PLEASSEEE HELPPPP ME EITH THIS!!
Answer:
PQ = 98.21
Step-by-step explanation:
PQ/23 = 47/11
PQ × 11
23 × 47
11PQ = 1081
11PQ/11 = 1081/11
PQ = 98.21
i need help figuring out if these are a Function or Not a Function (if someone can also leave an explanation cause I rly don't understand any of this)
What is ""statistical conclusion validity""? what was the main threat to statistical conclusion validity discussed in class?
Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.
The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.
Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.
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A website on animal tricks had 143,699 hits on Monday. What is this number rounded to the nearest ten thousand?
Answer:
140,000
Step-by-step explanation:
We know that the number is 143,699.
We are asked to round to the nearest ten thousand, which is the number bolded:
143,699
This means we have to look at the number to the right of the 4, which is 3. If this number is below "5", then we round down to get 140,000.
If this number was (and it's NOT) above "5" or "5" itself, we would round up to 150,000.
Since "3" is below "5", we would round down to 140,000.
Hope this helps! :)
How do you solve formulas and literal equations for a variable?
Answer:
Move the variables to one side and the constants to the other through subtraction/additions to BOTH SIDES. Then, divide/multiply to get x = some constant.
Step-by-step explanation:
Try Khan Academy.
Consider the quadratic pattern -7;0;9;20 4.1 show that the general term of the quadratic number pattern is given by tn=n^2+4n-12
To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.
Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.
First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11
We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.
To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2
The second differences are constant, which suggests a quadratic pattern.
Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.
Using the given terms, we can form three equations:
1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)
Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9
Solving this system of equations, we find a = 1, b = 4, and c = -12.
Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).
The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).
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2. What is the vertex of the function g(x) = |x - 3| - 1? (A) (B) (c (3,1) (3,1) (-3,-1 (-3,1)
Consider first the graph of the function |x|. It looks like this
for this graph, the vertex is located at (0,0). Now, the function |x-3| has the same graph as |x| but shifted 3 units to the right. It looks like this
In this case, the vertex is located at (3,0). Finally, for the function |x-3|-1 we shift the graph of |x-3| one unit down. So we get
This means that the vertex of this graph is (3,-1).
What would be the best rule/function for this table?
Answer:
Bacteria doubles every hour
Step-by-step explanation:
1 to 2
2 to 4
4 to 8
find an equation of the tangent line to the curve at the given point. y = 5ex cos(x), (0, 5)
To find the equation of the tangent line to the curve y = 5ex cos(x) at the point (0, 5), we need to find the slope of the tangent line at that point.
First, we find the derivative of y with respect to x:
dy/dx = 5ex (-sin(x)) + 5ex cos(x)
Next, we evaluate the derivative at x = 0:
dy/dx |x=0 = 5e0 (-sin(0)) + 5e0 cos(0) = 5
So the slope of the tangent line at (0, 5) is 5.
Now we use the point-slope form of the equation of a line to find the equation of the tangent line:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is the given point.
Plugging in the values we have:
y - 5 = 5(x - 0)
Simplifying, we get:
y = 5x + 5
So the equation of the tangent line to the curve y = 5ex cos(x) at the point (0, 5) is y = 5x + 5.
Step 1: Find the derivative of the function y.
Given function y = 5e^x cos(x), we will differentiate it with respect to x using the product rule.
Product rule: (uv)' = u'v + uv'
Let u = 5e^x and v = cos(x).
Step 2: Find u' and v'.
u' = d(5e^x)/dx = 5e^x
v' = d(cos(x))/dx = -sin(x)
Step 3: Apply the product rule.
y' = u'v + uv'
y' = (5e^x)(cos(x)) + (5e^x)(-sin(x))
y' = 5e^x(cos(x) - sin(x))
Step 4: Find the slope of the tangent line at the given point (0, 5).
Substitute x = 0 in the derived equation.
y'(0) = 5e^0(cos(0) - sin(0)) = 5(1)(1 - 0) = 5
Step 5: Use the point-slope form to find the equation of the tangent line.
Point-slope form: y - y1 = m(x - x1)
Given point: (0, 5) => x1 = 0 and y1 = 5
Slope (m) = 5
Step 6: Plug the values into the point-slope form.
y - 5 = 5(x - 0)
y - 5 = 5x
Step 7: Rewrite the equation in slope-intercept form (y = mx + b).
y = 5x + 5
The equation of the tangent line to the curve y = 5e^x cos(x) at the point (0, 5) is y = 5x + 5.
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Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Step-by-step explanation:
Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are 12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..
Answer: 6.9474 or 6.94736.
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Please help me with the answer plz
Answer:
y=2x-1
Step-by-step explanation:
yeah i think
The Hu family goes out for lunch, and the price of the meal is $42. The sales tax on the
meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the
total cost of the meal?
Answer:
The total cost of the meal was $52.92.
Step-by-step explanation:
Find the amount of tax:
\(42 * 0.06 = 2.52\)Find the amount of tip:
\(42 * 0.20 = 8.4\)Add the cost of the meal, tax and tip to find total cost:
\(42 + 2.52 + 8.4 = 52.92\)What is the length of a radius of the circle represented by the equation
x2 + y2 - 4x - 4y + 4 = 0?
A) 2 units
B) 4 units
C) 8 units
D) 16 units
Answer:
A) 2 units
Step-by-step explanation:
Given;
x² + y² - 4x - 4y + 4 = 0
Consider general circle equation;
(x - h)² + (y - k)² = r²
where;
(h , k ) is the center of the circle
r is the radius of the circle
x² + y² - 4x - 4y + 4 = 0
subtract 4 from both sides of the equation
x² + y² - 4x - 4y = - 4
square half of coefficient of x and y, and add them to both sides of the equation
x² + - 4x + (-2)² + y² - 4y + (-2)² = - 4 + (-2)² + (-2)²
factorize x and y
(x - 2)² + (y - 2)² = - 4 + 4 + 4
(x - 2)² + (y - 2)² = 4
(x - 2)² + (y - 2)² = 2²
Compare this final equation to general equation of a circle
(x - 2)² + (y - 2)² = 2²
(x - h)² + (y - k)² = r²
r = 2
Thus, the length of a radius of the circle is 2 units
What can give you the height 623 ft
Answer:
not enough of information
Step-by-step explanation:
Sarah was 50 1/4 inches tall when she was 12 years old. she was 48 1/2 inches tall when she was 11. how much did she grow during the year?
Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the tangent line at this point?
Answer:
Length of the radii of the circles → 4 units and 1 unit
Equation of common tangent → x = 4
Step-by-step explanation:
From the figure attached,
Length of radii of each circles are,
Radius of circle S = 4 units
Radius of circle T = 1 unit
Common point where the circles are touching → (4, 1)
Common tangent to these circles is a line perpendicular to x-axis passing through x = 4,
Equation of the tangent will be,
x = 4
Find the value of p
Find the arc length of AB
Answer:
p = 38.22
Step-by-step explanation:
Area of sector
\( = \frac{ \theta}{360 \degree} \pi {r}^{2} \\ \\ 12 = \frac{p\degree}{360 \degree} \times 3.14 \times {6}^{2} \\ \\ 12 = \frac{p\degree}{360 \degree} \times 3.14 \times 36 \\ \\ p \degree= \frac{12 \times 360 \degree}{3.14 \times 36} \\ \\ p\degree = \frac{4,320 \degree}{113.04} \\ \\ p \degree= 38.2165605 \degree \\ \\ p = 38.22\)
2) The representative agent lives for infinite periods (0,1,2,…) and receives exogenous incomes of y0,y1,y2,…, respectively. The lifetime present discounted value of utility is given by: ∑t=0[infinity]βtln(ct) with β(<1) being the discount factor and ct is consumption at time t. The agent is allowed to save or borrow at the real interest rate r, but she cannot die with debt or wealth. Assume also that the initial wealth is zero. a. Solve the optimization problem of the agent using the period-by-period budget constraints. In particular, show the Euler equation. b. Using the given functional form, write the Euler equation between time 1 and time 3 . In other words, show how c1 and c3 are related. c. Write the present discounted value of optimal lifetime consumption as a function of c0 (and, potentially, other parameters or exogenous variables). d. Write the present discounted value of optimal lifetime utility as a function of c0 (and, potentially, other parameters or exogenous variables). e. Find the present discounted value of lifetime income as a function of y0 (and, potentially, other parameters or exogenous variables) when income is growing each period at the rate of γ, where 0<γ0 ? Explain!
a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. U0 = ∑t=0[infinity](β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.
a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:
At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.
Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin
d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity](β(1 + r))^tln(ct).
This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.
This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.
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Use a net to find the surface area of the right triangular prism shown below (Please show how you worked it) :
104 square feet
412 square feet
468 square feet
504 square feet
Answer:
468 square feet; Option C
Step-by-step explanation:
We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:
Area ⇒ 15 * 10 = 150 ft^2
Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:
Area ⇒ 9 * 10 = 90 ft^2
This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2
Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2
This means the surface area of the right, triangular prism is:
150 + 90 + 120 + 108 = Answer: 468 square feet
Evaluate the expression using the given value 5a+3 a=6
Answer- 33
We are told that A=6, there for we can right out our equation fully.
(5 x 6)+3. Our multiplication sentence with go in parentheses ( ) so we know to do that part of our equation first. 5 times 6 is 30. After we multiply we add our outside number(s). 30 plus 3 is 33. Which means the solution to the equation is 33.
5a +3= 33 or (5x6) +3 = 33
Hope this helps! and GOOD LUCK.
Round 672,641 to the nearest ten thousand.
Answer:
673,000 i think hope this helps have a nice day please give me brainliest if correct :))
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!
Answer:
27.6%
Step-by-step explanation:
See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%. (8/29)*(100%) = 27.6% to the nearest tenth.
Shelly is using a vase shaped like a triangular prism to display a dozen roses. The volume
of the vase is 154 cubic inches with dimensions shown.
h
7 in.
4 in.
What is the height, h, of the vase?
Answer:
11 inchesStep-by-step explanation:
Assume the base is right triangle.
The volume:
V = bh = 1/2abhSubstitute values and solve for h:
154 = 1/2(7)(4)h154 = 14hh = 154/14h = 11 inches-(1.67+ 1.67 +26.6) x 10-24
-29.94 x 10-24
-2.994 x 10-23
The mass of a water molecule is about 2.994 x 10-23 g.
Look at the Example. A hydrogen peroxide molecule has two oxygen atoms and
two hydrogen atoms. What is the mass of one molecule of hydrogen peroxide?
Write your answer using scientific notation.
2 a. Use the information from the Example. Complete the steps to find how
many grams as great the mass of one oxygen atom is than the mass of one
hydrogen atom.
(2.66 x 10-23) - (1.67 x 10-24) =(
The mass of an oxygen atom is
=
x 10-24) (1.67 x 10-24)
-) X 10-24
X 10-24
X 10-23
Answer:
is it not 10 minus 23 I think that would be the answer
Answer:
Step-by-step explanation:
1.9×10−221.99×10−231.99×10−231.9×10−221.91.99×10−2210−231.991.9×10−2310−22Divide numbers and 10's separately0.954774...×1010.954774...×101Subtract exponents9.54774...9.54774...Convert to standard notation9.59.5
wander 9.5
which of the following numbers are rational numbers? -1.3, 1 3/4, 0, 609
Answer:
1.3
Step-by-step explanation:
im not sure
determine whether the random variable described is discrete or continuous or qualitative: the time (in minute) you must wait in line at the grocery store
The time you must wait in line at the grocery store is best characterized as a continuous random variable.
The random variable described, the time you must wait in line at the grocery store, can be categorized as a continuous random variable.
A continuous random variable is one that can take on any value within a specific range or interval. In this case, the time you must wait in line can theoretically take on any positive real value, from a fraction of a minute to potentially an extended period of time.
For instance, you may wait 2.5 minutes, 3.726 minutes, or even 10.152 minutes. The time is not restricted to specific discrete values or intervals; it can be infinitely subdivided.
In contrast, a discrete random variable would be one that can only take on a countable number of distinct values. For example, the number of people in line at the grocery store would be a discrete random variable since it can only be a whole number (1 person, 2 people, 3 people, etc.).
Additionally, it is important to note that the random variable in question is not qualitative. Qualitative variables are typically categorical or non-numerical in nature, representing qualities or attributes rather than quantities.
Examples of qualitative variables could be the color of a car or the type of grocery items purchased.
In this case, the time you wait in line is a quantitative variable measured in minutes and is thus not qualitative. Therefore, the time you must wait in line at the grocery store is best characterized as a continuous random variable.
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Exponential Decay:
A new car costs $27,405. It is expected to depreciate at an average rate of 13.4% per
year. Find the value of the car in 9 years. Round to the nearest dollar.
The value of the car in 9 years after it depreciates at an average rate of 13.4% per year is $7507.422.
What is depreciation cost?The value of a fixed asset less the total cumulative depreciation that has been recorded against it is its depreciated cost. The total amount of capital that is "used up" in a certain time frame, such as a fiscal year, is referred to as the depreciated cost in a broader economic sense. The accuracy with which depreciation is calculated allows one to assess patterns in a company's capital expenditures and how aggressive its accounting practices are.
The terms "salvage value," "net book value," and "adjusted cost base" are all synonyms for "depreciated cost."
Given that, the car costs $27,405. It is expected to depreciate at an average rate of 13.4% per year.
The equation for the depreciation can be set as follows:
A = P (1 - D)ⁿ
where, A is the value of depreciation after n years.
P is the initial value, and D is the depreciation.
Substituting the values we have:
A = 27405 (1 - 13.4/100)⁹
A = 27405 (0.273)
A = 7507.422
Hence, the value of the car in 9 years after it depreciates at an average rate of 13.4% per year is $7507.422.
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Roman has 415 baseball cards. He gives away
three each day until he has 280 left. Write and
solve an equation to determine how many days
he gave away baseball cards.
Answer:
45
Step-by-step explanation:
How do you find the surface area of an acute triangle?
The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.
According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.
The area of the acute triangle can be calculated by the formula:
area of acute triangle = (1/2) × b × h
b = base, and
h = height
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Help open up a jewelry store, Tom borrowed money from an online lending company He took out a personal, amortized loan for 44,000, at an interest rate of 6. 25\% with monthly payments for a term of 7 years For each part, do not round any intermediate computations and round your final answers to the nearest cent necessary, refer to the list of financial formulas (a) Find Tom's monthly payment (b) Tom pays the monthly payment each month for the full term , his total amount to repay the () Tom pays the monthly payment each month for the full termfind the total amount of interest he will pay
Tom will pay a total of $13,424.20 in interest over the term of the loan.
The formula to calculate the monthly payment for an amortized loan is given by: `P = r(PV) / [1 - (1 + r)^(-n)]`Where P is the monthly payment, r is the interest rate per month, PV is the present value of the loan, and n is the number of payments or the total number of months.
Substituting the given values, we get:P = 0.0052083333 × 44,000 / [1 - (1 + 0.0052083333)^(-7×12)]P = 632.32Therefore, Tom's monthly payment is $632.32 (rounded to the nearest cent).b. Since Tom pays the monthly payment each month for the full term, his total amount to repay the loan is equal to the present value of the loan.
Therefore, the total amount to repay the loan is $44,000 (rounded to the nearest cent).c. The total amount of interest paid over the term of the loan can be calculated as the difference between the total amount repaid and the principal amount of the loan.
Therefore, the total interest paid is: Total interest paid = Total amount repaid - Principal amount of the loan Total interest paid = $57,424.20 - $44,000Total interest paid = $13,424.20
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