We know that the expression can be combined into log4(200).
To combine the expression log4(8) + 2 log4(5), we can use the Laws of Logarithms. Specifically, we can use the product rule, which states that log*a(x) + log*a(y) = log*a(x y). Applying this rule, we get:
log4(8) + 2 log4(5) = log4(8) + log4(5^2)
= log4(8 * 5^2)
= log4(200)
Therefore, the expression can be combined into log4(200).
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What is the full table of 4?
After responding to the question, we can therefore say that the numbers in the four-way tables are 4,8,12,16,20,24,28,32,36, and 40.
Describe a table.A mathematical table is a collection of numbers that shows the outcome of a calculation using multiple inputs. data with numbers and descriptions that is arranged in rows and columns. The table and 10 pattern are easy to remember. The following is the order of the numbers:2,4,6,8,10,12,14,16,18,20. Value maps are used to show how different data pieces are related to one another. You can incorporate the values table into your science lecture. Scientists and researchers use tables of values to store data and seek for patterns in that data. Then, this pattern is used in forecasting.
Here,
Thus,
table of four are as follows:
4,8,12,16,20,24,28,32,36 and 40.
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What are the 5 steps in solving rational inequality?
The following are the 5 steps in solving a rational inequality: simplifying the inequality, factoring the numerator and denominator of the inequality, set the numerator and denominator equal to zero.
Solving a rational inequality involves isolating the variable and determining the range of values that make the inequality true.
Simplify the inequality by clearing any fractions: This can be done by multiplying both sides of the inequality by the least common multiple (LCM) of the denominators of the fractions.
Factor the numerator and denominator of the inequality: This can be done to cancel out any common factors between the numerator and denominator.
Set the numerator and denominator equal to zero and solve for the zeros: This can be done to find the values of the variable that make the numerator and denominator equal to zero.
Test the zeros and any critical values: This can be done by substituting the zeros and critical values back into the inequality and determining if they make the inequality true or false.
Plot the solution on the number line: This can be done by plotting the zeros and critical values on a number line and shading the region that makes the inequality true.
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write the slope intercept form of the equation of a line with a slope of -5/8 that passes through the point (-14, 6)
Answer:
Step-by-step explanation:
Slope intercept for y=mx+b
point it passes (-14, 6) wherein b (0, b) is b=6
slope m = -5/8
substitute: y = mx+b
y= (-5/8)x+6
Can someone please help me with problem 6 of this assignment?I included the measurements of the triangle so that you are able to solve it accurately.
Geometry Topic: 6.1 - 6.4 Constructing Parts and Centers
Problem 6 Directions: Remember! Triangle centers may be outside the triangle. Locate the orthocenter of each triangle by finding the intersection of the altitudes.
Answer:
see drawing
Step-by-step explanation:
The following bar graph summarizes the weather conditions in Crayonton for each day this month so far.
The reasonable estimate of the probability that it is sunny tomorrow is 25%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Probability of an event is calculated by dividing the number of desirable outcomes by the total number of events possible.
From the graph, we have,
Number of days weather is sunny = 3
Total number of days = Days weather is sunny + Days weather is cloudy + Days weather is rainy + Days weather is snowy
Total number of days = 3 + 5 + 2 + 2 = 12
Probability that weather is sunny = 3 / 12 = 1/4 = 0.25 = 25%
Hence there is a 25% probability that weather is sunny.
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The complete question is as follows :
The following bar graph summarizes the weather conditions in Crayonton for each day this month so far. Based on this data, what is a reasonable estimate of the probability that it is sunny tomorrow? Choose the best answer.
25. Higher Order Thinking How are the ratios 24 laps 1 hour different? 192 laps 8 hours alike? How are they different?
These ratios are different because they express the number of laps for two different numbers of hours.
How do these ratios compare?To better understand how these ratios compare, let's simplify the second ratio:
192 laps/ 8 hours = 24, which means the ratio would be 24 laps per hour
This means that the ratios express the same number of laps per hour.
What makes the ratios different?Basically, the two ratios tell us the number of laps but using different hours. In this way, the first ratio expresses the number of laps in only one hour, while the second ratio amplifies this ratio to eight hours.
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Marty is making a layaway purchase of a $2,050 sofa at Frank's Furniture Store. He will be paying $173.19 every 2 weeks for 32 weeks on a layaway plan. What is
the layaway fee for this purchase?
$721.07
$721.06
$721.04
$721.05
Answer:
Step-by-step explanation:
The layaway fee for this purchase should be considered as the $60 when the purchase should be done.
Marty is making a layaway purchase of a $1,500 couch at Frank’s Furniture Store. He will be paying $156 every 2 weeks for 20 weeks
So, it can be like
= $1,560 - $1500
= $60
The layaway fee for this purchase should be considered as the $60 when the purchase should be done.
I'm not sure how to solve it
Answer: x = 3; y = -2
Step-by-step explanation:
Simultaneous Equations:
3^(2x) x 3^(3y) = 3^0
2x + 3y = 0
2^(2x) x 2^(-0.5y) = 2^7
2x - 0.5y = 7
2x = -3y
-3y - 0.5 y = 7
y = -2
x = 3
Answer:
x=3 y=-2
Step-by-step explanation:
its at the bottom of the page ♂️♂️
The most Lastri can afford to pay per year in mortgage payments is $13,900, and her credit score is 498. According to the following table for a $150,000 mortgage, by how many points would she need to improve this credit score in order to take a mortgage for $150,000?
According to the table for a $150,000 mortgage, Lastri's credit score needs to improve by 62 points for her to take a mortgage for $150,000.
What is the credit score?The credit score refers to an individual's or entity's creditworthiness rating.
The credit score predicts a person's credit behavior and ability to repay credit.
Financial institutions and lenders use the credit score to determine the amount of credit to offer a borrower, the attached credit risks, and the accompanying interest rate, including monthly payments.
Annual mortgage payments Lastri can afford = $13,900
Monthly payment = $1,158 ($13,900 ÷ 12)
Current credit score = 498
Minimum credit score for a monthly payment of $1,158 = 560
Additional credit score improvement = 62 (560 -498)
Thus, for Lastri to qualify for a $150,000 mortgage, her FICO credit score must improve by 62 points.
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Question Completion:Table
FICO Interest Monthly
Score Rate Payment
720 - 850 5.59% $860
700 - 719 5.71% $872
675 - 699 6.25% $924
620 - 674 7.40% $1,039
560 - 619 8.53% $1,157
500 - 559 9.29% $1,238
What is the area of 8cm and 5cm triangle?
The area of an 8 cm by 5 cm triangle is 20 cm^2.
The area of a triangle is calculated using the formula A = 1/2 * b * h, where b is the length of the base and h is the height. In this case, the base is 8 cm and the height is 5 cm, so the area of the triangle can be calculated as follows:
A = 1/2 * 8 * 5
A = 20 cm^2
Therefore, the area of an 8 cm by 5 cm triangle is 20 cm^2.
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What is the image point of ( 6 , 5 ) after the transformation D 5 ∘ 0 ∘T 0,0 ?
The image point of P(x,y) = ( 6 , 5 ) after applying a horizontal reflection is P'(x,y) = (1, 5).
How to determine the image after transformation?In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:
P'(x,y) = P(x,y) + T(x,y) (1)
Where:
P(x,y) - Original point
T(x,y) - Translation vector
P'(x,y) - Image point
If we know that P(x,y) = (6, 5) and T(x,y) = (5, 0), then the image point is:
P'(x,y) = (6, 5) + (5, 0)
P'(x,y) = (1, -6)
The image point of P(x,y) = (6, 5) after applying a horizontal reflection is P'(x,y) = (1, 5).
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Correct form of the question
What is the image point of (x, y) = (6, 5) after the transformation of translating horizontally the point 5 units to the y-axis?
Please help! Trig!!!!!!!l. Look at the image! And answer the question! Thank u!
On solving the provided question, we can say that - there are 67 numbers less than 100 are divisible by 3, by divisibility test.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
= n(A ∪ B)
= n(A) + n(B) - n(A ∩ B)
= 33 + 50 - 16
= 67
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On solving the provided question, we can say that by trigonometry, t = [tex]4\pi /3[/tex]; x = cos([tex]4\pi /3)[/tex] = [tex]-\sqrt{2}/4[/tex] and y = sin([tex]4\pi /3)[/tex] = [tex]-3\sqrt{2}/11[/tex]
what is trigonometry?The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.
here,
by trigonometry,
t = [tex]4\pi /3[/tex]
x = cos([tex]4\pi /3)[/tex] = [tex]-\sqrt{2}/4[/tex]
y = sin([tex]4\pi /3)[/tex] = [tex]-3\sqrt{2}/11[/tex]
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HELP ME PLEASE!!!!!! Q and R are independent events. if P(Q)=1/8 and P(R)=2/5 find P(Q and R). 19/40,21/40,1/20
Answer:
Step-by-step explanation:do 1/8 *2/5*=
What are the two types of inequality?
There are many different types of inequality, but generally, they can be grouped into two main categories economic inequality and social inequality.
Economic inequality: This refers to the unequal distribution of wealth, income, and resources among individuals or groups within a society. Economic inequality can manifest in various forms, such as income inequality, wealth inequality, and poverty.
Social inequality: This refers to the unequal distribution of social status, power, and privilege among individuals or groups within a society. Social inequality can manifest in various forms, such as discrimination, prejudice, and bias, which can limit opportunities and access to resources for certain groups.
It's important to note that these two types of inequality are often interconnected and can have a significant impact on individuals and groups, leading to reduced opportunities, access to resources, and lower quality of life.
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Please help fast guys
-3x-3y=3 solve by substitution
Answer: x = 2, y = -3
Step-by-step explanation: From the question,
-3x -3y = 3 ---------- this becomes the first equation
Make y the subject
-3y = 3 + 3x
y = (3 + 3x)/ -3 ----------this becomes our second equation
Substitute the value of y into the first equation
-3x -3(3 + 3x) = 3
-3x -9 + 9x = 3
Collect like terms
-3x + 9x = 3 + 9
6x = 12
Divide both sides by 6
6x/ 6 = 12/ 6
x = 2
Substitute x = 2 into the second equation to find y
y = (3 + 3(2) )/ -3
y = ( 3 + 6) / -3
y = 9/ -3
y = -3
Lucas has 36 pages of a book left to read. If he reads 6 pages a day, how many days will it take Lucas to finish the book?
Answer:
6
Step-by-step explanation:
36/6
equals 6
Answer:
6 days.
Step-by-step explanation:
36 total pages
6 page a day
Then:
36/6 = 6
The vertical distance of a falling ball is directly proportional min to the square of the time of the fall. The ball falls 80 m 4 seconds.
(a) Find the vertical distance fallen in 6 seconds.
(b) If the ball is dropped from a height of 240 m, find the time it takes to hit the ground.
Answer:
180 m , ≈ 6.9 seconds
Step-by-step explanation:
let vertical distance be represented by d and time t
given d is directly proportional to t² , then the equation relating them is
d = kt² ← k is the constant of proportion
to find k use the condition , the ball falls 80 m in 4 seconds , then
80 = k × 4² = 16k ( divide both sides by 16 )
5 = k
d = 5t² ← equation of proportion
(a)
when t = 6
d = 5 × 6² = 5 × 36 = 180 m
(b)
when d = 240
240 = 5t² ( divide both sides by 5 )
48 = t² ( take square root of both sides )
[tex]\sqrt{48}[/tex] = t , that is
t ≈ 6.9 seconds ( to the nearest tenth )
What is the secant segment theorem?
The secant segment theorem states that If two secant segments intersect outside a circle, then the product of the secant segment with its external portion equals the product of the other secant segment with its external portion.
A secant is a line on the circle that connects exactly two distinct points on the curve. Secant is not a chord but a chord is part of a secant. Two different secants can intersect each other internally or externally.
Further, the secant segment theorem defines two more theorems or properties and they are:-
The angle formed by two internally intersecting secants in a circle is half the sum of the intercepted arcs.The angle formed by two externally intersecting secants in a circle is half the difference between the intercepted arcs.Arcs are line segment that is part of the circumference of a circle. It is like a smooth curve that joins two points. If an arc is of exactly the half-length of circumference then it is called a semicircular arc.
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Write the rational number as a decimal: 4 1/6
Answer: 4.17
Step-by-step explanation:
.
Plot a point on the coordinate plane to represent each of the ratio values in the table.
The points on the coordinate plane which represent the ratio values given in the table are given attached, where Distance is on the Y-Axis and Time is on the X-Axis.
Ratio data is a type of numerical (quantitative) data. It computes the distance between neighboring numbers on a continuous scale.
While it shares these characteristics with interval data (another form of quantitative data), ratio data is distinguished by the presence of a 'real zero.' In other words, a ratio scale measure of zero is absolute: ratio data can never be negative.
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A traveler is walking on a moving walkway in an airport. The traveler must walk back on the walkway to get a bag he forgot. The traveler's ground speed is 1 ft/s against the walkway and 5 ft/s with the walkway. What is the traveler's speed off the walkway? What is the speed of the moving walkway?
Answer:
this is it
Step-by-step explanation:
hi i dont know can u may answer???????
Answer:
B) 2 5/8 - 1 4/8
Step-by-step explanation:
I'm bad at explaining but I hope this helps!! ₍^ >ヮ<^₎
What is equivalent to 3/4 equal 6/?
The equivalent to 3/4 equal 6/ is 8
What is equivalent fraction?
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent
from the question,
3/4 equal 6/?
Let x represent the unknown value
= 3/4=6/x
We can simplify this by cross multiplying
3x=24
Divide both sides of the equation by 3
3x/3 = 24/3
x=8
Hence the equivalent to 3/4 equal 6/? is 8
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write an expression for “the quoitient of 9 and c
The expression that the quotient of the number 9 and the letter 'c' will be 9 / c.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The quotient of the number 9 and the letter 'c' is written as,
⇒ 9 / c
The expression that the quotient of the number 9 and the letter 'c' will be 9 / c.
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How do you determine if three points are in a straight line in 3D?
To determine if three points are in a straight line in 3D, you can calculate the vector between the first two points and then check if the third point is in the same direction as the vector.
What is straight line?Straight line is a line that extends infinitely in two opposite directions and has no curves or bends. It is the shortest distance between two points and is the basic form of geometry. A straight line is composed of two end points and all the points in between that make up the line. Straight lines are used to create shapes and constructions in mathematics, science and engineering.
If the dot product of the vector and the point is 0, then the three points are in a straight line. Alternatively, you can calculate the area of the triangle formed by the three points and if it is 0, then the points are in a straight line. Another option is to calculate the determinant of the matrix formed by the three points and if it is 0, then the points are in a straight line. Finally, you can calculate the angle between the two vectors formed by the three points and if it is 0, then the points are in a straight line.
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A gymast practices 6 days each week. She practices he same number of hours each day. If she practices a total of 120 in a 4- week period , how many hours each day does she practice.
The gymnast trains 5 hours per day making a total of 120 hours in a 4 week period
What is an equation?An equation is a expression that shows the relationship between numbers and variables.
Let x represent the number of hours practiced per day. A gymnast practices 6 days each week, hence:
Number of hours practiced per week = 6x
If she practices a total of 120 hours in a 4- week period. Therefore:
6x hours per week * 4 weeks = 120 hour
24x = 120
x = 5
The gymnast trains 5 hours per day.
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can you use the angel bisector theorem to solve for m∠TVW?
So, on solving the provided question we can say that in this quadrilateral we know that sum of all angles is 360, so other will be 90 each too.
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here in this quadrilateral
we know that sum of all angles is 360
two of the are 90 each
so other will be 90 each too.
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A jacket costs $75, and it is on sale for 60% off. What is the discounted price of the jacket?
Explain what you did.
Answer:$30
Step-by-step explanation:
$75 jacket is 60% off
Step 1: Plug in numbers
Use is/of=%/100 method
is/75=60/100=45
Step 2: Find the Price of Discounted Jacket
75-45=$30
Answer:
The discounted price of the jacket is $30-----------------------------------
Initial cost is $75 and the discount is 60%.
Subtract 60% to find the discounted amount:
75 - 60% = 75 - 75*60/100 = 75 - 45 = 30find the probablility that the sum of two randomly chosen numbers from the set{0,1,2,3,4,5,6,7,8,9} is no grreater than 10
Answer:
1 /5
Step-by-step explanation:
formulae -
possible outcomes / total chances
2/10
1/5