Answer:
13.6
Step-by-step explanation:
Remember SOH CAH TOA
We're going to use tangent = opposite / adjacent because the 11 is opposite theta (39 degrees) and x is adjacent to it.
tan (39) = 11 / x
x = 11 / tan(39)
x = 13.584 -> 13.6 (rounded to nearest tenth)
Note: Make sure your calculator is in degree mode.
Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
Answer:
£3,800
Step-by-step explanation:
The computation of the total cost is shown below;
Each person cost is
Travel cost £250 (assume for 7 days)
Hotel cost £50 × 7 days = £350
Spending money £350 (assume for 7 days)
Cost for each person is £950
Since there are four persons, so the total cost would be
= £950 × 4 peoples
= £3,800
an = -15 + 5(n – 1)
Find the 21st term of the sequence.
Answer:
[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]
85 the 21st term of the sequence.
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
here, we have,
an = -15 + 5(n – 1)
so,
a_21= -15+(21-1)5
=-15+100
=85
Hence, 85 the 21st term of the sequence.
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Least to greatest
8/9 0.51 3/5
Answer:
0.51 ,8/9, 3/5
Step-by-step explanation:
that is pretty self explanatory, i hope that helps!
y-y, = m (x - x) if
Slope = 3
Passes though the point (2,-4)
Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
£
2516.22
Step-by-step explanation:
£
2516.22
Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.
Answer: f(x)=200•(0.85)^x
Step-by-step explanation:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.
Order the following set of numbers in ascending order (least to greatest): 2.007; 2.714; 2.09; 2.741; 2.07
Answer:
2.007;2.07;2.09;2.714;2.741
Step-by-step explanation:
2.007 is the least and 2.741 is the greatest
Answer: 2.007, 2.07, 2.09, 2.714, 2.741
Step-by-step explanation:
what is the percent rate of change in function y = (0.98) ^ x? determine whether the function represents exponential growth or exponential decay
C. 2%; exponential decay
You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.
The percent rate of change in given function is -2%
The function represents exponential decay.
Given that:The function: [tex] y = (0.98) ^ x[/tex]To find:Percent rate of change in given function.Is it representing exponential growth or exponential decay?Finding percent rate of change in given function:
For finding this, first find how much the output y changes if we change x from x to x + 1.
Output when x = x: [tex]y = (0.98)^x[/tex]
Output when x = x+1: [tex]y = (0.98)^{x+1}[/tex]
Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)
Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]
The percentage of rate of change is found as:
[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]
Thus, the percent rate of change is -2%
The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.
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2c +3= -11
Remember:
Answer:
-7
Step-by-step explanation:
Hey there
Let's solve your equation step-by-step.
2c+3=−11
Step 1: Subtract 3 from both sides.
2c+3−3=−11−3
2c=−14
Step 2: Divide both sides by 2.
2c/2 = -14/2
c=−7
Have a wonderful day
write the expanded notation of:
7.3
13.407
21.0005
0.000103
9.725 plzzz
Answer:
e
Step-by-step explanation:
e im not sure
The slope of the line below is -3. Use the coordinates of the labeled point to
find a point-slope equation of the line.
Answer: y+7= 3(x-5) C
Step-by-step explanation:
−14.4=−0.6p
I’m bisexual
nice :) good for u, wish i could just say that straight up lol
Line segment AB has endpoints A(2, -3) and B(-4, 6). What are the coordinates of the midpoint of AB?
Which expression is equivalent to 3k + 5l + 6l + 2k?
A) 8k + 8l
B) 5k + 11l
C) 5k
D) 16
Answer:
B)5k + 11l
Step-by-step explanation:
3k + 5l + 6l + 2k collect like terms
3k + 2k + 5l + 6l
5k + 11l
hope it's helpful ❤❤❤❤
THANK YOU.
The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is 3k+5l+6l+2k.
Group like terms and simplify, we get
(3k+2k)+(5l+6l)
= 5k+11l
The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.
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Carly walks 30 feet in seven seconds. At this rate, how many minutes will it take for Carly
to walk a mile if there are 5,280 feet in one mile? Round your answer to the nearest tenth
of a mile.
Given m ||n, find the value of x.
(7X+9)
(9x+5)°
Answer:
x = 2Step-by-step explanation:
(7x + 9)° is corresponding angle to (9x + 5)° angle
Therefore:
m║n ⇒ (7x + 9)° = (9x + 5)°
(7x)° + 9° = (9x)° + 5° {subtract (7x)° from both sides}
9° = (2x)° + 5° {subtract 5° from both sides}
4° = (2x)° {divide both sides by 2°}
x = 2
A farmer bought 36 ducks and 52 pigeons. Approximately how many birds did the farmer buy?
pls help due asap
:..
Answer:
a
Step-by-step explanation:
Jean has $280 in her savings account. Starting next week, she will deposit $30 in her account every week.
What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)
Answer:
The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
Step-by-step explanation:
We need to find perimeter, in terms of x, of the triangle shown here.
The length of side 1: [tex](7x^2 - 12)[/tex]
The length of side 2: [tex](-5x + 30)[/tex]
The length of side 3: [tex](3x^2 + 4x)[/tex]
The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]
Putting values and finding perimeter:
[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]
So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
HAAAAAAALLLLLLLP
7th Grade IXL
Answer: This is middle school math?! Man I feel bad for you...
First one: ZZXY
Middle one: ZYXZ
Last one: ZXZY
Answer:
mark the other guy brainliest I answer so he can get it
Step-by-step explanation:
Pls help I need help
Hehhehrhrh
Answer:
C) 11.4
Step-by-step explanation:
Please help me with this one ☝️
Answer:
D
Step-by-step explanation:
add them together
Hayley's birthday party will cost $27 if she invites 3 guests. How many guests
can there be, at most, if Hayley can afford to spend a total of $36 on her
birthday party? Assume the relationship is directly proportional.
Answer:
imma say 12 guests
Step-by-step explanation:
sorry if wrong
Simplify the expression: 5-−3ℎ −(6-+7ℎ)
a) 11-−4ℎ
b) 11-−10ℎ
c) −-−4ℎ
d) −-−10ℎ
Answer:
D
Step-by-step explanation:
6x + 4y > 12
What’s the x and y intercepts
Answer:
x interprets: 2,0
y interprets: 0,3
Step-by-step explanation:
(HCASE
Dashboard
Cheyenne has $12.00 saved for after-school snacks. Each week Cheyenne spends $3.00 on snacks. Ahmed spends $0.50 each week on snacks and
originally had $7.00 saved.
Answer:Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. ... The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs.
Step-by-step explanation:
Answer:
Cheyenne can only buy 4 snacks for 1 week, and Ahmed can buy 14 snacks for 1 week
Step-by-step explanation:
12/3 =4
7/0.50=14
Hope this helped! if not Please tell me! :)
Write the following expression in exponential form: (2 points) 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5
Answer:
The answer is [tex]4.5^7[/tex]
Step-by-step explanation:
This is because there are 7 copies of the same number and that means you have to put 7 at the exponential part of it. Then you have to put the original number under the exponential spot. Therefore, the answer is [tex]4.5^7[/tex].
Translate the sentence into an equation The sum of 5 times a number and 7 is 3
Use the variable b for the unknown number
HELPPPPPP
Answer:
Equation: 5b + 7 = 3
Step-by-step explanation:
Unknown number = b
5 times of number = 5b
Sum of 5b and 7 = 5b + 7
Equation;
5b + 7 = 3
11. What is the perimeter of the top of a square pizza box that just manages to hold a circular pizza whose radius is 70 cm?