Answer:
m = -6
Step-by-step explanation:
-13=m-7
+7 +7
-6=m
Answer:
m=-6
Step-by-step explanation:
What you do is add 7 to both sides of the equation canceling the 7 out leaving you with -13+7 which is equal to -6 so, M=-6
a movie theater makes a profit of $15 on adult tickets and $7.50 for children's tickets
Answer:
Step-by-step explanation:
How many ounces of milk would you need for 5 ounces of flour?
Answer:
5 ounces of milk
Step-by-step explanation:
Connor is a 400m runner His median time is
Answer: 57.8
Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8
3, 3/4, 3/16 find the 6th term
The sixth term is \(\frac{3}{1024}\) .
Given series : 3, \(\frac{3}{4}\) , \(\frac{3}{16}\) and so on.
We need to find the sixth term, so n = 6.
The given series is in Geometric Progression.
To find the \(n^{th}\) term of a Geometric Progression,
\(a_{n}\) = a\(r^{n-1}\)
a is the first term of any series. Here, a = 3
r is common ratio. Here, r = \(\frac{1}{4}\)
According to the question,
\(a_{6}\) = 3\((\frac{1}{4} )^{6-1}\)
⇒ \(a_{6}\) = 3 × \((\frac{1}{4} )^{5}\)
⇒ \(a_{6}\) = 3 × \(\frac{1}{1024}\)
⇒ \(a_{6}\) = \(\frac{3}{1024}\)
So, the sixth term is \(\frac{3}{1024}\).
William is thinking of 2 numbers. The larger number is four less than two times the smaller
number. The sum of the numbers is 104. What are William's numbers? Please write your
answer in a sentence.
Answer:
The numbers are 36 and 68.
Step-by-step explanation:
Let the smaller number be x.
"The larger number is four less than two times the smaller
number."
The larger number is
2x - 4
The sum of the numbers is x + 2x - 4, or 3x - 4.
"The sum of the numbers is 104."
3x - 4 = 104
3x = 108
x = 36
The smaller number is 36.
The larger number is 2x - 4, or
2x - 4 = 2(36) - 4 = 72 - 4 = 68
The larger number is 68.
Answer: The numbers are 36 and 68.
Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-
Answer:
1) AD = 9 in
2) DE = 9.25 in
3) ∠EDC = 36°
4) ∠AEB = 108°
5) 11.5 in
Step-by-step explanation:
1) AD = BC = 9in
2) AC = BD (diagonals are equal)
⇒ BD = 14.25
⇒ BE + DE = 14.25
⇒ 5 + DE = 14.25
DE = 9.25
3) Since AB ║CD,
∠ABE = ∠EDC = 36°
4) ∠ABE = ∠BAE = 36°
Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)
⇒ 36 + 36 + ∠AEB = 180
∠AEB = 108
5) midsegment = (AB + CD)/2
= (8 + 15)/2
11.5
Two siblings Edwin and Rhea are both going skiing but choose different payment plans. Edwin's plan charges $45 for rentals and $5.25 per lift up the mountain. Rhea's plan was a bundle where her entire day cost $108. Set up an inequality that models the number of trips, n, up the mountain for which Edwin will pay more than Rhea. Solve the inequality. Also, what is the greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea? Explain how you arrived at your answer.
Answer:
n>12
Step-by-step explanation
45+5.25n>108
-45 -45
5.25n > 63
then divide both sides by 5.25
n>12
Evaluate 1/3 ( 9 - k ) using the distributive property
Answer:
3-\(\frac{1}{3}\)k
Step-by-step explanation:
when using the distributive property multiply 1/3 into everything inside the parentheses.
So your first step is to multiply 1/3 to 9.
\(\frac{1}{3}\) x \(\frac{9}{1}\) keeping in mind that all numbers are divisible by one.
then you get your answer of \(\frac{9}{3}\) which equals 3.
From there you want to distribute the \(\frac{1}{3}\) into k but you don't know what "k" is so you'll have an answer of \(\frac{1}{3}\)k meaning that k whatever it is. Is being multiplied by the \(\frac{1}{3}\).
What is a straight line from the center to the circumference of a circle
Answer:
From the CENTER, it would be radius of the circle
Step-by-step explanation:
Stretching across the entire circle is diameter, while from the center is radius.
Let f:[a,b]→[1,[infinity]) be a continuous function and let g:R→R be defined as g(x)=⎩⎪⎪⎨⎪⎪⎧0∫axf(t)dt∫abf(t)dtifififxb. Then This question has multiple correct options A g(x) is continuous but not differentiable at a B g(x) is differentiable on R C g(x) is continuous but not differentiable at b D g(x) is continuous and differentiable at either a or b but not both
The correct options for the given question are: A) g(x) is continuous but not differentiable at a, and C) g(x) is continuous but not differentiable at b.
The function g(x) is defined as the ratio of two definite integrals involving the function f(x). The denominator of the ratio is the integral of f(x) over the interval [a, b],
which represents the total area under the curve of f(x) on the interval [a, b]. The numerator of the ratio is the integral of f(x) over the interval [a, x], which represents the area under the curve of f(x) from a to x.
Option A states that g(x) is continuous but not differentiable at a. This is true because at x = a, the numerator of the ratio becomes zero since the interval [a, x] becomes empty.
This results in a division by zero, which makes g(x) discontinuous at a. However, g(x) is still continuous for all other values of x.
Option C states that g(x) is continuous but not differentiable at b. This is also true because at x = b, the denominator of the ratio becomes zero since the interval [a, b] becomes empty.
This again leads to a division by zero, making g(x) discontinuous at b. However, g(x) is still continuous for all other values of x.
Option B, stating that g(x) is differentiable on R, is not correct. Since g(x) is not differentiable at a and b due to division by zero, it is not differentiable on the entire real line.
Option D, stating that g(x) is continuous and differentiable at either a or b but not both, is not correct either. As explained abve, g(x) is continuous but not differentiable at both a and b.
To know more about ratio click here
brainly.com/question/29467965
#SPJ11
a machine is used to fill 1-liter bottles of a type of soft drink. we can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. the firm uses means of samples of 25 observations to monitor the output, answer the following questions: determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control. (3 decimal points are required)
The upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control is 1.008.
For a process with a normal distribution, the mean of the sample means is equal to the population mean and the standard deviation of the sample means is equal to the population standard deviation divided by the square root of the sample size. In this case, the mean of the output is 1.0 liter and the standard deviation is 0.01 liter, so the standard deviation of the sample means is 0.01 / √25 = 0.002.
To construct a control chart for the sample means, we need to determine the upper and lower control limits such that the process is in control when the sample means fall within these limits. Assuming the process is in control, we want to find the upper limit such that roughly 97% of the sample means fall below this limit.
Using the standard normal distribution, the Z-score corresponding to the 97th percentile is approximately 1.88.
Therefore, the upper control limit is 1.0 + 1.88(0.002) = 1.008. Any sample mean above this limit should be investigated for potential process issues.
To know more about sample means, refer here:
https://brainly.com/question/30580598#
#SPJ11
Business
A fitness company is selling DVDs for one of its new cardio routines. Each DVD will sell
for $15. Due to fixed and variable costs, the profit t that the company will see after
selling x DVDs can be represented by the function:
P(X) = 11.5x0.1x² - 150
1
0.2 points
Select the correct function Family: choose your answer.....
The function family based on the information is a linear function.
What is a linear function?A linear function is a type of mathematical function that has the form:
f(x) = ax + b
where a and b are constants, and x is a variable. The variable x is often called the independent variable, and the variable f(x) is called the dependent variable.
The value of a determines the slope of the line, while the value of b determines the intercept of the line with the y-axis. The slope of the line represents the rate of change of the dependent variable with respect to the independent variable, and the intercept represents the value of the dependent variable when the independent variable is zero.
Learn more about functions on:
https://brainly.com/question/2248255
#SPJ1
I don’t know if I did this correctly. Please help !!!!!! Will mark Brianliest !!!!!!!!!!!!! URGENT !!!!!!!!!!!!!!!!!
Answer:
From J to K: right 6 units, down 4 units
From K to J: left 6 units, up 4 units
Is 9/2 a rational number or no ?
Is 4.141141114 a rational number?
Is 1.32 a rational number
Is 0.14273 a rational number
Answer:
All are rational number
What is an expression involving division that is equivalent to the expression below?
2/9 x 3/4
Answer:
2/9 ÷ 4/3
Step-by-step explanation:
Which expression is equivalent to this expression?
3/4(4h – 6)
The equivalent expression is 12h - 18/4
How to determine the equivalent expressionIt is important to note that algebraic expressions are mathematical expression comprising of factors, constants, coefficients, variables and terms.
These algebraic expressions are also known to be made up of mathematical to arithmetic operations, such as;
Floor divisionSubtractionAdditionDivisionBracketParenthesesMultiplicationFrom the information given, we have that;
3/4(4h – 6)
To simply this, we need to expand the bracket, we get;
12h - 18/4
Hence, the expression is 12h - 18/4
Learn about algebraic expressions on:
https://brainly.com/question/4344214
#SPJ1
which of the following statements about the data structures are true? select all correct answers. group of answer choices pandas can store heterogeneous data, meaning different columns in a dataframe can have different data types
The data structures are true: Option (1,3)
Pandas can store heterogeneous data, meaning different columns in a DataFrame can have different data types Numpy arrays can store homogeneous data only. That's one of the reasons why calculations with numpy arrays are so efficient.Data structures are ways of organizing and storing data in a computer so that it can be accessed and manipulated efficiently. There are several types of data structures, including arrays, linked lists, stacks, queues, trees, and graphs. Each structure has its own unique features and advantages, making it suitable for different scenarios.
For example, arrays are used for storing and accessing data in a linear fashion, while trees and graphs are used for representing hierarchical relationships between data. Data structures are a fundamental concept in computer science and are used in many applications, including databases, compilers, and operating systems. Understanding and implementing data structures is essential for efficient programming and software development
Learn more about data structures
https://brainly.com/question/12963740
#SPJ4
Full Question: Which of the following statements about the data structures are true? Select ALL CORRECT answers.
Pandas can store heterogeneous data, meaning different columns in a dataframe can have different data types Numpy arrays can store heterogeneous data. That's one of the reasons why calculations with numpy arrays are so efficient Numpy arrays can store homogeneous data only. That's one of the reasons why calculations with numpy arrays are so efficient. Pandas can store heterogeneous data, meaning different elements in a series can have different data typesneed answer quick!
Simplify.
[3 × (3 + 10)] × 7
Answer:
Hey I think I have the Answer 273
Step-by-step explanation:
[3x(3+10)x7]
First add 3+10
Then multiply 3x13
Then 39x7
Then you get 273 Hope this help mark me BRAINLEST!!!! PLZ
HAVE A NICE DAY!!!
Answer: 273
Step-by-step explanation: 1. PEMDAS P=parenthesis E=exponents M=multiplication D=division A=addition S=subtraction
[3 x (3 + 10)] x 7
1. 3 + 10 = 13
2. 3 x 13 = 39
3. 39 x 7 = 273
PLZ MAKE ME BRIANLIEST
IF THIS IS THE WRONG ANSWER IM VERY SORRY
I DOUBLE CHECKED THOUGH SO ITS NOT :P
An insurance company, based on past experience, estimates the mean damage for a natural disaster in its area is $5,000. After introducing several plans to prevent loss, it randomly samples 200 policyholders and finds the mean amount per claim was $4,800 with a standard deviation of $1,300. Does it appear the prevention plans were effective in reducing the mean amount of a claim? use the 0. 05 significance level. A. What is the decision rule? (negative amount should be indicated by a minus sign. Round your answer to 3 decimal places. )
In this case, the population consists of an insurance company's policyholders. The sample consists of his 200 policyholders under study. The sample size is 200.
H0: µ ≥ $5,000
Ha: µ < $5,000 (claimed)
As we can see that the sample size is 200, which is way greater than 30, so a z-test is appropriate here.
z(test) = (4800 - 5000) / (1300 / √200) = -2.1757
p (z = -2.1757) = 0.0148
The critical z-value for the left-sided test at α = 0.05 is -1.645
The tested value of z is less than the critical value, so we reject the null hypothesis. The hypothesis drawn here ( null hypothesis) will be rejected as an alternate decision because the p-value is less than the significance level (0.05).
At the 0.05 significance level, the prevention plan effectively reduced the average amount of harm. Insurers should continue these plans and try to improve them where possible.
More problems related to Insurance policies are in the link below.
https://brainly.com/question/16890229?referrer=searchResults
#SPJ4
So if 3x+4=12
Then what is the answer for x
Answer:
8/3
Step-by-step explanation:
subtract 4 from both sides.
3x+4−4=12−4
3x=8
Divide both sides by 3.
3x/3 = 8/3
x=8/3
1. 30-70h=30
2. 300+70h=-30
3. 300-70h=-30
4. 300+70h=30
Please help and show work, will give lots of points!
Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3/5 of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.
y = []x + []
(Use above format to write the equation.)
What does the y-intercept of this linear equation represent?
A. Pages already read
B. Pages in book
C. Pages read each day
D. Days to finish
Answer:
The linear equation is y = 450 - 30 x, where y is the number of pages
Lourdes has left to read after x days
Step-by-step explanation:
Each day, Lourdes reads 30 pages of a 450-page book
- We need to write a linear equation to represent the number of pages
Lourdes has left to read after x days
∵ Lourdes reads 30 pages each day
∵ Lourdes will read for x days
∴ The number of pages Lourdes will read in x day = 30 x
- The left pages will be the difference between the total pages of the
book and the pages Lourdes read
∵ The book has 450 pages
∵ Loured will read 30 x in x days
∴ The number of pages left = 450 - 30 x
- Assume that y represents the number of pages Lourdes has left
to read after x days
∴ y = 450 - 30 x
The linear equation is y = 450 - 30 x, where y is the number of
pages Lourdes has left to read after x days
Find x and y. please help
Answer:
\( x = 4 \sqrt{2} \)
\( y = 4 \sqrt{6} \)
Step-by-step explanation:
\( \sin 45 \degree = \frac{x}{8} \\ \\ x = 8 \sin 45 \degree \\ \\ x = 8 \times \frac{1}{ \sqrt{2} } \\ \\ x = \frac{8 \sqrt{2} }{2} \\ \\ x = 4 \sqrt{2} \\ \\ \\ \tan 30 \degree = \frac{x}{y} \\ \\ \frac{1}{ \sqrt{3} } = \frac{4 \sqrt{2} }{y} \\ \\ y = 4 \sqrt{6} \)
Find the dual problem of the following unrestricted LPP: min z = -x + 3y - z s.t. x+2y+z≥ 5, 2x + 4y + 3z = 10, x-y+z≤1 x,y 20,
The dual problem of the given unrestricted linear programming problem is to maximize the objective function w = 5u + 10v + u subject to the dual constraints u + 2v + w ≤ -1, 2u + 4v - w ≥ 3, u + 3v + w ≥ -1, and u, v, w ≥ 0.
The dual problem of a linear programming problem involves interchanging the roles of the variables and constraints from the primal problem.To find the dual problem, we need to introduce dual variables for each constraint in the primal problem. Let's denote the dual variables as u, v, and w for the respective constraints. The dual problem seeks to maximize the objective function subject to the dual constraints.
Minimize: z = -x + 3y - z
Subject to:
x + 2y + z ≥ 5
2x + 4y + 3z = 10
x - y + z ≤ 1
x, y ≥ 0
Maximize: w = 5u + 10v + u
Subject to:
u + 2v + w ≤ -1
2u + 4v - w ≥ 3
u + 3v + w ≥ -1
u, v, w ≥ 0
The objective function in the dual problem corresponds to the inequalities in the primal problem, and the primal constraints become the dual variables in the dual problem. By solving the dual problem, we can obtain the maximum value of the objective function and the corresponding dual variable values.the dual problem of the given unrestricted linear programming problem is to maximize the objective function w = 5u + 10v + u subject to the dual constraints u + 2v + w ≤ -1, 2u + 4v - w ≥ 3, u + 3v + w ≥ -1, and u, v, w ≥ 0.
To learn more about linear programming click here : brainly.com/question/29405467
#SPJ11
HELP ASAP
What is the value of x?
Answer:
47 degrees
Step-by-step explanation:
This is a parallel line, and this sort of angle is known as an alternate angle, which is a z shaped angle (can be a Z either way). Alternate angles are equal, therefore x=47 degrees too. Hope this helps :)
Solve using \( A=A_{0} e^{k t} \) The half-life of a substance is 375 years. If 70 grams is present now, how much will be present in 500 years? (Round the value for \( k \) and your answer to four dec
The amount of substance present after 500 years is approximately 25.5775 grams.
Given that `A = A₀e^(kt).`The half-life is the time taken for the amount of substance to reduce to half of its original amount. From the above information, we get:\(\[\frac{A}{A₀}=\frac{1}{2}=\frac{1}{e^{k×375}}\]\). Simplifying the above equation, we get\(:\[2=e^{k×375}\]\). Taking natural logarithm on both sides, we get:\\([\ln2=\ln(e^{k×375})\] , [k=\frac{\ln2}{375}\]\).Now, we can find the value of `A` after 500 years.\[A=A₀e^{k×500}\].Substituting the values of `A₀`, `k` and `t`, we get:\\([A=70×e^{(\frac{\ln2}{375})×500}\]\). Evaluating this expression, we get:\[A≈25.5776\]. Rounding this value to four decimal places, we get:\[A≈25.5775\].
Let's learn more about half-life:
https://brainly.com/question/1160651
#SPJ11
Ala make 19 cookies in 30 min and Jane make 30 in 45 min so what is total cookies made by both in 1.5 he
Answer: See explanation
Step-by-step explanation:
The last part of your question isn't well written but let me rewrite based on what I think should be there.
Ala make 19 cookies in 30 min and Jane make 30 in 45 min so what is total cookies made by both in 1.5 hour?
Since Ala makes 19 cookies in 30 minutes. The number of cookies made in 1.5 hours will be:
= 19 × 1.5hours/30 minutes
= 19 × 90min/30min
= 19 × 3
= 57 cookies
Jane make 30 in 45 min. The number of cookies made in 1.5 hours will be:
= 30 × 1.5hours/45minutes
= 30 × 90minutes/45minutes
= 30 × 2
= 60 cookies
The total cookies made by both will then be:
= 57 + 60
= 117 cookies
Note that 1.5 hours = 1.5 × 60 minutes = 90 minutes
A Pentagon has 3 sides that are the same length and 2 sides with different lengths. The 3 sides are 8 cm long.The other 2 sides are 11 and 6 cm long. What is the perimeter?
41
Step-by-step explanation:
3(8)+11+6=24+17=41
please solve this equation and show work 4y−70=12y+2
Answer:
Step-by-step explanation:
Simplifying 4y + -70 = 12y + 2
Add -12y to each side of the equation. -70 + 4y + -12y = 2 + 12y + -12y
Add 70 to each side of the equation. -70 + 70 + -8y = 2 + 70
Divide each side by -8.
So y = -9 is your answer.
Hope I Helped!!!
Cole deposits $500 into his savings account. The bank pays him 2% interest on the amount he has in his account. What expression would you
use to find the total Cole has in his account?
Answer:
500*2%=10
500+10=510
Step-by-step explanation: