A company rents out 14 food booths and 20 game booths at the county fair. The fee for a food booth is $125 plus $8 per day. The fee for a game booth is $50 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answers
Related Questions
What is the percent of change in 6 yards to 36 yards - - - 7th-grade math show the work
Answers
Answer:
Step-by-step explanation:
Rounded percent of change = 500.0% Therefore, the percent of change is an increase of 500.0%.
I think sorry if I’m wrong
the solution of the system of congruence x = 3(mod 5), x = 5(mod 7) is
x =29 mod 35
x =27 mod 35
x =23 mod 35
x =33 mod 35
Answers
Answer:
To solve this system of congruences, we can use the Chinese Remainder Theorem.
From the first congruence, we know that x is of the form x = 5k + 3, where k is an integer.
Substituting this into the second congruence, we get:
5k + 3 ≡ 5 (mod 7)
5k ≡ 2 (mod 7)
Multiplying both sides by the inverse of 5 modulo 7, which is 3, we get:
k ≡ 6 (mod 7)
So, k is of the form k = 7m + 6, where m is an integer.
Substituting this back into x = 5k + 3, we get:
x ≡ 5(7m + 6) + 3 (mod 35)
x ≡ 35m + 33 (mod 35)
Therefore, the solution to the system of congruences is x ≡ 33 (mod 35).
So, the answer is x = 33 mod 35.
Find each product
6xy2(x4+3x3y+3xy3)
PLEASE HELP!!! ASAP!!
Answers
Answer:
6x^3y^2+18x^4y^3+18x^2y^5
Step-by-step explanation:
Multiply each term:
6x^3y^2+18x^4y^3+18x^2y^5
Plz mark me brainliest!!
this is on metric measurements. but i’m not sure what they want me to do. can you give me the correct 9 letter sequence & explain how you got it?
Answers
Answer:MABYE THE SAME AS THE EXAMPLE OR ABECFDHGI
Step-by-step explanation:
What is ""statistical conclusion validity""? what was the main threat to statistical conclusion validity discussed in class?
Answers
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.
Learn more about statistic here
https://brainly.com/question/14128303
#SPJ4
Which graphs are proportional?
Answers
Answer:
Its C because it passes through the origin. I learned about this.
Explanation: A proportional graph has a straight line that comes straight out of the origin (0) this is why D. cant be correct. A. Is not a straight line same with D.
a plane flew due north at 500 mph for 3 hours.n a second plane, starting at the same poiint and at the same time, flew southeast at an angle 150 degrees clockwise from due north at 435 mph for 3 hours. at the end of the 3 hours, how far apart were the two planes? round to the nearest mile
Answers
The two planes are 2709.89 ≅ 2710 meters apart at the end of the 3 hours. By using the cosine rule, the required value is calculated.
What are the cosine rules?The cosine rules are:
a² = b² + c² - 2bc CosA
b² = a² + c² - 2ac CosB
c² = a² + b² - 2ab CosC
Calculation:It is given that,
Plane P1 flew due north at 500 mph for 3 hours.
Here S1 = 500 mph; t1 = 3 hours
Then, the distance flown by plane after 3 hours from the starting point O is
distance = speed · time
OP1 = S1 × t1 = 500 × 3 = 1500 m
Plane P2 flew southeast at an angle of 150° clockwise due north at 435 mph for 3 hours.
Here S2 = 435 mph; t2 = 3 hours
Then, the distance flown by plane after 3 hours from the starting point O is
OP2 = S2 × t2 = 435 × 3 = 1305 m
Then, by the cosine rule, we can find the distance between the two planes after 3 hours.
(P1P2)² = (OP1)² + (OP2)² - 2(OP1)(OP2) Cos(O)
= (1500)² + (1305)² - 2(1500)(1305) Cos(150°)
= 7343514.456
⇒ P1P2 = √(7343514.456) = 2709.89 ≈ 2710 m
Therefore, the distance between the two planes after 3 hours is 2710 m.
Learn more about the cosine rules here:
https://brainly.com/question/4372174
#SPJ1
Mandy and Pete have a biased spinner numbered 1, 2, 3, 4, 5. They each want to find an estimate for the probability that the spinner will land on a 5. Mandy spins the spinner 20 times and records the number of times the spinner lands on a 5. Pete spins the spinner 200 times and records the number of times the spinner lands on a 5. Is Mandy or Pete more likely to get the better estimate? You must give a reason for your answer.
Answers
Answer:
Pete
Step-by-step explanation:
Given that:
Mandy's Estimate :
Number of spins , n = 20
Pete's Estimate:
Number of spins, n = 200
A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.
A high sample size give a narrower margin of error and increases the confidence level probability
Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.
what is equivalent to 4 - z - z - z - z
Answers
Answer: 4-4z
Step-by-step explanation: Coming the like terms in order to simplify the equation. There are four z's and they combine as they are like terms. Since we don't know the value of z, thats the most simplified form.
In 2011, the moose population in a park was measured to be 5,800. By 2017, the population was measured again to be 8,000. If the population continues to change exponentially, find an equation for the moose population, P, as a function of t, the years since 2011.What does your model from above predict the moose population to be in 2022?
Answers
This problem asks to:
a) Find a model to predict the population P as a function of t (years since 2011).
b) Predict the population in 2022.
To find this information, follow the steps below.
Step 1: Write a general equation for populational growth.
The population growth can be represented as:
\(P=P_0\cdot e^{r\cdot t}\)Where:
P is the population in time t;
Po is the initial population;
r is the rate of growth;
t is the time.
Step 2: Write the equation that represents the moose population.
Since the problems aks to evaluate the population from 2011. Use the population in 2011 as the initial population.
Then, P0 = 5,800.
\(P=5,800\cdot e^{r\cdot t}\)Now, to find r, use the information for 2017.
In 2017,
P = 8,000
t = 6 (2017 - 2011)
Then,
\(\begin{gathered} 8,000=5,800\cdot e^{r\cdot6} \\ \end{gathered}\)To isolate r, first divide both sides by 5,800:
\(\begin{gathered} \frac{8,000}{5,800}=e^{r\cdot t} \\ \frac{80}{58}=e^{r\cdot t} \\ \end{gathered}\)Take the ln from both sides.
\(\begin{gathered} \ln (\frac{40}{29})=\ln e^{6r} \\ \text{ Using the properties of ln:} \\ \ln (\frac{40}{29})=6r\cdot\ln e \\ \ln (\frac{40}{29})=6r\cdot1 \\ \ln (\frac{40}{29})=6r \end{gathered}\)Divide both sides by 6:
\(\begin{gathered} \frac{6r}{6}=\frac{\ln (\frac{40}{29})}{6} \\ r=\frac{\ln(\frac{40}{29})}{6} \\ or \\ r=\frac{0.3216}{6}=0.0536 \end{gathered}\)So,
(a) The equation that represents the moose population over the years is:
\(P=5,800\cdot e^{0.0536\cdot t}\)Step 3: Predict the population in 2022.
In 2022,
t = 11 (2022 - 2011).
Then,
\(\begin{gathered} P=5,800\cdot e^{0.0536\cdot t} \\ P=5,800\cdot e^{0.0536\cdot11} \\ P=5,800\cdot e^{0.5895} \\ P=5,800\cdot1.8032 \\ P=10,458.6 \\ P=10,459 \end{gathered}\)(b) The moose population in 2022 will be 10,459.
Answer:
(a)
\(P=5,800\cdot e^{0.0536\cdot t}\)(b) 10,459.
A piecewise function is a defined by the equations below.
Write a function which takes in x as an argument and calculates y(x). Return y(x) from the function.
If the argument into the function is a scalar, return the scalar value of y.
If the argument into the function is a vectorr, use a for loop to return a vectorr of corresponding y values.
Answers
The function returns the resulting vector of y values as a NumPy array.
Here is a Python implementation of a piecewise function that takes in a scalar or a vector and returns the corresponding y values:
import numpy as np
def piecewise_function(x):
if isinstance(x, (int, float)): # Check if scalar
if x < -2:
return x**2 - 1
elif -2 <= x < 2:
return np.exp(x)
else:
return np.sin(x)
elif isinstance(x, np.ndarray): # Check if vector
y = []
for elem in x:
if elem < -2:
y.append(elem**2 - 1)
elif -2 <= elem < 2:
y.append(np.exp(elem))
else:
y.append(np.sin(elem))
return np.array(y)
else:
raise ValueError("Invalid input type. Must be a scalar or a vector.")
# Example usage
x_scalar = 3
y_scalar = piecewise_function(x_scalar)
print("Scalar output:", y_scalar)
x_vector = np.array([-3, 0, 3])
y_vector = piecewise_function(x_vector)
print("Vector output:", y_vector)
In this implementation, the function piecewise_function checks the type of the input (x) to determine whether it is a scalar or a vector. If it is a scalar, the function evaluates the corresponding piecewise equation and returns the resulting y value. If it is a vector, a for loop is used to iterate over each element of the vector, applying the piecewise equations and storing the y values in a list. Finally, the function returns the resulting vector of y values as a NumPy array.
Learn more about vector
https://brainly.com/question/28028700
#SPJ11
find the length of side a
Answers
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
a² + 3² = 5²
a² + 9 = 25 ( subtract 9 from both sides )
a² = 16 ( take square root of both sides )
a = \(\sqrt{16}\) = 4 → A
Answer:
a=4
Step-by-step explanation:
In this problem, you would use Pythagorean Theorem which is
a² + b² = c²
a and b are legs and c is the hypotenuse. In this problem, a and 3 are the legs while 5 is the hypotenuse. So...
a=a
b=3
c=5
Now substitute the values into the equation
a²+3²=5²
Exponents
a²+9=25
Subtract 9 on both sides
a²= 16
Square root on both sides
√a²=√16
Simplify
a=4
Hope this helped!
An automaker has introduced a new midsize model and wishes to estimate the mean EPA combined city and highway mileage, u. that would be obtained by all cars of this type. In order to estimate the u, the automaker has conducted EPA mileage tests on a random sample of 35 of its new midsize cars and has obtained the sample of mileages. 71 = 35 x = 24 population = 1.2 Calculate the 70% confidence interval. (round to the second decimal point) Lower bound of 70% confidence interval= Upper bound of 70% confidence interval=
Answers
To estimate the mean EPA combined city and highway mileage, the automaker conducted EPA mileage tests on a random sample of 35 midsize cars. The sample mean is 24, and the population standard deviation is 1.2. The task is to calculate the 70% confidence interval for the population mean.
To calculate the confidence interval, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √(Sample Size))
First, we need to determine the critical value associated with a 70% confidence level. The critical value can be found using a standard normal distribution or a t-distribution, depending on the sample size and whether the population standard deviation is known.
Since the sample size is relatively large (n = 35), we can use the standard normal distribution. The critical value for a 70% confidence level corresponds to a z-score of ±1.036.
Next, we calculate the margin of error:
Margin of Error = (Critical Value) * (Standard Deviation / √(Sample Size)) = 1.036 * (1.2 / √35) ≈ 0.380
Finally, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = Sample Mean - Margin of Error = 24 - 0.380 ≈ 23.62
Upper Bound = Sample Mean + Margin of Error = 24 + 0.380 ≈ 24.38
Therefore, the 70% confidence interval for the mean EPA combined city and highway mileage is approximately 23.62 to 24.38.
Learn more about standard deviation here: brainly.com/question/29808998
#SPJ11
What is the length of the circle’s radius?a. 25b. 23c. 11.5d. 12.5
Answers
Given:
Given a circle with right triangle with
\(\begin{gathered} a=7 \\ b=24 \end{gathered}\)Required:
To find the length of the circle radius.
Explanation:
From the figure
\(\begin{gathered} d^2=7^2+24^2 \\ \\ =49+576 \\ \\ =625 \\ \\ d=\sqrt{625} \\ \\ d=25 \end{gathered}\)Now the length of radius is
\(\begin{gathered} r=\frac{d}{2} \\ \\ r=\frac{25}{2} \\ \\ r=12.5 \end{gathered}\)Final Answer:
The option d is correct.
\(r=12.5\)find f(t) for the function f(s)= 5s³+20s²-49x-108/s²+7s+10. assume that k(t)=δ′(t) .
Answers
The function f(t) is given by (15t² + 40t) / (2t + 7) when k(t) is replaced by the derivative of the Dirac delta function, denoted as δ'(t).
the derivative of f(s) is taken by differentiating each term separately. The derivative of 5s³ is 15s², the derivative of 20s² is 40s, and the derivative of -49x is 0 since x is not involved.
The derivative of -108 is also 0.
Moving on to the denominator
the derivative of s² is 2s, the derivative of 7s is 7
and the derivative of 10 is 0. Therefore, the derivative of f(s) with respect to s is (15s² + 40s) / (2s + 7).
we substitute k(t) with δ'(t), which is the derivative of the Dirac delta function δ(t).
The Dirac delta function is defined as 0 for all values of t except at t = 0, where it is infinite.
Its derivative, δ'(t), is 0 for all values of t except at t = 0, where it is not defined.
Therefore, the resulting expression for f(t) is (15t² + 40t) / (2t + 7). This is the final answer for f(t) in terms of t, obtained by differentiating f(s) and substituting k(t) with δ'(t)
Learn more about derivative here:
https://brainly.com/question/29144258
#SPJ11
How do you find the linear combination of matrices?
Answers
By multiplying matrices by scalars and combining the results, linear combinations can be created.
What are matrices ?
The word "matrix" can be used to refer to a rectangular array or table with numbers or other components arranged in rows and columns. Any number of columns and rows are allowed. Matrix operations include addition, multiplication, transposition, scalar multiplication, and many others.
In mathematics, a linear combination is any expression of the form axe + by, where a and b are constants, that is created from a set of terms by multiplying each term by a constant and adding the results. For example, a linear combination of x and y would be any expression of this kind.
To learn more about the matrices from the given link
https://brainly.com/question/27929071
#SPJ4
Find the value of a in the equation below.
5 = x - 18
Answers
Answer:
There's no A so I'm going to assume you meant X
X = 23
Step-by-step explanation:
X is equal to 23, because 23 - 18 = 5
or 5 + 18 = 23
ASAP ASAP ASAP
please help me with this
Answers
Answer:
b
Step-by-step explanation:
Graph The Set {X| - 5 < X ≪ 7} On The Number Line. Then, Write The Set Using Interval Notation.
Answers
The set {X | -5 < X < 7} can be represented graphically on the number line as an open interval from -5 to 7. In interval notation, the set can be written as (-5, 7).
To graph the set {X | -5 < X < 7} on the number line, we need to mark the values that satisfy the given condition. The set consists of all real numbers that are greater than -5 and less than 7. We start by plotting a point at -5 and another point at 7 on the number line. Since the condition specifies that the values should be greater than -5 and less than 7, we don't include these points in the set. Instead, we draw open circles at -5 and 7 to indicate that they are excluded from the set. Then, we draw a line segment between -5 and 7, representing all the values that satisfy the condition. This line segment does not include -5 and 7.
In interval notation, we express the set as (-5, 7). The parentheses indicate that -5 and 7 are not included in the set, while the comma separates the two values. This notation represents an open interval, meaning that the values between -5 and 7 (excluding -5 and 7 themselves) are included in the set.
Learn more about set here: https://brainly.com/question/14729679
#SPJ11
Sketch the graph of a relation that’s is a function
Answers
Answer:
See attached
Step-by-step explanation:
Refer to attachment
One relation is a linear function
Second one is a graph of non-functional relation
Answer:
below
Step-by-step explanation:
For the first graph, we can use a linear function as it means "straight" lines so when we use the vertical lines test, it passes it (shown below).
We can use a U shaped line so it when we use the vertical line test, it passes through two points to resemble its not a function (shown below).
Best of Luck!
Solve for x questions in picture
Answers
Answer: x = 22
Step-by-step explanation:
Subtract 34 from both sides.
x + 34 - 34 = 56-34 --> x = 22
solve 0.9x+5.1x-7=2(2.5x-3)how many solutions does the equation have
Answers
We want to solve the following equation for x:
\(0.9x+5.1x+7=2(2.5x-3)\)First, let's expand the parenthesis on the right side of the equation using the distributive property
\(\begin{gathered} 0.9x+5.1x+7=2(2.5x-3) \\ 0.9x+5.1x+7=2\cdot2.5x-2\cdot3 \\ 0.9x+5.1x+7=5x-6 \end{gathered}\)To add the terms with x, we just need to add their coefficients.
\(\begin{gathered} 0.9x+5.1x+7=5x-6 \\ (0.9+5.1)x+7=5x-6 \\ 6x+7=5x-6 \end{gathered}\)Subtracting 5x from both sides of the equation:
\(\begin{gathered} 6x+7-5x=5x-6-5x \\ (6-5)x+7=(5-5)x-6 \\ x+7=0\cdot x-6 \\ x+7=-6 \end{gathered}\)Now, if we subtract 7 from both sides, we have
\(\begin{gathered} x+7-7=-6-7 \\ x=-13 \end{gathered}\)Since this is a first degree polynomial, it has only one solution and this solution is x = - 13.
Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
Answers
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
what is the slope of this?
Answers
Answer:
6/3 2/1
Step-by-step explanation:
subtract y2 and y1 and divide that by x2-x1
URGENT PLEASE HELP!!
What is the equation of the linear function?
A. y = 1/2x + 3 B. y = -1/2x + 6 C. y = 2x + 3 D. y = -1/2x + 3
Answers
Answer:
y = -1/2x + 3
Step-by-step explanation:
(6，0) is on the linear function, 0= -1/2 × 6 + 3
Question 5 (5 points)
What is the volume of the right prism?
35 in.
37 in.
12 in.
40 in.
Answers
The volume of the right prism include the following: 8,640 in³.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height or depth of a rectangular prism.Next, we would determine the area of the triangle at the base of the right prism as follows:
Base area = 1/2 × ( 36 × 12)
Base area = 1/2 × 432
Base area = 216 in².
Now, we can calculate the the volume of this right prism:
Volume = base area × height
Volume = 216 × 40
Volume = 8,640 in³.
Read more on right prism here: https://brainly.com/question/31245490
#SPJ1
FASTTTT HELPPP will mark brainly
“A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. so how many cubic centimeters is it?
Answers
Answer:
216 cubic centimeters
Step-by-step explanation:
The details of the word problem are as follows;
The length of the edges of a cube, s = 6 cm
The volume of the cuboid = The volume of the cube
The length of a side of the cuboid = 4 cm
The length of the other side of the cuboid - 6 cm
The volume of the cube, V = 6 cm × 6 cm × 6 cm = 216 cm³
The volume of the cuboid, \(V_c\) = 4 cm × 6 cm × T
Where 'T' represent the length of the third side
Therefore, 'T' = 216 cm³/(4 cm × 6 cm) = 9 cm
The length of the third side, T = 9 cm
The volume of the cuboid = The volume of the cube = 216 cm³
how many solutions is in x + 5 = 0
Answers
Answer:
1 answer which would be -5+5 which =0
Step-by-step explanation:
Which of the following is a correct expression for the instantaneous rate of change on day 1057 OA M(105+h)-M(105-) 105 c. m M(105+h)-M(105) h 1:40 The instantaneous rate of change of the mass of the sheep whose age is exactly 105 days past May 25 is (Type an integer or a decimal) OB OD. Im had kg per day M(105+h)-M h M(105+h)-M(105) 105
Answers
The correct expression for the instantaneous rate of change on day 1057 is:
(M(105+h) - M(105)) / h
The instantaneous rate of change is a concept in calculus that measures how a function changes at an exact moment or point. It is also referred to as the derivative of a function at a specific point.
To understand the instantaneous rate of change, consider a function that represents the relationship between two variables, such as time and distance. The average rate of change measures how the function changes over an interval, like the average speed over a given time period.
However, the instantaneous rate of change goes further by determining how the function is changing precisely at a specific point. It gives us the exact rate of change at that moment, taking into account infinitesimally small intervals.
Learn more about instantaneous rate of change
https://brainly.com/question/30760748
#SPJ11
The figure shows triangle PQR and line segment AB, which is parallel to QR:
Is triangle PQR similar to triangle PAB? Explain using what you know about triangle similarity. (5 points)
Answers
Answer:
Yes, they are. Both triangles are right.
Step-by-step explanation:
Look at the shape of both of the triangles (marked by the lines of the arrows.) If you know your types of triangles, you can see that both of them are right.
Answer:
Yes, they are. Both triangles are right.
Step-by-step explanation:
Look at the shape of both of the triangles (marked by the lines of the arrows.) If you know your types of triangles, you can see that both of them are right.