Answer:
\(y = 3x - 5 \\ x = - y \\ substitute \: - y \: in \: the \: place \: of \: x \\ y = - 3y - 5 \\ y + 3y = 5 \\ 4y = 5 \\ y = \frac{5}{4} \)
El mcd de 36 90 y 18
Answer:
whut
Step-by-step explanation:
Determine the domain of the function F(x) =2-x/12x^2+8x
Rubina Shaw, family plan.
HMO annual premium is $11,473.
Employer pays 73 percent.
Emplοyee's annual cοntributiοn: $3,097.71
Emplοyee's mοnthly deductiοn: $258.14
What is an algebraic expression?An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns. It may alsο include expοnents and/οr rοοts. Algebraic expressiοns are used tο represent quantities and relatiοnships between quantities in mathematical situatiοns, οften in the cοntext οf prοblem-sοlving.
The emplοyee's percent is 100% decreased by the emplοyer's percent.
100%−73%=27%
Based on the information you provided, Rubina Shaw's annual premium for the HMO plan is $11,473. Her employer pays 73 percent of this premium, so Rubina's portion of the premium would be:
27% × $11,473 = 0.27 × $11,473 = $3,097.71
The emplοyee's annual cοntributiοn is the prοduct οf the emplοyee's percent and the tοtal premium.
The emplοyee's mοnthly deductiοn is the emplοyee's annual cοntributiοn divided by the number οf mοnths in a year.
$3,097.71 ÷ 12
= $258.14
Emplοyee's annual cοntributiοn: $3,097.71
Emplοyee's mοnthly deductiοn: $258.14
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Complete question:
Find the employee's total annual contribution and the employee's monthly deduction. Rubina Shaw, family plan. HMO annual premium is $11,473. Employer pays 73 percent.
Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle
Answer:
4x + 7x - 2 + 5x - 10 = 180
16x - 12 = 180
16x = 192
x = 12
m<A= 4x = 4(12) = 48
m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82
m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50
Step-by-step explanation:
.
PLS HELP ME WITH THIS QUESTION PLS SHOW YOUR WORKING OUT
The maximum volume of the cylinder is approximately 1257 cubic centimeters.
What is the maximum volume of the cylinder?The volume V of a right circular cylinder with radius r and height h is given by:
V = πr²h
Substituting the given expressions for the radius and height of the cylinder, we get:
V = πx²(800/πx - x)
Simplifying the expression, we get:
V = 800x - πx³
To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:
dV/dx = 800 - 3πx² = 0
3πx² = 800
x² = 800/3π
x ≈ 6.43
Substituting this value of x back into the expression for V, we get:
V ≈ 1257
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Find the total cost of a jacket for $55 with a sales tax of 2%
Answer:
$56.10
Step-by-step explanation:
55.00 × .02 = 1.10
55.00 + 1.10 = $56.10
HELP SRSLY I JEED TO GET THIS RIHT ILL MARK AS BRAINLYIST AND ILL GIVE 40 POINTS 14 yd-
12 yd
30 yd
2
The triangular prism above undergoes a dilation whose scale factor is
3
What is the volume of the image? Round your answer to the nearest tenths place.
A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting them. It is a polyhedron with six faces, nine edges, and six vertices.
The two triangular bases of a triangular prism are congruent and parallel to each other. The rectangular faces are perpendicular to the triangular bases, and their lateral edges connect the corresponding vertices of the triangular bases.
The triangular bases are identical and parallel to each other. Each base has three vertices, three edges, and one face.There are three rectangular lateral faces connecting the corresponding vertices of the triangular bases. Each lateral face has two edges and one face.
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How do I solve this diagram map? Diagram shows the following:
1 - 3
2 - 5
3 - .....?
?..... - 17
10 - ......?
100 - ......?
The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201
Given that,
To complete the map diagram,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,
10th = 21
100th = 2001
For the value 17
17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,
Thus, The complete diagram map has been shown.
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The length of a rectangle is 7 inches more than twice the width. If the area is to be at least 22 square inches,what are the possibilities for the width?The width is at least___ inches.
Given:
The length of a rectangle is 7 inches more than twice the width, this can be expressed by:
\(l=7+2w\)Where:
l = length
w = width
And the area is 22 square inches, which is given by:
\(A=l\times w=22\)Then, substitute the expressions in the area:
\(\begin{gathered} l\times w=22 \\ (7+2w)\times w=22 \end{gathered}\)And solve for w:
\(\begin{gathered} 7w+2w^2=22 \\ re\text{ order} \\ 2w^2+7w-22=22-22 \\ 2w^2+7w-22=0 \end{gathered}\)We obtain a quadratic equation, so we solve using the general formula for these equations:
a = 2
b = 7
c = -22
\(w=\frac{-7\pm\sqrt{7^2-4\times\:2\left(-22\right)}}{2\times\:2}\)Simplify:
\(w=\frac{-7\pm\sqrt{49+176}}{4}=\frac{-7\pm\sqrt{225}}{4}=\frac{-7\pm15}{4}\)The solutions are:
\(\begin{gathered} w=\frac{-7+15}{4}=\frac{8}{4}=2 \\ and \\ w=\frac{-7-15}{4}=-\frac{22}{4}=-\frac{11}{2} \end{gathered}\)Since a length can't be negative, then the answer is w = 2.
Answer: 2 inches
if a number is increased by 20% the result is 24. find the number
Answer:
20
Step-by-step explanation:
x+20%=24x+x*20/100=24x+0.2x=241.2x=24x=24/1.2x=20pls help!! Thank you!
Answer:
C
Step-by-step explanation:
\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)
The denominator cannot equal 0, so:
\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)
The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?
Answer:
Step-by-step explanation:
How Far Can A Snail Travel In One Hour
If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.
Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.
This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.
Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
Kaylah's cell phone has a mass of 58,000 centigrams What is the mass of her phone in grams? The mass of Kaylah's cell phone is ? grams.
The answer is 580 grams.
What is the third common multiple of two numbers is 72
Answer:
x-2-10123
y0.1 0.3 0.9 2.7 8.1 24.3
While on a walk in the country, you pass a field full of horses and chickens. After a quick count, you determine there are 43 heads and 122 feet in the field. How many of each animal are there?
Horse = x = 1 head and 4 feet
Chicken =y = 1 head and 2 feet
Horse + chicken = x + y = 43 ( total heads)
Horse = 43 - y
4x + 2y = 122
4(43-y) + 2y = 122
Simplify:
172-4y + 2y = 122
Combine like terms
172-2y = 122
Subtract 172 from both sides
-2y = -50
Divide both sides by-2
Y = 25
X + y = 43
X + 25 = 43
X = 18
There are 18 horses and 25 chickens.
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The Large Cardinal Project.
Answer:
1
Step-by-step explanation:
Write an equivalent expression. 2 + 4(c + 7)
A) 4c + 9
B) 30 + 4c
C) 6c + 9
D) 15 + 4c
Fraction - 7/3 x 5/21
Answer:
your answer is -5/9
Step-by-step explanation:
Answer:
given that -7/3×5/21
=-7×5/3×21
=-35/63( divided by 7)
=-5/9
i hope this will help you
Select the correct answer. What is the domain of function h? h\left(x\right)=\sqrt{x-7}+5
The domain of the function h is all real numbers greater than or equal to 7, or in interval notation: [7, ∞).
To determine the domain of the function \(h\left(x\right) = \sqrt{(x - 7)} + 5\), we need to consider the restrictions on the input values that would make the function undefined.
In this case, the square root function (\(\sqrt{}\)) is defined for non-negative real numbers. Therefore, the expression inside the square root (x - 7) must be greater than or equal to zero for the function to be defined.
x - 7 ≥ 0
Solving for x, we get:
x ≥ 7
Hence, the domain of the function h is all real numbers greater than or equal to 7, or in interval notation: [7, ∞).
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How much bigger is the 5 in 35.76 than the 5 in 26.95
The five in 35.76 is 100 times bigger than the five in 26.95.
How to compare the place values?Here we want to compare the values of the 5's in two different numbers, which are 35.76 and 26.95.
To compare them we need to compare the place value in which each five is.
To compare them, just write the numbers but replacing all the other values by zeros:
35.76 = 05.00 = 5
26.95 = 00.05 = 0.05
Now take the quotient of these two, we will get:
5/0.05 = 100
Thus, the 5 in 35.76 is 100 times bigger than the 5 in 26.95.
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if you have a fraction with an exponent do you distribute the exponent to the denominator and the numerator
Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).
For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply
16/81.
1. Start with the expression
(2/3)^4
2. Distribute the exponent of 4 to the numerator and denominator, resulting in
(2^4)/(3^4)
3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)
= (2*2*2*2)/(3*3*3*3)
4. Simplify the expression to 16/81
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I know the answer, but I don't understand how. The answer is 90 degrees
In the circle the measure of arc YP as per the given measurements is equal to option D. 166°
In the circle,
Measure of arc ST = 70°
Measure of arc RS = 96°
Measure of angle YZP = 128°
Arc formed by vertically opposite angles are equal
This implies,
Measure of arc YT = Measure of arc PR
Measure of arc ST + Measure of arc RS + Measure of arc YT = 180°
⇒70° + 96° + Measure of arc YT = 180°
⇒Measure of arc YT = 180° - 166°
⇒Measure of arc YT = 14°
⇒ Measure of arc PR = 14°
Measure of arc YP = 360° - ( Measure of arc (PR + RS + ST + TY ))
⇒ Measure of arc YP = 360° - ( 14° + 96° + 70° + 14° )
⇒Measure of arc YP = 360° -194°
⇒ Measure of arc YP = 166°
Therefore, the measure of arc YP is equal to option D. 166°
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The equation of two functions f(x) And g(x) are typed into a graphing calculator to see both graphs on the same coordinate plane. The graphs shown below represents the two functions.
Which are approximate solutions of the equation f(x)=g(x) Select all that apply.
A. 6
B. 0.7
C. 0
D. 4.6
Answer:
The solution of the equation f(x) = g(x) is the set of all x for which the graphs of f and g intersect. The solution of the inequality f(x) < g(x) is the set of all x for which the graph of f lies below the graph of g
12
What type of number is -?
3
Choose all answers that apply:
Whole number
B
Integer
Rational
D
Irrational
Answer:
BBbbBbbbbbbbbbbbbbbbbb
bbbbbbbbbbbb
Step-by-step explanation:
integer
Rational
Which algebraic expression has a term with a coefficient of 9
Answer:
an algebraic expression that has a term with a coefficient of 9 is
9(x +14)
9x + 126
How do you know where to place the decimal in a quotient?
Answer:
Step-by-step explanation:Move the decimal point in the divisor and dividend. ...
Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.
Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.
answer these 3 questions ASAP pls..
a. Is 15 a multiple of 4?
is 4 a factor of 15
b. Is 20 a multiple of 5?
Is 20 a factor of 5?
c. is 100 a multiple of 8
is 8 a factor of 100?
thank u for doing this makin you brainliest..........(loadin)
74752/360 simplified as a whole fraction
Answer:
\(\frac{9344}{45}\)
Step-by-step explanation:
\(\frac{74752}{360}\)
Simplify by 8, and we get
\(\frac{9344}{45}\)
We can't simplify any more, so the answer is \(\frac{9344}{45}\)
The required answer is the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.
To simplify the fraction 74752/360 as a whole fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both of them by it.
Step 1: Find the GCD of 74752 and 360. The GCD can be calculated using various methods, such as prime factorization or the Euclidean algorithm. In this case, use the Euclidean algorithm.
Let's find the GCD using the Euclidean algorithm:
Divide 74752 by 360:
74752 ÷ 360 = 207 R 272
Divide 360 by 272:
360 ÷ 272 = 1 R 88
Divide 272 by 88:
272 ÷ 88 = 3 R 8
Divide 88 by 8:
88 ÷ 8 = 11 R 0
Since the remainder is 0, the GCD is the last non-zero remainder, which is 8.
Step 2: Divide both the numerator and denominator of the fraction by the GCD.
74752 ÷ 8 = 9344
360 ÷ 8 = 45
The simplified whole fraction is 9344/45.
A whole fraction refers to a fraction in which the numerator is equal to or greater than the denominator. It represents a whole number and a fraction together. For example, 3 1/4 is a whole fraction where the whole number part is 3 and the fractional part is 1/4.
Hence, the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.
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The following are the ages of 12 history teachers In a school district 29,30,32,32,39,41,46,49,50,51,52,53 minimum lower quartile median upper quartile maximum and interquartile range
The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.
How does interquartile range work?Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.
According to the given information:To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.
Step 1: Find the median (Q2)
When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:
Median (Q2) = (41 + 46)/2 = 43.5
Step 2: Find the lower quartile (Q1)
The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:
Q1 = (32 + 32)/2 = 32
Step 3: Find the upper quartile (Q3)
The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:
Q3 = (50 + 51)/2 = 50.5
Now we have all the information we need to construct the five-number summary and interquartile range:
Minimum: 29
Lower quartile (Q1): 32
Median (Q2): 43.5
Upper quartile (Q3): 50.5
Maximum: 53
Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5
the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.
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