Answer:
x = 1 /2 yz + 3
Step-by-step explanation:
The solution of x is 6z.
To find the solution of x.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given that:
A value or values which, when substituted for a variable in an equation, make the equation true.
x-y/2z = 3
multiply 2z in both sides we get,
2z(x-y)/2z = 3 × 2z
simplify the equation,
x - y = 6z
Add y in both sides we get,
x-y+y = 6z + y
x = 6z
So, the solution of x is 6z.
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Solve for h -110=13+3(4h-6)
Answer:
H= -35/4
Decimal form: -8.75
Explanation:
Subtract 13 from both sides. { -110 - 13 =3(4h - 6) }Simplify -110 -13 to -123 { -123 = 3 (4h - 6) }Divide both sides by 3 { -123/3 = 4h - 6 }simplify 123/3 to 41 { -41 = 4h - 6 }add 6 to both sides { -41 +6 = 4h }simplify -41 + 6 to -35 { -35 = 4h }divide both sides by 4 { - 35/4 = h }switch sides { h= - 35/4 }Gordon runs for 28 minutes on Monday and 43 minutes on Wednesday. Write and solve an equation to find how many more minutes Gordon ran on Wednesday
Compared to Monday, Gordon ran for an additional 15 minutes on Wednesday.
Let x be the number of additional minutes Gordon ran on Wednesday compared to Monday. Then, we can write an equation based on the given information:
43 minutes (Wednesday) = 28 minutes (Monday) + x minutes (additional time on Wednesday)
To solve for x, we can isolate it on one side of the equation:
43 minutes - 28 minutes = x minutes
15 minutes = x
Therefore, Gordon ran 15 more minutes on Wednesday compared to Monday.
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In this lesson, you explained how acts, scenes, and stanzas work together to provide structure and meaning in a drama or poem. Explain how you can apply what you've learned to other dramas and poems you read.
Answer:
The things that you've learnt can be applied to other dramas and poems that you read by showing how all these elements help to show meaning in poems and dramas.
(sidenote: without knowing what other dramas and poems you are reading, this question is quite vague)
Which product is positive?
I NEED THE ANSWER ASAP
Answer:
D
Step-by-step explanation:
the others have a odd number of negatives.
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O GRAPHS AND FUNCTIONSDomain of a rational function: Excluded values
Recall that the domain of a rational function consists of all the real numbers x except those for which the denominator is 0.
The denominator of the given rational function is:
\(d(x)=x^2+11x-18.\)Notice that:
\(\begin{gathered} x^2+11x+18=x^2+2x+9x+9*2 \\ =x(x+2)+9(x+2)=(x+9)(x+2). \end{gathered}\)Therefore d(x)=0 at x=-9 and x=-2, then those values are not in the domain of g.
Answer:
\(x=-9,-2.\)simplify ((a³ - 27) / (a - 3)) (a² - 3a + 9)
Answer:
\(a^{4}\)+9a²+81
Step-by-step explanation:
((a³ - 27) / (a - 3)) (a² - 3a + 9)
determine the equation of a line that is parallel to the line 2x-3y=12 and passes through the point with coordinates (9,0)
Answer:
5x + 24y =45. (9,0)
5×9 +24×0 = 45
45 =45
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\((a\sqrt{b} + c\sqrt{d}) - b\sqrt{a} ) .(d\sqrt{c} - \sqrt{ab} +abc)\)
PLEASE STEP BY STEP EXPLANATION, I PREFER PHOTOS
The simplified expression is adbc - bc - abd√c - b√ad√c + acd√b + cd√ab.
Define distributive propertyIn mathematics, the distributive property is a property of operations that involves multiplying a factor by a sum or difference of terms. The distributive property states that the product of a factor and a sum or difference of terms is equal to the sum or difference of the products of the factor with each term individually. In other words, for any numbers a, b, and c, the distributive property can be expressed as:
a(b + c) = ab + ac
Given expression
(a√b+c√d)-b√a)×(d√c-√ab+abc)
Simplifying the expression
(a√b+c√d-b√a)×(d√c-√ab+abc)
by simplifying the given expression using the distributive property of multiplication:
(a√b+c√d-b√a)×(d√c-√ab+abc)
= adbc + acd√b - abd√c - b√ad√c + cd√ab - bc
= adbc - bc - abd√c - b√ad√c + acd√b + cd√ab
Therefore, the simplified expression is adbc - bc - abd√c - b√ad√c + acd√b + cd√ab.
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Find the area of the figure. Round your answer to the nearest hundredth, if necessary 8cm
Answer:
Step-by-step explanation:
The figure is a semi-circle.
Area of a circle is = π\(r^{2}\)
So area of a SEMI-circle is 1/2π\(r^{2}\)
Given:
d = 8cm -> r = d/2 = 8/2 = 4cm
Area = \(\frac{1}{2}\)π(4)^2 = 25.13 cm^2
a patient is advised to supplement her diet with 3g of calcium per day. The calcium tablets she purchases 300mg per tablet. How many tablets should the patient take per day?
Answer:
Number of tablet needed = 1 tablet
Step-by-step explanation:
Given:
Amount of calcium per day needed = 3 gram
Amount of calcium in a tablet = 300 mg
Find:
Number of tablet needed
Computation:
Number of tablet needed = Amount of calcium per day needed / Amount of calcium in a tablet
Number of tablet needed = 3gram / 300 milligram
Number of tablet needed = 300 milligram / 300 milligram
Number of tablet needed = 1 tablet
expand the logarithm as much as possible. rewrite the expression as a sum, difference, or product of logs. ln (1/g^k) Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, ln(1/gk)
The expression of logarithmic function, f(x) = ln (1/gᵏ) after all possible expansion is equals to the f(x) = - k × ln( g).
In mathematics, the logarithmic function is defined as inverse function to exponent function and defined as f(x) = logₐx where a is base of function. Properties of Logarithmic Functions :
Product Rule : logₐ MN = logₐ M + logₐ N , with the same base, multiply two numbers result add the exponents.Quotient Rule : logₐ M/N = logₐ M – logₐ N, with the same base, divide two numbers result add the exponents.Power Rule : Raise an exponential expression to power and multiply the exponents. Logₐ Mᵖ = p logₐ MZero Exponent Rule, logₐ 1 = 0.We have, a natural logarithmic function, i.e., base = 10, f(x) = ln (1/gᵏ) and we have to expand it. To expand logarithms means write them as a sum or difference product of logarithms. The order to apply rules is quotient rule, product rule and then power rule. So, f(x) = ln (1/gᵏ)
applying quotient rule,
=> f(x) = ln(1) - ln( gᵏ)
Appling power rule,
=> f(x) = ln(1) - k ln( g)
Applying Zero Exponent Rule,
=> f(x) = 0 - k × ln( g)
Hence, the required expansion is f(x) = - k × ln( g).
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Find the volume of this right rectangular prism. [Type your answer as a number.]
Answer:
200m
Step-by-step explanation:
To find volume you multiply each side, length, width, and height. 5 times 4 is 20, and 20 times 10 is 200
PLEASE HELP D: this is due is 14 minutes!!!
Answer:
14 Cups
Step-by-step explanation:
Multiply the denominator and numerator of 2/3 by 64
You will end up with 128/192
Now multiply the denominator and numerator of 3/64 by 3
You will end up with 9/192
Now divide 128 by 9
This equals 14.2222...
However, you can't have a decimal of a cup.
This means Vinny can pour 14 cups of punch
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4 x 107 is
?
times as much as 4 x 10³.
Step-by-step explanation:
I think thats 10 times
Answer: 4 x 10^4
Step-by-step explanation:
4 x 10^7= 40,000,000
4 x 10^3 = 4,000
Now 40,000,000 - 4,000 = 40,000
40,000 converts to 4 x 10^4
PLEASE HELP PICTURE ATTACHED
Answer: Its 48in
Step-by-step explanation:
Love you all. And good luck.
The sum or difference of p and q is the of the x-term in the trinomial.
a. ss. www.
coefficients
Answer:
coefficient..........
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
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So the new coordinates of point C are (1, 2), and the image of Triangle ABC is congruent to the original triangle.
What is triangle?A triangle is a closed, two-dimensional geometric figure with three straight sides and three angles. It is one of the basic shapes in geometry and can be classified based on the length of its sides or the size of its angles. A triangle with all sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle. Triangles can also be classified based on the size of their angles, with an acute triangle having all angles less than 90 degrees, a right triangle having one angle equal to 90 degrees, and an obtuse triangle having one angle greater than 90 degrees.
Here,
To find the new coordinates of point C after the rotation and translation, we need to perform each transformation separately and then combine them.
Rotation:
To rotate a point 180° counterclockwise about the origin, we switch the sign of both coordinates. Therefore, the new coordinates of point C after the rotation are (-3, -2).
Translation:
To translate a point to the right 4 and up 4, we add 4 to the x-coordinate and 4 to the y-coordinate. Therefore, the new coordinates of point C after the translation are (1, 2).
To determine if the image of Triangle ABC is similar or congruent to the original triangle, we need to compare the corresponding sides and angles of both triangles.
Since we performed a rotation of 180°, all the angles in the image triangle are congruent to the corresponding angles in the original triangle. Additionally, since we performed a translation, the sides of the image triangle are congruent to the corresponding sides of the original triangle. Therefore, the image triangle is congruent to the original triangle.
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find the hf heat of formation for acetic acid hc2h3o2 using the following thermochemical data
The heat of formation of HC₂H₃O₂ can be found using thermochemical data given. The heat of formation is energy released or absorbed in the formation of compound from its elements in their most stable states.
To calculate the heat of formation for acetic acid (HC₂H₃O₂), the following thermochemical data can be used:
- Heat of formation of carbon (C) = -394.36 kJ/mol
- Heat of formation of hydrogen (H) = +218.79 kJ/mol
- Heat of formation of oxygen (O) = -249.21 kJ/mol
The equation for the heat of formation of acetic acid is as follows:
HF(HC₂H₃O₂) = 2 x (heat of formation of hydrogen) + 1 x (heat of formation of carbon) + 3 x (heat of formation of oxygen)
Plugging in the values, we get:
HF(HC₂H₃O₂)= 2 x 218.79 + 1 x -394.36 + 3 x -249.21
Therefore, the heat of formation of acetic acid is -824.93 kJ/mol.
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Carson wants to solve this system of equations.
y=x^2+5x−6
y=x−1
Use the drop-down menus to complete the explanation of why Carson’s work cannot be used to find the solution of the system of equations.
Carson's work is correct for solving the equations.
Given that;
Carson wants to solve this system of equations.
y = x² + 5x − 6
y = x − 1
Now, We can solve first equation as;
y = x² + 5x - 6
y = x² + 5x - 6 = 0
⇒ x = - 5 ± √5² - 4×1×- 6 / 2
⇒ x = - 5 ± √25 + 24 / 2
⇒ x = - 5 ± √49 / 2
⇒ x = - 5 ± 7/2
⇒ x = - 5 + 7 / 2
⇒ x = 2/2
⇒ x = 1
⇒ x = - 5 - 7 / 2
⇒ x = - 12 / 2
⇒ x = - 6
Hence, From (ii);
⇒ y = x - 1
At x = 1;
y = 1 - 1
y = 0
At x = - 6;
y = - 6 - 1
y = - 7
Hence, Carson's work is correct.
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4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer.
5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials. Given this assumption, supply the information missing below:
The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:
Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory
Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.
5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:
Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead
Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:
Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor
Without knowing the value for direct labor, we cannot compute the overhead cost.
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Point Q is between Points A and B on AB, which definition, property, or postulate would justify the equation: AQ + QB = AB
10) Bernice recived the followine scores
on 5 Science test : 96, 7, 82, 96
and 89. Which of the following statements
is true
a) The mean and median of the set of
Scores are the same t to sonho
b) The mode of the set score is 96
of The median of the set score is 82
do the mean of the set is greater
than the median
The mode of the set score is 96
The correct answer is b) The mode of the set score is 96.
What is mean, median and mode?The "mean" is the "average" of the set of values.
The "median" is the "middle" value in the list of numbers.
The "mode" is the value that occurs most often.
Now the given scores on 5 Science test are,
96, 7, 82, 96 and 89
So, Sum of all the scores = 96+7+82+96+89= 370
Mean :
Mean = Sum of all the scores / Number of tests
⇒ Mean = 370 / 5
⇒ Mean = 74
Median :
Median is the middle value after rearrangement
So, rearranging the scores we get,
7, 82,) 89,( 96, 96
Hence the median of the scores is 89
Mode :
Mode is the number occurring the most. Since 96 occurs the most, hence the mode is 96.
Thus, from the given option, the correct option is b) The mode of the set score is 96
Hence, the correct answer is b) The mode of the set score is 96.
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You need to purchase a cover for this pool. A company sells covers for
$2.25 per square foot. Based on the area of the pool, how much would
the cover cost? Enter a number only - no symbols.
30
18
18
6
Answer:
1, 215
Step-by-step explanation:
To calculate the cost of the cover, we need to know the area of the pool. Assuming that the pool is rectangular and has the dimensions given by the four numbers provided (30, 18, 18, 6), we can calculate the area as follows:
Area = length * width
Area = 30 * 18
Area = 540 square feet
Therefore, the cover for this pool would cost:
Cost = Area * Price per square foot
Cost = 540 * $2.25
Cost = $1,215
So the cover would cost $1,215.
a landscaper is hired to take care of the lawn and shrubs around the house. the landscaper claims that the relationship between the number of hours worked and the total work fee is proportional. the fee for 4 hours of work is $140.
which of the following combinations of values for the landscapers work hours and total work fee support the claim that the relationship between the two values is proportional?
A. 3 hours for $105 B. 3.5 hours for $120 C. 4.75 hours for $166.25 D. 5.5 hours for $190 E. 6.25 hours for $210.25 F. 7.5 hours for $262.50
The two combinations that shows that the landscapers work hours and total work fee are proportional are: 3 hours for $105 and 7.5 hours for $262.50(option A and F)
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol.
Direct proportion is given by y= kx, where k is the constant and y and x are the variables.
If x represents the landscapers work hours and y represents the total work fee.
y= kx
when y = $140 and x= 4hours
k= 140/4= 35
therefore when x= 3 then y= 3×35=105
similarly when x= 7.5, y= 35×7.5=262.50
Only option A and F obeys the proportional relationship.
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2. Orange muffins require 1 3/4 tablespoons of orange zest. Lemon muffins require 2 1/3 tablespoons of lemon zest. a. How much more zest in in the lemon muffins that the orange ones?
To solve this problem we first need to convert the mixed fractions to improper ones. To do that we need to add the integer part to the fractional part. This is done below:
\(\begin{gathered} orange=1\frac{3}{4}=\frac{4}{4}+\frac{3}{4}=\frac{7}{4} \\ lemon=2\frac{1}{3}=\frac{6}{3}+\frac{1}{3}=\frac{7}{3} \end{gathered}\)Now we need to subtract the lemon zests by the orange ones. For that we will have to change the denominator of the fraction, by using LMC.
\(\frac{7}{3}-\frac{7}{4}=\frac{4\cdot7-3\cdot7}{12}=\frac{28-21}{12}=\frac{7}{12}\)There are 7/12 tablespoons more zest on the lemon muffins.
What’s the answer for this ? 1-2 question
Answer:
Question 1:
A) Parallelogram
B) Right Angled Triangle
Question 2:
Using parallelogram to use properties of parallel lines. To find whether a quadrilateral is parallelogram, first we will write it's coordinates. After writing coordinates, we find slope of each line by slope formula. After this , we compare the slope of equal lines through which we come to know whether they are parallel to eachother or not. After that, if two pairs of lines are parallel, then the given quadrilateral is a parallelogram.
Consider the function f shown. Identify the intervals on which the function appears to be decreasing.
A)
X<-1
B)
x < 0
-1 < x < 1
D)
X>0
E)
X>1
Answer: A.)X< -1 & E.)X>1
Step-by-step explanation:I got this question right on the assignment.
Answer:
x < -1 and x > 1
Step-by-step explanation:
The function is decreasing where the slope is negative.
2 x - 5 + 7 y - 3 = 9 x - 1 - y -8 Solve For X AND Y (SHOW WORK PLEASE)
(Just so people can get points :D)
Answer:
\(\large\boxed{\sf x = \frac{8y+1}{7} }\)
\(\large\boxed{\sf x = \frac{7x-1}{8} }\)
Group the Variable's:
2 x - 5 + 7 y - 3 = 9 x - 1 - y -8
2x -9x + 7y +y = -1 -8 +5 + 3
-7x + 8y = -1
From this find x and y
For X
-7x + 8y = -1
-7x = -1 -8y
7x = 8y + 1
x = (8y +1)/7
For Y
-7x + 8y = -1
8y = -1 +7x
y = (7x -1)/8
Use the Distributive Property to simplify
1/7 x (56 - 1/4)
Leave your answer in simplest form in the form of a/b − c/d
If one of your numbers is a whole number, put a 1 in that denominator
well what i got was:
the exact form: 233/28
decimal form: 7.96428571...
mixed number form: 7 27/28
not sure if this is right at all but i hope it helps at least a little
hi
1/7 * (56 -1/4) = 56/7 - 1/28 = 224/28 - 1/28 = 223 /28
as 223 is prime, it's cannot be simplified. however it 7 +27/28