Answer:
3, m less than 5
Step-by-step explanation:
caroline babysat for two families the nelson and the smiths. use the information below to compare her earings.
nelson a = 6.25h, where a represents the amount she earned and h represents the number of hours she babysat.
smiths : $39 for 6 hours
witch statement is true?
A. Caroline earns $6.25 an hour babysitting for the smiths.
B. Caroline earns $6.50 an hour babysitting for the nelsons.
C. Caroline earns more money per hour from the smiths.
D. Caroline earns more money per hour from the nelsons.
Let Pij = the production of product i in period j. To specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units, we need to add which pair of constraints?
P52-P42 <= 80; P42-P52 <= 80
None of the other above.
P24 - P25 <= 80; P25-P24 >= 80
O P24 - P25 >= 80; P25-P24 >= 80
P24 - P25 <= 80; P25-P24 <= 80
The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.
Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.
Therefore, we can write the following inequalities:
P24 - P25 <= 80
This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.
P25-P24 <= 80
This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.
Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.
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please answer the math question, I will give brainlie'st to the first to answer correctly and has a very easy to understand layout for the answer. Please explain how you figured it out.
15 + 4(10 - 2 · 5) + 7 =
7
22
182
767
Answer: 52
15 + 4 (10 - 2 × 5) + 7
15 + 4×(10 - 10) + 7
15 + 0 + 7
= 22
...sorry i thought it was a decimal between 2 and 5
Answer:
22
Step-by-step explanation:
15+4(10-2×5)+7
15+4(10-10)+7
15+4×0+7
15+0+7
15+7
22
Please help me im confused with this
Answer:
A
Step-by-step explanation:
Because it seems like that would be the right answer
And sorry if im wrong
A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:
y=-0.0625x+1.25x +5.75 where x and y are measured in feet.
a) Will the truck fit under the arch? Explain (with numerical details).
BIRD
b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch?
Answer:
Yes
8 ft
Step-by-step explanation:
The equation of the arch is
\(y=-0.0625x^2+1.25x+5.75\)
Differentiating with respect to \(x\) we get
\(\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25\)
Equating with zero
\(0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10\)
Double derivative of the equation
\(\dfrac{d^2y}{dx^2}=-0.125<0\)
So, the function is maximum at \(x=10\)
\(y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12\)
The function is maximum at \((10,12)\)
So, the truck's center should be below the point \((10,12)\) for maximum width to pass through.
Now truck is 11 feet tall so \(y=11\)
\(11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14\)
The maximum width of the truck can be \(14-6=8\ \text{ft}\) if it is 11 feet tall.
So, the truck which has a width of 7 feet can fit under the arch.
(60 Points)
Here is a picture of a circle. Each square represents 1 square unit.
Explain why the area of the circle is less than 4 square units.
Answer:
because the four units aren't all the way inside the circle.
Step-by-step explanation:
Answer: There isn't any full circles. in order to have a square you need 4 corners .they all only have 1 inside that circle.
Step-by-step explanation:
Thomas elementary has 150 students who participate in sports. If 20% of these students play baseball, how many students play baseball?
Answer:
30 kids
Step-by-step explanation:
Select all ratios equivalent to 6:5.
60:50
8:2
Answer:
60:50
Step-by-step explanation:
6 ⋅ 10 = 60, 5 ⋅ 10 = 50; 60:50
Find the solution to I.V.P., and write your solution in the form of y(x): (we assume the domain is x≥0) (1+x)dy/dx =y+4x(1+x)², y(0) = 3 You need to provide all the detailed derivation. Correct answer without supporting details will receive little to no credits.
The solution to the initial value problem (I.V.P.) (1+x)dy/dx = y + 4x(1+x)², y(0) = 3 is y(x) = (x³ + 2x² + 6x + 3) / (1 + x).
To solve this I.V.P., we'll use the method of integrating factors. First, let's rewrite the equation in the standard form: dy/dx - y/(1+x) = 4x(1+x)²/(1+x). Notice that (1+x) is a factor of both the coefficient of dy/dx and the right-hand side.
To find the integrating factor, we multiply both sides of the equation by the integrating factor, which is given by e^(∫-1/(1+x)dx). Integrating -1/(1+x) with respect to x gives us -ln(1+x). Therefore, the integrating factor is e^(-ln(1+x)) = 1/(1+x).
Multiplying the original equation by the integrating factor, we get (1+x)dy/dx - y = 4x(1+x)³/(1+x) = 4x(1+x)².
Now, we can rewrite the left side of the equation as d[(1+x)y]/dx and simplify the right side to 4x(1+x)². Integrating both sides with respect to x, we obtain (1+x)y = ∫4x(1+x)² dx.
Evaluating the integral on the right side, we have (1+x)y = x²(1+x)³ + C, where C is the constant of integration. Solving for y, we get y(x) = (x³ + 2x² + 6x + 3) / (1 + x), which is the solution to the I.V.P.
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The graph shows the cost of renting skates. Sadie rents a pair of skates at 10 A.M. How much will she pay if she returns the skates by 1 P.M.?
How much will she pay if she returns them at 1:15 P.M.?
Answer:
$8 1:00pm
$10 1:15 pm
Step-by-step explanation:
the time between 10 am and 1 pm is 3 hours.
on the graph, it shows that at 3 hours you will have to pay 8 dollars.
If the time is a second over 3 hours, which it is for 1:15, you will have to pay the extra $2, which makes it a total of $10.
Lip balm is sold in hemispherical plastic containers. Given that the volume of lip balm in each container is 30 cm2, find \
(I) the radius of the container
(II) the surface area of the container that is in contact with the lip balm.
The Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.
What is the Volume of a Hemisphere?A hemisphere is half of a sphere. Thus, the volume of a hemisphere is given as: V = = (2/3)πr³, where r is the radius of the hemisphere.
What is the Surface Area of a Hemisphere?Surface area of a hemisphere is given as, SA = 2πr²
Given the following:
Volume of hemisphere = 30 cm³
i. Radius (r) of the container = radius of the hemisphere
2πr² = 30
r² = 30/2π
r² = 4.8
r ≈ 2.2 cm
ii. Surface area of the container that is in contact with the lip balm = surface area of hemisphere = 2πr²
Surface area = 2(3.14)(2.2²)
Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.
In summary:
i. The radius of the container is 2.2 cm
ii. The surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.
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Consider the inverse function
f^-1(x) = - sqrt (x-2)
Which conclusions can be drawn about f(x) = x^2 + 2? Select three options.
A.) f(x) has a limited range
B.) f(x) has a restricted domain
C.) f(x) has an x-intercept of (2,0)
D.) f(x) has a maximum at the point (0,2)
E.) f(x) has a y-intercept at the point (0,2)
A, B, E are the right answers!
Answer:
A, B, E
Step-by-step explanation:
The recursive formula for a geometric sequence is:
[a₁ = 6
an = an-₁ • (2)
What is the 3rd term of this sequence?
O A. 8
OB. 24
OC. 10
OD. 12
The 3rd (third term )of the sequence with a₁ = 6 and aₙ = aₙ₋₁ • 2 using Geometric Sequence is 24.
Understanding Geometric SequenceTo find the third term of the geometric sequence with a recursive formula, we can use the given formula which is a GP formula:
a₁ = 6
aₙ = aₙ₋₁ • 2
Given
First term (a₁) = 6
Therefore
Second term (a₂) = a₁ • 2
= 6 • 2 = 12
Third term (a₃) = a₂ • 2
= 12 • 2 = 24
Therefore, the third term of the sequence is 24.
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me the investment company institute sampled 300 american families to estimate that the percent owning stocks or stock funds is 46% this year. what is the p value for your hypothesis test? if required, round your answer to four decimal places. do not round your intermediate calculations.
The p value for your hypothesis test is 0.0832.
To calculate the p-value for a hypothesis test, we need to know the null hypothesis, the alternative hypothesis, the test statistic, and the level of significance (alpha). Let's assume that the null hypothesis is that the percentage of American families owning stocks or stock funds is equal to 50%, and the alternative hypothesis is that it is not equal to 50%.
The test statistic for a hypothesis test of a proportion is given by:
z = \(\frac{p-P}{\sqrt{\frac{P(1-P)}{n} } }\)
where p is the sample proportion (0.46), P is the hypothesized population proportion under the null hypothesis (0.5), n is the sample size (300), and sqrt denotes the square root function.
Plugging in the values, we get:
z = \(\frac{0.46-0.5}{\sqrt{\frac{0.5*0.5}{300} } }\) = -1.732
To find the p-value, we need to find the area under the standard normal curve to the left and right of the test statistic (since this is a two-tailed test). Using a standard normal table or calculator, we find that the area to the left of -1.732 is 0.0416, and the area to the right is also 0.0416 (since the standard normal curve is symmetric).
Therefore, the p-value for this hypothesis test is the sum of the areas in both tails:
p-value = 0.0416 + 0.0416 = 0.0832
Rounding to four decimal places, the p-value is 0.0832.
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2 parallelograms. The pre-image is smaller than the image.
How can you tell that this transformation is a dilation?
The figure flipped upside down.
The figure changed size.
The figure completed a half turn.
The figure did not change.
Answer: The figure changed size.
Step-by-step explanation: Dilations change the sizes of shapes. They can either make them bigger or make them smaller.
Pleaaaaase help!!!!
Answer:
see below
Step-by-step explanation:
sqrt(20)
sqrt(4*5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(4) sqrt(5)
2 sqrt(5)
Answer:
We can factor down 20 with it's greatest prime GCF, which is 5. We get a 4. When we factor that down the same way, we get 2. If we repeat that process, we get 5, 2, and 2, which turns into \(2\sqrt{5}\).
The number of calories burned y
after x
minutes of kayaking is represented by the linear function y=4.5x
How many more calories are burned by doing the activity in part (a) than the other activity for 45 minutes?
The number of calories burned y after x minutes of kayaking is
How to find the number of calories burned y?You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight
For kayaking Linear function is y=4.5x
In 45 minute means x=45
so, y=4.5x
45*45
= 20.25
That means in kayaking will burnt 20.25 calories in 45
minutes
Therefore, hiking burns more calories.
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Draw the image of ABC under a dilation whose center is P and scale factor is 1/3
Answer:
there
Step-by-step explanation:
Answer:
khan
Step-by-step explanation:
consider the following premises and determine the conclusion: if our actions are free, then we must be able to act differently from the way we do act. our beliefs and desires cause our behaviors. if our beliefs and desires cause our behaviors, then we cannot act differently from the ways we do act. if our actions are free, then we can act differently from the ways we do act. question 5 options: a) our actions are not free. b) our behaviors are caused by our beliefs and desires. c) our actions are free. d) our behaviors are different in different situations. e) our actions are completely determined.
The conclusion that can be drawn from the given premises is A) Our actions are not free.
The first premise states that if our actions are free, then we must be able to act differently from the way we do act. The third premise states that if our actions are free, then we can act differently from the ways we do act. However, the second premise states that our beliefs and desires cause our behaviors and if our beliefs and desires cause our behaviors, then we cannot act differently from the ways we do act. These premises lead to the conclusion that our actions are not free, as our behaviors are determined by our beliefs and desires and we cannot act differently from the ways we do act. Therefore, option A is the correct conclusion that can be drawn from the given premises.
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melinda is reading a story that has several characters. The character chloe is described in great detail and has several unique traits. What kind of character is chloe?
A. Flat
B. Round
C. Static
D. Heroic
Answer:
round
Step-by-step explanation:
hope I helped
Answer:
its B
Step-by-step explanation:
I converting frm base ten to base 2 what do u do?
Answer:
See explanation for example.
Step-by-step explanation:
Say we want to convert 567 to binary aka base 2.
Look for highest power of 2 that will go into 567.
2^x will get us close to 567.
You could solve 2^x=567 in take the whole part of the number.
x=log_2 (567)=approximately 9.1
Of course you don't have to use logarithms here. You could have just found 2^0,2^1,...,2^9. You could have kept increasing the power on 2 until you exceeded the number,567, you wanted and use the power of 2 just before that number, 567.
2^9=512
So what's left 567-512=55
2^6=64 so that's too much, so 2^5=32 is what we will go with next.
55-32=23
2^4=16 and now 23-16=7 is left
2^2=4 so 7-4=3 is left
2^1=2 so 3-2=1 is left
2^0=1 and there is nothing left over
So we had 1, 2^9
No 2^8,2^7,2^6
We had 1, 2^5
We had 1, 2^4
We had no 2^3
We had 1, 2^2
We had 1, 2^1
We had 1, 2^0
The binary aka base 2 representation of 567 is 1000110111.
This graph represents the design of a child’s slide what is the slope of the slide
Answer:
I think it is 1/2 because it goes up 1 over 2
According to the graph what is the value of the constant in the equation below? A.03125 B. 3.2 C. 2.2 D.6.6
The value of the constant is 3.2, so the correct option is B.
How to get the value of the constant?
We have a proportional relation of the form:
y = k*x
We want to find the value of k, the constant.
To do that, we can use any of the points shown in the graph.
For example, we can use the first point(0.5, 1.6)
That means that when x = 0.5, we have y = 1.6, replacing that we get:
1.6 = k*0.5
Solving for k:
k = 1.6/0.5 = 3.2
The value of the constant is 3.2, so the correct option is B.
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Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
7. 3% $1,150 $800 $1,100
1. 8% $1,825 $2,500 $525
−6. 7% $1,405 $250 $825
10. 4% $1,045 $1,200 $400
2. 7% $1,450 $1,880 $2,225
Using technology, calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
The performance of the portfolios from best to worst, based on their weighted mean RORs, is Portfolio 2, Portfolio 3, and Portfolio 1.
To calculate the weighted mean of RORs for each portfolio, we need to multiply each rate of return by its corresponding portfolio value, sum these products, and divide by the total portfolio value.
For Portfolio 1: (7.3% x $1,150) + (1.8% x $1,825) + (-6.7% x $1,405) + (10.4% x $1,045) + (2.7% x $1,450) = $73.79
Weighted mean ROR for Portfolio 1 = $73.79 / ($1,150 + $1,825 + $1,405 + $1,045 + $1,450) = 2.69%
For Portfolio 2: (7.3% x $800) + (1.8% x $2,500) + (-6.7% x $250) + (10.4% x $1,200) + (2.7% x $1,880) = $99.28
Weighted mean ROR for Portfolio 2 = $99.28 / ($800 + $2,500 + $250 + $1,200 + $1,880) = 3.23%
For Portfolio 3: (7.3% x $1,100) + (1.8% x $525) + (-6.7% x $825) + (10.4% x $400) + (2.7% x $2,225) = $128.09
Weighted mean ROR for Portfolio 3 = $128.09 / ($1,100 + $525 + $825 + $400 + $2,225) = 3.02%
Therefore, the performance of the portfolios from best to worst, based on their weighted mean RORs, is Portfolio 2, Portfolio 3, and Portfolio 1.
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3. Look at the set of ordered pairs below. Determine if the three statements that follow are true or false.
If it is true, explain why you know that it is true.
If it is false, explain why you know that it is false and change the statement to a true statement.
{(3,6), (4,6), (5,7), (6,8), (7,10), (8,10)
Statement 1:
The relation is not a function because every y-value has more than one corresponding X-value
Statement 2:
The domain of this relation is 3=< x =< 8.
Statement 3:
The range of this relation is {6, 7, 8, 10}
Answer:
Statement 1 - false
A function is one-to-one or many-to-one.
One-to-one means each value in the range (y-values) corresponds to exactly one value in the domain (x-values)
Many-to-one means some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).
Therefore, as some y-values correspond to more than one x-value, this is a many-to-one function.
The true statement should be:
The relation is a function because some y-values correspond to more than one x-value.
Statement 2- true
The domain is the set of input values (x-values). Therefore, the domain is 3 ≤ x ≤ 8 as the smallest x-value is 3 and the highest x-value is 8.
Statement 3 - true
The range is the set of output values (y-values). Therefore, the range is {6, 7, 8, 10} as these are the y-values of the ordered pairs.
f(x) = x². What is g(x)?
g(x)
-5
-5
y
[f(x)/
(3, 3)
5
Click here for long description
A. g(x)=x²
OB. g(x) = x²
2
O c. g(x) = (3x)²
OD. g(x) = 3x²
hello
the answer to the question is B)
explanation:
a point shown on the g(x) graph is (3,3)
if x = 3 and y = 3, therefore:
─ answer A) is incorrect
─ answer B) is the answer since:
(1/3)(x²) = (1/3)(9) = 3
─ answer C) is incorrect since:
((1/3)(x))² = ((1/3)(9))² = 9
─ answer D) is incorrect since:
3x² = 3 × 3² = 27
Determine the geometric mean of 8 and 12, to the nearest tenth.
A) 10.0
B) 4.5
C) 48.0
D) 9.8
Answer:
D) 9.8
Step-by-step explanation:
The geometric mean of two numbers x and y is
\(\sqrt{xy}\)
so \(\sqrt{8*12}\) = \(\sqrt{96}\) \(\approx 9.7979\)
Which, since the 9 in the hundredths place is greater than 5, we can round up to 9.8
What condition has no solution?
A condition that is impossible to satisfy has no solution.
Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.
In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.
An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.
This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.
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Find the area enclosed by the given parametric curve and the y-axis.
x = sin^2(t) , y = cos(t)
The area enclosed by the parametric curve x = sin^2(t) and y = cos(t) and the y-axis can be found by integrating the absolute value of x with respect to y over the range of y-values for which the curve exists.
To find the area enclosed by the parametric curve and the y-axis, we need to determine the range of y-values for which the curve exists. From the given parametric equations, we can see that the y-values range from -1 to 1.
Next, we need to express x in terms of y by solving the equation sin^2(t) = x for t. This yields t = arcsin(sqrt(x)).
Now, we can calculate the integral of |x| with respect to y over the range -1 to 1:
∫(|x|)dy = ∫(|sin^2(t)|)dy = ∫(|sin^2(arcsin(sqrt(x)))|)dy
Simplifying the expression, we have:
∫(sqrt(x))dy = ∫sqrt(x)dy
Integrating with respect to y, we get:
∫sqrt(x)dy = 1/2 ∫sqrt(x)dx = 1/2 ∫sqrt(sin^2(t))dt = 1/2 ∫sin(t)dt = 1/2 * (-cos(t))
Evaluating the integral from -1 to 1, we have:
1/2 * (-cos(π/2) - (-cos(-π/2))) = 1/2 * (-(-1) - (-(-1))) = 1/2 * (-1 - 1) = 1/2 * (-2) = -1
Therefore, the area enclosed by the given parametric curve and the y-axis is 1/2 square units
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Reasoning Suppose the hydrogen ion concentration for Substance A is twice that for Substance B. Which substance has the greater pH level? What is the greater pH level minus the lesser pH level? Explain.
The substance with a lower hydrogen ion concentration has a greater pH level, and the substance with a higher hydrogen ion concentration has a lower pH level. The pH level of Substance A minus the pH level of Substance B equals 0.3 (8.7 - 9)
The substance with lower hydrogen ion concentration has a greater pH level. If the hydrogen ion concentration of substance A is twice that of substance B, then substance B has a higher pH level. What is the greater pH level minus the lesser pH level?
The pH scale is logarithmic, ranging from 0 to 14. If Substance B has a hydrogen ion concentration of 1 x 10^-9 moles per liter (pH 9), Substance A would have a hydrogen ion concentration of 2 x 10^-9 moles per liter (pH 8.7). Therefore, the pH level of Substance A minus the pH level of Substance B equals 0.3 (8.7 - 9).
Explanation: The hydrogen ion concentration and the pH level are inversely related. pH is defined as the negative logarithm of the hydrogen ion concentration. The lower the hydrogen ion concentration, the higher the pH level, and vice versa. As a result, the substance with a lower hydrogen ion concentration has a greater pH level, and the substance with a higher hydrogen ion concentration has a lower pH level.
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