Line BE bisects angle DBC this means that line BE divides Angle DBC into two equal halves.
This means that angle DBE = angle EBC.
This means that angle EBC is also x°
<ABD+<DBE+<EBC=180°(sum of angles on a straight line is 180°)
Plug in the variables and solve for x
\(64 + x + x = 180 \\ 64 + 2x = 180 \\ 2x = 180 - 64 \\ 2x = 116 \\ \frac{2x}{2} = \frac{116}{2} \\ x = 58\)
the value of x is 58°
y = 3x - 12x +9
In standard form?
Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= 3x - 12x +9
To simplify it, you combine the like terms and get your equation in standard form.
The temperature was 61 degrees at sunrise.
By 2:00 PM, the temperature had risen
by 12 degrees. Find the temperature at
2:00 PM
The temperature at 2:00 PM will be 73 degrees
What is temperature ?
Coldness and hotness is measured by temperature which is one of the fundamental units of measurements.
Here, it is given that the temperature at sunrise was 61 degrees and it is find the temperature at 2 P.M which as increase by 12 degrees. Now calculating it by adding 61 degree with 12 degrees :
the temperature at 2:00 PM = 61 degrees + 12 degrees = 73 degrees
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help with 6grade math
or
Joey bought 3 packs of white T-shirts and 5 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 9, and the blue T-shirts come in packs of 7. How many T-shirts did Joey buy in all?
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
85 points -
Answer:
y ≥ -1/2x + 2y > 2x - 3Step-by-step explanation:
Find equations of each line using two points on each and then determine the inequalities.
Line 1Points
(0, 2) and (2, 1)The slope is:
m = (1 - 2)/2 = -1/2The y -intercept is 2.
The line is:
y = -1/2x + 2The shaded region is to the right and the line is solid, so the inequality is:
y ≥ -1/2x + 2Line 2Points:
(0, -3) and (2, 1)The slope is:
m = (1 - (-3))/2 = 2The y- intercept is -3The line is:
y = 2x - 3The shaded region is to the left and the line is not solid, so the inequality is:
y > 2x - 3OLGA went on an 82 mile bike trip last week by Thursday night she travel 64 miles of the total distance which president is reasonable estimate of how much of the trip OLGA completed by Thursday
Answer:Note: This symbol ≈ means approximately.
629 ≈ 600
215 ≈ 200
111 ≈ 100
588 ≈ 600
Now, we add the simplified numbers up: 600 + 200 + 100 + 600 = 1500. So, your answer is D or 1,500.
Step-by-step explanation:PLZZZ GIVE BRAINLYEST HOPE IT HELPS
As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
Yolanda used her graphing calculator to graph y= 3x. Her graph is shown at right. Do you think she
did it correctly? Explain.
I NEED HELP WITH THIS QUESTION PLEASE NO LINKS!!!
Answer:
-1/3
Hope this helps also I would appreciate brainliest is possible please :)
Answer:
c
Step-by-step explanation:
x + 8 + 2x <= 2x + 13
Answer:
X = 15
Step-by-step explanation:
We move all terms to the left:
x+8+2x-(2x+13)=0
We add all the numbers together, and all the variables:
3x-(2x+13)+8=0
We get rid of parentheses:
3x-2x-13+8=0
We add all the numbers together, and all the variables:
x-5=0
We move all terms containing x to the left, all other terms to the right:
x=5
2. (7 points) If f(x) = -5 cosx+xtanx, find df and evaluate if x = pi/4 and dx = 1/24
The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).
To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.
Apply the product rule:
Let u(x) = -5cos(x) and v(x) = xtan(x).
Then, the product rule states that (uv)' = u'v + uv'.
Derivative of u(x):
u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]
Derivative of v(x):
v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]
= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]
Applying the product rule:
(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))
= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Simplify the expression:
df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.
Substitute x = π/4 into the derivative expression:
df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)
Simplify the trigonometric values:
sin(π/4) = cos(π/4) = 1/√2
tan(π/4) = 1
sec(π/4) = √2
Substituting these values:
df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)
Simplifying further:
df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)
= (5π/4√2) - (10π/4√2) - (5/√2)
= (5π - 10π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:
df = (-5π - 5√2)/(4√2) * (1/24)
= (-5π - 5√2)/(96√2)
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64 + __ = 8 (8+4) The underscore is a blank I’m not sure how to do this
Answer:
32
Step-by-step explanation:
Solve the RHS first:
8(12) = 96
64 + ? = 96
64 + 32 =96
Help help help ASAP
Answer:
-8
Step-by-step explanation:
x+2=2(x-1)
_
3
3x+6=2x-2
3x-2x=-2-6
x=-8
if 176 dollars can be exchanged for the 140pounds and 1 pound is exchanged for RS 130 how many dollars can be exchanged for RS 2925
Answer:
Number of dollar = 28.28 (Approx)
Step-by-step explanation:
Given:
176 dollar = 140 pound
1 pound = Rs.130
Find:
Number of dollars in Rs 2925
Computation:
1 pound = Rs.130
Number of pound = 2925 / 130
Number of pound = 22.5 pound
1 pound = 176 / 140
Number of dollar = [176 / 140]22.5
Number of dollar = 28.28 (Approx)
A car is traveling at a rate of 120 kilometers per hour. What is the cars rate in miles per hour? How many miles will the car travel in 2 hours? In your computations assume that 1 mile is equal to 1.6 kilometers
Answer:
150 miles
Step-by-step explanation:
speed = 120 km per hour
1 mile = 1.6 km
speed = 120 km per hr
divide 120 with 1.6 to get in miles=120/1.6
= 75 miles per hour
speed = 75 miles per hour
So, in 1 hr, it can travel 75 miles
the distance traveled by car in 2 hours = 75 * 2 = 150
Result : Speed = 75 miles per hour , distance = 150 miles
J&L Electrical Services had a beginning balance (1 January 2019) in accounts receivable (debtors) of R200 000 and a beginning balance of allowance for credit losses of R4 000. During the financial year (1 January 2019 – 31 December 2019) they delivered services on credit for R660 000 and collected R640 000 from debtors. If J&L Electrical Services estimates that 2% of ending accounts receivable will not be collected, his adjusting journal entry will include a: A. credit to allowance for credit losses of R4 400. B. debit to allowance for credit losses of R400. C. debit to allowance for credit losses of R4 400. D. credit to allowance for credit losses of R400.
The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.
the correct answer is C. debit to allowance for credit losses of R4,400.
To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.
Beginning balance of accounts receivable: R200,000
Services delivered on credit: R660,000
Collections from debtors: R640,000
To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:
Ending accounts receivable = (Beginning balance + Services delivered) - Collections
Ending accounts receivable = (R200,000 + R660,000) - R640,000
Ending accounts receivable = R220,000
Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:
Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage
Allowance for credit losses adjustment = R220,000 * 2% = R4,400
Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:
the correct answer is C. debit to allowance for credit losses of R4,400.
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Please help me answer thisThe question and Options are in the picture below
We have the next inequality
\(-2(x-5)-12\le4+6(x+3)\)\(-2x+10-12\le4+6x+18\)\(-2x-2\le6x+22\)\(\begin{gathered} -2x-6x\le22+2 \\ -8x\le24 \end{gathered}\)we need to clear x because we have a negative number the sign of the inequality will change
\(\begin{gathered} x\ge\frac{24}{-8} \\ x\ge-3 \end{gathered}\)as we can see the mistake was option c.
18+ 4(28) use the properites of operations to evaluate this expressions?
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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For a survey based on 2,700 adults, what is the approximate margin of error? (round your answer to the nearest thousandth.)
The approximate margin of error for a survey based on 2,700 adults, when rounded to nearest thousand is 0.021.
In statistical surveys, the margin of error is a measure of the expected amount of random sampling error that is present in a survey's results. It is a range of values that is likely to contain the true value of the population parameter being estimated, with a certain degree of confidence.
In other words, the margin of error is the amount by which the sample estimate may differ from the true value of the population parameter.
The margin of error is affected by several factors, such as the size of the sample and the level of confidence. A larger sample size typically results in a smaller margin of error because larger samples provide more accurate estimates of the population parameter.
Similarly, a higher level of confidence requires a larger margin of error, since the interval of values that could contain the true population parameter becomes wider as the level of confidence increases.
Assuming a 95% level of confidence, the formula for calculating the margin of error is:
Margin of error = z * sqrt(p * (1 - p) / n)
where:
z is the z-score for the desired level of confidence (1.96 for 95%)
p is the sample proportion, which is the proportion of the sample that exhibits a particular characteristic of interest (e.g., the proportion of respondents who support a certain political candidate)
n is the sample size, which is the number of observations in the sample.
If the sample proportion is not known, it is common to use a value of 0.5, which corresponds to the maximum possible margin of error for a given sample size. This is because the maximum sampling error occurs when the sample proportion is closest to 0.5, which gives the least amount of information about the true population parameter.
To calculate the margin of error for a survey of 2,700 adults, we can assume a sample proportion of 0.5 and a 95% level of confidence. Plugging these values into the formula, we get:
Margin of error = 1.96 * sqrt(0.5 * (1 - 0.5) / 2700)
= 1.96 * sqrt(0.25 / 2700)
= 1.96 * 0.008
= 0.016
Rounding to the nearest thousandth, the approximate margin of error is 0.021. This means that we can expect the survey results to be within plus or minus 2.1 percentage points of the true population parameter, with a 95% level of confidence.
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-13 + 7 - 11 -4y as a sum
Answer:
-17-4y
Step-by-step explanation:
You just have to add the numbers:
-13+7-11=-17
=17-4y
The sum of the terms -13 + 7 and - 11 -4y is -4y - 17.
What is the sum?A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, a thousand, or a million.
Given:
-13 + 7 and - 11 -4y
Calculate the sum of the expression as shown below,
(-13 + 7) + (-11 - 4y)
-13 + 7 - 11 - 4y [In sum, the sign convention will be (+) + (-) = (-)]
Arrange the term as shown below,
-4y + 7 - 13 - 11
Apply the operation as shown below,
-4y + 7 - 24
-4y - 17
Thus, the sum will be -4y - 17.
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The sum of three consecutive even numbers is 120. What is the smallest of the three numbers?
Answer:
Step-by-step explanation:
the consecutive are 39,40,41 and the smallest here is 39
Hope this helped
Mme potatana ask the children to count as a whole class from 1 to 20 Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count. in your view support the method that you find important to enhance the strong number sense. Provide appropriate examples for your chosen method.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
In order to enhance strong number sense in children, there are various methods that can be used.
In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.
Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.
This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.
Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:
1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.
2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.
3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.
Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
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Find the sum of (5.3 x 10^−9) and (8.2 x 10^−10). Write the final answer in scientific notation.
HURRY PLSSSS
\((8.2 \times 10^(^-^1^0^))\)\((5.3\times 10^(^-^9^))\)The sum of \((5.3 \times 10^(^-^9^))\) and \((8.2 \times 10^(^-^1^0^))\) in scientific notation is 1.35 x 10^−8.
To find the sum of \((5.3 \times 10^(^-^9^))\) and \((8.2 x 10^(^-^1^0^))\), we can add the coefficients and keep the same base, which is 10. Adding 5.3 and 8.2 gives us 13.5. Since both numbers are expressed in scientific notation, we need to adjust the decimal point to have one digit to the left of it.
The exponent in scientific notation represents the number of decimal places we need to move the decimal point to the left (for negative exponents) or to the right (for positive exponents). In this case, the exponents are -9 and -10.
Since -9 is larger than -10, we need to adjust the decimal point by 1 place to the left. Therefore, the sum of \((5.3 x 10^(^-^9^))\) and \((8.2 \times 10^(^-^1^0^))\) in scientific notation is \(1.35 \times 10^-^8^\).
Note: Scientific notation is a concise way of representing very large or very small numbers by using powers of 10. It consists of a coefficient (a decimal number between 1 and 10) multiplied by 10 raised to an exponent.
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Calculate the difference and enter it in the box below.
-7 - 9
Answer:
Step-by-step explanation:
-7-9=-16
Ver en español
Pam, the CEO of Zettabyte Tek, set up a $750,000 education fund. She wants to give each employee who takes a computer security class a $350 reimbursement toward the cost of the class. You can use a function to describe the amount of money left in the fund after x employees receive the reimbursement.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.
The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).
What does a simple equation represent?An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.
Workers who complete the computer security course will each receive a reimbursement of $350.
We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.
Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.
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Need help will give brainliest
The equation formed after the transformations is given as follows:
\(g(x) = \frac{1}{6}\sqrt{x + 3}\)
How to obtain the function?The parent function in this problem is defined as follows:
\(f(x) = \sqrt{x}\)
For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:
\(g(x) = \frac{1}{6}\sqrt{x}\)
For the translation left 3 units, we have that x -> x + 3, hence:
\(g(x) = \frac{1}{6}\sqrt{x + 3}\)
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Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
Kathleen hiked to the top of a mountain. She started the hike at 7:25 A.M. It took 3 hours and 45 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Kathleen finished the hike?
Answer: 11:45 am
Step-by-step explanation:
10:15
toget back down 10
;15
Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation and solve the equation to determine how many appointments Maci had.
Part B: Logan made a profit of $235 as a mobile groomer. He charged $75 per appointment and received $40 in tips, but also had to pay a rental fee for the truck of $10 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Logan had.
Maci and 2 appointments and Logan had 3 appointments.
How many appointments did Maci and Logan have?The linear equation that represents the total amount earned by Maci is:
Total amount earned = (amount per appointment x number of appointments) + tips
$170 = ($60 x a) + $50
$170 = $60a + $50
$170 - $50 = $60a
$120 = $60a
a = $120 / $60
a = 2
The linear equation that represents the total amount earned by Logan is:
Profit = total revenue - total cost
Profit = (fee per appointment x number of appointments) + amount received in tips - (rental fee x number of appointments)
$235 = ($75 x a) + $40 - ($10 x a)
$235 = $75a + $40 - $10a
$235 = $65a + $40
$235 - $40 = $65a
$195 = $65a
a = $195 / 65
a = 3
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(07.08)
Given the parent functions f(x) = log₂ (3x - 9) and g(x) = log₂ (x-3), what is f(x) -
g(x)? (2 points)
The function opertaion f(x) - g(x) in the functions f(x) = log₂ (3x - 9) and g(x) = log₂ (x-3) is log₂(3).
What is the function opertaion f(x) - g(x) in the given functions?Given the functions in the questions:
f(x) = log₂ (3x - 9)
g(x) = log₂ (x-3)
f(x) - g(x) = ?
To find the function operation f(x) - g(x), we need to subtract the equation for g(x) from the equation for f(x).
f(x) - g(x)
Plug in the values of f(x) and g(x)
f(x) - g(x)
f(x) - g(x) = log₂(3x - 9) - log₂(x - 3)
We can use the logarithmic identity : log₂(a) - log₂(b) = log₂(a/b) to combine the logarithms:
f(x) - g(x) = log₂[ (3x - 9) / (x - 3) ]
Now we can simplify the expression in the parentheses:
f(x) - g(x) = log₂[(3(x - 3))/(x - 3)]
f(x) - g(x) = log₂(3)
Therefore, the function opertaion f(x) - g(x) = log₂(3).
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