Answer:
(-6, 14)
Explanation:
Given the coordinate point on the quadilateral located at (-5, 6)
If this coordinate is traslated to the left by 1 units and up by 8 units, then the ordered pair of the new vertex will be expressed as;
A(-5, 6)
= A'(-5-1, 6+8)
= A'(-6, 14)
Hence the new ordered pair will be located at (-6, 14)
Assume that x is a positive acute angle.
Given: sin x =28/53
Find: sin 2x
Answer:
its sophisticated but answer is 3
Step-by-step explanation:
you have to dive deep into it and research
if it is given that "x" is 23.5 - proof that it is a point of intersection at y= 1/2(x) - 25 if y is equal to 11. been trying but not working out.
When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.
Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.
The equation is given as y = 1/2(x) - 25
When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25
This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)
On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.
Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.
In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).
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Write an equation of a line with the given slope and y-intercept.
m= -1/4, b= 5/4
Answer:
y=-1/4x+5/4
Step-by-step explanation:
M is equal to the X in the middle of the equation. B is equal to the Y Intercept. Hope this helps! If you're still having trouble understanding this, I would look up "Slope Intercept Equations" on (Y o u t u b e) and watch a video about it.
0.059 and 0.01 which is greater?
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
a student claimed that the function shown in the table is exponential. do you agree or disagree? explain
The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."
To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.
The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).
The constant ratio between consecutive x-values indicates exponential growth or decay.
In this case, the function is growing exponentially because the y-values are increasing at a constant rate.
Based on this information, we can conclude that the function is exponential.
Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."
The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.
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The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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please help me thank you so much
Answer:
1)
7+9-15 = add 7 and 9, then subtract 15
2)
15-(7+9) = The sum of 7 and 9 subtracted from 15
3)
15-(7+9) = subtract 7 from 15, then add 9
Step-by-step explanation:
Learn BODMAS. The order of how to do equations. A simple tutorial on yt should be sufficient
Can you determine the solution of |9x + 8| ≥ -5 without solving? Explain.
Choose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30
Answer:
5 13 and 10
blue cheese
what is the equation of a line that passes through the points (2,5) and (4,3)
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
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please help me solve thisThe value of the slope is 2.
The slope of a line
Given two points through which a line passes A(x1,y1), B(x2,y2), the slope of the line can be calculated with the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)We are given the point A(-4,-8) and the (incomplete) point B(?,1). Knowing the slope is m=2, we can calculate the missing value at point B. Let's call it x: B(x,1).
Substituting all the values in the formula of the slope, we get:
\(2=\frac{1-(-8)}{x-(-4)}=\frac{9}{x+4}\)Operating:
\(\begin{gathered} 2(x+4)=9 \\ 2x+8=9 \end{gathered}\)Solving for x:
\(\begin{gathered} 2x=9-8=1 \\ x=\frac{1}{2} \end{gathered}\)The missing value is 1/2, thus point B is B( 1/2 , 1 )
(x-3) (x2+2x+1)
Foil method
Step-by-step explanation:
(x-3)(x^2+2x+1)
=x^3-3x^2+2x^2-6x+x-3
=x^3+2x^2-3x^2-6x+x-3
=x^3-x^2-5x-3
___________
prove that (81/16)^-3/4 ×[(25/9)^-3/2 ÷ (5/2)^-3]=1
Answer:
First write them in positive exponent form
(16/81)¾ × [ (9/25)^3/2 ÷ (2/5)³ ]
(2⁴×¾)/ (3⁴×¾) × [ (3² × ^3/2) / (5² ×^3/2) ÷ 2³/5³)
Simplify the terms
2³/3³ × ( 3³ / 5³ ÷ 2³/5³)
Solve the terms in the bracket
2³/3³ × (3³/5³×5³/2³)
You will get
2³/3³ × 3³/2³ = 1
They will cancel each other so the answer will be 1
Hope this helps.
A mass of 4 grams and velocity of 7 centimeters per second has a kinetic energy of
ergs.
Answer:
3.5
Step-by-step explanation:
because 7÷4 is 3.5 because seven division of 4 is three point five
A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of eight cars form this company have an average gas mileage of 25.5 miles per gallon and a standard deviation of 1 mile per gallon. At α=0.06, can the company’s claim be supported, assuming this is a normally distributed data set?
Answer:
\(t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414\)
The degrees of freedom are given by:
\(df=n-1=8-1=7\)
The p value for this case is given by:
\(p_v =P(t_{(7)}<-1.414)=0.100\)
Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense
Step-by-step explanation:
Information given
\(\bar X=25.5\) represent the sample mean
\(s=1\) represent the sample standard deviation
\(n=8\) sample size
\(\mu_o =26\) represent the value to verify
\(\alpha=0.06\) represent the significance level
t would represent the statistic (variable of interest)
\(p_v\) represent the p value
Hypothesis to est
We want to test if the true mean is at least 26 mpg, the system of hypothesis would be:
Null hypothesis:\(\mu \geq 25.5\)
Alternative hypothesis:\(\mu < 25.5\)
The statistic for this case is given by;
\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\) (1)
Replacing the info given we got:
\(t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414\)
The degrees of freedom are given by:
\(df=n-1=8-1=7\)
The p value for this case is given by:
\(p_v =P(t_{(7)}<-1.414)=0.100\)
Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense
write the equation of the line that passes through (-7,-4) and (-6,-2) in slope intercept form
Answer:
y = 2x + 10
Step-by-step explanation:
Hi there!
We are given the points (-7, -4) and (-6, -2) and we want to write the equation of the line that passes through these points in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope (m) of the line
The slope can be calculated from 2 points using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points
We have everything we need to find the slope, but let's label the values of the points to avoid any confusion & and mistakes
\(x_1= -7\\y_1=-4\\x_2=-6\\y_2=-2\)
Substitute these values into the formula (note: remember that the formula has subtraction in it!)
m=\(\frac{y_2-y_1}{x_2-x_1}\)
m=\(\frac{-2--4}{-6--7}\)
Simplify
m=\(\frac{-2+4}{-6+7}\)
Add the numbers
m=\(\frac{2}{1}\)
Divide
m=2
The slope of the line is 2
We can substitute that in:
y = 2x + b
Now we need to find b
As the equation passes through both (-7,-4) and (-6,-2), we can use either point to help solve for b
Taking (-6, -2) for example:
Substitute -6 as x and -2 as y into the equation.
-2 = 2(-6) + b
Multiply
-2 = -12 + b
Add 12 to both sides
-2 = -12 + b
+12 +12
___________
10 = b
Substitute 10 as b.
y = 2x + 10
Hope this helps!
Topic: Finding the equation of a line
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Evaluate. (jk - 1 ) + j when j = - 4 and k = 5
Answer:
Step-by-step explanation:
(-4*5 - 1) + (-4)
(-20 - 1) - 4
-21 - 4
-25
Help me please I don’t understand
Answer:
C
Step-by-step explanation:
It says he walked 2(3/4) miles in 2 hours, and it wants to know how far he walked in 1 mile, which would be that number divided by 2.
2(3/4) is the same as 2.75
2.75/2=11/8
which is equivalent to 1(3/8) miles
Answer:
1 3/8
Step-by-step explanation:
Double the denominator and numerator to make the numerator even, then divide the numerator by 2 while not changing the denominator any further. This gives you 1 and 3 eighths. Half of 2 is one, so you combine these to get 1 & 3/8
Using digits 1to 9 fill in the boxes once write largest and smallest absolute value. Then find the decimal equivalent.
The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321. the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.
The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.
To determine the largest absolute value:
We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.
To determine the smallest absolute value:
We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.
To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.
Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.
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I was wondering if someone could answer this :)
Answer:
17
Step-by-step explanation:
2a+30 = 4a-4
+4 +4
2a+34 = 4a
-2a -2a
34 = 2a
÷2 ÷2
a=17
Hope this helps! :)
Answer:
A = 17
Step-by-step explanation:
Opposite angles are congruent in a parallelogram
Hence 2a + 30 = 4a - 4
( Note that we've just created an equation that we can use to solve for a)
We now solve for a
2a + 30 = 4a - 4
Add 4 to both sides
2a + 34 = 4a
Subtract 2a from both sides
34 = 2a
Divide both sides by 2
a = 17
What is the length of XY?
Answer:
XY = 11.25
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
XY/5 = 18/8
XY = 5(9/4) = 45/4
XY = 11.25
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
The following table gives the number of people infected by the flu over a given number of months.
10 1 12 3 4 15 Number of Months Number of People Infected 1 15 13 33 178 180
Describe any trends or patterns that you observe.
a. The number of people infected is decreasing at a steady rate.
b. The number of months is increasing quickly. c. The number of people infected is increasing at a very fast rate.
d. There is no apparent trend or pattern in the table.
Answer:
a I think srry if Rong gzjfzmgxmgzmgxmgzmgzkhdkgdly
Which linear inequality is represented by the graph?
O y < 3x + 2
Oy> 3x + 2
Oy< 1/3x + 2
O y>1/3x+2
Answer:
\(y> 3x + 2\)
Step-by-step explanation:
Hope it is helpful....
The linear inequality that represents the given graph is y > 3x + 2.
The solutions to the graph of the inequalities is given as;
(x, y) = (0, 2)
(x, y) = (-3, -7)
To determine the inequality represented in the graph;
Using option A, when x = 0, y < 2 (this is not same as the graph)Using option B, when x = 0, y > 2 ( same as the graph)Using option B, when x = -3, y > -7Thus, the linear inequality that represents the given graph is y > 3x + 2.
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Please help will give a lot of points
Answer:
how many points will you give?
Step-by-step explanation:
Simplify:
(8x - 5) + (-2x + 7)
A. 6x + 2
B. 6x - 12
C 6x + 12
D. 10x - 12
E 10x + 2
Answer: A) 6x+2
Step-by-step explanation:
I just figured it out
The product of 46 and a number added to the reciprocal of a number squared.
The expression for the given word phrase is
46M + M² + 2 + 1/M²
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = M
Reciprocal of M = 1/M
Now,
46 x (M + 1/M)²
Step 1:
46M + M² + 2 + 1/M²
Thus,
The expression is 46M + M² + 2 + 1/M²
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In 2013, there were 2458 students who successfully completed the obstacle course in PE. If the success rate for completing the obstacle course increases by 1.5% a year, how many students successfully completed the obstacle course, seven years later, in 2020?
Answer:
2,727 students approximately will have completed the obstacule in 7 years, by 2020
Step-by-step explanation:
Final value = Initial value × (1 + Annual Growth Rate)^No. of years × No. of compounding so
\(1.5%=0.015\) = \(0.015\)
\(F = 2458(1+0.015)^7\)
\(= 2727.998796\) or \(2727\)
Hope this helped and is what you asked for :)
You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26