Answer:
1.4
Step-by-step explanation:
Answer:
1.4
Step-by-step explanation:
Which equation could be used to solve for the measure of angle O? (1 point) x + z = 180 x + y = 180 x - (y + z) = 360 x + y + z = 360
Answer:
x + y + z = 360
Answer:
x + y + z = 360°
Step-by-step explanation:
I presume that the attached image is what you are trying to achieve.
x + y + z = 360°
y=? what does this even meannnnn
The calculated measure of angle y is 60 degrees
How to calculate the value of yfrom the question, we have the following parameters that can be used in our computation:
The figure
From the figure, we can see that
The shape can be divided into two triangles such that
Each triangle is an equilateral triangle
The measure of an angle in an equilateral triangle is 60 degrees
using the above as a guide, we have the following:
y = 60
Hence, the value of y is 60 degrees
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Marla made $42 babysitting
for 5 hour's. How much money
did she make each hour?
A $8,40
B. 18.10
C. $1.90
D. $11.90
Help please
Answer: she made $8.40
Step-by-step explanation: divide 42 by 5 to get your answer
Answer:
A - $8.40
Step-by-step explanation:
You would have to do 45÷5
f(x) = x + 9, g(x) = x^2 - 4x, h(x) = x^4 + 2x^3
What is the degree of (fogoh)(x)?
7
8
21
24
Answer:
8
Step-by-step explanation:
edge 2020
Answer:
7
Step-by-step explanation:
degree of F + degree of G +degree of H
=1+2+4
=7
The length of a rectangle is a centimeters, and the width of this rectangle is b centimeters. Write an expression for the area of the rectangle. "a" and "b" are variables.
Answer:
Area = ab
Step-by-step explanation:
Area is length × width, so fill in a for the length and b for the width. Multiply a and b together.
A = a×b
A = ab
Find the missing sides and angles of this triangle
Find the volume of the cone.
What is the radius?
12
What is the height?
5
Write the volume in terms of pi (1/3 times radius squared times the height only).
π km3
Solve for the volume (Multiply by 3.14 this time)
Answer:
Step-by-step explanation:
Your first two answers are incorrect. Radius = 5 km
Height = 12 km
volume of cone = πr²h/3 = π5²⋅12 = 300π km³
300π ≈ 942 km³
X1 3. A firm has a production function f(x₁,x₂)= x₁¹/³ x₂²/3. The price of x₁ =1 and the price of x₂ =2. Denote the output by y. Derive the conditional demand for x₁ (equation for the y and cost minimizing x₁) and cost function c(y). If the market price is given by 2, what is the profit maximizing output? If the firm has limit of output which is 100, then derive the supply curve of this firm (note that in this case of deriving the supply curve, you should consider the general price, not 2
Given that the production function of a firm is f(x1, x2) = x1^(1/3) * x2^(2/3), where price of x1 = 1 and price of x2 = 2. Let's derive the conditional demand for x1 and cost function c(y).
Conditional demand for x1 can be derived as:
∂f(x1, x2)/ ∂x1 = (∂/∂x1) (x1^(1/3) * x2^(2/3))= (1/3) * x1^(-2/3) * x2^(2/3)
Now, put the value of x2 = (y/ x1^(1/3))^3 in the above equation.
∂f(x1, x2)/ ∂x1 = (1/3) * x1^(-2/3) * (y/ x1^(1/3))^2 = (1/3) * y^2 * x1^(-4/3)
Since price of x1 = 1, the cost function can be written as c(y) = w1 * x1 + w2 * x2 = x1 + 2x2 = x1 + 4(y/ x1^(1/3))
The cost function of the firm is
c(y) = x1 + 4y^(1/3) * x1^(-1/3) = x1 + 4y^(1/3)/x1^(1/3)
In order to maximize the profit, we need to differentiate the cost function with respect to x1 and equate it to zero.
(c(y))/d(x1) = 1 - 4/3 * y^(1/3) * x1^(-4/3) = 0
x1 = (3/4) * y^(1/3)
On substituting the value of x1 in the cost function, we get:
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Someone please help i need an explanation and answer fast
A submarine was stationed 700 feet below sea level. It ascends 250 feet every hour. If the submarine continues to ascend at the same rate, when will the submarine be at the surface?
15 points!
Direction: Choose the letter that you think best answers each of the following questions. 1. What is that branch of pure mathematics that deals with the relations of the sides and angles of triangles? A. algebra B. geometry C. trigonometry D. calculus side? 2. With respect to the given angle, what is the ratio of the hypotenuse to the opposite A. sine B. cosine C. cosecant D. secant 3. What is the opposite side of angle D? A. DF B. DE C. EF D. DEF D E F
Answer:
1. C
2.A
3.A
Step-by-step explanation:
A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?
Answer:
$2,753.79
Step-by-step explanation:
Compound Interest Formula
\(\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}\)
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $2,000r = 3.25% = 0.0325n = 1t = 10Substitute the given values into the formula and solve for A:
\(\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}\)
\(\implies \sf A=2000(1.0325)^{10}\)
\(\implies \sf A=2753.788608...\)
Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.
what is the rise and the run
Answer:
Rise/run is m which practically means the slope :)
Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional
Answer
linear
nonproportional
Step-by-step explanation:
Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.
At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.
Answer:
linear
nonproportional
What is the sum of mza+ m2b+ m2c?
Select the best answer from the choices provided.
A.245°
B.252°
C.360°
D.540°
The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, yˆ = b0 + b1x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Hours unsupervised 0 0.5 1.5 4 4.5 5 6
Overall Grades 98 94 85 81 78 74 63
Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.
Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places.
Step 3 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable ˆy.
step 4 of 6: Determine if the statement "All points predicted by the linear model fall on the same line" is true or false.
Step 5 of 6: Determine the value of the dependent variable ˆy at x = 0.
Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places.
1. the estimated slope (b1) is approximately -8.935
2. the estimated y-intercept is approximately 110.562
3. ŷ = 110.562 - 8.935 * x
4. we cannot definitively determine if all points fall on the same line based on the given information.
5. The value of the dependent variable ŷ at x = 0 is approximately 110.562.
6. The value of the coefficient of determination (R²) is approximately 0.414.
To find the estimated slope and y-intercept, we can use the least squares regression method to fit a line to the given data points.
Step 1 of 6: Find the estimated slope (b₁):
We need to calculate the slope (b₁) using the formula:
b₁ = Σ((xi - \(\bar{x}\))(yi - \(\bar{y}\))) / Σ((xi - \(\bar{x}\))²)
Where:
xi = hours unsupervised
\(\bar{x}\) = mean of hours unsupervised
yi = overall grade average
\(\bar{y}\) = mean of overall grade average
Using the provided data, we can calculate the estimated slope as follows:
xi | yi
---------------
0 | 98
0.5 | 94
1.5 | 85
4 | 81
4.5 | 78
5 | 74
6 | 63
First, calculate the means:
\(\bar{x}\) = (0 + 0.5 + 1.5 + 4 + 4.5 + 5 + 6) / 7 = 3.2143 (rounded to 4 decimal places)
\(\bar{y}\) = (98 + 94 + 85 + 81 + 78 + 74 + 63) / 7 = 82.2857 (rounded to 4 decimal places)
Now, calculate the estimated slope (b₁):
b₁ = ((0 - 3.2143)(98 - 82.2857) + (0.5 - 3.2143)(94 - 82.2857) + (1.5 - 3.2143)(85 - 82.2857) + (4 - 3.2143)(81 - 82.2857) + (4.5 - 3.2143)(78 - 82.2857) + (5 - 3.2143)(74 - 82.2857) + (6 - 3.2143)(63 - 82.2857)) / ((0 - 3.2143)² + (0.5 - 3.2143)² + (1.5 - 3.2143)² + (4 - 3.2143)² + (4.5 - 3.2143)² + (5 - 3.2143)² + (6 - 3.2143)²)
After performing the calculations, the estimated slope (b1) is approximately -8.935 (rounded to 3 decimal places).
Step 2 of 6: Find the estimated y-intercept (b₀):
We can use the formula:
b0 = \(\bar{y}\) - b₁ * \(\bar{x}\)
Using the values we calculated in step 1, the estimated y-intercept is approximately 110.562 (rounded to 3 decimal places).
Step 3 of 6: Substitute the values into the equation for the regression line:
The estimated linear model is given by the equation:
ŷ = b₀ + b₁ * x
Substituting the values we found in steps 1 and 2:
ŷ = 110.562 - 8.935 * x
Step 4 of 6: Determine if the statement "All points predicted by the linear model fall on the same line" is true or false.
To determine if the points fall on the same line, we would need to compare the predicted values (ŷ) obtained from the linear model equation with the actual values (yi) of the overall grade average. Since we don't have the actual values for all data points, we cannot definitively determine if all points fall on the same line based on the given information.
Step 5 of 6: Determine the value of the dependent variable ŷ at x = 0:
Substituting x = 0 into the linear model equation:
ŷ = 110.562 - 8.935 * 0
ŷ = 110.562
The value of the dependent variable ŷ at x = 0 is approximately 110.562.
Step 6 of 6: Find the value of the coefficient of determination:
The coefficient of determination (R²) is a measure of how well the regression line fits the data. It represents the proportion of the variance in the dependent variable that can be explained by the independent variable.
To calculate R², we need the sum of squares total (SST), which is the sum of the squared differences between each yi and the mean ȳ, and the sum of squares residual (SSE), which is the sum of the squared differences between each yi and the corresponding predicted ŷ.
The formula for R² is given by:
R² = 1 - (SSE / SST)
Calculating SST:
SST = Σ((yi - \(\bar{y}\))²) = (98 - 82.2857)² + (94 - 82.2857)² + (85 - 82.2857)² + (81 - 82.2857)² + (78 - 82.2857)² + (74 - 82.2857)² + (63 - 82.2857)²
Calculating SSE:
SSE = Σ((yi - ŷ)²) = (98 - (110.562 - 8.935 * 0))² + (94 - (110.562 - 8.935 * 0.5))² + (85 - (110.562 - 8.935 * 1.5))² + (81 - (110.562 - 8.935 * 4))² + (78 - (110.562 - 8.935 * 4.5))² + (74 - (110.562 - 8.935 * 5))² + (63 - (110.562 - 8.935 * 6))²
After performing the calculations, the values are:
SST = 1110.857 (rounded to 3 decimal places)
SSE = 650.901 (rounded to 3 decimal places)
Now, calculate R²:
R² = 1 - (650.901 / 1110.857)
R² ≈ 0.414 (rounded to 3 decimal places)
The value of the coefficient of determination (R²) is approximately 0.414.
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a box contains 7 green marbles, 4 blue marbles, and 8 red marbles. three marbles are selected at random from the box, one at a time, without replacement. find the probability that the first two marbles selected are not red, and the last marble is red.
i hope that this helps
goodluck :)
Can some one help me?
Answer:
W = 10 cm
Step-by-step explanation:
Area of a Triangle and a Rectangle
The area of a triangle of base B and height H is:
\(\displaystyle A_t=\frac{BH}{2}\)
The area of a rectangle of width W and length L is:
\(A_r=WL\)
We are given the base of the triangle B=6 cm and the height H=8 cm, thus the area is:
\(\displaystyle A_t=\frac{6*8}{2}= 24\ cm^2\)
The area of the rectangle is 5 times the area of the triangle, thus:
\(A_r=5*24\ cm^2=120\ cm^2\)
If we know the area of the rectangle and its length, we can find the width by solving for W:
\(\displaystyle W=\frac{A_r}{L}\)
The rectangle has a length of L=12 cm, thus:
\(\displaystyle W=\frac{120}{12}=10\ cm\)
W = 10 cm
to find the optimal solution to a linear optimization problem, do you have to examine all of the points in the feasible region? explain.
No, one does not have to examine all the points in the feasible region as the optimal solution exists at one of the corner points.
How can the optimal solution of a linear programming problem be determined?It follows from the task content that the point where the optimal solution of a linear optimization problem exists is to be determined.
It is note-worthy to know that a feasible region’s optimal solution must be a corner point of the feasible region and at this point is where the objective function is maximised or minimised the value of the objective function.
Therefore, although all solutions in the feasible regions are valid; However, in a bid to determine the optimal solution, the corner points of the constraints-objective function plot are considered.
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What is the first step in solving the following equation 3x - 5 = 20?
If a ∥ b and m∠1 = 65°, what is m∠2?
Answer:
65 degrees
Step-by-step explanation:
the angles are corresponding, and corresponding angles always have the same angle measures
If a ∥ b and m∠1 = 65°, The measure of m∠2 will be 65°.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle." when a transverse line crosses two straight lines, corresponding angles are formed.
When two lines are crossed by a third line, these angles are generated at equivalent corners or corners corresponding to the transversal.
It is given that, a ∥ b and m∠1 = 65.
If the transversal meets two parallel lines, the corresponding angles theory asserts that the corresponding angles are congruent. In other words, the angles formed when a transversal crosses two parallel lines will always be equal.
Since corresponding angles always have the same angle measures, the angles are said to be corresponding.
As a result,
m∠1 =m∠2
m∠1 = 65°
m∠2=65°
Thus, if a ∥ b and m∠1 = 65°, The measure of m∠2 will be 65°.
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Dayshon begins with five pennies in his bank on Day 1. Pennies are added to his bank every day, resulting in the following geometric sequence: 5,15,45,135, ... This pattern continues for 7 days. How many pennies will he have at the end of day 7? (Express your answer as pennies, not as dollars and cents!)
Answer:
5465 pennies
The explanation is a lot to type and I'm in class just trying to help
if initial concentrations are [a]=0.50 m, [b]=0.75 m, and [c]=1.2 m, and at equilibrium [c]=1.0 m, what is the equilibrium constant?
The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.
The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.
To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.
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Richard is selling candy bars for a school fundraiser on Monday he has 225 bars Remaining he sells an average of 30 bars per day how many bars will he have left at the end of the day on Friday?
Answer:
Mon - Fri: 4 days 4*30 = 120 bars given away. 225 - 120 = 135 bars
Step-by-step explanation:
based on this equation, if the observed price (p) exceeds the price expected by the producers (pe), then:
Based on the given information, if the observed price (p) exceeds the price expected by the producers (pe), then we can infer the following:
Demand exceeds supply: When the observed price is higher than the price expected by the producers, it suggests that there is greater demand for the product than initially anticipated. This could be due to various factors such as increased consumer demand, scarcity of supply, or other market dynamics.
Potential increase in profitability: If the observed price is higher than the expected price, it implies that producers can potentially generate higher profits. This situation may incentivize producers to increase production to meet the higher demand and take advantage of the higher prices.
Market equilibrium may shift: When the observed price surpasses the price expected by the producers, it indicates an imbalance between supply and demand. This could lead to a new market equilibrium where the price adjusts to reflect the increased demand and potentially influence the producers' pricing strategies in the future.
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the probability distribution of all possible values of the sample mean is called the . select one: a. central probability distribution b. standard error c. sampling distribution of the sample mean d. random variation
The probability distribution of all possible values of the sample mean is called the sampling distribution of the mean.
What is meant by the sampling distribution of the mean?
An accurate probability distribution of a statistic is known as a sampling distribution, and it is created by repeatedly sampling a certain population. It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.Why is sampling essential and what does it mean?
Sampling is the process of choosing a portion of the general population or a subset of social phenomena to be investigated. The primary goal of sampling is to make assumptions about the larger group based on data collected from the smaller group. The selection of a representative sample is the primary means of achieving this.Learn more about Probability
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Megan recently invested $2,000 dollars in a fast-growing company. Her financial advisor expects that Megan's investment will grow in value by approximately 6% every month.
a) Write a function rule I(m) that models the value of Megan's investment after m months.
b) How much will her investment be worth in two years? Round to the nearest cent.
Answer:
2090
Step-by-step explanation:
0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent
Can you solve this.
The Perimeter of Square is 24\(j^5\) + 20j.
What is Perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
Given:
Side of Square = 6\(j^5\) + 5j + 0
So, Perimeter of square = 4x side
= 4 x (6\(j^5\) + 5j + 0)
= 24\(j^5\) + 20j
Thus, the Perimeter is 24\(j^5\) + 20j.
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Which expressions are equivalent to 5^12 x 5^8? A. 25^20 B. (25^5)^4 C. (5^3 x 5^2)^4 D. (5^5)^4
Hey there! I'm happy to help!
When multiplying numbers with exponents, all you do is add the exponent numbers, so 5^12×5^8=5^20.
A is not equal to this.
B is also not equal to this. B is 25^20.
C is wrong as well. It is 5^5.
This leaves us with D, which does evaluate to 5^20. If you raise a power to a power you multiply the exponent numbers, and 5(4)=20.
The answer is D. (5^5)^4.
Have a wonderful day! :D
5^12 * 5^8
5^12+8
5^20
The only option that is equal to that is D.
(5^5)^4
5^5*4
5^20
Best of Luck!
a class of 20 students is divided into two groups of 10 and then each group is lined up in a particular order. how many ways are there to divide the class and line up the groups?
There are ²⁰С₁₀ × 10! × 10! ways to divide the class and line up the groups.
Number of students in the class = 20
Selection of group one = ²⁰С₁₀ ways
Selection of group two = 1 way
Number of ways to arrange 10 students in a group = 10!
So, Total number of ways = ²⁰С₁₀ × 10! × 10! ways.
Hence there are ²⁰С₁₀ × 10! × 10! ways to divide the class and line up the groups.
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please help me out for a brainlist
Answer:
22.50
Step-by-step explanation:
2.50x6=15+7.50=22.50
Answer:
$22.50
Step-by-step explanation:
well we know we have 7.50 in the beginning then we add 2.50 x 6 to make the equation 7.50+ ( 2.50 X 6) which equals 22.50