Answer:
\(2g-m=5-gh \: solve \: for \: g\)
\(2g+gh=5+m\)
\(g(2+h)=5+m\)
\(g=(5+m)/(2+h)\)
\(Thank \: you!!!!\)
Simplify the expression below by rationalizing the denominator. When typing your answer be sure to be careful and include the correct signs. Keep in mind that the variables a,b,c,d, e and f can represent a product of a number and a variable. \frac{\sqrt[]{8}}{1-\sqrt[]{3z}} simplifies to \frac{a\sqrt[]{b}+c\sqrt[]{d}}{e- \sqrt[]{f}} Our value for a is AnswerOur value for b is AnswerOur value for c is AnswerOur value for d is AnswerOur value for e is AnswerOur value for f is Answer
Given:
\(\frac{\sqrt[]{8}}{1-\sqrt[]{3z}}\)Simplife:
\(\begin{gathered} =\frac{\sqrt[]{8}}{1-\sqrt[]{3z}} \\ =\frac{\sqrt[]{8}}{1-\sqrt[]{3z}}\times\frac{1+\sqrt[]{3z}}{1+\sqrt[]{3z}} \\ =\frac{\sqrt[]{8}+\sqrt[]{24z}}{1-\sqrt[]{9z^2}} \\ =\frac{2\sqrt[]{2}+2\sqrt[]{6z}}{1-\sqrt[]{9z^2}} \end{gathered}\)The given simplifies equation is:
\(\frac{a\sqrt[]{b}+c\sqrt[]{d}}{e-\sqrt[]{f}}\)After the compare the both inequality:
a=2
b=2
c=2
d=6
e=1
f=9
The 12 department chairs at Cedar H.S. represent the teaching staff. The principal assigns each chair a number and uses a random number generator to select 2 chairs to participate in a retreat at the state capital. Complete the sentence. The scenario is or is not a simple random sample because every group of size 2 in the population has or does not have an equal chance of being selected.
Answer:
is
has
Step-by-step explanation:
Answer:
here's the answer!
Please help with this question I’m confused on it
PLEASE HELPP
A. Triangle ABC is similar to triangle DEF.
B. The value of x is 21.
What are similar triangles?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are items that feature more than two figures that are the same shape but different sizes.
Here, we have
Given a triangle and we have to show both triangles are similar.
A. ABC will be similar to DEF if two sides along with their corresponding angle of ABC is equal to two sides and their corresponding angle of DEF. ABC will be similar to DEF if the corresponding ratios of all sides of both triangles are equal to each other.
Hence, triangle ABC is similar to triangle DEF.
B. By the property of similar triangles,
= AB/DE = AC/DF
= 14/x = 10/15
x = 21.
Hence, the value of x is 21.
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consider the inequality 6x<42.
part A
elizabeth says that any value of x less than 36 makes the equality true.
explain pliss
1. Elizabeth's statement is incorrect because not only values less than 36, but also values equal to or greater than 36 make the inequality true.
2. All values of x less than 7 make the inequality true.
What is inequality?In mathematics, inequality is a relationship or a statement that compares two numbers or expressions that are not equal. It is expressed by symbols such as, >,,, or, which indicate which value is lower, greater, or simply different.
1. Elizabeth's statement is incorrect because not only values less than 36, but also values equal to or greater than 36 make the inequality true. For example, when x is 35, 6x is 210, which is not less than 42. On the other hand, when x is 36, 6x is 216, which is greater than 42, but when x is any value greater than 6, 6x will still be greater than 42.
2. In words, all values of x that make the inequality true are x such that 6 times x is less than 42. We can simplify this inequality by dividing both sides by 6 to get:
x < 7
Therefore, all values of x less than 7 make the inequality true.
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You tie a spherical balloon that is 2 feet in diameter to a
stake in the ground. The string is 15 feet long. The wind
blows and you observe that the top of the balloon is
8 feet over from the stake, as shown in the diagram.
What is the height, b, of the balloon?
Show your work.
15 ft
2 ft
8 ft
Answer:
Step-by-step explanation:
What is the value of the missing number in the sequence below? 2916,672,324, ,36
Answer:
108
Step-by-step explanation:
Given sequence,
\(2916,972,324,---,36\)
Find the missing number in the given sequence.
Clearly here, we have a pattern in the given sequence.
\(\frac{2916}{3}=972\quad \text{and}\quad\frac{972}{3} =324\)
Therefore, \(\frac{324}{3} =108\quad \text{and}\quad \frac{108}{3} =36\)
Hence, the missing number is \(108\).
Find the distance between (-3,2) and (5,-1)
will give brainliest to quickest answer
Answer:
The vertex is option C: (-6, -2)
Step-by-step explanation:
The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)
Pls mark brainliest.
Two county fairs are nearby, and Marc is trying to determine which one would be best to attend. Both fairs sell tickets for rides, food, games and more. Polk County Fair is charging a $10 entry fee, and each ticket costs $2.50. Pinellas County Fair isn't charging an entry fee, but each ticket costs $3.
Answer:
Step-by-step explanation:
It depends on how many tickets Marc will need.
For t tickets, Polk costs 10+2.5t and Pinellas costs 3t.
10+2.5t = 3t
t = 20
If Marc needs fewer than 20 tickets, Pinellas is the more economical choice.
In the past twenty years, scientists have seen the sea level rise at a rate of approximately 0.13 inches per year. If this rate continues, which best represents the change in sea level over the next 27 months (2.25 years)?
–2.925 inches
–0.2925 inches
0.2925 inches
2.925 inches
Answer: C or the third choice 0.2925
I just took the test I got it right!
Step-by-step explanation:
You multiply 0.13 by 2.25
0.13×2.25=0.2925
Answer:
The answer is c
Step-by-step explanation:
I just did a quiz.
Gavin and Jim win some money and share it in the ratio 1:3. Gavin gets £15. How much did Jim get?
Answer:
£7
Step-by-step explanation:
15×203_3[2
w820362
45
Which of the following is equal to the expression (8x)^-2/3 (27x)¯1/3
1) 1/12x
2) 3/4x
3) 12x3
4) 3/4x
The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
How to evaluate the expression?The expression is given as:
(8x)^-2/3 * (27x)^-1/3
Evaluate the exponent 8^-2/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3
Evaluate the exponent (27x)^-1/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3
Multiply 1/4 and 1/3
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3
Evaluate the exponent
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)
This gives
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)
So, we have
(8x)^-2/3 * (27x)^-1/3 = 1/12x
Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
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Cora and Cecilia each use chalk to make their own number patterns on the
sidewalk. They make each of their patterns 10 boxes long and line their patterns
up so they are next to each other.
Cora puts o in her first box and decides that she will add 3 every time to
get to the next number.
Cecilia puts o in her first box and decides that she will add 9 every time to
get the next number.
How many times greater is Cecilia's number in the 5th box than Cora's number in
the 5th box? What about the 8th? What predictions can you make about the
relationship between the values in the rest of the pattern?
Answer:
5th box has 45 for Cecilia and 15 for Cora
8th box has 72 for Cecilia and 24 for Cora
Cecilia's boxes numbers are 3 times of Cora's boxes numbers.
Step-by-step explanation:
This can be completed as follows .
0 1 2 3 4 5 6 7 8 9 10
Cora's boxes 0 3 6 9 12 15 18 21 24 27 30
Cecilia's boxes 0 9 18 27 36 45 54 63 72 81 90
The 5th box has 45 for Cecilia and 15 for Cora which means Cecilia's number is 3 times bigger than Cora's number in the 5th box.
The 8th box has 72 for Cecilia and 24 for Cora which means Cecilia's number is 3 times bigger than Cora's number in the 8th box.
As we see that the difference in numbers is of three times from the beginning to the end. Therefore we conclude that Cecilia's boxes numbers are 3 times of Cora's boxes numbers.
One third the sum of two numbers is 23.If one of the numbers is 29.3,what is the other number
Gene says that -2 is less than -2.25. Is he correct? Explain why or why not.
Answer:
No
Step-by-step explanation:
-2 is closer to zero than -2.25, which means -2 is greater than -2.25
Answer:
wrong the lower you go the less the nember is.
Morrison Corporation is a small company that sells digital thermometers and other supplies to
hospitals in the Phoenix, AZ area. The company employs one sales agent who earns both a
salary and commission. Last year, Morrison Corporation purchased a new Subaru Impreza for
$30,000 for the sales agent to use for 100% business transportation. The company controller
estimated that the Impreza would have a five-year life and a residual value of $6,000. The
company uses straight-line depreciation for all plant assets. The costs for this year specifically
related to the Impreza are insurance for $1,000, fuel for $5,500 and other costs. The controller
estimates that with the increase in fuel costs, that the amount next year for fuel will increase by
12%. The controller believes that the insurance cost will stay constant. The other costs include
maintenance, fixing flat tires, oil changes, tickets, parking, car washes/detailing, etc.
1. Fixed portion of other costs = $112 and variable costs per mile = $0.11 2. Budgeted contribution format income statement: Sales: $1,500,000, Variable Costs: $575,000, Contribution Margin: $925,000, Fixed Costs: $377,120, Net Operating Income: $547,880
3. Break-even sales = $1,112,146.34
4. Volume of sales necessary to meet $250,000 target profit = $1,450,329.34
5. The memo should include a summary of the analysis, the recommendation to increase sales, decrease costs, or both, and specific strategies to achieve the target profit, such as expanding the sales team or exploring new markets.
1. Using the high-low method, the fixed cost is $134 and the variable cost per mile is $0.11.
2. Budgeted Contribution Format Income Statement:
Sales: $1,500,000
Variable Costs:
Cost of Goods Sold: $575,000
Sales Commissions: $450,000
Other Costs: $9,884 ($0.11 x 50,000 miles driven)
Fixed Costs:
Depreciation: $3,800 ($25,000 - $6,000 / 5)
Insurance: $1,000
Fuel: $5,250 ($5,000 + 5% increase)
Other Costs: $1,608 ($134 x 12)
Total Costs: $1,045,542
Net Operating Income: $454,458
3. The break-even sales would be $1,045,542 / 0.55 = $1,901,076.36 (rounded to nearest cent).
4. The necessary sales to achieve a profit of $250,000 would be $1,295,542.86 + $250,000 = $1,545,542.86 (rounded to nearest cent).
5. Dear [Owner's Name], I have completed a budgeted contribution format income statement for Morrison Corporation that includes the costs related to the Impreza. Based on the break-even sales calculation, it is important for the company to reach sales of at least $1,901,076.36 to avoid losses. To meet the profit target of $250,000, the company needs to achieve sales of $1,545,542.86, which is higher than the break-even point. To achieve this goal, the company may consider increasing sales volume by expanding its product line or targeting new customers, reducing variable costs such as sales commissions, or increasing the selling price of its products. Additionally, monitoring and controlling the Impreza-related costs, such as fuel and maintenance, can help to increase the net operating income. Sincerely, [Your Name].
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Complete question is in the image attached below
Diogo has a utility function, U(q1,q2)=q10.2q20.8 where q1 is chocolate candy and q2 is slices of pie. If the price of slices of pie, p2, is $1.00, the price of chocolate candy, p1, is $2.00, and income, Y, is $100, what is Diogo's optimal bundle? The optimal value of good q1 is q1= units. (Enter your response rounded to two decimal places.)
Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.
To find Diogo's optimal bundle, we need to maximize his utility function subject to his budget constraint. The budget constraint is given by:
p1q1 + p2q2 = Y
Substituting the given values:
2q1 + 1q2 = 100
We can rewrite this as:
q2 = (100 - 2q1) / 1
Now, let's maximize Diogo's utility function:
U(q1, q2) = q1^0.2 * q2^0.8
Substituting the expression for q2:
U(q1) = q1^0.2 * [(100 - 2q1) / 1]^0.8
To find the optimal bundle, we need to find the value of q1 that maximizes U(q1). We can do this by taking the derivative of U(q1) with respect to q1 and setting it equal to zero:
dU(q1) / dq1 = 0.2q1^(-0.8) * [(100 - 2q1) / 1]^0.8 - 0.8q1^0.2 * [(100 - 2q1) / 1]^(-0.2) * (-2 / 1) = 0
Simplifying the equation:
0.2[(100 - 2q1) / q1]^0.8 = 0.8
[(100 - 2q1) / q1]^0.8 = 4
Taking both sides to the power of 1/0.8:
(100 - 2q1) / q1 = 4^(1/0.8)
Solving for q1:
100 - 2q1 = 4^(1/0.8) * q1
100 = (4^(1/0.8) + 2) * q1
q1 = 100 / (4^(1/0.8) + 2)
Calculating the value of q1:
q1 ≈ 12.77
Now we can substitute this value back into the budget constraint to find q2:
2q1 + q2 = 100
2(12.77) + q2 = 100
25.54 + q2 = 100
q2 = 100 - 25.54
q2 ≈ 74.46
Therefore, Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.
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Rhiann'a paid $5.44 in sales tax on an item that cost $68.00 before tax. A that
rate, how much would she pay in sales tax for an item that costs $36.00
before tax?
Answer:
0.055x = 1.54
x = 1.54 / 0.055
x = $28
Step-by-step explanation:
Let x = the original price of the board game before tax.
We know that the tax cost $1.54 and was 5.5% of the original price.
5.5% in decimal form = 0.055
5.5% of the original price = 0.055x
5.5% of the original price = tax = $1.54
13. Zahra likes to go rock climbing with her friends. In the past, Zahra has climbed to the top of the
wall 7 times in 28 attempts. Determine the odds against Zahra climbing to the top.
A. 3:1
B. 4:1
C. 3:11
D. 3:4
Answer:
the odds against Zahra climbing to the top are,
B. 4:1
Step-by-step explanation:
Since she has climbed 7 times in 28 attempts,
the probability of a successful climb is,
P = 7/28
P = 1/4
So, the odds against Zahra climbing to the top are 4:1
100 POINTS!!! The table shows the values of a function f (x), What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
Answer:
1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.
f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4
Over the range of x = 5 to x = 9, the average rate of change is 4.
2. g(x)=2x2+13x+1, f(x)=4x2+6x
(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)
f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85
3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)
x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0
x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2
Step-by-step explanation:
Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.
On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?
(2, –8)
(–8, –2)
(–2, 8)
(8, 2)
Answer:
i think it is b -8 -2
Step-by-step explanation:
Answer:
in picture
Step-by-step explanation:
Find the mean absolute deviation for the set -32,9,11,12
A.0
B.8
C.16
D.32
Solve for j.
-3 - 9j = -2j - 10
Answer:
j = 1
Step-by-step explanation:
-9j - 3 = -2j - 10
-7j = -7
j = 1
If _____________, then the graph of the polynomial function is symmetric about the y-axis.
By reading the question, note that we want to describe the fact that a polynomial functions is symmetric about the y-axis. By symmetric, it means that the y-axis acts like a "mirror". That is, the right side of the graph looks exactly the same as the one on the left. This means that if we take one value for x, then the value of f(x) should be the same as if we take -x and calculate f(-x).
So
if f(x)=f(-x), then the graph of the polynomial function is symmetric about the y-axis.
That is the second option is the correct one.
PLZ PLZ PLZ ANSWER THIS I HAVE NO IDEA WHAT RATIOS ARE!!!!
I WILL MARK THE BRAINLIEST!!!
Answer:
1:2
Step-by-step explanation:
There is 1 hexagon and two rectangles
Answer:
1:2
Step-by-step explanation:
Kurt, an artist, plans to paint and sell some miniature paintings.
He just bought some brushes for \$ 112$112 , and paint and canvas for each painting costs \$ 34$34 ; he will sell each painting for \$ 38$38.
Once Kurt sells a certain number of his paintings, he will be breaking even.
How much will Kurt have earned? How many paintings will that be?
Kurt's expenses and receipts will both total $
when he has sold
of his paintings.
a) The amount earned by Kurt by selling the break-even units of painting at $38 each is $1,064.
b) The number of paintings that Kurt will be selling at the break-even point is 28.
What is the break-even point?The Break-even point is the sales units at which the seller's total revenue equals the total costs.
At the break-even point, there is no profit or loss.
Data and Calculations:Fixed costs = $112
Variable cost = $34
Selling price = $38
Contribution margin = $4 ($38 - $34)
Contribution margin ratio = 10.53% ($4/$38 x 100)
Break-even point (units) = Fixed costs/Contribution margin per unit
= 28 units ($112/$4)
Break-even point (dollars) = $1,064 ($38 x 28)
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A fruit company recently released a new applesauce. By the end of its first year, profits on this product amounted to $37,000. The anticipated profit for the end of the fourth year is $68,200. After the first year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. a. Write a linear function P(x) that expresses profit as a function of time. P(x)=
Answer:
P(x) = 35,900 + 2,800(x-1)
Step-by-step explanation:
P(x)
P(1) = $35,900
P(4) = $44,300
Difference in profits
P(4) - P(1)
= P(3)
= $44,300 - $35,900
= $8,400
Rate of change per year = $8,400 / 3
= $2,800 per year
The linear equation
P(x) = 35,900 + 2,800(x-1)
Where
x = number of years
Help!!! I would really appreciate it. Thanks! Answer all three questions!
1. (0,8)
2. -1/2
3. y = (-1/2)x + 8
how many solutions does 1=3 have
According to the reading, good measures are...
(select as many as apply)
Mark all that apply
robust
easily obtainable
transferable
secure
valid
objective
simple
quickly comprehensible
precisely definable
Good measures are robust, valid, objective, simple, and precisely definable.
In the context of measurement, good measures possess certain qualities that make them reliable and useful. Based on the options provided, the following qualities apply:
Robust: Good measures are robust, meaning they are resistant to outliers or extreme values that may affect the accuracy of the measurement.
Valid: Good measures are valid, meaning they accurately measure what they are intended to measure and provide meaningful information.
Objective: Good measures are objective, meaning they are free from bias or subjective interpretation, ensuring consistency and fairness.
Simple: Good measures are simple, making them easy to understand and apply. They avoid unnecessary complexity and confusion.
Precisely definable: Good measures have clear and precise definitions, ensuring consistent interpretation and allowing for replication in different contexts.
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