Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent this situation, where x represents Oscar’s age.

Answer:

226 dollars

Step-by-step explanation:

Bryan = 176

Jamie = 88

Nancy = 226

Since Nancy paid 50 dollars more than Bryan paid that is 226.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Nancy, Bryan and Jamie combined their money to purchase a laptop. Together, they paid a total of 490 dollars for the laptop, including tax.

The total = 490 dollars

Given that Nancy paid 50 dollars more than Bryan paid and Bryan paid twice as much as Jamie paid.

Bryan = 2 x Jamie

Nancy = 50 + Bryan

Let Jamie = J

J + 2J + 50 + 2J = 490

5J + 50 = 490

5J = 440

J = 88

Therefore, Bryan = 176

Jamie = 88

Nancy = 226

Hence, Since Nancy paid 50 dollars more than Bryan paid that is 226.

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the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

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The statement is false. The correct formula for the monthly payment on a $13,000 5-year car loan with a yearly interest rate of 9.5% compounded monthly is PMT(0.00791667, 60, 13000).

To calculate the monthly payment on a loan, we typically use the PMT function, which takes the arguments of the interest rate, number of periods, and loan amount. In this case, the loan amount is $13,000, the interest rate is 9.5% per year, and the loan term is 5 years.

However, before using the PMT function, we need to convert the yearly interest rate to a monthly interest rate by dividing it by 12. The monthly interest rate for 9.5% per year is approximately 0.00791667.

Therefore, the correct formula for the monthly payment on a $13,000 5-year car loan with a yearly interest rate of 9.5% compounded monthly is PMT(0.00791667, 60, 13000).

Hence, the statement is false.

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Answer:

ASA

Step-by-step explanation:This is because the two triangles have two angles and a side that are equal to each other. pls brainlyest me

Adding this so you can give the other person a brainlyist

Answer:

7f

Step-by-step explanation:

Just add them all together keeping the f on

Then subtract keeping the f on

Answer:

7f

Step-by-step explanation:

To simplify you will need to do it the same way as in adding natural numbers the variable doesn't change the number

So it's going to be;

9f+10f-12f

(Nine plus Ten is equal to 19)

•The variable remains the same

19f-12f

•So you subtract 12 from 19 which is going to be;

7f

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

Answer:

i think its 12 hours

Step-by-step explanation:

use calculator

Answer:

Step-by-step explanation

the figure is composed of a square with an isosceles right triangle inside, we find the area of ​​the square and we take away the area of ​​the triangle.

Triangle area = lxl, right-angled triangle area side by side divided by two.

8 * 8 = 64cm²

6 * 6 : 2 = 18 cm²

Area of the shaded region

64 - 18 = 46 cm²

Answer: C) 0.0227705

Step-by-step explanation:

\(E=1.96\sqrt{\frac{(0.70)(0.30)}{1051}}=0.02770\dots \\\)

p = 0.70, n= 1051

The term used for a line, ray, or segment that intersects a segment at its midpoint is the Perpendicular Bisector.

A perpendicular bisector is a line that intersects another line at the midpoint, forming right angles. It's a line that splits a line segment into two equal pieces at a 90-degree angle.

A line is split into two parts, each of which is the same length and is equidistant from the endpoints of the original line. A perpendicular bisector divides a line into two equal parts, making each one a mirror image of the other.

Perpendicular bisectors have a variety of practical applications.

For example, they can be used in geometry proofs to demonstrate that two lines are parallel or that two line segments are equal in length.

They may also be used in surveying, architecture, and engineering to establish straight lines and points of intersection.

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Answer:

a) 86,314.

b) 9,162,500.

Step-by-step explanation:

(a) 838(100 + 3)

= 83800 + 2514

= 86314.

(b) 91625 x 179 - 91625 x 79

= 91625(179 - 79)

= 91625 x 100

= 9162500.

Answer:

a,b are the right answers

Step-by-step explanation:

Using the definition of limit, it is shown that for any positive ε, there exists a positive integer N such that the absolute difference between the sequence and 7 is less than ε for all n greater than or equal to N. Therefore, the conjecture is proven.

Conjecture: The limit value of the sequence {\frac{5n}{4n} + 6} as n approaches infinity is 7.

{\frac{5n}{4n} + 6} = {\frac{5}{4}} + 6/n

As n approaches infinity, 6/n approaches 0, so the sequence approaches {\frac{5}{4}} + 0 + 6 = 7.

Proof:

Let ε be a positive number. We want to find a positive integer N such that for all n ≥ N, |{\frac{5n}{4n} + 6} - 7| < ε.

|{\frac{5n}{4n} + 6} - 7| = |{\frac{5n}{4n} - {\frac{4n}{4n}}}|

= |{\frac{n}{4n}}|

= {\frac{1}{4}}

So we want to find N such that {\frac{1}{4}} < ε.

Choose N to be the smallest integer greater than {\frac{1}{4ε}}. Then for all n ≥ N, we have:

|{\frac{5n}{4n} + 6} - 7| = |{\frac{1}{4}}| < ε

Therefore, the limit of the sequence {\frac{5n}{4n} + 6} as n approaches infinity is 7, which proves the conjecture.

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Answer:

-15

Step-by-step explanation:

Below are the field properties or axioms of equality used to justify each step.

What is an axiom answer?

An axiom is a rule or statement that is generally accepted to be true without proof. An axiom is also called a postulate.

7(x + 3) = 4 + 3x  

7x + 21 = 4 + 3x  --- Distributive Property of Multiplication over Addition

7x + 21 = 3x + 4  --- Subtraction Property of Equality

4x + 21 = 4   ---- Commutative Property of Addition

4x = - 17         -------- Subtraction Property of Equality

1/4 * (4 * 1) = 1/4 * (- 17)    ----- Multiplication Property of Equality

x = 1/4 * (- 17)               ----- Multiplicative Identity Property

x =-17/4             ----- Multiplicative Inverse Property

Hence, Above are the field properties or axioms of equality used to justify each step.

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The probability that a junior is taking physics, given they are in Algebra II, is approximately 0.3846 or 38.46%.

1. First, let's find the number of juniors taking only Algebra II and not physics. We do this by subtracting the number of juniors taking both courses from the total number of juniors taking Algebra II:
  468 (Algebra II) - 180 (both courses) = 288 (only Algebra II)

2. Now, we have two groups of juniors enrolled in Algebra II:
  - 288 juniors taking only Algebra II
  - 180 juniors taking both Algebra II and physics

3. Since we want to find the probability that a junior is taking physics, given they are in Algebra II, we'll focus on the group taking both courses.

4. To calculate the probability, divide the number of juniors taking both courses by the total number of juniors taking Algebra II:
  Probability = (number of juniors taking both courses) / (total number of juniors in Algebra II)
  Probability = 180 / (288 + 180)
  Probability = 180 / 468
  Probability ≈ 0.3846 or 38.46%

So, if one of the 650 juniors was picked at random and we know they are in Algebra II, the probability that they are also taking physics is approximately 38.46%.

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Step-by-step explanation:

d = a  -  - a   = a + a = 2a

Answer: Option B

Step-by-step explanation: The slope is positive because it is going up from left to right. Therefore, it cannot be negative.

Answer: (B) The slope of the line is \(-\frac{3}{5}\).

Step-by-step explanation:

     Since this line is going from the bottom left to the top right, the slope is positive. This means that option B is incorrect, therefore meaning statement B is our answer as it's not true.

           The slope is \(\frac{3}{5}\), not \(-\frac{3}{5}\).

Answer:

The answer is option C

Step-by-step explanation:

The solution is in the image

Answer:

Did you mean to attach something?

Step-by-step explanation:

I don't see the illustration... without it I cannot answer the question.

Answer:

0, 0, 4, -3

Step-by-step explanation:

Answer:

The length of the the shorter leg is 7.

Step-by-step explanation:

This is pretty simply, just work backwards. We know that the base multiplied by the height is half of the area. So we can say that 48 * 2 = 98.

Well, what two numbers equal 98?

(1 and 98)

(2 and 48)

(7 and 14)

The question says that the height is twice as long as the base. We can assume that 14 is the height as its twice as much as 7, which is the base. Therefore:

48= 1/2 (7)(14)

The length of the the shorter leg is 7.

Answer:

7

Step by Step Explanation:

if the area is equal to 49,then the the base x the height should be twice that, since we have to half it. So bxh should be equal to 98. The should be 14 and the base should be 7, multiplied together they get to 98, and the base is half the height. Since 7 is the base it's the shortest leg.

The probability that the sample mean differs from the population mean by 1.8mm and is rounded off to 4 decimal places is 0.8220

According to the given problem the mean diameter μ= 140 mm (population mean) and the standard deviation is σ=8mm

random sample size, n= 49 steel bolts is selected

Let the random variable that represents the diameter of steel bolts be denoted by x and from the problem we have x = 1.8mm

Let z = (x-μ) / (σ/√n )         (1)

using formula (1) and when the sample mean differs from the population mean by more than 1.8mm

z = 1.8/(8/√49 )

⇒z = 63/40 = 1.575

The probability that the sample mean will differ from the population mean by more than 1.8 mm

P( z > 1.575) = 1 - P(z< 1.575) = 1 - 0.178 = 0.822

The probability that the sample mean will differ from the population mean by more than 1.8 mm = 0.8220

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Step-by-step explanation:

please answer this question quickly

Answer:

H<5

Step-by-step explanation:

u solve it as a normal equation but with the symbol <.

The standard deviation of the total demand over the sales period can be calculated by multiplying the standard deviation of the sales period (3 weeks) by the standard deviation of the weekly demand (35 units). Thus, the standard deviation of the total demand is 3 weeks * 35 units/week = 105 units.

The standard deviation of the total demand is calculated by multiplying the standard deviation of the demand per week by the square root of the number of weeks in the sales period. In this case, the standard deviation of the demand per week is 35 units, and the number of weeks in the sales period is 7. The square root of 7 is 2.64575131106459. Therefore, the standard deviation of the total demand is 35 * 2.64575131106459 = 93.096859377323. Rounding to the nearest unit, the standard deviation of the total demand is 105 units.

In other words, there is a 68% chance that the total demand will be within 105 units of the average demand of 245 units. There is a 16% chance that the total demand will be less than 140 units or more than 340 units. There is a 2.5% chance that the total demand will be less than 135 units or more than 345 units.

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The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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Answer:

So, it is an 2 to 120 ratio meaning for every 2 masters we have 120 servants. Dividing 228,000 by 120, we get 1900. 1900 times 2 = 3800 masters overall. Adding 3,800 to 228,000, we get 231,800

Step-by-step explanation:

(a) The population of interest is people that drive along highways with digital billboards.

(b) The claim tested is that the time required to respond to road signs increases when digital billboards are present.

(c) Additional information that would help decide if it is reasonable to generalize the conclusions of this study to the population of interest includes random assignment, the presence of a control group, and the researchers' opinions on digital billboards.

(d) Assuming the participants are representative, the risk of an incorrect conclusion would be lower with 100 participants instead of 48, as larger sample sizes generally lead to more accurate estimates.

(a) The population of interest in this study is people that drive along highways with digital billboards.

(b) The claim tested in this study is that the time required to respond to road signs increases when digital billboards are present.

(c) Additional information that would help decide if it is reasonable to generalize the conclusions of this study to the population of interest includes whether the drivers were randomly assigned to experimental groups, if there was a control group that was not subjected to digital billboards, and the opinions of the researchers on digital billboards. Random assignment and the presence of a control group help to establish causality, while the researchers' opinions can provide insight into potential biases.

(d) Assuming that the people who participated in the study are representative of the population of interest, the risk of an incorrect conclusion would be lower if 100 people had participated instead of 48. This is because larger sample sizes generally lead to more accurate estimates of population parameters and reduce the impact of random sampling variability.

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The given question is incomplete, the complete question is:

The article "More Communities Banning 'Television on a Stick'"† describes an ongoing controversy over the distraction caused by digital billboards along highways. One study mentioned in the newspaper article is described in "Effects of Advertising Billboards During Simulated Driving."† In this study, 48 people made a 9 km drive in a driving simulator. Drivers were instructed to change lanes according to roadside lane change signs. Some of the lane changes occurred near digital billboards. What was displayed on the digital billboard changed once during the time that the billboard was visible by the driver to simulate the changing digital billboards that appear along highways. Data from this study supported the theory that the time required to respond to road signs was greater when digital billboards were present

(a) what is the population of interest? the 48 people that participated in the driving simulation drivers who are distracted by digital billboards all drivers in the u.s. inexperienced drivers in the u.s. people that drive along highways with digital billboards (b) what claim was tested? drivers are more likely to have an automobile accident when digital billboards are present. drivers are more distracted by digital billboards when the display changes. the time required to respond to road signs decreases when digital billboards are present. the time required to respond to road signs increases when digital billboards are present. drivers are less likely to have an automobile accident when digital billboards are present. (c) what additional information would help you decide if it is reasonable to generalize the conclusions of this study to the population of interest? (select all that apply.) the opinions of the researchers on digital billboards the names of the drivers if there was a control group that was not subjected to digital billboards if the drivers were randomly selected if the drivers were randomly assigned to experimental groups (d) assuming that the people who participated in the study are representative of the population of interest, do you think that the risk of an incorrect conclusion would have been lower, about the same, or higher if 100 people had participated instead of 48? lower about the same higher

Answer:

1/3

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

2/4

is 2 divided by 2 is 1

4 divied by 2 is 2

so 1/2

(Mark Brainliest??)

Answer:

------------------------

The area of the shaded shape is the difference of areas of the trapezoid and white rectangle: