the given equation equal to zero and solve it.
So, 3x - 6y = 0
3x=6y
or
x/ y=2 or x=2⋅y
here x is directly proportional to the y by 2 times.
∴x∝y
So, this equation in direct variations and constant of variation is 2.
From above this is clear that the equation is in direct variation and have constant of variation is 2.
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You want to put in a new concrete patio behind your house. You want it to be 12 ft wide by 14 ft long and it needs to be eight inches thick. You know that an 80 lb. bag of concrete yields 0.60 cubic feet. How many 80 lb. bags of concrete will you need for your patio?
Answer:
You will need 187 80 pounds bags of concrete.
Step-by-step explanation:
12x14x(2/3) x 0.6 = 186.666 or 187
I need help with my work
(In c) * 1/c = 0.0604 is the change in the function.
According to the statement
y = (In x)^2 on interval [1,4]
By mean value theorem
we use this formula to find a change f '(c)= [f(b) - f(a)] / (b - a)
Let it f(y) = (In x)^2
Now, f(4) = (In 4)^2
f(4) = (0.602)^2
f(4) = 0.3624
and
f(1) = (In 1)^2
f(1) = (0)^2
f(1) = 0
Now, f'(c) = 2 (In c) * 1/c
Substitute all these values in a formula
2 (In c) * 1/c = 0.3624 - 0 / 4 - 1
2 (In c) * 1/c = 0.3624/3
2 (In c) * 1/c = 0.1208
(In c) * 1/c = 0.0604
So, (In c) * 1/c = 0.0604 is the change in the function.
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Write each equation in Slope-Intercept Form, if possible. Identify the slope and
y-intercept if they exist. Can you leave a detailed explanation please. Thank you
6x − 4y = 24
Answer:
slope intercept form: y = mx + b
6x - 4y = 24
4y = 6x - 24
y = 3/2x - 6
slope: 3/2
y intercept: - 6
Answer:
y = 3/2 x -6
The slope is 3/2 and the y intercept is -6
Step-by-step explanation:
6x-4y = 24
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
We need to solve the equation for y
6x-4y =24
Subtract 6x from each side
6x-4y-6x =-6x+24
-4y = -6x+24
Divide each side by -4
-4y/-4 = -6x/-4 + 24/-4
y = 3/2 x -6
The slope is 3/2 and the y intercept is -6
how to be smart
please help
A number is negative if and only if it is less than 0.
p. A number is negative.
q. A number is less than 0.
Which represents the inverse of this statement? Is the inverse true or false?
~p4~9
The inverse of the statement is sometimes true and sometimes false.
Oq+p
The inverse of the statement is true.
q→P
~q→ ~p
The inverse of the statement is false.
The inverse statement is:
¬q ⇒ ¬p
Which is true.
How to get the inverse statement?
Here we have the biconditional statement:
A number is negative if and only if it is less than zero.
Where:
p = a number is negative.q = a number is less than 0.So we can write the statement as:
p ⇔ q
The inverse statement is:
if not q, then not p.
or
¬q ⇒ ¬p
Replacing p and q, we have:
"if a number is not less than zero, then the number is not negative".
This is true, if the number is not less than zero, then the number is 0 or larger, so that number is not negative.
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Answer:
D.
∼p↔∼q
and
G.
The inverse of the statement is true.
Step-by-step explanation:
PLEASE HELP!!
From the triangle below, if AD=2 and CD=8. Find the Length of side AB
Question 7 (1 point) The two tables below show the amount of tip, y, included on a bill charging x dollars. A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3. A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15. Which compares the slopes of the lines created by the tables?
The slope of restaurant B is twice that of restaurant A
How to compare the slopes?The tables of values are given as
X(Bill) Y(Tip) X(Bill) Y(Tip)
Rest A 10 1 Rest B 25 5
Rest A 20 2 Rest B 50 10
Rest A 30 3 Rest B 75 15
The slopes are calculated using
Slope = (y2 - y1)/(x2 - x1)
Using the table of values, we have:
Rest A = (2 - 1)/(20 - 10)
Rest A = 0.1
Rest B = (10 - 5)/(50 - 25)
Rest B = 0.2
By comparing the slopes, we have:
Rest B = 2 * Rest A
This implies that the slope of restaurant B is twice that of restaurant A
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Elena cuts out a rectangle that has a perimeter of 156 inches and a length of 56 inches. She cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new ractangle?
answer: 200, 2 hundred, two hundred
what is the measure of this
Answer:
60
Step-by-step explanation:
140-80=60
which quantity is scalary
Step-by-step explanation:
find the greatest number which divides 225 and 1029 leaving remainder of 5 in each case
Question 9(Multiple Choice Worth 5 points)
(04.06A LC)
What is the slope of the line segment?
15
12
9
6
63
0123
0-3
0-13/1
O
O
1/3
3
5
Answer: 3
Step-by-step explanation:
[tex]\frac{3-0}{1-0}=3[/tex]
Express the formula in terms of the height, Use that formula to find the height when the volume is and the radius is
The formula to find the height of the Cylinder is; h = V/(πr²) and at V = 45π and r = 3, we have; h = 5
How to change the subject of the formula?We are given the formula for volume of a cylinder as;
V = πr²h
where;
h is height
r is radius
To make h the subject, let us divide both sides by πr² to get;
V/(πr²) = h
At V = 45π and r = 3, we have;
h = 45π/(πr²)
h = 45/3²
h = 5
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In the triangle below M, Z, and P are the midpoints of the sides. Name a segment that is parallel to the one given. Pay attention to the order of the points used in the given side.
Based on the triangle midsegment theorem, the midsegments and the sides they are parallel to are:
MP is parallel to XY
PZ is parallel to WX
MZ is parallel to WY
What is the Triangle Midsegment Theorem?The segment that connects the midpoints of two sides of a triangle is referred to as the midsegment of the triangle. All triangles possess three midsegments. According to the triangle midsegment theorem, the third side of the triangle that is directly opposite the midsegment is twice the size of the midsegment and it is parallel to it.
In the diagram showing triangle WXY with midpoints at points M, Z, and P, the midsegments are:
MP which is parallel to XY, also, MP = 1/2(XY)
PZ which is parallel to WX, also, PZ = 1/2(WX)
MZ which is parallel to WY. also, MZ = 1/2(WY)
Thus, the midsegments and the sides they are parallel to are:
MP is parallel to XY
PZ is parallel to WX
MZ is parallel to WY
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This is worth 33 POInTS PLEASE HELP
The maximum amount of water that can be used by each house on a daily basis is 100 liters.
EquationCommon utilities in the community = 500 litersNumber of houses = 40 housesCapacity of water tank = 4,500 litersWater used per house = x4,500 = 500 + 40x
4,500 - 500 = 40x
4,000 = 40x
x = 4,000 / 40
x = 100 liters
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Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…
The sum of the first five terms is 11/2
How to determine the sum?The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:
[tex]S_n = a\frac{1 - r^n}{1 - r}[/tex]
This gives
[tex]S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}[/tex]
Evaluate
[tex]S_n = \frac{1}{2} * \frac{33)}{3}[/tex]
Evaluate
[tex]S_n =\frac{11}{2}[/tex]
Hence, the sum of the first five terms is 11/2
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The length of two sides of the right triangle ABC shown in the illustration are given. Find the length of the third side in centimeters. a=12cm and c=37cm
By using Pythagoran theorem, the length of the third side of the triangle ABC is 35 centimeters.
How to find the missing side of a right triangle
In this question we know the lengths of two sides of the right triangle. By Pythagorean theorem we get the length of the missing side:
a² + b² = c²
b² = c² - a²
b = √(c² - a²)
b = √(37² - 12²)
b = 35
By using Pythagoran theorem, the length of the third side of the triangle ABC is 35 centimeters.
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Write the recursive rule for the 5th term of the sequence: -7, -3, 1, 5, 9
Answer:
Step-by-step explanation:
Let [tex]x_{n}[/tex] represent the nth term in the sequence. Then [tex]x_{n-1}[/tex] represents the previous term
The first term, [tex]x_{1}[/tex] = -7
Each consecutive term is obtained by adding 4 to the previous term.
So the recursive relation is
[tex]\left \{ {{x_{1}= -7} \atop {x_{n}= x_{n-1} + 4}} \right.[/tex]
solve for x the triangles are similar
Answer:
x = 10
Step-by-step explanation:
∆RSE ~ ∆FGE
SE/ GE = RE/ FE
45/ 12x-3 = 55/ 143
3/ 3(4x - 1) = 11/ 143
11(4x-1) = 429
44x-11 = 429
44x = 440
x =10
Simplify
18÷[7+2{7+2(7-6)}+2
Answer is
[tex] \frac{2}{3} [/tex]
Show me the steps by steps
Answer:
[tex] \frac{2}{3} [/tex]
Step-by-step explanation:
=18÷[7+2{7+2(7-6)}+2]
=18÷[7+2{7+2×1}+2]
=18÷[7+2×9+2]
=18÷[7+18+2]
=18÷27
=[tex] \frac{18}{27} [/tex]
=9 two is 18 and 9 three is 27
So,
=[tex] \frac{2}{3} [/tex]
To graph the inequality y < 2x - 1, you would draw a solid line. A true B false
True
Personally, when I see the line underneath the equality sign, I know I've got to draw a dotted line. That's how I remember the difference between drawing a solid / dotted line.
Hope this helps!
I need some help please
The values of x and y that can represent the equation is illustrated.
How to illustrate the information?The equation given us 32 = xy + 16
The table will be:
x. y
4. 4
16. 1
2. 8
32. 0.5
For example, when x and y are 4. This will be:
= xy + 16
= (4 × 4) + 16
= 32
Other values of x and y will also give 32.
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