Answer:
[tex]\implies \dfrac{80}{90}-\sqrt{50} \times 19^2 \div 23^2[/tex]
Order of operations (PEDMAS)
ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)Following the order of operations,
Carry out the exponents (and radicals) first:
[tex]\implies \dfrac{80}{90}-\sqrt{25 \cdot 2} \times 361 \div 529[/tex]
[tex]\implies \dfrac{80}{90}-5\sqrt{2} \times 361 \div 529[/tex]
Now the multiplication and division (from left to right):
[tex]\implies \dfrac{8}{9}-1805\sqrt{2} \div 529[/tex]
[tex]\implies \dfrac{8}{9}-\dfrac{1805\sqrt{2}}{529}[/tex]
Convert the fractions so that their denominators are the same:
[tex]\implies \dfrac{8 \times 529}{9 \times 529}-\dfrac{1805\sqrt{2} \times 9}{529 \times9}[/tex]
[tex]\implies \dfrac{4232}{4761}-\dfrac{16245\sqrt{2}}{4761}[/tex]
Answer as a fraction:
[tex]\implies \dfrac{4232-16245\sqrt{2}}{4761}[/tex]
Answer as a number:
[tex]\implies -3.936546801... = -3.9\: \textsf{(nearest tenth)}[/tex]
Put the following linear relationships in order from least rate of change to greatest rate of change.
1: y=2x+7
2: y=5x-3
3: y=3x
4: y=4x+6
Answer:
1. 3. 4. 2.
Step-by-step explanation:
All the given linear relationships are given in slope-intercept form
y = mx + b (where m is the slope and b is the y-intercept).
The slope (gradient) of the line represents the rate of change. Therefore, we need to examine the slope of each relationship, and order them accordingly.
Solution
From least rate of change to greatest rate of change:
1. y = 2x + 7
3. y = 3x
4. y = 4x + 6
2. y = 5x - 3
NO LINKS!! Please help
Answer:
FJ = 32
IJ = 24
FG = 48
Step-by-step explanation:
Getting Started with FG
[tex]\frac{IH}{AB} =\frac{FG}{ED}[/tex]
[tex]\frac{72}{36} =\frac{FG}{24}[/tex]
[tex]\frac{FG}{24} =2[/tex]
[tex]FG=24(2)=48[/tex]
The proportion between polygons is 2:1
[tex]IJ=2CB[/tex]
[tex]IJ=2(12)=24[/tex]
[tex]FJ=2BC=2(16)=32[/tex]
Hope this helps
Answer:
FJ = 32
IJ = 24
FG = 48
Step-by-step explanation:
Given: HGFJI ~ AEDCB
From inspection of the diagram, the corresponding sides are:
HG~AE
FG~DE
FJ~DC
IJ~CB
IH~BA
The only pair of sides that both have side lengths are IH and BA. Therefore, we can use these to figure out the scale factor of dilation.
IH = 72 and BA = 36
⇒ IH/BA= 72/36 = 2
Therefore, HGFJI is an enlargement of AEDCB by a scale factor of 2
If HG = 56
⇒ AE = 56 ÷ 2 = 28
If DE = 24
⇒ FG = 24 × 2 = 48
If DC = 16
⇒ FJ = 16 × 2 = 32
If CB = 12
⇒ IJ = 12 × 2 = 24
Need help with math please
Write the inverse variation function given that y varies inversely with x, and y = 0.5 when x = 24.
[tex]\large{\text{Refer\:to\:explanation\:pls}}[/tex]
Calculation ↓If y varies inversely with x, we divide :
y = [tex]^k/_x[/tex]
Where
k = constant of proportionality
We are given that :
y = 0.5
x = 24
So we write :
0.5 = [tex]\Large\text{$^k/_{24}$}[/tex]
Multiply by 24 on [tex]\Large{\text{both\:sides\::}}[/tex]
12=k
[tex]\Large{\text{The\:constant\:of\:proportionality\:is\:12.}}[/tex]
So we havey = 12/x
[tex]\footnotesize{\text{hope\:helpful}}[/tex]
Case Study 2: Maxing out Matched Savings
Chen's employer will match 50% of their $250 monthly contributions to their 401(k). This
means that Chen's employer will put 50% of $250 = $125 into Chen's 401(k) account each
month in addition to Chen's $250. Free money-- Nice! (this is common!)
How much will Chen have after 40 years of saving $250 their own money if the account
compounds monthly at 3% APR?
hint: Use the TVM Solver on the Tl or this website. Remember, ignore the - sign. Don't forget
about the matching!
Type answer as a number without the $ symbol rounded to the hundredths. Example, if it
the answer was $1234.5687, you would enter 1234.57.
Answer:
The computation of the given question is shown below:-
Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)
= $250 + $125
= $375
1. Future Value = PMT [((1 + r)n - 1) ÷ r
Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)
= $347,272
2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years
= $250 × 12 Months × 40 Years
= $120,000
3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years
= $125 × 12 Months × 40 Years
= $60,000
4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer
= $347,272 - $120,000 - $60,000
= $167,272
Step-by-step explanation:
I need help ASAP!!!! Worth 20 points!
Answer:
x in (-oo:+oo)
(5/4)*x-(3/7) = 0
(5/4)*x-3/7 = 0
5/4*x-3/7 = 0 // + 3/7
5/4*x = 3/7 // : 5/4
x = 3/7/5/4
x = 12/35
x = 12/35
Step-by-step explanation:
There is 1/2 of a pizza left for 4 friends to
share. What fraction of a pizza will each
friend get to eat?
will make brainlest and rate 5 stars and say thanks
you could solve this problem one of two ways-
1)
100/4 25/2 12.5
100, equals the entire pizza. 4, is the number of people. 25, is the amount they all get. They you divide by 2 since it is only a half pizza.
-or-
2)
100/2 50 50/4 12.5
100, equals the entire pizza. Divide that by 2 since it half a pizza. 100/2 equals 50. Then, since there is 4 friends you divide 50 by 4. Which equals 12.5.
In conclusion, the final answer is 12.5% of the pizza each.
Hope this helps!!
-27 w3 + 125 factorize
[tex]-1(3w-5)(9w^{2} +15w+25)[/tex]
24 out of 50 children prefer the color blue. what
percentage of children prefer the color blue?
Answer:
48%
Step-by-step explanation:
as a fraction is 24/50
make denominator 100 so times by 2
24 x 2 = 48 so
48/100 = 48%
Someone help, please and thank you
Answer:
6√2
Step-by-step explanation:
Given,
θ = 45
Opposite side = 6
To find : - Hypotenuse
Formula : -
sin θ = Opposite side / Hypotenuse
[ The value of sin 45 = 1 / √2 ]
sin 45 = 6 / Hypotenuse
1 / √2 = 6 / Hypotenuse
Cross multiply,
Hypotenuse = 6√2
Answer:
6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
a 45-45-right triangle always has the same relationship between the legs and hypotenuse.
leg:leg:hypotenuse
x:x:x[tex]\sqrt{2}[/tex]
Students and teachers at a school were asked if they preferred blue, green, red, or yellow. The table shows the results of the survey. Blue Green Red Yellow Total Students 5 10 20 15 50 Teachers 15 10 5 20 50 Total 20 20 25 35 100 Choose three statements that can be inferred from the data in the table. A. 20% of all people surveyed chose blue. B. 20% of the students surveyed chose red. C. 20% of the students surveyed chose blue. D. 20% of the teachers surveyed chose green. E. 20% of those who chose red were teachers. F. 20% of those who chose yellow were teachers.
20% of all people surveyed chose blue and 20% of the teachers surveyed chose green. Then the correct options are A and D.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Students and teachers at a school were asked if they preferred blue, green, red, or yellow.
The table shows the results of the survey.
[tex]\begin{matrix}&\rm Blue &\rm Green &\rm Red &\rm Yellow &\rm Total \\\\\rm Students &5 &10 &20 &15 &50 \\\\\rm Teachers &15 &10 &5 &20 &50\\\\\rm Total &20 &20 &25 &35 &100\end{matrix}[/tex]
A. The probability of the people who chose blue will be
[tex]\rm P = \dfrac{20}{100} = 0.2 \ or \ 20\%[/tex]
B. The probability of the student who chose red will be
[tex]\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%[/tex]
C. The probability of the student who chose blue will be
[tex]\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%[/tex]
D. The probability of the teachers who chose green will be
[tex]\rm P = \dfrac{10}{50} = 0.2 \ or \ 20\%[/tex]
E. The probability of the teachers who chose red will be
[tex]\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%[/tex]
F. The probability of the teachers who chose yellow will be
[tex]\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit , in dollars, must be p(x) = 100 - x. The manufacturer also determines that the total cost of producing x units is given by C(x) = 3000 + 2x. a. Express the total revenue function R as a function of x. b. Express the total profit P as a function of x. c. How many units must the company produce and sell in order to maximize profit d. What is the maximum profit? e. What price per unit must be charged in order to make this maximum profit .
Answer: See below
Step-by-step explanation:
a)
[tex]$$The total revenue R(x) is obtained as:\begin{align*} R\left( x \right) &= xp\left( x \right)\\ &= x\left( {100 - x} \right)\\ &= 100x - {x^2} &$$$ R(x) = 100x - {x^2} \end{align*}[/tex]
[tex]$$Thus, {R\left( x \right) = 100x - {x^2}[/tex]
b)
[tex]$$The total profit is obtained as: \begin{align*} P\left( x \right) &= R\left( x \right) - C\left( x \right)\\ &= 1000x - {x^2} - 3000 - 20x\\ &= - {x^2} + 980x - 3000 \end{align*}[/tex]
[tex]$$Hence, P\left( x \right) = - {x^2} + 980x - 3000[/tex]
c)
[tex]$$For maximum profit dP/dx should be equal to zero: \begin{align*} \dfrac{{dP}}{{dx}} &= 0\\ - 2x + 980 &= 0\\ x &= 490 \end{align*}[/tex]
[tex]$$So, the required units to maximize profit is 490[/tex]
d)
[tex]$$The maximum profit is calculated as: \begin{align*} P\left( x \right) &= - {x^2} + 980x - 3000\\ P\left( {490} \right) &= - {490^2} + 980 \times 490 - 3000\\ &= 237100 \end{align*}[/tex]
[tex]$$Accordingly, the maximum profit is \$237100.[/tex]
e)
[tex]$$Calculating the price at maximum profit as: \begin{align*} p\left( x \right) &= 1000 - x\\ p\left( {490} \right) &= 1000 - 490\\ &= 510 \end{align*}[/tex]
[tex]$$Consequently, the price at the maximum profit is \$510.[/tex]
a bike requires 2 hours of assembly and a swing 3 hours. a maximum of 250 hours of assembly time are available. the profit is $50 on a bike and $20 on a swing. if no more than 100 items can be produced how many of each should be assembled for maximum profit?
The assemble for maximum profit is mathematically given as
For maximum profit, 100 tire and 0 strings must be assembled.
How many of each should be assembled for maximum profit?Generally, the equation for the max number is mathematically given as
Mx=50x+20y
Therefore
2x+3y \leq 250
x1+x\leq=100
Therefore
with cordinates of
(0,0)
(100,0)
(50,50)
(0,250/3)
In conclusion, The mx of 50x+20y is (100,0)
Hence, for maximum profit 100 tire and 0 strings must be assembled.
Read more about Arithmetic
https://brainly.com/question/22568180
Which of the functions below could possibly have created this graph?
O A. F(x) - –** – x2 – 3x2 +3
O B. F(x) = x + 13** + 12x
C. F(x) = -x + 2x* +6x
D. F(x)= x4 – x2 – 3x +3
Answer:
D
Step-by-step explanation:
All you have to do is put it in desmos, hope this helped :)))
The graph of the equation is f ( x ) = x⁴ - x³ - 3x² + 3
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the equation of the graph be represented as A
Now , the value of A is
f ( x ) = x⁴ - x³ - 3x² + 3
There are no asymptotes for the function
And , the graph of the function is plotted below
Hence , the equation is f ( x ) = x⁴ - x³ - 3x² + 3
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
#SPJ7
Use the picture attached.
How many lines of symmetry does the picture have?
A.
1
B.
3
C.
2
D.
0
Answer: look honestly I am not sure but Probably it is choice c which is 2 lines of symmetry .
Step-by-step explanation: 2 lines of symmetry because one line is horizontal and the other is vertical . One line will be in the middle of the flower which is vertical and the other line is horizontal as they will make equivalent sides . HOPE IT HELPS BUDDY .
How many hours would it take to watch 170 episodes of a show, each episode is about 23 minutes long.
Answer:
Around 65 hours(2 days and 17 hours)
Each episode is 23 minutes long, and there's 170 episodes, so multiply 23 by 170 being 23 minutes for each episode.
[tex]23 * 170 = 3,910[/tex]
Now, convert 3,910 minutes to hours by dividing for every 60 minutes.
[tex]3,910 / 60 = about~65[/tex]
Therefore, the answer is ≈65
the exact value is 65.16667
Solve For m
m = - ( 4 + m ) + 2
What’s 1+2?
Answer fasttttt
I will mark you as branly
Answer:
3
Step-by-step explanation:
uhhhhhhhhhhhhh yeah
Please help on the question as attached by providing detailed steps. Tq
Answer:
Step-by-step explanation:
Use the function below to find f(3)
F(x) = (1/4)x
Please help!!
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = (x-7)2 + (x-7)-1
A. F(x)=(x-7)2 and G(x)=(x-7)-1
B. F(x)=x²+x-1 and G(x) = x-7
C. F(x)=(x-7)-1 and G(x)=(x-7)²
D. F(x)= x-7 and G(x)=x²+x-1
SUBMIT
Answer:
The answer is D.
Step-by-step explanation:
Find the following given f(x) = - 9x - 2.
a. f(4)
b. f( - 3)
c. f(0)
D. F(1/7)
Answer:
the answer for {a} is -38
Step-by-step explanation:
fill in the number for x then simplify
f(x)=-9x - 2
f(4) = -9 (4) - 2
= -36 - 2 = -38
Use the same process for the other questions.
will mark brainliest
Answer:
0.5
Step-by-step explanation:
total no. of tiles
= 3 + 6 + 3
= 12
probability of tile being green
= 6 / 12
= 1/2
= 0.5
hope this helps!
Can you just answer question 23!!! i need help!!!
Answer:
It is Graph A because it has the properties of a cubic graph.
please mark as brainliest thank you
How many kilograms are in 242,000 milligrams? The solution is
Answer:
i am from afghanistan and you
Answer:
.242 Kilograms
Step-by-step explanation:
To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.
(3+2a)² alguien sabe la respuesta?
Answer:
3(3+2a)+2a(3+2a)
9+6a+6a+4a^2
9+12a+4a^2
ANS 4a^2+12a+9
Look at the following ratio:
3:8
Write an equivalent ratio if it was three times greater:
If the area of a rectangle is x4 + 3x3 - 2x2 - 200 and the width is x + 5, find its length.
Answer:
Step-by-step explanation:
Area = 4x + 9 - 4 - 200
= 4x - 195
Since Area is lw, let the width be x + 5 and y be the unknown length.
Therefore (x + 5) (y) = 4x - 195
Answer:
x³ - 2x² + 8x - 40
Step-by-step explanation:
Area = length · width
(x⁴ + 3x³ - 2x² + 0x¹ - 200) = length · (x + 5)
length = (x⁴ + 3x³ - 2x² + 0x¹ - 200) ÷ (x + 5)
BRAINLIEST please if this helped!Latasha reads 9 pages in 3 minutes. Latasha reads at a rate of
per minute. She reads at a rate of ?
minute per page.
Answer:
3 pages per minute.
Step-by-step explanation:
If we know that she reads 9 pages in 3 minutes, then we can divide the whole speed by 3 to get how much she reads in one minute.
3 pages in 1 minute.
A self-serve car wash charges $5.52 to use its facilities, plus an additional $0.95 for each minute the customer is at the self-serve
car wash. If Tiffany was at the car wash for 5 minutes, how much was she charged?
A. $10.52
B. $6.47
C. $10.27
D. $4.75