The value of the logarithm log y = 7 for y will be e⁷.
We are given the logarithm problem as:
log y = 7
We need to solve this to find the value of y.
We will use the properties of logarithm for this.
So, we get that
⇒ e ^ log y = e ⁷
Solving it, we will get that:
⇒ y = e⁷
So the value of the logarithm log y = 7 for y will be e⁷.
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A carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown.
Will the side pieces of the frame be parallel?
How do you know?
(Click document to see image)
If a carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
ParallelThe interior angles are the same or equal in measure. On the other hand the sum of the interior angles have to be 180°.
The two side pieces on the right hand and left hand side are equal in measure. The sides can be parallel only if the sum of both side angles is equal to 180°
Let calculate the one side of the interior angle and both side of the interior angle
One side of the interior angle=40º+50º
One side of the interior angle=90°
Both side of the interior angle=90°+90°
Both side of the interior angle=180°
Hence,
The side are parallel because: 180°=180°
Therefore Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
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Ebony earned scores of 70 , 72 , 89 , 92 , 89 and 80 on six math tests. Determine her score on the seventh test if her average for the seven tests was 80? Enter your answer as a whole number
Answer:
70
Step-by-step explanation:
Consider the two functions.
f(x) = 4 +6
g(x) = 4²-6
If g (x) = f(x) + k
what is the value of k?
Add 7 x 10−6 and 2.1 x 10−5
Answer:
Step-by-step explanation:
70-6+21-5
64+16
=80
The function f is given below. Find f-¹(z) and evaluate f-¹(-6).
Answer:
find the formula of the inverse function of a given function. For example, find the inverse of f(x)=3x+2.
Step-by-step explanation:
In order to solve the equation −3x + 6 = 5, the first step is to
Meera works at the zoo's information desk. The total amount of time she spends giving directions is equal to 4 times the total amount of time she spends answering phone calls plus twice the amount of time she spends answering the phone and responding to emails. Which simplified expression represents the amount of time Meera spends giving directions?
A. 12a + r
B. 8s + r
C. 4a + 2 (a + r)
D. 6a + 2r
The simplified expression represents how much Meera spends giving directions is D. 6a + 2r.
What is a simplified expression?A simplified expression is a mathematical expression that has completed the mathematical operations of adding, subtracting, multiplying, and dividing with the known values.
Given a simplified expression, the work left would be to fill in the independent variables.
Data and Calculations:The total time spent answering phone calls = a
The total time spent responding to emails = r
The total time spent giving directions = 4a + 2(a + r) = 6a + 2r
Thus, we can conclude that Meera spends six times the amount she spends answering the phone and two times the time she spends responding to emails to give directions.
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1. For any integer x, x²-x will always produce an even value. True or false?
For any integer x, x²-x will always produce an even value is TRUE in all sense.
As per the question statement, we are given an expression [tex]x^{2} -x[/tex] and asked about the validation of the statement, "For any integer [tex]x[/tex], [tex]x^{2} -x[/tex] will always produce an even value.
Lets first take a positive value say [tex]x=3[/tex], which is an integer also
[tex]x^{2} -x\\=3^{2} -3\\=9-3\\=6[/tex]
which is an even number.
Now lets take a negative value say [tex]x=-7[/tex], which is an integer also
[tex]x^{2} -x\\=7^{2} -7\\=49-7\\=42[/tex]
which is an even number also.
Hence the statement "For any integer x, x²-x will always produce an even value" is TRUE in all sense.
Integer: Set of whole numbers that can be positive, negative and zero as well.Even number: Any number divisible by number 2 is an even number e.g., 2, 4, 6, 8, 0To know more about integers, click on the link given below:
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The Chen family and the Aoki family each used their sprinklers last summer. The water output rate for the Chen family's sprinkler was 40L per hour. The water output rate for the Aoki family's sprinkler was 25L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 2000L. How long was each sprinkler used?
Answer:
Chen family used the sprinklers for 25 hours
Aoki family used the sprinklers for 40 hours
Step-by-step explanation:
Let C be the number of hours the Chen family used the sprinklers and let A be the number of hours the Aoki family used the sprinklers
Total hours used
=> C + A = 65 (1)
Total water usage for Chen family = 40C (40 L per hour x no. hour)
Total water usage for Aoki family = 25C (25 L per hour x no. hours)
Total used by both families = 2000 L
So
40C + 25A = 2000 (2)
Therefore we have two equations in 2 variables which can be solved simultaneously
Multiply (1) by 25:
==> 25C + 25A = 25 x 65
==> 25C + 25A = 1,625 (3)
Subtract (3) from (2) to eliminate the A term:
(2) - (3) ==>
40C + 25A - (25C + 25A ) = 2000 - 1625
40C + 25A - 25C - 25A = 375
40C - 25C = 375
15C = 375
C = 375/15
C = 25
So the Chen family used the sprinklers for 25 hours
Since C + A = 65
A = 65 - C
==> A = 65 - 25
A = 40
The Aoki family used the sprinklers for 40 hours
Find the area of a rectangle that has a length of (x + 5) and a width of (x-3)
Answer:
(x^2+2x-15) units
Step-by-step explanation:
Area=LW
=(x+5)(x-3)
=x^2-3x+5x-15
(x^2+2x-15) units
What is the missing table value?
A. 9.4
B. 9.84
C. 10.16
D. 11.2
Answer: the answer is C. 10.16
Step-by-step explanation: on the right each value is going up by 2.54 cm so for the forth row on the right you just need to multiply 2.54 x 4 which equals 10.16
hope this helps
The value of X is represented with a point 4 unit to the left of 0
The x coordinate will be -4 for the expression "a point 4 unit to the left of 0".
We are given an expression:
" a point 4 unit to the left of 0 "
We need to find the value of x coordinate for this expression.
In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.
We can write the expression as:
4 unit to the left of 0 will be - 4
So the point becomes:
( - 4 , 0)
So, the x coordinate becomes,
x = - 4
Therefore, the x coordinate will be -4 for the expression "a point 4 unit to the left of 0".
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FIND THE ERROR Grant read the following axioms for a video game he is playing.
. There are four keys hidden on each level.
Each level ends when the player collects the third key.
.
• The game has 10 levels.
.
From these axioms, Grant concluded:
• to complete the game, he will need to find 30 keys.
.
. there are 40 keys in the game.
• he can collect all 40 keys in the game.
Are Grant's conclusions correct? Explain your reasoning.
Step-by-step explanation:
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6. You and 4 friends purchased ice cream sodas. Tickets cost
$6.85 each. What would be the total cost? How much
change would you receive from $40?
Answer:
total = $27.40, change = $12.60
Step-by-step explanation:
6.85 x 4 = 27.40
40.00 - 27.40 = 12.60
2 10 points
Sutton's cellphone plan calculates her bill by using the function, b (z) = 0.05x+75, where x is the number of minutes she uses the phone. What is her bill if she uses her
phone for 10000 minutes?
If she uses its phone for 10000 minutes, her cost will be $575.
What is linear equation:The typical form for two-variable linear equations is Ax+By=C. For example, 2x+3y=5 is a common linear equation. It is rather simple to find both intercepts when an equation is stated in this way (x and y).
According to the given data:The function b (z) = 0.05x+75,
value of x = 10000 minutes
Now putting the value of x into the equation we get:
b (z) = 0.05x+75,
b (z) = 0.05(10000)+75,
b (z) = 0.05(10000)+75,
= 500 + 75
b (z) = 575
The bill if she uses her phone for 10000 minutes = 575.
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Evaluate the expression when y =5 and x = 7
4y + x
Answer:
i believe it is 27.
Step-by-step explanation:
since y = 5 and x = 7, what you would do is 5×4+7. which equals 27
does the function f(x)=(0,68)^x represent exponential growth, decay ,or neither
The given function represents exponential decay.
In mathematics, exponential decay refers to the process of decreasing an amount at a constant percentage rate over time.If a quantity diminishes at a rate proportionate to its present value, it is susceptible to exponential decay.The given function is f(x) = (0.68)^xFor the numbers between 0 and 1, with an increase in the power of the number, the final value decreases.In the given function, 0.68 is greater than 0 but less than 1.As we increase the value of its power, i.e., "x", the value of the function decreases.A graph of the function has been attached below for better visualisation.To learn more about functions, visit :
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The air temperature at 9am is -5.8 degrees Celsius the air temperature at noon is -1.6 degrees Celsius what change in the temperature during these three hours?
The change in the temperature during these three hours will be -4.2° Celcius.
How to calculate the value?From the information, the air temperature at 9am is -5.8 degrees Celsius and the air temperature at noon is -1.6 degree.
Therefore, the change in the temperature during these three hours will be:
= -5.8 - (-1.6)
= -5.8 + 1.6
= -4.2° Celcius
Therefore, the change in the temperature during these three hours will be -4.2° Celcius.
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Idrissa collected pennies in a fundraiser. He measured the mass of all the pennies he collected to be 2,400 grams. Two pennies put together have a mass of 5 grams. How much money did Idrissa raise in this fundraiser?
Answer: Idrissa collected 240 pennies
Step-by-step explanation:
2400/5=480
How many sophomores do not do homework
Answer:
25%???
Step-by-step explanation:
HELLPPPP!!!!!! If the parent function f(x) = |x| is transformed to h(x) = |x| + 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
h(x) is a translation upwards of 2 units of f(x), and the new range of the function h(x) will be [2, ∞)
What transformation is applied to f(x)?
We know that f(x) is the parent absolute value function:
f(x) = |x|
It is transformed so we get:
h(x)= |x| + 2
Remember that a vertical translation of N units is written as:
h(x) = f(x) + N
if N > 0, the translation is upwards.if N < 0, the translation is downwards.Then h(x) is a translation upwards of 2 units of f(x), and the new range of the function h(x) will be [2, ∞)
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HELP PLSSS
THE CORDINATE OF POINT T ARE (2,-14). The midpoint of segment ST is (2,-8). Find the coordinates of point s
Answer: f xc
Step-by-step explanation:
fff eeffffff
Armando’s home insurance has
a $2,500 deductible per incident. This means that he
pays $2,500 and the insurance company will pay all
costs beyond $2,500. If Armando files a claim for
$19,400.
a. how much will he pay?
b. how much will the insurance company pay?
Answer:
a. Armando pays 2500
b The insurance pays 16900
Step-by-step explanation:
Armando has to pay 2500 always and the insurance company will pay all thats left to pay is what i understand by the question and the total payment both have to do is 19400.
19400
2500 = 16900
Martín y Paulina realizan una inversión en acciones con la misma cantidad de dinero. Martín ganó
$ 8.000 y Paulina perdió $ 6.000; de tal manera que la cantidad que le quedó a Paulina es la tercera
parte de lo que le quedó a Martín.
Determine una expresión algebraica que represente la situación planteada.
i said right foot creep owww walking with that heat walk walking around stay low make sure that don't see
A
3. An arithmetic sequence a begins 11, 7,...
a. Write a recursive definition for this sequence using function notatio
b. Sketch a graph of the first 5 terms of a
We get the function notation as aₙ = 15 - 4 n for the arithmetic sequence beginning with 11, 7,...
We are given an arithmetic sequence:
11, 7, …
We get from the sequence that:
a = 11 ( initial term )
d = 7 - 11 = - 4 ( common difference )
Now the nth term will be given as:
aₙ = a + (n - 1) d
aₙ = 11 + (n - 1) ( - 4 )
aₙ = 11 - 4 n + 4
aₙ = 15 - 4 n
Third term = 7 - 4 = 3
Fourth term = 3 - 4 = - 1
Fifth term = - 1 - 4 = - 5
Therefore, we get the function notation as aₙ = 15 - 4 n for the arithmetic sequence beginning with 11, 7,...
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What is the product?
Answer:
yo mom
Step-by-step explanation:
<
Determine if the expression 5a²b is a polynomial or not. If it is a polynomial, state
the type and degree of the polynomial.
Yes, it is a polynomial
The degree of the polynomial is 2
and it is a Quadratic polynomial
A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. It is made up of indeterminates (also known as variables) and coefficients.[tex]x^{2}[/tex]− 4x + 7. is an illustration of a polynomial with a single indeterminate x. Three-variable example: [tex]x^{3}[/tex]+ 2xy[tex]z^{2}[/tex] − yz + 1..
Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.
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Find the standard form of the equation of the circle with endpoints of a diameter at the points
(3, 6) and (-11, 8).
Answer:
Hello,
Answer: (x+4)²+(y-7)²=50
Step-by-step explanation:
center=((3+(-11) )/2,(8+6)/2)=(-4,7)
radius²=(3-(-4))²+(6-7)²=49+1=50
Equation:
(x+4)²+(y-7)²=50
− 24 − (4x − 6) = − 2(− 8 x− 11)
A common wrong answer to this equation is x = − 7/20. This student does not
understand the distributive property. Show steps how a student would get this
answer. Explain in detail what the student did wrong and what they don’t
understand about the distributive property.
please help fast!!!
Answer:
-24 - 4x + 6= 16x + 22
-29 -22 = 16x +4x
-51 = 20x
x= -51/20
*
A company has learned that by pricing a newly released toy at $7, sales will reach 1500 per day. Raising the price to $9 will cause the sales to fall to 1000 per day. Assume that the
ratio of change in price to change in daily sales is constant and let x be the price of the toy and y be the number of sales
a. Find the linear equation that models the price-sales relationship for this toy. (Hint: The line must pass through (7,1500) and (9,1000)]
b. Use this equation to predict the daily sales of the toy if the price is set at $8.50
a. Find the linear equation that models the price-sales relationship for this toy
(Simplify your answer)
b. Predict the daily sales of the toy if the price is set at $8.50.
toys
(a) The linear equation that models the price-sales relationship for this toy is y = -250 x + 3250 .
(b) The daily sales of the toy if the price is set at $8.50 will be $1125
Slope for two points is given by m = y₂ -y₁ / x₂ - x₁ where ( x₁, y₁) are the coordinate of first point and (x₂, y₂) are the coordinate of second point.The most common variety of linear equations is in slope-intercept kind, that is pictured as y = mx + b where, m is that the slope of the road, b is that the y-intercept , x and y are the coordinates .An equation may be a statement, that has AN equal sign (=) between the pure mathematics expression. Linear equations are the equations of degree one.
(a) Let "x " be the price of the toy and "y" be the number of sales.
Then equation is given by y = mx + c .......(1)
It is given that ($7, 1500 sales/day) and ($9,1000 sales/day).
Using slope formula , for these two points , we get
m = 1000 - 1500 / 9 -7
= -500 / 2
= -250
Putting x = 7 and y = 1500 and m = -250 in equation (1) , we get
1500 = (-250)(7) + c
1500 = - 1750 +c
c = 3250
Putting c = 3250 and m = -250 in equation (1) , we get
y = -250 x + 3250 ........(2)
(b) Put x = 8.50 in equation (2) , we get
y = -250(8.50) + 3250
= -2125 + 3250
= $ 1125
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