Answers
sin50 = b/10
b=10(0.76)
b=7.6
Related Questions
Question
A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When
she plants 3 stalks, each plant yields 115 ounces of beans. When she plants 8 stalks, each plant yields 190 ounces of beans.
Write the linear equation, Y(n), that correctly represents this situation.
Provide your answer below:
Y(n)=
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The equation that represent the given situation is y = 15x + 70
When she plants 3 stalks, each plant yields 115 ounces of beans
The first point = (3, 115)
When she plants 8 stalks, each plant yields 190 ounces of beans
The second point = (8, 190)
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation
The slope of the line m = (190-115) / (8-3)
= 75/5
= 15
The point slope form is
\(y-y_1=m(x-x_1)\)
Choose one point and substitute the values in the equation
y - 115 = 15(x - 3)
y - 115 = 15x - 45
y = 15x - 45 + 115
y = 15x + 70
Hence, the equation that represent the given situation is y = 15x + 70
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A binary operation * on the set R of real
numbers is defined by a*b = a/b +
b/a
where a and b belong to R. Simplify
(x+1)*2=3.
Answers
We get the value (x - 2) = \(\sqrt{5}\) or (x - 2) = -\(\sqrt{5}\)
Given,
In the question:
A binary operation * on the set R of real numbers is defined by
a*b = a/b + b/a
where a and b belong to R.
To solve the (x+1)*2=3.
Now, According to the question:
a*b = a/b + b/a
x +1 *2 = 3
x +1/2 + 2/x+1 = 3
\((x+1)^2\) + 4 = 6(x+1)
\(x^{2}\) +2x +1 + 4 = 6x + 6
\(x^{2}\) + 2x - 6x + 1 - 6 + 4 = 0
\(x^{2}\) - 4x - 5 + 4 = 0
\(x^{2}\) - 4x + 4 = 5
\((x - 2)^2 = 5\)
(x - 2) = \(\sqrt{5}\) or (x - 2) = -\(\sqrt{5}\)
Hence, We get the value (x - 2) = \(\sqrt{5}\) or (x - 2) = -\(\sqrt{5}\)
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1, The perimeter of a square is 60 cm. Find the length of each side and its area.
Answers
Answer:
length of each side = 15cm
area = 225cm²
Step-by-step explanation:
Two added to the square root of the sum of a number and five is equal to seven. Find the number.
Answers
Answer:
Step-by-step explanation:
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
218 degrees
a.
1.21 units clockwise
c.
7.61 units
b.
3.80 units
d.
1.90 units
Answers
Answer:
Step-by-step explanation:
radius of unit circle = 1
θ = 218° × π/180° = 109π/90 radians
arc length = rθ = 109π/90 ≅ 3.80 units
Milan is on the swim team. Each day he swims 850m. How far does he swim in 5 days?
Answers
Answer:
4250 m
Step-by-step explanation:
1 day = 850
5 days = 850×5
= 4250
which expression means 8 less twice a number
8-2n
2n-8
Answers
Answer:
I think 2n-8 because you are taking 8 away from 2 times a number
Step-by-step explanation:
HELPPP!!! I WILL MARK BRAINLIEST!!!
Answers
Answer:
A = 2, B = 8, and C = ⅓.
D= ¼, E = 2, and F = -2.
Step-by-step explanation:
The logarithmic expression, \(y = log_b x\), is the same as the following exponential expression, \(x = b^{y}\).
Given the following logarithmic expressions:
\(log_8 2 = \frac{1}{3}\) is equivalent to \(A^{B} = C\), where:
A = 2, B = 8, and C = ⅓.
\(log_2 \frac{1}{4} = -2\) is equivalent to \(D^{E} =F\), where:
D= ¼, E = 2, and F = -2.
A principal of $7000 is invested in an account paying an annual rate of 4%. Find the amount in the account after 4 years if the account is compounded semiannually.
quarterly, and monthly
(a) The amount in the account after 4 years if the account is compounded semiannually is $0.
(Round to the nearest cent.)
Answers
Answer:A=P{1+r/n}^nt. A is the end value, P the start. r is the rate, divided by n, the number of compoundings per year. t is the number of years.
semiannual is 2 compoundings
A=7000{1+(0.055/2)}^6, the 6 from 2 compoundings a year for 3 years. Do the parentheses first, so that you have 1.0.0257^6. When you get that, multiply by $7000. Round at the end, not intermediate steps.
A=$8237.38
-------------------
A=7000{1+(.055/4)}^12=$8246.48. Notice that what is in the parentheses gets smaller, but it gets raised to a higher power.
-------------------
A=7000{1+(0.055/12)}^36=$8252.64
A student is using the elimination method to solve the system of equations below. What is the best first
step?
4x - 5y = 2
2x + y = -3
Answers
Answer:
The best first step would be to multiply the second equation by -2
Step-by-step explanation:
The best first step would be to multiply the second equation by -2
then you would have the following
\(\ \ \ \ \ \ 4x - 5y = 2 \\-2*(2x)+ (-2)*y = (-2)*3\)
and when you multiply it is easy to eliminate because you will get
\(4x - 5y = 2 \\-4x -2y = 6\)
and if you sum the equations you get
-7y = 8
so that is a single variable equation which is easier to solve.
8^2 + 5/3
evaluate show ur work!!:)
Answers
Answer:
I need this answer as well l. let me know
Answer:
65.7
Step-by-step explanation:
8^2 + 5/3
64 + 5/3
= 65.7
Eleanor Penny had a $1,987.00 water softener installed. She made a down payment of $87.00. She can finance the remainder through the dealer at $169.00 a month for 12 months. She could also obtain a credit union loan at $114.19 per month for 18 months. Find the following for each loan: the finance charge, the APR, and the total amount paid. Which payment plan is the best deal? Why?
Answers
Step-by-step explanation:
First, let's calculate the amount that Eleanor would need to finance after the down payment:
$1,987.00 - $87.00 = $1,900.00
Option 1: Financing through the dealer
Finance charge:
Total amount paid - amount financed = finance charge
$169.00 x 12 months = $2,028.00
$2,028.00 - $1,900.00 = $128.00
APR:
We need to use the following formula to calculate APR:
APR = ((finance charge / amount financed) x (12 / loan term in months)) x 100
APR = (($128.00 / $1,900.00) x (12 / 12)) x 100
APR = 0.0674 x 100
APR = 6.74%
Total amount paid:
Amount financed + finance charge = total amount paid
$1,900.00 + $128.00 = $2,028.00
Option 2: Credit union loan
Finance charge:
Total amount paid - amount financed = finance charge
$114.19 x 18 months = $2,055.42
$2,055.42 - $1,900.00 = $155.42
APR:
We can use the same formula as before to calculate APR:
APR = ((finance charge / amount financed) x (12 / loan term in months)) x 100
APR = (($155.42 / $1,900.00) x (12 / 18)) x 100
APR = 0.0458 x 100
APR = 4.58%
Total amount paid:
Amount financed + finance charge = total amount paid
$1,900.00 + $155.42 = $2,055.42
The credit union loan is the better deal. Here's why:
The finance charge is lower for the credit union loan ($155.42 vs. $128.00).
The APR is also lower for the credit union loan (4.58% vs. 6.74%).
The total amount paid is higher for the credit union loan, but this is because it has a longer repayment period (18 months vs. 12 months). If we look at the total amount paid per month, the credit union loan is still the better deal ($114.19 vs. $169.00).
Therefore, Eleanor should choose the credit union loan.
4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?
Answers
(18/ 3) + (3 (2) - 7) 8
NEED HELP
|w| + 19 < 14
Answers
the solution is: \(w < -5\) . Since all real numbers are either less than or greater than \(-5\) , the solution set for this inequality is "All reals".
What is the parameter for the real number?To solve for w in \(w + 19 < 14\) , we need to isolate w on one side of the inequality.
This means that any value of w that is less than \(-5\) would make the inequality true.
For example, \(w = -6\) is a solution because \(-6 + 19 < 14.\) Likewise, any value of w that is greater than or equal to -5 would make the inequality false. For example, \(w = -5\) is not a solution because \(-5 + 19 = 14\) .
Subtracting 19 from both sides of the inequality, we get:
\(w + 19 - 19 < 14 - 19\)
\(w < -5\)
Therefore, the solution is: \(w < -5\) . Since all real numbers are either less than or greater than \(-5\) , the solution set for this inequality is "All reals".
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Find the line of symmetry.
f(x) = -2x2 + 12x - 20
Answers
Hope this helps :)
A deer grows 170% from birth to age 1. If a deer weighs 68 pounds at age 1, how much did it weigh at birth?
Answers
Let's define
x: deer weight at birth
y: deer weight at age 1
If a deer grows 170% from birth to age, then
\(x\cdot\frac{170}{100}=y\)If a deer weighs 68 pounds at age 1, therefore y = 68. Solving for x,
\(\begin{gathered} x\cdot\frac{170}{100}=68 \\ x=68\cdot\frac{100}{170} \\ x=40 \end{gathered}\)It weighed 40 pounds at birth
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answers
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
What is the volume of this object?
cubic units
Submit
www
Answers
The volume of a cube is a*a*a where a is length of the side,
What is Surface area of cube?
Surface area of cube can be defined as the product of six and square of a .
Given ,
to find the volume of cube.
Volume of a cube is the overall cubic gadgets occupied via it, in a 3-dimensional area. A cube is a 3D-shape, that has six faces, twelve edges and 8 vertices. hence, the extent of a cube is the space enclosed via its six faces. not like, 2nd shapes, it has additional dimensions aside from period and width, that is known as height or thickness. therefore, the quantity of dice is equal to fabricated from its duration, width and height. it's far measured in cubic gadgets. The extra the value of its dimensions the more is the quantity of dice.
Volume of cube is = a*a*a
where a is length of side of cube or edges.
or it can be also called
volume of cube = length*width*height
Hence, The volume of a cube is a*a*a .
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Find the area of the triangle
Answers
Answer:
i don’t know sorry
Step-by-step explanation:
nothing
what percent is 38 of 80
Answers
Answer:
47.5
Step-by-step explanation:
38/80x100%=47.5
Answer:
47.5%
Step-by-step explanation:
Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 38/80 is 80, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 80 = 1.25
ow we can see that our fraction is 47.5/100, which means that 38/80 as a percentage is 47.5%.
We can also work this out in a simpler way by first converting the fraction 38/80 to a decimal. To do that, we simply divide the numerator by the denominator:
38/80 = 0.475
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.475 x 100 = 47.5%
And there you have it! Two different ways to convert 38/80 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.
I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).
If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.
Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!
The product of sin 30° and sin 60° is same as the product of and .
Answers
sin 30 = .5 and cos 60 = .5
sin 60 = sqrt(3) / 2 and cos 30 = sqrt(3) / 2
answer - cos 60 and cos 30
On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
Answers
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
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A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long. Explain how to find the angle the tent pole makes with the sides of the tent. A diagram of a cone. The length and height of a cone are 26 feet and 20 feet. The central pole forms a right triangle with the floor of the tent. The of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is . Applying , we find that the angle the tent pole makes with the sides of the tent is .
Answers
The angle the tent pole makes with the sides of the tent is 39.7°
Applications of TrigonometryFrom the question, we are to determine the angle the tent pole makes with the sides of the tent
Let the angle be θ
Using SOH CAH TOA
Thus,
cos θ = Adjacent/Hypotenuse
The adjacent corresponds to height of the central pole
and the slant height of the tent is the hypotenuse
∴ Adjacent = 20 ft
Hypotenuse = 26 ft
Thus,
cos θ = 20 / 26
cos θ = 0.76923
∴ θ = cos⁻¹(0.76923)
θ = 39.7°
Hence, the angle the tent pole makes with the sides of the tent is 39.7°
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Answer:
The central pole forms a right triangle with the floor of the tent. The COSINE of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is 0.77 . Applying ARCCOSINE, we find that the angle the tent pole makes with the sides of the tent is 39.6 .
Step-by-step explanation:
Enter a positive value for d that makes this statement true: 34×d is less than 34 but greater than zero HELP PLSS FASTT
Answers
Answer:
0.5 (any number between 0 and 1)
Step-by-step explanation:
34 * 0.5 = 17
34 > 17 > 0
1/3 (4+18) -2 to the 2nd power
Answers
Step-by-step explanation:
Using pemdas start with the paranthesis.
4+18=22
1/3 * 22 - 2 to 2nd power which is 4 = 0.3333333333 * 22 = 7.3333333326 - 4 = 3.3333333326
What is the value of x enter your answer in the box . Please help
Answers
Answer:
55°
Step-by-step explanation:
sum of angles in a triangle is 180°
X+75+50=180°
X+125=180°
X=180-125
X=55°
if 4x=32find the value of 35 - 58.
Answers
Answer: -5
Step-by-step explanation:
4x=32
4x/4 = 32/4
x= 8
35-5x
35-5(8)
35-40
-5
Answer: -5
Find the slope of the given line please see attached photo thank you
Answers
Answer:
2/5
Step-by-step explanation:
Find two integer coordinate sets ( use the two points labelled)
slope = m = (y1-y2)/(x1-x2) =
= ( 1 - -1 ) / (3- - 2) = 2/5
(NOTE: it does not matter which point you choose to be x1,y1 or x2,y2 )
PA HELP PO SA STATS TOPIC PO "RANDOM SAMPLING AND SAMPLING DISTRIBUTION" THANKYOU
Answers
1) Note that the population mean is 153.
2) there are 36 possible random samples of size two that can be selected from a population of nine.
How did we arrive at the above?1) Population Mean = (172 + 148 + 156 + 170 + 161 + 138 + 142 + 156 + 134) / 9
= 1377 / 9
Population Mean = 153
2) To get the number of possible random samples, we must use Combination whose equation is given as
nCr = n! / (r! (n-r)!)
nC2 = 9! / (2!(9-2)!)
= 9! / (2! 7!)
= (9 x 8 x 7!) / (2!7!)
= (9 x 8) / 2
= 36
Thus, the number of random samples that can be selected form a population of 9 is 36.
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e) A student spent 50 minutes doing her homework. She spent m minutes doing Geography. 2m minutes doing Mathematics and the remaining (m + 7) minutes studying History. How many minutes did she spend doing Mathematics?
Answers
Answer: 22 minutes
Step-by-step explanation: m + 2m + m + 7 = 4m + 7
4m + 7 = 50
4m = 44
m = 11
2m = 11 x 2 = 22 minutes