Answer:
2
Step-by-step explanation:
[tex]\frac{-8}{-4} = \frac{8}{4}[/tex] [tex]\frac{8}{4}[/tex] = 8 ÷ 4 = 2I hope this helps!
Answer:
you answer is 2...
hope it helps
A large aquarium of water is being filled with a hose. Due to a problem, the sensor does not start working until some time into the filling process. The sensor starts its recording at the time zero minutes. The sensor initially detects the tank has 225 liters of water in it.
The hose fills the aquarium at a constant rate of 15 liters per minute. What will the sensor read at the time of 5 minutes?
Answer:
300
Step-by-step explanation:
225 is what you start with. 15 liter per min means in 5 min it will be 75 because 5x15=75, then 75+225=300
2. How can you tell if a number is even or odd?
A. Look at the ones place.
B. Look at the tens place.
C. Look at the hundreds place.
D. Add o to the number.
Answer:
A.
bc if you have the answer 16 you look at 6 and see that 6 is a even number so the whole thing's even lol
Answer:
I think the answer is A
Step-by-step explanation
A sample of n=100 has a mean of 35.8. Is this evidence to refute a claim that the mean is 40 with a standard deviation of 15?
Based on the evidence from the given sample, we have sufficient evidence to refute the claim that the mean is 40 with a standard deviation of 15.
To determine whether the evidence refutes the claim that the mean is 40 with a standard deviation of 15, we can perform a hypothesis test using the given sample mean and the claimed mean.
Let's set up the null and alternative hypotheses:
Null hypothesis (H0): The mean is equal to 40 (µ = 40).
Alternative hypothesis (HA): The mean is not equal to 40 (µ ≠ 40).
We can use a t-test to compare the sample mean to the claimed mean. Given that we have a sample size of 100, we can assume the sample mean follows an approximately normal distribution due to the Central Limit Theorem.
The test statistic for this scenario is the t-score, which measures the difference between the sample mean and the claimed mean in terms of standard errors.
The formula for the t-score is:
t = (sample mean - claimed mean) / (sample standard deviation / sqrt(sample size))
Using the given information, we can calculate the t-score:
t = (35.8 - 40) / (15 / sqrt(100))
t = -4.2 / (15 / 10)
t = -4.2 / 1.5
t = -2.8
Next, we need to compare the t-score with the critical value at a given significance level (e.g., α = 0.05) and the degrees of freedom (df = n - 1 = 100 - 1 = 99).
Using a t-table or statistical software, we can find the critical values for a two-tailed test with a significance level of 0.05 and 99 degrees of freedom. The critical t-values are approximately -1.984 and 1.984.
Since the calculated t-score (-2.8) is outside the range of the critical values (-1.984 to 1.984), we reject the null hypothesis.
Therefore, based on the evidence from the given sample, we have sufficient evidence to refute the claim that the mean is 40 with a standard deviation of 15.
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Which of the following pair of triangles demonstrates that two triangles with three congruent angles are not necessarily congruent?
Answer:
it is A.
Step-by-step explanation:
this should be A.
if it isn't sorry
Answer:
A.
Step-by-step explanation:
What is the scale of a map if 1 cm on a map represents 20 km in real life.
Answer:
1:20
Step-by-step explanation:
well a scale is comparing one thing to another so if 1cm on a map is equal to 20 km then the scale is cm to km
1 cm to 20 km
1:20
Answer:
0.00001:20
Step-by-step explanation:
First of all, we have to realize that we are converting the scale in real life. That means, in kilometers.
So, we know that there are 100,000 cm in 1 kilometer, therefore we can know that 1 cm will equal to 0.00001 kilometers. (I divided by 1 by 100,000. Move the decimal point from 1. by six places.)
There you have the answer: 0.00001:20
Isla's hair grows an average of
1.25
centimeters each month. If Isla's
hair
has grown 10 inches since her
last haircut, how many months has it
been since she cut her hair?
Answer:
8 months
Step-by-step explanation:
Equation: 1.25x = 10
Divide both sides by 1.25
x = 8
Which is greater than 4? (a) 5, (b) -5,
Answer:
5
Step-by-step explanation:
Just by counting, 1 2 3 4 5. five is near the end, there for it is greater
Is this number is scientific notation? Yes or No 3.2345 + 10^12th
given f(x)=3/2x+5 what is f(12)
Answer:
5 and 1/8
Step-by-step explanation:
The value of the given function f(x) = (3/2)x + 5 for the value of x = 12 is given by f(12) = 23.
To find the value of f(12) for the given function f(x) = (3/2)x + 5,
simply need to substitute x with 12 in the function expression and evaluate it.
f(x) = (3/2)x + 5
⇒ f(12) = (3/2) × 12 + 5
Now, perform the calculations step by step:
⇒ f(12) = (3/2) × 12 + 5
Divide 12 by 2 and multiply it to 3 we get,
⇒ f(12) = 18 + 5
Add 18 and 5 we get,
⇒ f(12) = 23
Therefore, the value of the function at x = 12 that is f(12) is equal to 23.
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I NEED HELP ASAP!!!!
Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ:
(a + b)^2, (a - b)^2, and (a - b)(a + b).
(I need an explanation, not just the answer, please.)
Answer:
Step-by-step explanation:
The distributive property states that for any three real numbers a, b, and c, we have:
a(b + c) = ab + ac
This property is very useful when multiplying polynomials, because it allows us to distribute each term in one polynomial to every term in the other polynomial.
For example, to square the binomial (a + b), we can use the distributive property twice:
(a + b)^2 = (a + b)(a + b)
= a(a + b) + b(a + b)
= a^2 + ab + ab + b^2
= a^2 + 2ab + b^2
We can see that the distributive property allows us to multiply each term in the first polynomial by each term in the second polynomial. We then group like terms and simplify to get the final product.
Similarly, to square the binomial (a - b), we can use the same process:
(a - b)^2 = (a - b)(a - b)
= a(a - b) - b(a - b)
= a^2 - ab - ab + b^2
= a^2 - 2ab + b^2
Again, we see that the distributive property enables us to distribute the terms in one polynomial to the other polynomial. We then group like terms and simplify to get the final product.
To find the product of (a - b)(a + b), we can use the distributive property again:
(a - b)(a + b) = a(a + b) - b(a + b)
= a^2 + ab - ab - b^2
= a^2 - b^2
This time, we see that the product is a difference of squares, which means that it can be factored further. In general, the product of two binomials that are conjugates of each other (i.e. have the same terms, but with one sign changed) will be a difference of squares.
Q
(x + 40)
(3x – 20)
R
S
Find m
Answer:
30
Step-by-step explanation:
1. x + 40 = 3x - 20
2. 40 = 2x - 20
3. 60 = 2x
4. 30 = x
What is 3.26*10^7 written in standard form?
Answer:
32600000
Step-by-step explanation:
= 3.26 × 107
(scientific notation)
= 3.26e7
(scientific e notation)
= 32.6 × 106
(engineering notation)
(million; prefix mega- (M))
= 32600000
(real number)
Find the solution for this inequality
-3x + 5 < 5
Answer:
2
Step-by-step explanation:
-3x+5 = 2<5
two less than 5
Find the exact coordinates of the point at which the following curve is steepest: y = 50/1+ 6e^-2t for greaterthanorequalto 0
Since the exponential function is always positive, there is no solution for e^(-2t) = -1/6. This means that the derivative is never equal to zero, and there is no point of maximum steepness for this curve.
To find the point at which the curve is steepest, we need to find the maximum value of the derivative of the function. Let's start by finding the derivative of the given function:
y = 50 / (1 + 6e^(-2t))
To find the derivative, we can use the quotient rule:
y' = [50(0) - (1 + 6e^(-2t))(-12e^(-2t))]/(1 + 6e^(-2t))^2
Simplifying this expression, we get:
y' = (72e^(-2t))/(1 + 6e^(-2t))^2
To find the maximum point, we need to find the value of t for which the derivative is equal to 0. Setting y' = 0 and solving for t, we have:
(72e^(-2t))/(1 + 6e^(-2t))^2 = 0
Since the numerator cannot be zero, we focus on the denominator:
(1 + 6e^(-2t))^2 = 0
Taking the square root of both sides, we get:
1 + 6e^(-2t) = 0
Solving for e^(-2t), we have:
e^(-2t) = -1/6
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simplify the expression:
3 (-2k+ 1) =
Answer:
-6k+3
Step-by-step explanation:
3(-2k+1)=?
3(-2k)= -6k
3(1)= 3
3(-2k+1)= -6k+3
Which expression simplifies to 2/15 ??
A /17
B /19
C /30
D /60
The expression that simplifies to 2/15 is 4/30.
Option C is the correct answer.
We have,
To find the expression that simplifies to 2/15, we need to simplify each option and see which one equals 2/15.
Let's simplify each option:
A) 4/17: This expression cannot be simplified further. It does not equal 2/15.
B) 6/19: This expression cannot be simplified further. It does not equal 2/15.
C) 4/30: We can simplify this expression by dividing both the numerator and denominator by their greatest common divisor, which is 2. Simplifying gives us 2/15, so option C equals 2/15.
D) 12/60: We can also simplify this expression by dividing both the numerator and denominator by their greatest common divisor, which is 12. Simplifying gives us 1/5, not 2/15.
Therefore,
The expression that simplifies to 2/15 is 4/30.
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The complete question:
Which expression simplifies to 2/15 ??
A 4/17
B 6/19
C 4/30
D 12/60
Pre-Calc Question: Given sinx-2sinxcosx=0, how do you solve for x through factoring?
2sin(x)cos(x) = sin(x)
2sin(x)cos(x) - sin(x) = 0
sin(x)(2cos(x) - 1) = 0
sin(x) = 0
x = 0, pi, 2pi
2cos(x) - 1 = 0
cos(x) = 1/2
x = pi/3, 5π/pi
x = 0, pi/3, pi, 5 pi/3, 2 pi
hope it helps
A Simple Maximization Problem
Consider the following linear programming problem
a. List all the extreme points of the feasible region. b. Find the optimal solution and the objective function value.
c. List the values of all the slack variables.
a. (0,0),(5,0),(3.75,3.75),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0
a. (0,0),(5,0),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0.
a. (0,0),(5,0),(3.75,3.75),(6,4),(0,8); b. x=6,y=4,OFV=76;c1.s1=5,s2=0,s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8); b. x=8,y=0,OFV=64;c.s1=45,s2=20,s3=0.
a. (0,0),(5,0),(3.75,3.75),(4,6),(0,8); b. x=4,y=6, OFV =74;c1.s1=0,s2=0, s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8),(0,10); b. x=0,y=10,OFV=70;c.s1=25,s2=0,s3=2
a. (0,0),(3,0),(3.75,3.75),(3,5),(0,4); b. x=3,y=5, OFV =59;c1.s1=5,s2=0,s3=0
a. (0,0),(5,0),(3.75, 3.75),(3.5),(0,8); b. x=3, y=5, OFV=59; c1.s1=5, s2=0, s3=0
a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);
b. x = 3.5, y = 4.5, OFV = 59.5;
c. s1 = 0, s2 = 2, s3 = 0.
a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).
b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.
c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).
Therefore, the correct option is:
a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);
b. x = 3.5, y = 4.5, OFV = 59.5;
c. s1 = 0, s2 = 2, s3 = 0.
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Question 11
Which expression is equivalent to 8 - 15?
A-8 + 15
B. -15 - 8
C. 15 - (-8)
D. 8 + ( - 15)
(7th grade math)
Answer:
I believe the answer is D.
Answer:
Step-by-step explanation:
15-8=7
can someone help me with these two please
Answer:
1.) a= -49
2.) t= 3
Step-by-step explanation:
What is an equation in point-slope form of the line that passes through (–3, –1) and has a slope of 2? A. y − 1 = 2(x − 3) B. y + 1 = 2(x + 3) C. y – 1 = 2(x + 3) D. y + 1 = 2(x – 3)
Answer:
B
Step-by-step explanation:
point-slope form is y-y1=m(x-x1)
x1=-3
y1=-1
m=2
Now plug it in!
y-(-1)=2(x-(-3))
Simplify it to
y+1=2(x+3)
Therefore, it should be B
Hope this helps!
A system has input x and output y. The output y and the input is related by dºg(t) +3dy(t) + 4y(t) = 2 do(t) + 3x(t) dt2 dt dt is this system a linear system? Why?
The system is not linear because it doesn't satisfy the superposition and homogeneity conditions. Linear systems are those that satisfy the following two conditions: Superposition and Homogeneity.
Homogeneity:
If the input of the system is multiplied by a constant, then the output of the system is multiplied by the same constant.
Suppose a system S, which takes an input x(t) and produces an output y(t).
If a is any constant, then
S[a * x(t)] = a * S[x(t)]
Superposition: The output of the sum of the inputs is equal to the sum of the outputs of each input separately.
If two inputs are given, say x1(t) and x2(t), and their respective outputs are y1(t) and y2(t), then the output of the system to the sum of the inputs is the sum of the outputs of each input separately.
That is, for any two inputs x1(t) and x2(t) that generate the corresponding outputs y1(t) and y2(t), respectively, we have that:
S[x1(t) + x2(t)] = S[x1(t)] + S[x2(t)]
Therefore, to know if the system is linear or not, it's important to verify if it satisfies these two conditions.
Let's verify if the given system satisfies them:
Homogeneity: Suppose that x(t) is the input to the system, then we need to verify whether the system satisfies the homogeneity condition.
Let a be any constant, then
S[ax(t)] = dºg(t) + 3ad(x(t)) + 4ay(t)
= a(2d(o)(t) + 3x(t))dt2 dt dtS[ax(t)]
= aS[x(t)]
Therefore, the system is homogeneous of degree 1.
Superposition:
Let x1(t) and x2(t) be two inputs, and let y1(t) and y2(t) be the corresponding outputs.
We need to verify whether the system satisfies the superposition condition. Then
S[x1(t) + x2(t)] = dºg(t) + 3d(x1(t) + x2(t)) + 4y1(t) + y2(t)
= dºg(t) + 3d(x1(t)) + 4y1(t) + dºg(t) + 3d(x2(t)) + 4y2(t)
= S[x1(t)] + S[x2(t)]
As the system does not satisfy the superposition condition, then it's not a linear system.
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Determine the principal square roots.
V25 =
V
16
Answer:
Step-by-step explanation:
Please either type "sqrt" or "√"; "V" does not represent "square root"
√25 = ±5 and the "principal square root" is +5
Similarly, the "principal square root of 16" is +4
what is the imaginary number
Answer:
i
Step-by-step explanation:
you have nothing for us to solve so if you need the definition of it just let me know, but it is represented by the letter "i"
Systematic Sampling Technique is used to select 5 numbers between 1 and 200. The first selected number is 12. What should be next four numbers? Follow steps described in this week Lectures section portion: Sampling Technique.. Group of answer choices
Answer:
24, 36, 48, and 60
Step-by-step explanation:
The data chosen when using a Systemic Sampling Technique has a specific set interval which keeps on repeating itself until all the data has been chosen. Therefore since the first number that was selected from the population was 12, we can assume that the selected numbers will be every 12 digits. Therefore based on this information, we can calculate that the next four numbers that are chosen would be the 24, 36, 48, and 60
Need help with this questions please.
Answer: x=8
Step-by-step explanation:
15*8 = 120 + 20 = 140
140+40 = 180 a perfect line
Answer:
Below
Step-by-step explanation:
Angle on a straight line =180
[tex]40\° + (15x +20)\°=180\°\\\\40 \°+(15(8)+20)\° =180\°\\\\40\°+(120+20)\°=180\°\\\\40\°+140\°=180\°\\\\180\°=180\°[/tex]
an elevator rises to the ninth floor. write an absolute value to represent the change in floor levels
Answer:
9 or +9
Step-by-step explanation:
The main level would be 0. Any level below that would be -1, -2 etc.
Is the given relation a function?
Answer:
D
Step-by-step explanation:
You can see that 4 repeats as an input, giving it two outputs (7 and 14). This means this is not a function.
helppp meeeeee !!!!!!!
Answer: It is A hope this helps :)
Step-by-step explanation:
write the EXPRESSION for these descriptions.
a) divide x by 5 ____
b) multiply x and 4 ____
c) divide x by 3 and then add 2 ___
