Will give 20 and mark brainliest if you give explanation and answer
Answer:
\( part \: a. = \boxed{2 \frac{2}{3} } \\ part \: b. = \boxed{ \$8} \)
Answer:
Part A: 8/3 square inches or 2.667 square inches is the area used for peas (remember to label)
Part B: $8 for selling the peas for $3
Step-by-step explanation:
1.) To find the amount of space she uses for peas, multiply 10,2/3 (or 32/3) by 1/4. (1/4)x(32/3)=8/3. That's the area for part A
2.) (8/3)x3=8. She would make $8
The 4 th term of an arithmetic sequence is 6 , the common difference is 2.9. Find the 18 th term. Suppose an account pays 12% simple annual interest, and $8,600 is deposited into the account. If the interest is paid monthly and no money is withdrawn from the account since the initial deposit, find the balance in the account after 5 years. Round answer to two digits after the decimal point. Suppose an account pays 14% simple annual interest, and $6.284 is deposited into the account. If the interest is paid monthly and no money is withdrawn from the account since the initial deposit, find the balance in the account after 30 months. Round answer to two digits after the decimal point. Suppose I need to borrow \$1,709 from my neighbor The Saver. The Saver charges 182% simple annual interest rate and I have to pay the principal plus interest off in 16 equal monthly payments. How much will be the monthly payment amount? Round answer to two digits after the decimal point.
The 18th term of the arithmetic sequence is 45.2, while the balance in an account with a $8,600 deposit and 12% annual interest after 5 years is $14,311.39. With a $6,284 deposit and 14% annual interest after 30 months, the account balance will be $7,463.17. Borrowing $1,709 at a 182% annual interest rate, the monthly payment for 16 months will be $202.06.
1. Arithmetic sequence: The formula to find the nth term of an arithmetic sequence is given by:
nth term = first term + (n - 1) * common difference
Here, the 4th term is given as 6 and the common difference is 2.9. Plugging in these values, we can calculate the 18th term as follows:
18th term = 6 + (18 - 1) * 2.9 = 6 + 17 * 2.9 = 45.2
2. Compound interest: For the first scenario, where $8,600 is deposited into an account that pays 12% simple annual interest compounded monthly for 5 years, we can calculate the final balance using the formula for compound interest:
A = P * \((1 + r/n)^{(n*t) }\)
Here, P is the principal amount, r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values:
P = $8,600, r = 12% = 0.12, n = 12 (monthly compounding), t = 5
A = 8600 * \((1 + 0.12/12)^{(12*5)}\)= $14,311.39
3. Similarly, for the second scenario, where $6,284 is deposited into an account that pays 14% simple annual interest compounded monthly for 30 months:
P = $6,284, r = 14% = 0.14, n = 12 (monthly compounding), t = 30/12 = 2.5
A = 6284 * \((1 + 0.14/12)^{(12*2.5)}\) = $7,463.17
4. Monthly payment: To calculate the monthly payment amount for borrowing $1,709 from The Saver at a 182% simple annual interest rate, we can divide the total amount by the number of payments. The formula for calculating the monthly payment for a loan is:
Monthly payment = Total amount / Number of payments
Here, the total amount is $1,709 and the number of payments is 16. Plugging in the values:
Monthly payment = 1709 / 16 = $202.06
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Let f(x) = 9x^2 -2x . Compute and simplify f(x + h) - f(x) / h
, for h ≠ 0
The given function is, f(x) = 9x² - 2x.
The computation of f(x + h) - f(x)/h for h ≠ 0 is as follows:
Step 1:
Firstly, f(x + h) will be calculated f(x + h) = 9(x + h)² - 2(x + h) = 9(x² + 2xh + h²) - 2x - 2h
Step 2:
f(x) will be calculated as:f(x) = 9x² - 2x
Step 3:
Now, compute the difference between the two functions:
f(x + h) - f(x) = [9(x² + 2xh + h²) - 2x - 2h] - [9x² - 2x] = 18xh + 9h²
Step 4:
we will simplify f(x + h) - f(x)
As shown below:
f(x + h) - f(x) = 18xh + 9h²
Step 5:
Then, divide by h, we get:(f(x + h) - f(x))/h = (18xh + 9h²)/h = 18x + 9h
The value of f(x + h) - f(x) / h for h ≠ 0 is 18x + 9h.
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A rectangle has a width of 15 inches and a diagonal of 17 inches. Find the length of the rectangle in inches.
The length of the rectangle = 8 inches
Explanation:The width of the rectangle, w = 15 inches
The diagonal, d = 17 inches
The length of the rectangle, l = ?
The diagram is drawn below
The diagonal of the rectangle forms a right triangle with the width and the length. Therefore, the length will be found using the Pythagora's theorem
\(\begin{gathered} d^2=w^2+l^2 \\ 17^2=15^2+l^2 \\ l^2=17^2-15^2 \\ l=\sqrt[]{17^2-15^2} \\ l=\sqrt[]{289-225} \\ l=\sqrt[]{64} \\ l=8 \end{gathered}\)The length of the rectangle = 8 inches
An anchor cable supports a vertical utility pole forming a 51 degree angle with the ground. The cable is attached to the top of the pole. If the distance from the base of the
pole to the base of the cable is 5 meters, how tall is the pole? (Round to the nearest hundredth.) PLS HELP
The height of the pole anchored to a cable is 6.17 meters.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, The anchor cable is forming an angle of 51° angle with the ground attached to a pole and the distance between them is 5 meters.
So, We need height or the opposite side length with an adjacent length of 5 meters.
We know, tan = opposite/adjacent.
tan51° = opposite/5.
opposite = tan51°×5.
opposite = 1.235×5.
opposite = 6.17 meters.
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Find the product of the complex numbers. Express your answer in trigonometric form. 2 T 2-5(co-(1)-cm ( 퍼 cas + sin 2 52T Zn = 2 COS +! sin 6. 6. 477 ОА Cos 4T 3 +isin 3 + i T 3 3 T O B. 10cos (47) sin(47) O C. 1960s(-1-isin (1) O DE ool + 3 + i sin ( 3
We will have the following:
\((5(\cos (\frac{\pi}{2})+i\sin (\frac{\pi}{2})))\cdot(2(\cos (\frac{5\pi}{5})+i\sin (\frac{5\pi}{6})))=10(\cos (-\frac{2\pi}{3})+i\sin (-\frac{2\pi}{3}))\)\(=10(\cos (\frac{4\pi}{3})+i\sin (\frac{4\pi}{3}))\)[We exploit the fact that trigonometric funtions are cyclical to determine the answer.
[Option B]
Tomas learned that the product of the polynomials
(a + b)(a? - ab + b3) was a special pattern that would
result in a sum of cubes, a? + b°. His teacher put four
products on the board and asked the class to identify
which product would result in a sum of cubes if a =
2x and b = y.
Answer:
ok this answer is so simple just do it if you still want help I will tell you
Answer:
C: (2x + y)(4x2 - 2xy + y2)
Step-by-step explanation:
Find the median for the data set. 9, 14, 11, 8, 3, 15*
Your answer
Answer:
10
Step-by-step explanation:
Align the data from smallest to largest
3,8,9, 11, 14, 15*
The median is the middle number
3,8,9, 11, 14, 15*
It would be between the 9 and 11 since there is an even number of numbers
(9+11)/2 = 20/2 = 10
The median is 10
Solution:
Arranging the data in ascending order:
3,8,9,11,14,15
N(total number of items)=6
Median=(N+1/2) th item
=(6+1/2)th item
=(7/2)th item
=3.5th item.
Again,Median=3rd item+4th item/2
=9+11/2
= 20/2
=10
Median =10
Hope it helps...
Find the length of x. Assume that lines which appear to be tangent to the circle are tangent.
A) 32
B) 35
C)38
D)42
haw many inches are in a meter
There are 39.3701 inches in a meter
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of inches be = I
Let the number of meter be = M
Now , the equation will be
There is a total of 0.393701 inches in a centimeter
So ,
1 meter = 100 centimeter
Now , substituting the values in the equation , we get
100 centimeter = 100 x 0.393701 inches
= 39.3701 inches
Therefore , the value of 1 meter is 39.3701 inches
Hence , There are 39.3701 inches in a meter
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3(2v+1)= -15(5v+16)
value of v plsss
Please help!: Mrs. Carter baked a cake that was in the shape of a rectangular prism. The cake was 24 inches long, 15 inches wide and 3 inches high. She spread frosting on all four sides and the top. How many square inches of frosting did she use?
rectangle base: 24 x 15 = 360
triangle: 15 x 3 x 1/2= 45 x 1/2 = 22.5 x 4 (each side) 90 inches
total: 360 + 90 = 450 inches :)
Jayden has signed up for a Fortnite tournament. His parents set a limit of $ 400 for the
Vbucks cost. He costs $ 250 to register, plus $ 5 for rounds played. What is the maximum number of
rounds Jayden can play?
Answer:
hzusgshsbsuwgwuvzuv5bdjdbejeb5bdjdbrbd
what is a standard transmission
A. an automatic transmission
B. a stick shift
C. a cold-weather feature
Answer:
i would say B a stick shift
Step-by-step explanation:
Amanda and Jeremiah are standing on the same side of a large lake. They are separated by a horizontal distance of 4000 ft. Both Amanda and Jeremiah can see a helicopter that is directly above the horizontal distance between them. Amanda's angle of elevation to see the helicopter is 60° and Jeremiah's angle of elevation to see it is 30°.
(c) How high off the ground is the helicopter?
Round your answer to the nearest foot.
Show all work calculating this height.
Show picture you drew to show the sides (labeled) used to calculate this height.
After answering the presented question, we can conclude that As a trigonometry result, the helicopter is approximately 2,309 feet above land.
what is trigonometry?The study of the relationship between triangle side lengths and angles is known as trigonometry. Owing to the application of geometry in astronomical research, the topic initially originated in the Hellenistic era, beginning in the third century BC. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their potential applications in computations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric shapes.
To begin, we must determine the length of the two legs of the right triangle. Let's begin with Amanda's perspective:
tan(60°) = h / x
tan(60°) = h / 2000
h = 2000 tan(60°)
h = 3464.1 ft (rounded to the closest foot) (rounded to the nearest foot)
tan(30°) = h / (4000 - x) (4000 - x)
tan(30°) = h / 2000
h = 2000 tan(30°)
h = 1154.7 ft (rounded to the closest foot) (rounded to the nearest foot)
Because we have two distinct heights for the same aircraft, we must average them to obtain the ultimate height:
(3464.1 + 1154.7) / 2 = (h for Amanda + h for Jeremiah) / 2
h = 2309.4 ft (rounded to the closest foot) (rounded to the nearest foot)
As a result, the helicopter is approximately 2,309 feet above land.
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describe a linear program whose solution describes the largest axis-aligned square that lies entirely inside p.
To describe a linear program for finding the largest axis-aligned square that lies entirely inside a polygon (p), we can define the decision variables, objective function, and constraints as follows:
Decision Variables:
Let x be the side length of the square.
Objective Function:
Maximize x. The objective is to find the largest possible side length for the square.
Constraints:
Square Within Polygon Constraint:
For each vertex (xᵢ, yᵢ) of the polygon p, we can define the following set of inequalities:
xᵢ ≤ x, for all vertices of the polygon.
These inequalities ensure that the square lies entirely within the polygon.
Square Symmetry Constraint:
To ensure that the square is axis-aligned, we can impose symmetry constraints. For example, if the coordinates of the center of the square are (c_x, c_y), then we can add the following constraints:
c_x ± (x/2) = constant, for fixed values of c_x.
c_y ± (x/2) = constant, for fixed values of c_y.
These constraints ensure that the sides of the square are parallel to the x and y axes.
Non-Negative Constraint:
x ≥ 0, to ensure a non-negative side length for the square.
By formulating and solving this linear program, we can find the optimal value for x, which represents the largest axis-aligned square that lies entirely within the given polygon p.
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Jared is making strawberry muffins for a bake sale. The recipe calls for
2
cups of strawberries for every
20
muffins. Write the ratio of cups of strawberries to number of muffins.
Answer:
It should be about 0.1 cups of strawberries to every muffin
Step-by-step explanation:
At one store, a 2-liter bottle of soda costs $2.12. At another store, a 3-liter bottle costs $3.15. Which bottle is a better deal? Write a division equation for each 2-liter bottle and then decide which is the better deal.
Answer:
The second store
Step-by-step explanation:
Divide the cost by liters, you get the cost per liter.
2.12/2=1.06 dollars per liter
In the second store is:
3.15/3=1.05 dollars per liter
Is .01 dollars cheaper.
I only have 5 minutes. plz help
Answer:
+0.05 the correct answer.so choose fourth option
Answer:
Your answer is a
Step-by-step explanation:
What is the quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2)
Answer:
2 3 0 -4 8
+ 6 12 16
3 6 8 24
A:3x^3+6x^2+8x+24/x-2
Answer:
(3x^4-4x^2+8x-1)÷(x-2)
The seventh grade band has 15 drummers and 12 trumpet players. The eighth grade band band has 10 drummers and 8 trumpet players. Do the ratios form a proportion
I Need some help on 5 asap
The graph represents the relationship between the temperature and hours after sunrise. The slope shows the temperature changes per hour and the y-intercepts shows the temperature at the time of sunrise. The linear equation of this condition is y = 4x + 4.
From the graph, we can get some informations:
The temperature at the time of sunrise is 4 degrees celcius. This information is represented by the y-intercepts on 4 or point (0, 4). This is the initial temperature of the day.
Next, we will try to find the slope of the graph. We take 2 points:
(0, 4)
(1, 8)
Slope (m) = y₂ - y₁
x₂ - x₁
m = (8 - 4)
(1 - 0)
m = 4
However, as the hour goes by, the temperature increases by 4 degrees celcius. This information is known based on the slope of the graph. The slope represents the degree celcius of temperature change per hour.
Based on the found y-intercepts and slope, we can formulated the linear equation of the graph as:
y = 4x + 4
where:
y = temperature
x = hours after sunrise
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explain what the symbols and sd represent.
The symbols d and sd represent:
The differences in the mean of the paired data entries in the dependent samples.
What is the standard deviation?
A measure of a set of values' variance or dispersion is called the standard deviation.
Here,
d: the difference between paired data in the dependent samples.
sd: standard deviation.
The dependent samples' dependent samples' standard deviation for the variance between the means of the paired data items.
Hence, the differences in the mean of the paired data entries in the dependent samples.
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when can a correlation coefficient based on an observational study be used to support a claim of cause and effect?
A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect, as correlation does not imply causation.
Correlation is a statistical measure that describes the strength and direction of a relationship between two variables. A correlation coefficient ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation. Correlation does not imply causation, meaning that just because two variables are correlated does not mean that one causes the other.
In an observational study, researchers observe and record data on variables of interest without manipulating them directly. These studies are often used in fields such as epidemiology, social sciences, and psychology to investigate relationships between variables and identify potential risk factors for diseases or other outcomes.
Observational studies can suggest possible relationships between variables, but they cannot prove causation. This is because there may be other factors that are influencing the relationship between the variables, and these factors cannot be controlled or accounted for in an observational study. In order to establish causation, researchers need to conduct experiments where they can manipulate the variables and control for other factors that may influence the outcome.
Therefore, a correlation coefficient based on an observational study cannot be used to support a claim of cause and effect, as correlation does not imply causation.
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how in the world do you do this problem
(-1,0)
y+__= 4(x+2)
Solve z = -10x, for x.
Answer:
B
Step-by-step explanation:
z = -10x
z + 10 = -10x + 10 = x
Answer: D
If z = -10x, we can divide both sides of the equation by -10 to get z/(-10) = x. This is the same as \(x=-\frac{z}{10}\).
about ____ of the possible outcomes occur within one standard deviation of the mean\
Answer:
68%
Step-by-step explanation:
In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:
About 68% of the data falls within one standard deviation of the mean.About 95% of the data falls within two standard deviations of the mean.About 99.7% of the data falls within three standard deviations of the mean.when i see "The quotient of" what I do
Answer:
Step-by-step explanation:
Divide
Answer: Divide
Step-by-step explanation:
The quotient can be calculated by dividing dividend with divisor. Quotient = Dividend ÷ Divisor. This is the most common method used to solve problems on division.
Which algebraic expression is equivalent to x+x+2+w+w+w
A.2w+2+3x
B.x+2+w
C.2x+2+3w
D.2x3w+2
referring to the table below, are the events is female and owns a dog independent?
Answer:
No
Step-by-step explanation:
They are independent iff:
P(F & D) = P(F) × P(D)
15.278/100 = (55/100) × (27.778/100)
0.15278 = 0.125279 (false)
Therefore, not independent