Answer:
1/4
Step-by-step explanation:
The change of base formula for logarithms is ...
[tex]\log_b(a)=\dfrac{\log(a)}{\log(b)}[/tex]
__
Using this with the given values, we have ...
[tex]\log_x(y)=\dfrac{\log_p(y)}{\log_p(x)}=\dfrac{5}{20}\\\\\boxed{\log_x(y)=\dfrac{1}{4}}[/tex]
Select the correct answer. If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g? A. -7 and 3 B. -7 and -3 C. -3 and 7 D. 3 and 7
Answer:
C
Step-by-step explanation:
given the factors are (x - 7) and (x + 3)
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 3 = 0 ⇒ x = - 3
What is the solution to the equation 5x + 2(x-4)= 5x + x -10?
03
02
0-2
0-3
Answer:
5x+2x(x-4)=5x+x-10
5x+2x-8=5x+x-10
5x-5x+2x+x=-10+8
x+3x=-2
4x=-2
x=-2
Chapter - logarithms
Please help!!!
Answer:
[tex]\large\boxed{\sf n^2 \ log \ x }[/tex]
Step-by-step explanation:
Given that ,
[tex]\longrightarrow \log \ x + \log\ x^3 + \log \ x^5\ \dots + \log x^{2n-1} [/tex]
As we know that , [tex] \log x^n = n \log x [/tex] , therefore ;
[tex]\longrightarrow \log x + 3\log x + 5\log_x +\dots + (2n-1)\log x [/tex]
Take out log x as common ;
[tex]\longrightarrow \log x ( 1 + 3+5+...+(2n-1))[/tex]
The terms inside the brackets are the sum of first n odd numbers . And we know that the sum of first n odd numbers in n² . Therefore ;
[tex]\longrightarrow \log x (n^2) \\[/tex]
[tex]\longrightarrow \underline{\underline{\red{{ n^2\log x }}}}[/tex]
Option c is correct!
What type of triangle center is shown as point H in the figure?
Answer:
centroid
Step-by-step explanation:
medians of the triangle intersect at point H, making this point centroid.
(essentially, it's the center of the triangle)
Sunil draws a regular hexagon and a convex quadrilateral on a sheet of paper, so that no side of the quadrilateral lies on the same line as a side of the hexagon. what is the maximum total number of points in which the sides of the quadrilateral can intersect the sides of the hexagon?
Maximum total 8 points in which the sides of the quadrilateral can intersect the sides of the hexagon.
A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In case of any regular polygon, all its sides and angles are equal.
A convex quadrilateral is a four-sided polygon that has interior angles that measure less than 180 degrees each. The diagonals are contained entirely inside of these quadrilaterals
Take a look at just one side of the quadrilateral—a straight line. Since we are told that no side of the quadrilateral lies on the same line as a side of the hexagon, the maximum number of times a side of the quadrilateral could intersect the hexagon is 2. We can use a ruler to test this on the image of the hexagon. There is no way to pass a straight line through the hexagon and have it intersect the shape more than 2 times. Therefore, the maximum number of points at which the quadrilateral could intersect the hexagon would be
at 2 points per side, at 2 × 4 = 8 points.
Hence, Maximum total 8 points in which the sides of the quadrilateral can intersect the sides of the hexagon.
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Given that h(-6)=0 for function h(x) = x^4 +8x³ +11x² - 8x - 12
which of the following statements are true?
A (x-3) is a factor of h(x)
B. (x+6) is a factor of h(x)
C. the remainder on division of h(x) by (x+6) is NOT 0
D. the remainder on division of h(x) by (x-3) is 0
Answer:
b
Step-by-step explanation:
when u plug in -6 u get the equation equal to 0 which means x+6 is a factor of that function.
a decimal, and t is the time in years.
1) Emily has $50 in a savings account. The interest rate is 5% per year and is not compounded.
How much will she have in 1 year?
Answer:
52.50$
Given:
⇒ Emily has 50% in a savings account currently.
⇒ Interest rate is 5% per year and is not compounded
To find:
⇒ How much she will have in 1 year
__
steps
⇒ [tex]5\text{percent} \times50[/tex]
⇒ [tex]=\frac{5}{100} \times50[/tex]
⇒ [tex]=\frac{100}{(5\times50)}[/tex]
⇒ [tex]= \frac{250}{100}[/tex]
⇒ [tex]=2.5[/tex]
Now that we have calculated her interest rate per year, we must calculate that added onto her balance in her account before the interest was applied.
⇒ [tex]2.5+50\[/tex]
⇒ [tex]52.50\[/tex]
Therefore, Emily will have 52 dollars and 50 cents in a year.
Which data set could be represented by the boxplot shown? (1 point)
{0, 2, 3, 5, 8, 9, 10, 10, 12}
{2, 3, 3, 4, 5, 5, 8, 10, 10}
{2, 3, 4, 5, 5, 7, 7, 9, 10}
{2, 3, 4, 5, 5, 5, 8, 9, 10
The second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have given a data set and a box plot shown in the picture.
From the boxplot we can see:
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
The second data set:
{2, 3, 3, 4, 5, 5, 8, 10, 10}
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
Thus, the second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
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h = 3 + 31t - 161²
Find all values of t for which the ball's height is 17 feet .
Answer:
t= 31/175 ≈ 5.64516129
Step-by-step explanation:
Refer Pic For Steps....
Hope it Helps!!!
Select the correct answer. Consider the following system of equations.
Solve for x coordinate of solution
It's after -3 and before -4Check given value in options and approximate them
5/2=2.5 13/4=3.3So x coordinate is -13/4
Option C is correct as no one contains -13/4 except C
Answer:
[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]
Step-by-step explanation:
The solution to a system of graphed equations is the point of intersection.
From inspection of the graph:
the x-coordinate of the point of intersection is -4 < x < -3the y-coordinate of the point of intersection is 2 < y < 3As the x-coordinate is negative, this eliminates answer options A and B.
Assessing the x-coordinate of answer options C and D:
⇒ C. -13/4 = -3.25
⇒ D. -5/2 = -2.5
Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:
[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]
help ! i have no idea what to do
Sterling silver is 92.5% pure silver. How many grams of a 90% silver alloy would you need in order to mix it with sterling silver to obtain 500 grams of a 91% silver alloy.
200 grams of sterling silver is needed to make the 91℅ alloy
An equation is mathematical expression that contains an equals symbol. Equations are contain algebra. Algebra is used in maths when you do not know the exact number in a calculation.
given, x + y =500
The number of grams of pure silver in x plus the number of grams of pure silver in y is equal to the number of grams of pure silver in the 500 grams.
The pure silver is given in percentage forms.
Hence, 92.5% (x) + 90% (y) =91% (500)
Substitute y by 500−x in the last equation to write
92.5% (x) + 90% (500−x) =91% (500)
Simplify and solve
92.5x+45000−90x=45500
x=200 grams.
Hence, 200 grams of Sterling Silver is needed to make the 91% alloy.
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what is the price of a $90 mobile phone after a 30% discount
Answer:
$ 63
Step-by-step explanation:
Let the new price ( price after the discount ) be x.
Old price Discount New price
100 30 70
90 30 x
Now we can make an expression like this to solve this
100 ⇒ 70
90 ⇒ x
Use cross multiplication to solve for x.
100x = 70 × 90
100x = 6300
Divide both sides by 100.
x = $ 63
Answer:
Discount: $27.00
Final Price: $63.00
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 90 × 30/100
Discount = 90 x 0.3
You save = $27.00
Final Price = Original Price - Discount
Final Price = 90 - 27
Final Price = $63.00
Simplify this radical
[tex]\sqrt{84} \\\\A: 2\sqrt{21} \\B: 2\sqrt{42} \\C: 4\sqrt{21} \\D: 4\sqrt{42} \\[/tex]
The given radical root 84, the simplification is option B; [tex]2\sqrt{21}[/tex].
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
The given radical;
[tex]\sqrt{84} \\\\\sqrt{42 \times 2} \\\\\sqrt{7\times3\times 2 \times 2} \\\\2\sqrt{21} \\[/tex]
Thus, the correct option is B; [tex]2\sqrt{21}[/tex].
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In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 20 green tickets, 10 yellow tickets and 5 blue tickets. In simplest form, what are the odds against winning less than $10?
A. 1:4
B. 1:5
C. 1:6
D. 6:1
A ratio shows us the number of times a number contains another number. The correct option is C.
What is a Ratio?A ratio shows us the number of times a number contains another number.
For winning less than $10, a person needs to take out a green ticket or a yellow ticket. Therefore, the odds against winning less than $10 are,
(Number of blue tickets) : (Number of green and yellow tickets)
5: 30
1: 6
Hence, the correct option is C.
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I need hard and easy math questions with the answer, i need 10 questions
thnx
Answer:
https://www.khanacademy.org/
Step-by-step explanation:
I am not entirely sure what you mean however if you sign up for this website and go to whichever grade level you need you can practice all you want
Explanation to answer
Answer: 2
Step-by-step explanation:
[tex]{12x+2}=\frac{18+34}{2}\\\\12x+2=26\\\\12x=24\\\\x=\boxed{2}[/tex]
What was k? 200 400 600
Answer:
pls yo give the full question
Question 4(Multiple Choice Worth 1 points)
(02.04 LC)
Write the equation of a line that goes through point (4, 0) and has an undefined slope.
Ox=4
Ox=0
Oy=4
Oy=0
Answer:
Ox=4 is the answer for the question
Lewis wishes to make a scale drawing of his mansion. If his mansion is 50 feet tall, and he wishes to scale is diagram so that 3 inches represent 8 feet, how tall is the mansion on paper?
Answer:
18.75 inches
Step-by-step explanation:
Inches:feet
3. : 8
X. : 50
(Cross multiply)
8x=150
X=150÷8=18.75
If h(x) = 5 + x and (x) =
XE
which expression is equivalent to (kh)(x)?
The value of composite function (koh)(x) is 1/(5+x) after plugging h(x) = 5+x in the k(x) option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The question is:
if h(x)=5+x and k(x)=1/x which expression is equivalent to (koh)(x)
Answer options are:
A).(5+x)/xB). 1/(5+x)C). 5+(1/x)D). 5+(5+x)We have:
h(x) = 5 + x
k(x) = 1/x
To find the composite function:
(koh)(x):
= k(h(x))
= 1/(5+x)
Thus, the value of composite function (koh)(x) is 1/(5+x) after plugging h(x) = 5+x in the k(x) option (B) is correct.
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A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behavior at the designated time in the interval is known as
A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behaviour at the designated time in the interval is known as Planned Activity Check ( PLACHECK)
What is Momentary Time Sampling ?Momentary Time Sampling is a method of recording a student's behaviour ,
It helps in understanding clearly the regularity of a student.
This method is used when the behaviour cannot be easily counted or it is difficult for the teacher to focus to get the exact duration in which the student showed severity to the work.
In easy words , a timer is set and from the start to the end of the timer , it is observed whether the required goal is achieved or not and what is the frequency at which that task is being done in the time interval.
Planned Activity Check ( PLACHECK) is when Momentary Time Sampling is done with the group , It provides the measure of a group behaviour.
Therefore ,
A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behavior at the designated time in the interval is known as Planned Activity Check ( PLACHECK)
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I NEED HELP FAST Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve 24 - 3x = -27.
Dose this tablet represent a function? Why or why not? {(2,1), (2,4), (3,4), (4,2), (5,5)}
Answer:
This mapping isn't a function.
Step-by-step explanation:
A mapping specifies a relation between two sets of items (input and output). For example, a mapping of the form [tex]\lbrace (x_{0},\, y_{0}),\, (x_{1},\, y_{1})\rbrace[/tex] would map the input [tex]x_{0}[/tex] to output [tex]y_{0}[/tex] and map the input [tex]x_{1}[/tex] to output [tex]y_{1}[/tex].
A function is a mapping where each input is associated with exactly one output.
Note that both [tex](2,\, 1)[/tex] and [tex](2,\, 4)[/tex] are in the mapping given in this question. The input [tex]2[/tex] is mapped to more than one outputs. Thus, this mapping isn't a function.
what is equivalent to 7^13/7^7
The equivalent expression to 7^13/7^7 would be 7^6.
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We have given an expression as 7^13/7^7
The equivalent expression;
[tex]\dfrac{7^{13}}{7^7} \\\\7^{13-7}\\\\7^6[/tex]
Hence, The equivalent expression to 7^13/7^7 would be 7^6.
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In the diagram, the measure of angle 6 is 98°.
A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 7?
The measure of angle 7 is 82°.
What is transversal line?
A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry
Given:
angle 6= 98°
As, angle 6 and 7 forms a linear pair then
angle 6 + angle 7 = 180
98 + angle 7= 180
angle= 180-98
angle 7 = 82°
Hence, angle 7 is 82°.
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Translate each description into an algebraic expression. Then, evaluate the expression
using the value shown in the box for the variable.
EXAMPLE: the quotient of 112 and a added to 25 = (112 + a) + 25 = 53
a = 4
w = 10
b=3
x = 11
c = 9
y = 7
d=2
z = 5
1. the difference of 100 and the product of y and 12 =
2. b times the sum of 15 and 37 =
3. 27 added to the product of z and 12 =
4. 135 divided by the product of c and 5 =
5. w to the second power times the quotient of 12 and 4 =
6. 12 times d divided by the difference of 25 and 19 =
7. the product of x and 5 added to 13 =
The value of each algebraic expressions are:
1. 16
2. 156
3. 87
4. 3
5. 300
6. 4
7. 68
What is an Algebraic Expression?An algebraic expression is a mathematical statement involving variables and digits. It is evaluated by plugging in the value of the variables.
1. Product of y and 12 is 12y
100 - 12y
Plug in the value of y
100 - 12(7) = 16
2. b(15 + 37) = b(52) = 3(52)
= 156
3. Product of z and 12 is 12z
12z + 27 = 12(5) + 27
= 87
4. 135 ÷ 5c = 135/5(9)
= 3
5. w²(12/4) = 3w²
= 3(10²)
= 300
6. 12d ÷ (25 - 19)
12d/6 = 12(2)/6
= 4
7. 13 + 5x
13 + 5(11)
= 68
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The table below shows a relationship between x and y values. Which of the following equations describes this relationship?
Answer: C
Step-by-step explanation: Substitute the x’s into C’s equation.
2(0) is 0, 0+1 is 1 so the first row is correct. 2(2) is 4, 4+1 is 5, so the second row is correct. 2(4) is 8, 8+1 is 9, so the third row is correct. And lastly, 2(6) is 12, 12+1 is 13 so fourth row is correct as well. Assuming the rest of the rows follow this pattern, the correct answer should be C.
what is mean by Methods of describing a set please friends help me and which question can come?
Methods of describing a set involve using a roster or set-builder notation to outline it.
What are the methods of describing a setThe two methods of describing a set are:
roster methodset- builder notation methodRoster method describes a set by listing all its elements, separated them by commas and enclosed within brackets.
Set- builder notation method describes a set by describing its elements using mathematical statements
Therefore, methods of describing a set involve using a roster or set-builder notation to outline it.
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2x²-5x-12=0 (simplify solution set)
Answer:
x = 4 or x = -3/2
Step-by-step explanation:
To simplify and solve this, let's use the quadratic formula.
So the format of a quadratic equation is supposed look like this:
[tex]ax^2+bx+c=0[/tex]
Let's find a, b, c:
a is the coefficient of x^2b is the coefficient of xc is the constant termNow let's solve the equation.
Let's solve your equation step-by-step.
2x^2−5x−12=0
For this equation: a=2, b=-5, c=-12
2x^2+−5x+−12=0
Step 1: Use quadratic formula with a=2, b=-5, c=-12.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}[/tex]
[tex]x=\frac{5\pm\sqrt{121} }{4}[/tex]
[tex]x=4[/tex] or [tex]x=\frac{-3}{2}[/tex]
Answer:
x = 4 or x = -3/2