Find an equation for the graph
Answer:
y=6^x+0.612 - 4
Step-by-step explanation:
x = -4 ---> horizontal asymptote
m = 6 ---> use points (0, -1) and (1, 5)
Parent function of the graph: [tex]y=b^x[/tex]
Our equation: [tex]y=6^x[/tex]
Add alterations:
Reflections = N/AVertical & horizontal shifts = down 4Vertical & horizontal stretches = left approx 0.612Final equation: y=6^x+0.612 - 4
Find the length of the arc.
120°
6ft
Answer:
The length of the arc is 8*pi cm. An arc that subtends a central angle of 120 degrees has a length of 120/360 = 1/3 the length of the total circumference of the circle. We know the entire circumference of the circle is 2πr, which in this case is 2π*12 = 24π.
Step-by-step explanation:
sorry I only have the 8
Mary spends 2 2/3 hours on math homework everyday. She also spends 3 1/3 hours on art homework. How much time does Mary spend in total working on math and art homework?
It has to be like an actual fraction. All I know is that 24 is the whole number. Use that to solve the problem.
Answer:
6 hours
Step-by-step explanation:
2 2/3 +3 1/3= 5+1=6
Answer:
2 2/3+ 3 1/3 = 6. Multiply 6 by 4 weeks. 24 as your whole number.
Step-by-step explanation:
hope this helps
Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-
Jordan elimination.
Sylvia invested a total of $27,000. She invested part of the money in a certificate of deposit (CD) that earns 3% simple
interest per year. She invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund
that returns 2%. She invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the
end of 1 yr. How much principal did she put in each investment?
She invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.
DistributionsGiven that Sylvia invested a total of $27,000, and she invested part of the money in a certificate of deposit (CD) that earns 3% simple interest per year, she invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund that returns 2%, and she invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the end of 1 yr, to determine how much principal did she put in each investment, the following calculation must be made:
9000 x 0.07 + 3000 x 0.03 + 15000 x 0.02 = 630 + 90 + 300 = 10209900 x 0.07 + 3300 x 0.03 + 13800 x 0.02 = 693 + 99 + 276 = 106812,000 x 0.07 + 4,000 x 0.03 + 11,000 x 0.02 = 840 + 120 + 220 = 1,18011400 x 0.07 + 3800 x 0.03 + 11800 x 0.02 = 798 + 114 + 236 = 114810800 x 0.07 + 3600 x 0.03 + 12600 x 0.02 = 756 + 108 + 252 = 111611160 x 0.07 + 3720 x 0.03 + 12120 x 0.02 = 781.2 + 111.6 + 242.4 = 1135.211190 x 0.07 + 3730 x 0.03 + 12080 x 0.02 = 783.3 + 111.9 + 241.6 = 1136.811250 x 0.07 + 3750 x 0.03 + 12000 x 0.02 = 787.5 + 112.5 + 240 = 1140Therefore, she invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.
Learn more about distribution in https://brainly.com/question/10250387
solve the given equation state the number and type of roots x^2+x-12=0
Answer:
Step-by-step explanation:
x 1= 3 x 2=−4
If 43,560 square feet equals one acre, how many acres are in one square mile?
Answer: 640
Step-by-step explanation:
How many acres are there in 1 square mile? There are 640 acres in 1 square mile. To convert from square miles to acres, multiply your figure by 640 (or divide by 0.0015625) .
Answer:
640 acres²
Divide the area value by 68
[tex]43,560 / 68 = 640[/tex]
or
[tex]1~mile^2 * 640 = 640[/tex]
you multiply the area value by 640 for each square mile, since there is only one square mile, the answer is 640
A sweater is marked 30% off the original price. The original price was $37.50. What is the sale price of the sweater before sales tax?
(I will give brainliest if you show your work)!!
Answer:
$26.25
Step-by-step explanation:
To find the discounted price, subtract the discount amount from the original price. The amount of the discount is the product of the discount rate and the original price.
__
discounted price = original price - (original price) × (discount rate)
You can calculate it this way, or you can factor out the original price:
discounted price = (origina price) × (1 - discount rate)
= $37.50 × (1 -0.30) = $37.50 × 0.70 = $26.25
The sale price of the sweater is $26.25.
__
Additional comment
The amount of the discount is ...
$37.50 × 0.30 = $11.25
which makes the discounted price be ...
$37.50 -11.25 = $26.25
Write a propotion that can be used to convert 50 meters into kilometers. Then solve
Answer:
0.05km
Step-by-step explanation:
There are 1000 meters in a single kilometer. Using some dimensional analysis, we get set up the following expression:
[tex]\frac{50}{1} \frac{meters}{1}\frac{1}{1000} \frac{kilometers}{meters}[/tex]
The meters will cancel leaving the units of kilometers:
[tex]\frac{50}{1000} km=0.05km[/tex]
please answer correctly don't answer a link thanks. FUNDAMENTAL PRINCIPLE OF COUNTING.
The answer is [tex] {2}^{5} [/tex] or 32.
The best way to represent this is with a binary tree. Each split represents a choice, and each line represents a possible outcome. Choice #1 at the top of the tree has 2 possible outcomes. The second level repeats that process with 2 possible choices and 4 possible outcomes, this repeats for all 5 levels giving us 32 possible outcomes at the bottom.
2)There will be eight outcomes.
Sample space : {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
The committee spent $372 on costumes for 20 people each costume cost the same amount of money, how much did each costume cost, in dollars ? PLEASE ANSWER I'LL GIVE 68 POINTS TO THE FIRST ONE THAT MAKES SINCE, AND I'LL MAKE UU BRAINLIEST, also I'm gonna ask 4 questions on my page and whoever answers them all first get 100 points I promise!
Answer:
$18.60
Step-by-step explanation:
The total amount spent is $372, and this can be divided by 20. Each costume would cost $18.60.
A candle's height, in inches, is a function of the number of hours it has been burning. After 4 hours the
candle's height is 10 inches, and after 16 hours the candle's height is 7 inches. The candle is burning at
constant rate.
Construct an equation that can be used to determine the candle's height, y, after x hours.
Enter your equation in the space provided. Enter only your equation.
The linear function that gives the candle's height, y, after x hours, is defined by:
y = -0.25x + 11.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, in 12 hours, the height decayed 3 inches, hence the slope is given by:
m = -3/12 = -0.25.
So:
y = -0.25x + b.
After 4 hours, the height was of 10 inches, hence we use this to find b:
10 = -0.25(4) + b
b = 11
Thus the equation is given by:
y = -0.25x + 11.
More can be learned about linear functions at https://brainly.com/question/24808124
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The length of a rectangle is five more than double the width. If the perimeter is 100 inches, find the dimensions.
width?
length?
Suppose 3 and 8 are the only individual scores that can be made in a certain game. How many integer total scores are impossible to obtain?
Answer: 3
Step-by-step explanation:
3x8 = 24
24x2= 48!
8x12= 96!
Answers must be divisible by both numbers, and achievable by both inputs.
Hope This Helped
Enrique estimates that his utilities will cost him $86.00 per month over the courses of the next 3 years. What is his total estimated cost for utilities over the next 3 year period??
Please help thank you !!!
Answer:
$3096
Step-by-step explanation:
There are 12 months in 1 year.
3 × 12 = 36
There are 36 months in 3 years.
$86 × 36 = $3096
Answer:
3096
Step-by-step explanation:
I just completed the quiz.
How many different three person relay teams can be chosen from six students?
The grades on a language midterm at Loyola are roughly symmetric with u = 69 and standard deviation = 4.0. Vanessa Scored 65 on the exam.
Answer:
the question can be understand but the question is not telling what to find
it is comfugen to answe're the question
Which expression is equivalent to (2x^4y)^3?
Answer:
8x^{12}yx^{3}
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you
- Matthew
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use
Answer:
30 mL
Step-by-step explanation:
You are being asked to solve the given equation for the value of x.
__
0.10x +0.15(50 -x) = 0.12(50) . . . . given
-0.05x = -0.03(50) . . . . . subtract 0.15(50), combine terms
x = 30 . . . . . . . . . . . divide by -0.05
Bruce should use 30 mL of the 10% alcohol solution.
Regan operates an orange juice stand. On Monday she used 1/3 of a bag of oranges. On
Tuesday she used 2/5 as many oranges as on Monday. How many bags of oranges did Reg
use on Tuesday?
Write your answer as a fraction or as a whole or mixed number.
Please help meee
Answer:
0.825 bags of oranges
Step-by-step explanation:
1/3 is 0.33 and 2/5 is 0.4 so 0.33/0.4 is 0.825
Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answer:
r = 50 degrees.
Step-by-step explanation:
r = 50 degrees ( vertical angles are congruent).
When yara and her sister came home there was 3/4 of a pan of brownies left over yara and her sister ate 2/3 of the 3/4 pan of brownies how much of the entire pan of brownies did yara and her sister eat
Answer:
3/4_2/3 find the LCM= 1/12
[tex] \displaystyle \rm\int_{0}^1 { ln }^{2k} \left \lgroup \frac{ ln \left \lgroup \dfrac{1 - \sqrt{1 - {x}^{2} } }{x} \right \rgroup }{ ln \left \lgroup \dfrac{1 + \sqrt{1 - {x}^{2} } }{x} \right \rgroup } \right \rgroup \: dx[/tex]
Substitute [tex]x\mapsto\sqrt{1-x^2}[/tex], which transforms the integral to
[tex]\displaystyle \int_0^1 \ln^{2k} \left(\frac{\ln\left(\frac{1-\sqrt{1-x^2}}x\right)}{\ln\left(\frac{1-\sqrt{1-x^2}}x\right)}\right) \, dx = \int_0^1 \ln^{2k}\left(\frac{\ln\left(\frac{1-x}{\sqrt{1-x^2}}\right)}{\ln\left(\frac{1+x}{\sqrt{1-x^2}}\right)}\right) \frac{x}{\sqrt{1-x^2}} \, dx[/tex]
and factoring [tex]\sqrt{1-x^2}=\sqrt{(1-x)(1+x)}[/tex] reduces this to
[tex]\displaystyle = \int_0^1 \ln^{2k}\left(\frac{\ln\left(\sqrt{\frac{1-x}{1+x}}\right)}{\ln\left(\sqrt{\frac{1+x}{1-x}}\right)}\right) \frac x{\sqrt{1-x^2}} \, dx[/tex]
The inner logarithms differ only by a sign, so that
[tex]\displaystyle = \int_0^1 \ln^{2k}(-1) \frac x{\sqrt{1-x^2}} \, dx[/tex]
Using the principal branch of the complex logarithm, we have
[tex]\ln(-1) = \ln|-1| + i\arg(-1) = i\pi[/tex]
and hence
[tex]\displaystyle \int_0^1 \ln^{2k} \left(\frac{\ln\left(\frac{1-\sqrt{1-x^2}}x\right)}{\ln\left(\frac{1-\sqrt{1-x^2}}x\right)}\right) \, dx = (i\pi)^{2k} \underbrace{\int_0^1 \frac x{\sqrt{1-x^2}} \, dx}_{=1} = \boxed{(-\pi^2)^k}[/tex]
where I assume k is an integer.
Question #12: A department store has a discount on shoes based on a
percentage of the price. Suppose one pair of shoes is marked down from
$70 to $49. What is the price for a $110 pair of shoes after the discount is
applied?
a
O $89.00
O $77.00
O $73.33
O $33.00
Answer:
$77
Step-by-step explanation:
The answer is $77 because first you need to find how much money was discounted by doing 70-49 to get 21. Then you need to find how much percent 21 is of 70 by doing 21/70, then you would get 0.3 which is 30% since you have to multiply it by 100. This means that there is a 30% discount. Then you would do 0.3*110=33. This means that the 30% discount takes away $33. So 110-33=77. The answer is $77.
Consider a triangle...
Answer:
1. Triangle: B = 47.0° , C = 103.05° , c = 2.53 cm
2. Lake: c = 1105.31 ft
Step-by-step explanation:
Law of Sine Formula:[tex]\frac{sin(A)}{A} = \frac{sin(B)}{B} = \frac{sin(C)}{C}[/tex]
Given: A = 30° , a = 1.3 cm , b = 1.9 cm
[tex]\frac{sin(30)}{1.3} = \frac{sin(B)}{1.9} = \frac{sin(C)}{C}[/tex]
Solving for sin(B). Cross Multiply.
[tex]\frac{sin(30)}{1.3} = \frac{sin(B)}{1.9}\\1.3*sin(B)=1.9*sin(30)\\sin(B)=\frac{1.9*sin(30)}{1.3} \\[/tex]
B = sin^-1( [tex]\frac{1.9*sin(30)}{1.3}[/tex] )
B ≈ 46.9509202
B = 47.0°
Solve for C°
A° + B° + C° = 180°
30° + 46.95° + C° = 180°
C° = 180° - 30° - 46.95°
C° = 103.05°
Solve for sin(C)
[tex]\frac{sin(30)}{1.3} = \frac{sin(103.05)}{C}\\[/tex]
Cross Multiply
[tex]C*sin(30)=1.3*sin(103.05)\\C=\frac{1.3*sin(103.05)}{sin(30)}[/tex]
C ≈ 2.532850806
C = 2.53 cm
Law of Cosine Formula: [tex]c^2=a^2+b^2-2*a*b*cos(C)[/tex]
Given: a = 850 ft , b = 960 ft , C=75°
Solve for c.
[tex]c^2=a^2+b^2-2*a*b*cos(C)\\c^2=(850ft)^2+(960ft)^2-2*(850ft)*(960ft)*cos(75)\\\\c=\sqrt{(850ft)^2+(960ft)^2-2*(850ft)*(960ft)*cos(75)\\} \\[/tex]
c ≈ 1105.308698
c = 1105.31 ft
The sum of the two numbers is 40. One number is 3 times the other number. Find the 2 numbers
Answer:
10 and 30
Step-by-step explanation:
The sum of 10 and 30 is 40.
30 is three times ten (10 x 3 = 30).
hope this helps!
The answer is 10 and 30
10 times 3 is 30, meaning 10 will be the number times 3 they wanted. 10 + 30 is 40, therefore the answer is 10 and 30
Find the length of the third side . If necessary , round to the nearest tenth .
Answer:
umm 9?
Step-by-step explanation:
Suppose that $3^a = 2$ and $3^b = 5$. If \[3^x = 150,\]then write an expression for $x$ in terms of $a$ and $b$.
Use logarithms to solve for a.
[tex]3^a = 2 \implies \log_3(3^a) = a\log_3(3) = \log_3(2) \implies a = \log_3(2)[/tex]
Similarly, for b and x.
[tex]3^b = 5 \implies b = \log_3(5)[/tex]
[tex]3^x = 150 \implies x = \log_3(150)[/tex]
Factorize 150:
150 = 2 • 3 • 5²
Then we can expand log₃(150) using the product-to-sum and exponent property,
[tex]\log_3(150) = \log_3(2\times3\times5^2) = \log_3(2) + \log_3(3) + \log_3(5^2)[/tex]
[tex]\implies \log_3(15) = \log_3(2) + 1 + 2 \log_3(5) \iff \boxed{x = 1 + a + 2b}[/tex]
Pleas I need help this is so hard
Answer:
Equation:
C = 1.75x + 5 25
A 22-mile ride costs $43.75.
Step-by-step explanation:
Because there is a flat fee of 5.25, only the first two equations could possibly be correct.
Then check with the examples given. If a 7 mile ride costs 17.50, the second equation cannot possibly be right. 7 miles times over $5 per mile will cost more than $35 not even including the flat fee.
Check:
1.75(7) + 5.25 = 17.50
and
12(1.75) + 5.25 = 26.25
So, the correct equation is
C = 1.75x + 5.25
Next use this equation to find the cost of the 22 mile ride.
1.75(22) + 5.25
= 43.75
5 Four children are measuring their height.
Aisha
1.39 metres
Teddy
1.37 metres
Scott
1.4 metres
Kim
1.43 metres
Order the children from tallest to shortest.
jessica spent 20% of her money for snacks. She spent 25% of the remainder for school supplies. She has P30 left. How much money did Jessica start with?