Answer:
z = 21 ; y= 16
Step-by-step explanation:
first of all we have to isolate a variable.
In second expression we can obtain:
3y = 2z+6
y = 2/3 z + 2
now we have to substitute this value in the first equation and solve it
8(2/3z+2)-5z = 23
16/3z + 16 -5z = 23
16z +48 - 15z = 69
z = 21
now we have to substitute z in the second equation:
y = 2/3 (21) +2
y = 14+ 2 = 16
y = 16
Is a²b the same thing as ba² ?
Please explain. Thanks so much!
a²b is the same thing as ba²
b and a are two separate variables lets pretend a is 2 and b is 3
2² * 3 = 4 * 3 = 12
3 * 2² = 3 * 4 = 12
this is the commutative property of multiplication
An expression is defined as a set of numbers, variables, and mathematical operations. The two of the given expressions a²b and ba² are the same.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The two of the given expressions a²b and ba² are the same because if the two of the expressions are expanded then the value of the two expressions will be equal to each other.
Therefore, the two expressions are expanded as shown below,
a²b = a × a × b
ba² = b × a × a
Therefore, the two of the given expressions a²b and ba² are the same.
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7 friends each run an equal part of a 5km relay race. What fraction of a kilometer does each friend complete?
Solution
For this case we can do this:
5/7 km
The reason is because we just need to divide the total distance (5km) by the 7 friends
Find the value of x.
(x + 8)
Answer:
52°
Step-by-step explanation:
This is an equilateral triangle. Therefore all the sides and angles are equal to each other.
We know that,
the sum of the interior angles in a triangle is 180° and in equilateral triangles each angle measured 60° ( 180°/3 ).
Accordingly,
x + 8 = 60
Subtract 8 from both sides.
x = 60 - 8
x = 52°
find the third, fourth, and fifth terms of the sequence defined by
a1 = 1, a2 = 3,
and
an = (−1)nan − 1 + an − 2
for
n ≥ 3.
The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.
The sequence is defined by the following formula:
a1 = 1, a2 = 3,
and
an = (-1)nan - 1 + an - 2 for n ≥ 3.
To find the third term (a3), we substitute n = 3 into the formula:
a3 = (-1)(3)(a3 - 1) + a3 - 2.
Next, we simplify the equation:
a3 = -3(a2) + a1.
Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:
a3 = -3(3) + 1.
Simplifying further:
a3 = -9 + 1.
Therefore, the third term (a3) is equal to -8.
To find the fourth term (a4), we substitute n = 4 into the formula:
a4 = (-1)(4)(a4 - 1) + a4 - 2.
Simplifying the equation:
a4 = -4(a3) + a2.
Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:
a4 = -4(-8) + 3.
Simplifying further:
a4 = 32 + 3.
Therefore, the fourth term (a4) is equal to 35.
To find the fifth term (a5), we substitute n = 5 into the formula:
a5 = (-1)(5)(a5 - 1) + a5 - 2.
Simplifying the equation:
a5 = -5(a4) + a3.
Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:
a5 = -5(35) + (-8).
Simplifying further:
a5 = -175 - 8.
Therefore, the fifth term (a5) is equal to -183.
In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.
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Schedule K-1 (Form 8865) (irs.gov) use this form provided to Natalie Maloney
Schedule K-1 (Form 8865) is used to report the partner's share of income, deductions, credits, and other items for the tax year of a foreign partnership.
Some guidelines for completing the form:Identification information: Fill out the partnership's name, employer identification number (EIN), and address.
Partner's identifying information: Fill out the partner's name, identifying number (usually their taxpayer identification number or TIN), address, and their percentage of ownership in the partnership.
Income items: Report the partner's share of ordinary income, net rental income, gain or loss from the sale of property, and other income items on lines 1-7. Make sure to also include any foreign source income or deductions.
Deductions: Report the partner's share of partnership deductions, such as business expenses, depreciation, and depletion, on lines 8-15.
Credits: Report the partner's share of any foreign taxes paid or other credits on lines 16-21.
Other items: Report any other items that are required to be reported on Schedule K-1, such as guaranteed payments, charitable contributions, and Section 743(b) adjustments, on lines 22-27.
At-risk limitation: If the partnership is engaged in an activity subject to the at-risk rules, report the partner's share of the at-risk limitation on line 28.
Passive activity limitation: If the partnership is engaged in a passive activity, report the partner's share of the passive activity limitation on line 29.
P.S Your question is incomplete, so I gave a general overview of the tax form for better understanding.
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PLS HELP ILL MARK YOU AS BRAINLIEST
Answer:
a= 78
Step-by-step explanation:
To solve subtract:
180-102= 78
Hope this helps!
Answer:
78 is the missing angle
Step-by-step explanation:
180 - 102 = 78
serenity held a fundraiser for her school and raised a total of $500. She received $150 in donations and then an additional $10 for every candle she sold.
Answer:
450 $ in tottle for every candle she sold.
Step-by-step explanation:
Show that the point (å,ä ) is on the perpendicular bisector of the line segment with end points
(Ů,ü ) and (ĝ,ġ )
To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.
1. Determine the midpoint of the line segment:
- The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:
\(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).
2. Calculate the midpoint coordinates:
- Substitute the values into the midpoint formula to find (x_mid, y_mid).
3. Find the slope of the line segment:
- Use the slope formula: slope = (y2 - y1) / (x2 - x1).
Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.
4. Determine the negative reciprocal of the line segment's slope:
- Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.
5. Write the equation of the perpendicular bisector:
- Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.
6. Substitute the point (å, ä) into the equation:
- Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.
7. Verify that the equation holds true:
- If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.
By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).
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Find the length of the third side. If necessary, round to the nearest tenth.
26
10
Answer:
24
Step-by-step explanation:
a^2+b^2=c^2
10^2+b^2=26^2
100+b^2=676
b^2=576
b=24
Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wooden docks and piers, they are now being studied to determine whether the enzyme they secrete will allow us to turn inedible wood and plant waste into biofuel.1 A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72. Give a best estimate for the length of gribbles, a margin of error for this estimate (with 95% confidence), and a 95% confidence interval.
Answer:
The best estimate for the length of gribbles is of 3.1 mm.
The margin of error for this estimate, with 95% confidence, is of 0.2 mm.
The 95% confidence interval is between 2.9 mm and 3.3 mm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
Best estimate for the length of gribbles
The best estimate is the sample mean, that is 3.1 mm.
Margin of error:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.01
The margin of error is:
\(M = T\frac{s}{\sqrt{n}} = 2.01\frac{0.72}{\sqrt{50}} = 0.2\)
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for this estimate, with 95% confidence, is of 0.2 mm.
Confidence interval:
The lower end of the interval is the sample mean subtracted by M. So it is 3.1 mm - 0.2 mm = 2.9 mm
The upper end of the interval is the sample mean added to M. So it is 3.1 mm + 0.2 mm = 3.3 mm
The 95% confidence interval is between 2.9 mm and 3.3 mm.
Factorize 5b2-11b+6=0
Answer:
5b^2-(5+6)b+6=0
5b^2-5b-6b+6=0
5b(b-1)-6(b-1)=0
(5b-6)(b-1)=0
either
(5b-1)=0
5b=1
b=1/5
or
b-1=0
b=1
Step-by-step explanation:
firstly find out the mid term factor i e in above qn 11 should be break down so that its multiple should be coefficient of b and constant and additiqn should be equals to 11 .so we find out 5 and 6
Please help it’s urgent
Answer:
6 m
Step-by-step explanation:
27m^3 /8m^3= 20 m / X
8m^3 × 20 m = 27m^3 × X
160 /27 = X
X = 5.9
= 6
In the equation 3x + 7y = 21, at what point is the x-axis intersected?
To find:
The point at which the equation intersects the x-axis.
Solution:
The point at which the equation intersects the x-axis is the x-intercept.
Change the given equation into the intercept form as follows:
\(\begin{gathered} 3x+7y=21 \\ \frac{3x}{21}+\frac{7y}{21}=\frac{21}{21} \\ \frac{x}{7}+\frac{y}{3}=1 \end{gathered}\)From the equation, it is clear that the x-intercept is 7. So, the point is (7, 0).
Thus, the answer is (7, 0).
Coupon A: $25 rebate on $96 shoes coupon B; 40% off of $96 shoes
Answer: Coupon B is more profitable
Which shows the numbers Nine-tenths, 0.3, 0.8, Five-tenths, and Two-tenths in order from least to greatest?
Answer:
\(\frac{2}{10}, 0.3, \frac{5}{10},0.8,\frac{9}{10}\)
Step-by-step explanation:
Given
\(\frac{9}{10}, 0.3, 0.8,\frac{5}{10}, \frac{2}{10}\)
Required
Order from the least
We have:
\(\frac{9}{10}, 0.3, 0.8,\frac{5}{10}, \frac{2}{10}\)
Express all as decimal
\(0.9, 0.3, 0.8,0.50, 0.20\)
Rearrange from least
\(0.20, 0.3, 0.50,0.8,0.9\)
Express converted numbers as fractions
\(\frac{2}{10}, 0.3, \frac{5}{10},0.8,\frac{9}{10}\)
please help! easy! it is due right now!!
Answer:
3 Cups of flour.
Step-by-step explanation:
Is the data Jamaya collected a random sample if the population is books from her entire household? Why or why not? *Remember that Jamaya picked 15 books from her book shelf in her bedroom.
Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.
In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
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(Diversifying Portfolios MC)
worth points)
Name of Stock Symbol High Low Close
Stock A
105.19 103.25 103.38
Stock B
145.18 143.28 144.05
A
B
Last year, an investor purchase
difference in overall loss or ga
O The difference in overall gain is $207.00.
O The difference in overall loss is $207.00.
O The difference in overall loss is $200.70.
O The difference in overall gain is $200.70.
shares of stock A at $90 per share and 75 shares of stock B at $145 per share. What is the
ween selling at the current day's high price or low price?
The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.
To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.
Stock A:
High price = $105.19
Low price = $103.25
Close price = $103.38
Stock B:
High price = $145.18
Low price = $143.28
Close price = $144.05
The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.
To calculate the selling prices, we need to multiply the number of shares by the respective selling price.
Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50
Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50
Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50
Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00
Now, let's calculate the difference in overall gain or loss:
Difference in overall gain = Selling price at the high price - Selling price at the low price
= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)
= $16,148.00 - $15,908.50
= $239.50
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Does anyone have all the answers for the algebra 4 final exam on Edge?
An equation for a LINE that can be written in standard form, slope-intercept form, or point-slope form is Linear Equation.
Why is Linear Equation Important?Linear equations are useful in research and in many daily applications.
They let scientists to define physical relationships between two variables, make predictions, compute rates, and perform conversions, among other things.
Graphing linear equations aids in identifying trends.
Linear equations are particularly useful in mathematics because they may be used to simulate any real-world phenomenon in which one variable changes at a constant pace in relation to another variable.
As a result, they are extremely valuable for modeling, forecasting, and assessing real-world applications.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
an equation for a LINE that can be written in standard form, slope-intercept form, or point-slope form is ________ ?
the manager of a furniture factory that operates a morning and evening shift seven days a week wants to forecast the number of chairs its factory workers will produce on a given day and shift. the production manager gathers chair production data from the factory and lists whether the production day was a weekday or a weekend (i.e., saturday or sunday), and whether the shift was in the morning or evening.
This type of data can be analyzed using a two-way analysis of variance (ANOVA) to determine the effect of both the day of the week (weekday or weekend) and the shift (morning or evening) on chair production. The manager can use this information to make predictions about future production based on the day of the week and shift.
The manager can start by creating a table to show the average number of chairs produced on each day of the week and shift. Then, a two-way ANOVA can be performed to determine if there is a significant difference in the mean number of chairs produced between weekdays and weekends, and between morning and evening shifts.
If the results of the ANOVA show that there is a significant effect of the day of the week and/or the shift on chair production, the manager can use this information to make more accurate predictions about future chair production. For example, if the results show that chair production is higher on weekdays compared to weekends, the manager can make predictions based on this information and allocate resources accordingly.
It is important to note that other factors such as the availability of materials, number of workers, and machine downtime can also impact chair production and should be considered when making predictions.
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Which value is the same as 6 tenths?
Answer:
6/10 or 0.6
Step-by-step explanation:
Answer:
0.6 or 60%
Step-by-step explanation:
Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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Ruben's football team lost 2 yards, which means went backwards, on their last play. Which integer best represents this?
Answer:
-2
Step-by-step explanation:
Integers can be positive or negative.
Solve for n.
60 = n/3 + 52
Answer:
n = 24
Step-by-step explanation:
60= n/3 + 52
-52. -52
8= n/3
You then take 3/1 times 8 therefore you leave n by itself
n = 24
Find f(3.5) if f(x) = (4x - 2)/10
Answer:
when f=3.5, f(x) = 1.2
Step-by-step explanation:
[4(3.5) -2] / 10 = 12/10 = 1.2
If 12 inches is equivalent to 1 foot, how would you correctly write this proportion? 17 ft =__________in
Answer:
204 inches
Step-by-step explanation:
17ft * 12inches/ft = 204inches
Answer:204
Step-by-step explanation:
17ft = to 204 inches
Which is greater 1/2 cup or 1/3 ? How much greater A. 1/2 cup is greater , 1/5
1/3 cup does not exceed 1/2 cup. While a half cup is equivalent to 8 tablespoons, a third cup is equivalent to 4 tablespoons. So, 1/3 cup is exactly 1/2 of a 1/2 cup. 1 / 5 < 1 / 3 < 1 / 2 .
Which is the bigger fraction 1 3 or 1 5?The fact that 1/3 covers a larger portion of the whole than 1/5 is also extremely obvious. Therefore, 1/3 is greater than 1/5. No, a third of a cup does not equal a full cup. In comparison to a half cup, which is equal to 8 tablespoons, a third cup is equivalent to four. As a result, 1/3 cup is precisely 1/2 of a 1/2 cup. Half is bigger than thirds, hence one half is bigger than one third.
In strictly US volumetric culinary measurement terms, a third of a cup plus two tablespoons and two teaspoons equals exactly one cup. 1/3 cup plus 2 tablespoons and 2 teaspoons equals 1/2 cup in smaller proportions. It is possible to compare fractions with the same denominator by examining their numerators.
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The vertices of a figure are given. What are the coordinates of the image after the given dilation? Identify the type of dilation?
Q (-3,0), R (-3,6), T (4,6), U (4,0)
k=1/3
The new images has vertices Q´(-1, 0), R´(-1, 2), T´(4/3, 2), U´(4/3, 0) and the type of dilation is contraction.
When we dilate the points of a given figure, we simply multiply each x-coordinate and y-coordinate by the scale factor.
Here the points are Q (-3,0), R (-3,6), T (4,6), U (4,0) and the scale factor is
k = 1/3
Therefore,
⇒ Q (-3,0) → Q´ (-3 × 1/3,0 × 1/3) = (-1, 0)
⇒ R (-3,6) → R´ (-3 × 1/3, 6 × 1/3) = (-1, 2)
⇒ T (4,6) → T´ (4 × 1/3, 6 × 1/3) = (4/3, 2)
⇒ U (4,0) → U´ (4 × 1/3, 0 × 1/3) = (4/3, 0)
Thus, the new images has vertices Q´(-1, 0), R´(-1, 2), T´(4/3, 2), U´(4/3, 0) and the type of dilation is contraction
What is dilation?
Dilation is the process of modifying the dimensions of an object or shape by varying some scale variables. For instance, a circle with a radius of 10 units gets shrunk to a circle with a radius of 5 units. This technique is applied in photography, fine art, logo design, and other fields.
Four fundamental categories of transformations exist in geometry.
These are:
RotationTranslationReflectionResizing or DilationLearn more about Dilation
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simplify 9x + 6 - 4x + - 2x + 1 - 15
The expression can be simplifed like this:
\(\begin{gathered} 9x-6-4x-2x+1-15= \\ 9x-4x-2x+6+1-15= \\ 9x-6x+7-15=3x-8 \end{gathered}\)Therefore, the simplified expression is 3x-8
Which is misleading about the data shown on the figure?
Number of members
Look at the photo
The misleading about the data shown on the figure is the clas width
Which is misleading about the data shown on the figure?From the question, we have the following parameters that can be used in our computation:
The histogram
On the histogram, we have the following readings
1 - 2021 - 3031 - 4546 - 65From the above, we can see that
The above readings are not consistent i.e. the class widths are not equal
Hence, the misleading about the data shown on the figure is the clas width
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