He lake is 60 miles away, and rene is driving at 40 miles per hour the entire time, how long will it take her to get to the lake
divide distance by speed
60/40 = 1.5
it will take 1 1/2 hours ( 90 minutes)
If you place a cup of 210 degree Fahrenheit coffee on a table in a room that is 68 degrees fareinheit, and ten minutes later, it is 200 degrees fareinheit. How long will it be before the coffee is 180 degrees fareinheit? Use newtons law of cooling
Final answer:
According to Newton's Law of Cooling, it will take approximately 10.76 minutes for the coffee to cool from 210 degrees Fahrenheit to 180 degrees Fahrenheit when placed in a room with a temperature of 68 degrees Fahrenheit.
Explanation:
According to Newton's Law of Cooling, the rate at which an object cools is proportional to the temperature difference between the object and its surroundings. We can use this law to determine how long it will take for the coffee to reach a temperature of 180 degrees Fahrenheit.
First, we need to find the temperature difference between the coffee and its surroundings. The initial temperature of the coffee is 210 degrees Fahrenheit and the room temperature is 68 degrees Fahrenheit. Therefore, the initial temperature difference is 210 - 68 = 142 degrees Fahrenheit.We also know that after 10 minutes, the coffee's temperature has decreased to 200 degrees Fahrenheit. So the new temperature difference is 200 - 68 = 132 degrees Fahrenheit.Now we can set up a proportion to find the time it takes to reach a temperature of 180 degrees Fahrenheit. The ratio between the initial temperature difference and the time it takes for the coffee to cool to 180 degrees Fahrenheit is equal to the ratio between the new temperature difference and the total time it takes for the coffee to cool to 180 degrees Fahrenheit. Let's call the total time T: (142 / T) = (132 / 10). Cross-multiplying, we get 1420 = 132T. Dividing both sides by 132, we find that T = 10.76 minutes.Therefore, it will take approximately 10.76 minutes for the coffee to reach a temperature of 180 degrees Fahrenheit.
Which property of addition is shown in the equation below?
c + di + 0 + 0i = c + di
commutative propertyinverse propertyidentity propertyassociative property
Answer:
C. identity property
Step-by-step explanation:
Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.
A: 72√3 sq. units
B: 36√3 sq. units
C: 12√3 sq. units
The area of the parallelogram will be equal to 36√3 square units.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.
Parallelogram diagram I believe down below. We must find the height and then the area using the Pythagorean theorem. Since the green shaded part is a 30-60-90 triangle, the base is 1/2 the hypotenuse, therefore it is 3. Now we calculate the height with it.
A ² + B² = C²
A² + 3² = 6²
A² + 9 = 36
A² = 27
A = 3√3
Therefore the height is 3√3. Now calculate the area using A = bh
A = b x h
A = ( 12 ) x ( 3√3 )
A = 36√3
So the area is 36√3 square units.
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PLEASE HELP!!! The volume in cubic feet of a box can be expressed as , or as the product of three linear factors with integer coefficients. The width of the box is x-2.
Factor the polynomial to find linear expressions for the height and the length. Show your work.
To find linear 12/10/2023 for the height and length of the box, factor the given polynomial (x - 2)(...)
Explanation:To find linear expressions for the height and length of the box, we need to factor the given polynomial. The volume of the box can be expressed as (x - 2)(?)(?), where ? represents the linear expressions for height and length. Since we have two unknowns, we need to find two factors that when multiplied together give us the given polynomial.
To factor x^2 - 2x, we need to find two numbers that multiply to give -2 and add up to give -2. The factors are -1 and 2, so we can write the polynomial as (x - 1)(x - 2). Therefore, the linear expressions for the height and length are (x - 1) and (x - 2) respectively.
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the "h" value moves the graph up or down true or false ?
Answer:
False
Step-by-step explanation:
Suposse that we are given a function f(x) and a constant value h.
1. Case:
If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down.
2.Case:
If we take the function g(x)=hf(x), then the graph of the function g(x) will be the graph of the function f(x) just taller or shorter.
3.Case:
If we take the function g(x)=f(x-h), then the graph of the function g(x) will be the graph of the fuction f(x) moved horizontally.
4. Case:
If we take the function g(x)=f(hx), then the graph of the function g(x) will be tha graph of the function f(x) wither or thiner.
For example:
If we take f(x)=sin(x) and h=2. Then, if we take g(x)=sin(2x) then f(0)=g(0)=0, which means that the graph of the functiction is not moved up or down. However, f(π/2)=sin(π/2)=1 and g(π/2)=sin(π)=0 which gives us a hint that the graph of the function became thiner.
It wont let me post a picture of the angles but they are verticle angles and the equations are (3x+8), (5x-40) and it says find m ABC.
The choices are 24, 56, 80, 90
Answer:
the answer is 24 i hope this helps ...
Hillary age is 3 years greater than 2/3 times Lilly's age if Hillary is 19 years old how old is Lilly
Hillary = 3+2/3X
19=3+2/3X
16=2/3X
X= 16 / 2/3 = 16/1* 3/2 = 48/2
X=24
Lilly is 24
Are there any rational numbers between 0.4 and 4/9
4(3h+7)/4+h for h=-2
Doris put $4000 in a 2-year CD paying 6% interest, compounded monthly. After 2 years, she withdrew all her money. What was the amount of the withdrawal? A. $4000.00 B. $4214.41 C. $4508.64 D. $4448.13
Evaluate the expression 2(8 - 4)^2 - 10 / 2
Answer:
27
Step-by-step explanation:
2(8 - 4)^2 - 10/2
Using the order PEMDAS, or parenthesis, exponents, multiplication, division, addition, subtraction, we will start with the parenthesis, or 8-4.
2(4)^2 - 10/2
Next is exponents.
2(16) - 10/2
And then multiplication.
32 - 10/2
Then division.
32 - 5
Finally, subtraction.
27
Therefore, the answer is 27.
What's the circumference of a circular swimming pool with a diameter of 20 feet
circumference = Diameter x PI
using 3.14 for PI
3.14 x 20 = 62.8 feet
A herd of 39 horses has 33 white horses some black horses. What is the ratio of black horses to white horses?
There is 6 black horses, so 6/39.
What is the equation of a line that goes through the point (0,−35)(0,−35) and has a slope of -1?
Select one:
a. y=x−35y=x−35
b. y=−x−35y=−x−35
c. y=−35x−1y=−35x−1
d. −35y=−x
Answer:
y=−x−35 (Did it on college bridge)
Step-by-step explanation:
Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠ROP?
41
67
113
139
Answer: The correct option is (A) 41°.
Step-by-step explanation: Given that quadrilateral OPQR is inscribed in circle N as shown in the figure.
Also, ∠ROP = (x+17)° and ∠RQP = (6x-5)°.
We are to find the measure of ∠ROP.
Since quadrilateral OPQR is inscribed in a circle, so it is a cyclic quadrilateral.
We know that the sum of the measures of opposite angles of a cyclic quadrilateral is 180°.
So, in cyclic quadrilateral OPQR, we have
[tex]m\angle ROP+m\angle RQP=180^\circ\\\\\Rightarrow (x+17)^\circ+(6x-5)^\circ=180^\circ\\\\\Rightarrow (7x+12)^\circ=180^circ\\\\\Rightarrow 7x^\circ=168^\circ\\\\\Rightarrow x^\circ=\left(\dfrac{168}{7}\right)^\circ\\\\\Rightarrow x^\circ=24^\circ.[/tex]
Therefore, we get
[tex]m\angle ROP=(x+17)^\circ=(24+17)^\circ=41^\circ.[/tex]
Thus, the measure of angle ROP is 41°.
Option (A) is CORRECT.
What are the limitations of determining a function’s average rate of change by examining the function’s graph?
The limitations of determining a function's average rate of change by examining the function's graph include incomplete information, the need for tangent lines, and limited interval-specific data.
Explanation:When determining a function's average rate of change by examining the function's graph, there are several limitations to consider.
The graph may not provide enough information about the function's behavior between plotted points, leading to an inaccurate estimation of the average rate of change.A curved graph may require the use of tangent lines to calculate the instantaneous rate of change, which may not accurately represent the average rate of change.The graph may not show the function's behavior in different intervals or at certain points, making it difficult to determine the average rate of change for specific intervals or points.These limitations highlight the importance of understanding the limitations of graph analysis and considering alternative methods, such as calculus, to accurately calculate the average rate of change of a function.
So the cube root of 312 lies
A student scored 98 and 87 on his first two quizzes. Use a compound inequality to find the possible values for a third quiz score that would give him an average between 90 and 95 inclusive
The range of possible scores for the third quiz that would yield an average score between 90 and 95 is 85 to 100, inclusive.
Explanation:The objective is to find the range of possible scores for the third quiz that would give an average score between 90 and 95, inclusive. As per the question, the sum of the student's first two quizzes is 98+87=185. If we denote the third quiz score as 'x', then the equation could be written as (185+x)/3 = average score. Considering the lower and upper limit of the average, we form two inequalities. For the lower limit, it's (185+x)/3 >= 90, which simplifies to x >= 270 - 185, thus x >= 85. For the upper limit, it's (185+x)/3 <= 95, which simplifies to x <= 285 - 185, thus x <= 100. So, the range of scores for the third quiz that would give an average between 90 and 95 inclusive is 85 <= x <= 100.
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Which two consecutive whole numbers is the value of √21 between?
A.4 and 5
B.10 and 11
C.21 and 22
D.42 and 43
help help help help help please
How can you use a number line to compare and order numbers?
George plays basketball in a week long camp On day 2 he scored 8 points On day 4 he scored 12 points Explain how to measure his average rate of change
Answer:
the average rate of change is an increase of 2 points a day
Step-by-step explanation:
How many gallons of gas is in my tank?
F(180) = x/30
= 180/30 = 6 gallons of gas is needed
A restaurant offers a dinner special that lets you choose from 10 entrees, 8 dishes and 13 desserts you can choose one dish one desert how many meals possible
Which of the following rules represents the set of ordered pairs?
{(1, 2), (2, 3), (4, 5), (7, 8)}
ƒ(x ) = 2x + 1
ƒ(x ) = -x + 4
ƒ(x ) = x + 1
What are the coordinates of point P on the directed line segment from R to Q such that P is 5/6 the length of the line segment from R to Q? Round to the nearest tenth, if necessary.
Answer: The required co-ordinates of the point 'P' are (-3.5, 2.3).
Step-by-step explanation: We are to find the coordinates of point P on the directed line segment from R to Q such that P is 5/6 the length of the line segment from R to Q.
We are to find the co-ordinates of point 'P'.
The ratio in which the point 'P' dives the line segment RQ will be
[tex]m:n=5:1.[/tex]
The co-ordinates of the end-points of line segment RQ are
R(4, -1) and Q(-5, 3).
If a point 'H' divides a line segment with end points (p, q) and (s, t) in the ratio m : n, then the co-ordinates of the point 'H' are
[tex]H=\left(\dfrac{ms+np}{m+n},\dfrac{mt+nq}{m+n}\right).[/tex]
Therefore, the co-ordinates of point 'P' are
[tex]\left(\dfrac{5\times (-5)+1\times 4}{5+1},\dfrac{5\times 3+1\times (-1)}{5+1}\right)\\\\\\=\left(\dfrac{-25+4}{6},\dfrac{15-1}{6}\right)\\\\\\=\left(\dfrac{-21}{6},\dfrac{14}{6}\right)\\\\\\=(-3.5,2.3).[/tex]
Thus, the required co-ordinates of the point 'P' are (-3.5, 2.3).
To find point P's coordinates, calculate weights for points R and Q using the ratio 5/6 and apply these to R and Q's coordinates based on linear interpolation.
Explanation:The question involves determining the coordinates of a point P located at a specific fraction of the distance from point R to point Q on a directed line segment. The fraction given is 5/6, meaning that point P is 5/6th the distance from R to Q. The process to find the coordinates of point P involves calculating the weights for R and Q in the form of (1 - 5/6) and (5/6) respectively and then applying these weights to the coordinates of R and Q. This method is based on the concept of linear interpolation or finding a point of division in a line segment.
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A bag contains three green Christmas ornaments and four gold ornaments. If you randomly pick two ornaments from the bag, at the same time, what is the probability that both ornaments will be gold? A) 4/7 B) 2/7 C) 3/7 D) none of the above
The probability of drawing two gold ornaments in a row from a bag containing three green and four gold ornaments is 2/7. This is calculated by multiplying the probability of drawing a gold ornament on the first draw, 4/7, by the probability of drawing another gold ornament from the remaining ornaments, 1/2.
Explanation:The subject matter of this problem is probability. Probability tells us how likely an event is to occur given certain conditions. In this case, we are interested in the probability of drawing two gold ornaments from a bag containing three green and four gold ornaments. To solve this problem, we have to calculate the probability of selecting a gold ornament on the first and second draw.
Start with the total amount of ornaments, which is seven (three green and four gold). The probability of drawing a gold ornament on the first pick is 4 out of 7, or 4/7. However, if you draw a gold ornament first, there will be 6 ornaments left with 3 being gold.
So, the probability of drawing another gold ornament becomes 3 out of 6, or 1/2. The probable event is happening two times in a row and we're not replacing the ornaments, so we multiply these probabilities together:
4/7 * 1/2 = 2/7
Therefore, the probability of drawing two gold ornaments in a row from this bag is 2/7, so the correct answer is B) 2/7.
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The population of Glendale this year is 3,200 more than half of last year’s population. The population this year is 26,300. Which equation could be solved to find last year’s population?
The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step
Answer:
AXxaXax
Step-by-step explanation: