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Answer: [tex]\textsf{x = 1000}[/tex]
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Given: [tex]\textsf{log(x) = 3}[/tex]
Find: [tex]\textsf{The value of x}[/tex]
Solution: In order to solve for x we need to get rid of the log which means that we need to put it to the power of the same number as the base. When a base isn't displayed it defaults to 10 so we raise everything to the base of 10.
Get rid of log
[tex]10^{\textsf{log}_{10}\textsf{(x)}}} = 10^{\textsf{3}}[/tex][tex]x = 10^{\textsf{3}}[/tex][tex]x = 1000[/tex]Therefore, the final answer would be that x is equal to 1000.
A table of data is given.
x: -2, -1, 0, 1, 2
f(x): 128, 27, 5, 1, 0.1
Which exponential model best represents the data?
A. f(x) = 5(1.2)^x
B. f(x) = 5(0.2)^x
C. f(x) = 2(5)^x
D. f(x) = 2(0.5)^x
The exponential model best represents the data is B. f(x) = 5(0.2)^x
How to determine the exponential model?From the table of values, we have the following points:
(x, y) = (0,5) and (1,1)
An exponential model is represented as:
y = ab^x
Substitute (x, y) = (0,5)
5 = ab^0
5 = a
This gives
a = 5
So, we have:
y = 5b^x
Substitute (x, y) = (1,1)
1 = 5b^1
This gives
5b = 1
Divide by 5
b = 0.2
Substitute b = 0.2 in y = 5b^x
y = 5(0.2)^x
Hence, the exponential model best represents the data is B. f(x) = 5(0.2)^x
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2/6+5/6 as a whole number
Answer: 2/6+5/6 + 1.167
Answer:
1.16
Step-by-step explanation:
Which graph represents this equation?
5y = x + 5
A.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).
B.
A line is graphed in xy plane ranging from negative 8 to 8 in increament of 1. The line raises through (negative 8, negative 2) ,(0,1) and (1,5).
C.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 5, 4), (0, 5), and (5, 6).
D.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 2, negative 5), (negative 1, 0), and (0, 5). need answer quick
Graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the equation of the line:
5y = x + 5
After plotting the line on the coordinate plane.
The above line passes through:
(-5, 0), (0,1), and (5,2)
And the line rises from (-8, -0.5), (-5, 0), (0,1), and (5,2)
Thus, graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.
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Answer: A. A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).
Step-by-step explanation:
Just a question about the problem, dont need the answer if you dont want to solve it, but would 15 be negative? Thats all, Thanks!
[tex]f(x)=x^{2} +15x+3[/tex]
Answer:
[tex]x = -\frac{15}{2}[/tex]
Step-by-step explanation:
Hello!
The formula for the AOS is given to you, and you simply have to plug in the information given by the equation.
Equation of a Parabola (Standard): [tex]y = ax^2 + bx + c[/tex]
Comparing it to our equation:
a = 1b = 15c = 3Plug it in to the AOS formula:
[tex]x = \frac{-b}{2a}[/tex][tex]x = \frac{-15}{2(1)}[/tex][tex]x = -\frac{15}{2}[/tex]You only have to input 15 in to the correct box since the negative sign is already placed for you.
Find the distance between the point (3, 5) and a line with the equation 5 x - 3 y + 10 = 0
The distance between the point (3, 5) and a line with the equation 5x – 3y + 10 = 0 will be 10 / √(34) units.
What is the distance between a point and a line?Let (x₁, y₁) be the point and ax + by + c = 0 be the line.
Then the distance between a point and a line will be
[tex]\rm d = \dfrac{|ax_1 + by_1 + c|}{\sqrt{a^2 + b^2}}[/tex]
The point (3, 5) and a line with the equation 5x – 3y + 10 = 0.
Then the distance between them will be
[tex]\rm d = \dfrac{|5 *3 - 3 *5 + 10|}{\sqrt{5^2 + (-3)^2}}\\d = \dfrac{10 }{\sqrt{34}} \ units[/tex]
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y = 2x² - 9x + 10
solve the following quadratic function by factoring
Which expression has a value of 16 when n = 5?
StartFraction 25 Over n EndFraction + 7
30 minus 3 n
7 + StartFraction 45 Over n EndFraction
n cubed minus 114
Answer:
7+45/n or 5
Step-by-step explanation:
45 divided by n or technically 5 is 9 plus 7 is 16 :)
Answer:7+45/n or 5
Step-by-step explanation:
The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit, what is the area of the shaded region? 13 U 13 U Apothem length: 15.69 O A. 1463 square units B. 816 square units C. 647 square units OD. 764 square units
perimeter of octagon
8(13)104unitsNow area
perimeter×apothem /2104(15.69)/252(15.69)815.88units²Area of square
13²169units²Area of shaded region
815.88-169646.88units²647units²Answer:
C. 647 square units
Step-by-step explanation:
To find the shaded area, subtract the area of the unshaded square from the area of the octagon.
Area of the octagon
[tex]\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}[/tex]
where:
n = number of sidesl = length of one sidea = apothemGiven:
n = 8l = 13a = 15.69Substitute the given values into the formula and solve for A:
[tex]\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}[/tex]
[tex]\implies \textsf{Area}=\sf \dfrac{1631.76}{2}[/tex]
[tex]\implies \textsf{Area}=\sf 815.88\:\:square \:units[/tex]
Area of the square
[tex]\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units[/tex]
Area of the shaded region
= area of the octagon - area of the square
= 815.88 - 169
= 646.88
= 647 square units (nearest square unit)
Find the range of values of x for which
[tex]2{x}^{2} \geqslant 9x + 5[/tex]
See attached images for work.
Work out the area of this triangle
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
baseline and height must be at a right angle with each other.
so, in our case
6 × 11 / 2 = 3 × 11 = 33 cm²
Answer:
Area = 33 cm²
Step-by-step explanation:
[tex]\textsf{Area of a triangle}=\sf \dfrac{1}{2}bh[/tex]
where:
b is the baseh is the height (perpendicular to the base)If we turn the triangle counterclockwise, so that the side that measures 6 cm is the base, we will see that the length that measures 11 cm is the height of the triangle (see attached).
Therefore:
b = 6 cmh = 11 cmSubstitute the found values into the formula and solve for A:
[tex]\implies \sf A=\dfrac{1}{2}(6)(11)[/tex]
[tex]\implies \sf A=\dfrac{1}{2}(66)[/tex]
[tex]\implies \sf A=33[/tex]
Therefore, the area of the triangle is 33 cm²
Rewrite the expression in the form z^n. z x z x z x z x z x z/z x z
Answer:
z⁴
Step-by-step explanation:
(z x z x z x z x z x z) / (z x z)
z⁶ / z² = z⁴
Match each data set with its standard deviation.
Round your answer to the nearest tenth, if necessary.
Click on the link to use the GeoGebra graphing calculator to assist you.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
{74,76,77,77,78,82,130}
{8,74,76,77,77,78,82}
{74,74,76,77,77,78,82}
Answer:
don't know but please keep trying up
Figure it out..............................................
What is the range of this function?
OA. (3, 5, 7, 11)
OB. (-3, 4, 5, 7)
OC. (-3, 0, 3, 4, 5, 6, 7, 11)
OD. (-3, 0, 4, 6)
Answer:
(-3, 0, 4, 6) (option D)
Step-by-step explanation:
The "range" of a function is all possible y-values. In this image, there are x's entered on the left side--which I know to be x values because a function, f(x) is essentially the outcome of what happens when x is entered.
So, the y-values are featured on the right. All of these values are the possible values for y, or, what we call the range.
Meaning that the range of this function is (-3, 0, 4, 6)
What are the solutions of 2x² - 6x+5=0?
Answer:
no solutions
Step-by-step explanation:
we use the quadratic formula.
for an equation ax²+bx+c=0, the solutions for x are:
x = (-b±sqrt(b²-4ac))/2a
in our case, a=2, b=-6 and c=5, so:
x= (6±sqrt(36-40))/4
we see that we get a negative number inside the sqrt, so we have no real solutions
Answer:
No solution
Step-by-step explanation:
1) Use the quadratic formula
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
[tex]2x^2-6x+5=0[/tex]
[tex]a=2\\b=-6\\c=5[/tex]
[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]
2) Simplify
Evaluate the exponent:
[tex]x=\frac{6\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]
Multiply the numbers:
[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]
Subtract the numbers:
[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{-4} }{4}[/tex]
3) No real solutions because the discriminant is negative
The square root of a negative number is not a real number
[tex]d=-4[/tex]
Result
No solution
The star shape is made from a regular hexagon and six congruent equilateral triangles The area of the star shape is 96cm squared Work out the area of the regular hexagon.
Answer:
48 Square Centimeters
Step-by-step explanation:
The red triangular exterior pieces are all equilateral triangles with some side length.
We don't need to know what that side length is. It doesn't matter.
The area of one red equilateral triangle is some area A.
There are 6 of these red triangles, so the red exterior triangular parts combine to a total area of 6*A.
The hexagon is composed of equilateral triangles as well.
Each of these blue equilateral triangles is congruent to any outer red triangle because the side length is the same.
Therefore, the 6 blue equilateral triangles composing this hexagon combine to get a total area of 6*A
The area of the star overall is 12*A because we have 6 blue triangles combining with the 6 red triangles.
There is a total of 12 triangles.
if cospheta =3/5 and pheta is located in the fourth quadrant, then sin2pheta=_____
-8/25
24/5
-24/25
8/25
Step-by-step explanation:
if cospheta =3/5 and pheta is located in the fourth quadrant, then sin2pheta=_____
-8/25
24/5
-24/25
8/25
The correct answer for this question is 8/25
Help! Will mark the big B for correct answer!
Answer:
The answer is A
Step-by-step explanation:
They both have a maximum of 5!
whats is 452 divided by2
Answer:
452/2 = 226
Step-by-step explanation:
45 divided by 2 is 22 and the remainder would be 12, which could be divided by 2 again to get 6. Add this to the total and you get 226.
Hope this helps! :D
Which rule describes a composition of transformations the maps pre-image PQRSto image P”Q”R”S”
The rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)
How to determine the transformation?See attachment for complete question
From the image, we have:
P = (1,1)
Q = (1,5)
R = (3,5)
S = (3,1)
Start by reflecting PQRS across the y-axis. i.e. r y-axis
This is done by
(x, y) -> (-x,y)
So, we have:
P' = (-1,1)
Q' = (-1,5)
R' = (-3,5)
S' = (-3,1)
Next, we rotate by 90 degrees counterclockwise i.e. RO, 90° (x, y)
This is done by
(x, y) -> (-y, x)
So, we have:
P'' = (-1,-1)
Q'' = (-5,-1)
R'' = (-5,-3)
S'' = (-1,-3)
Hence, the rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)
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The Volume of a cube depends on the length of its sides.This can be written in function notation as v(s).What is the best interpretation of V(3)=27
Answer and Step-by-step explanation:
There is a cube with side length 3. The volume of this cube is 27.
Help please asap points an brainlist
Solve for h in A = ½ ah - ½ bh. Solve for h in A = ½ ah - ½ bh .
Answer:
h = A / ( 1/2 a - 1/2 b)
Step-by-step explanation:
A = ½ ah - ½ bh
Factor out an h
A = h( 1/2 a - 1/2 b)
Divide each side by ( 1/2 a - 1/2 b)
A / ( 1/2 a - 1/2 b) = h ( 1/2 a - 1/2 b)/ ( 1/2 a - 1/2 b)
A / ( 1/2 a - 1/2 b) = h
h = A / ( 1/2 a - 1/2 b)
can someone please help mee i need the exact answer(30 points will give brainliest!!!)
The domain of the given graph is [−3, ∞) and the range is (−∞, 4].
We need to find the domain and range of the given graph.
What are the domain and range of the function?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values that it can take.
We can observe that the graph extends horizontally from −3 to the right without a bound, so the domain is [−3, ∞). The vertical extent of the graph is all range values 4 and below, so the range is (−∞, 4].
Therefore, the domain of the given graph is [−3, ∞) and the range is (−∞, 4].
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solve for 2.5w+12 on a graph
x-intercept -4.8
y-intercept 12
slope 2.5
plot points
x y
-2, 7
-1, 9.5
0, 12
1, 14.5
2 ,17
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP
Answer:
C.
Step-by-step explanation:
Adding 2 fractions results in a fraction.
Answer:
B: The sum is a non-terminating and a non-reapeating decimal
Step-by-step explanation:
-11/4 +5/g
There is 15 steps you have to do after (look in the picture)
but this is what you get:
[tex]-\frac{11g-20}{4g}[/tex]
The function h(x) is a transformation of the square root parent function,
f(x)=√x. What function is h(x)?
-5
5
-5-
h(x)
f(x)
K
I
5
Answer: [tex]h(x)=\sqrt{x+4}[/tex]
Step-by-step explanation:
The graph of h(x) is the graph of f(x) shifted 4 units left.
Solve the simultaneous equations below.
7x-6y = 30
2x+6y= 24
Answer:
(x,y)—>(6,2)
Step-by-step explanation:
Add both equations to eliminate y
9x=54
x=6
plug x=6 into either equation
2(6)+6y=24
6y=24-12
y=12/6=2
If it is already 110F degrees below zero, and the temperature drops another 40 F degrees, how cold is it now?
Answer:
-150
or 150 degrees below 0
Step-by-step explanation:
The temp is -110. Dropping another 40 degrees means subtracting 40.
-110 - 40 = -150
Determine the linear function for a graph that is a line with a slope of 1/7
and contains the point
(−4, 1).
The linear equation is y = (1/7)*x + 11/7.
How to get the linear equation?
The general linear equation is:
y = a*x + b
Where a is the slope.
Here we know that a = (1/7), then the line is:
y = (1/7)*x + b
We also know that the line contains the point (-4, 1), this means that when x = -4, we must have y = 1.
Replacing that, we get:
1 = (1/7)*(-4) + b
1 + 4/7 = b
7/7 + 4/7 = b
11/7 = b
So the linear equation is:
y = (1/7)*x + 11/7.
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The equation of the linear function of the line is: y = 1/7x + 11/7.
What is a Linear Function Equation?A linear function equation is modelled as, y = mx + b, where m is the slope and b is the y-intercept.
Slope (m) = 1/7, and the line passes through (-4, 1), therefore, substitute (x, y) = (-4, 1) and m = 1/7 into y = mx + b:
1 = 1/7(-4) + b
1 = -4/7 + b
1 + 4/7 = b
11/7 = b
b = 11/7
Plug in the values of m and b into y = mx + b:
y = 1/7x + 11/7
The equation of the linear function is: y = 1/7x + 11/7
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whats the polynomial of (7x+7)(x+2)
Answer:
okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
will you be my friend
Step-by-step explanation:
.......... okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
