Simplify 2y^2-7y-15/3y^2-8y-2 9y^2-1/4y^2-9 / y^2+3y-10/2y^2-9y+9
If I put $1500 into my savings account in earned $180 of an interest at 4% simple interest how long was my money in the bank
How to solve more complex problems involving angles the backwards Method
does velocity or mass impact momentum more and why
Both mass and velocity equally affect momentum in classical physics. However, at relativistic speeds, velocity has a more significant effect on momentum due to relativistic mass increase.
Explanation:The impact of mass and velocity on momentum depends on the context of the object's motion. In classical physics, momentum is defined as the product of an object's mass and velocity, thus both mass and velocity equally influence momentum. However, for objects moving at relativistic speeds—approaching the speed of light—the effect of velocity on momentum is more pronounced due to the relativistic mass increase. To illustrate, a football player with greater mass has a larger impact due to having more momentum when moving at the same velocity as a player with less mass. In contrast, at relativistic speeds, an increase in velocity would result in an exponentially greater momentum, surpassing the effect of just increasing mass.
Round 256 and 321 ( need to when rounding in the hundreds place do we not change the entire number?
Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
Given:
∠C, ∠F are rt.∠'s; AC = DF; BC = EF
Answer:
LA
Step-by-step explanation:
Odyssey
It took Leo 3.5 hours to complete a route walking at a rate of 4.2 mph. How long would it take Leo to complete the same route walking at a rate of 2.8 mph?
plz give exact answer
MARTIN CHARGES $10 FOR EVERY 5 BAGES OF LEAVES HE RAKES. LAST WEEKEND, HE RAKED 24 BAGES OF LEAVES. HOW MUH MONEY DID HE AERN
Two lines that do not intersect are parallel.alwayssometimesnever
Graph each line y -7 = x + 4
To graph y - 7 = x + 4, rewrite the equation in slope-intercept form as y = x + 11. Plot the y-intercept at (0, 11), choose another value for x to find a second point, like (1, 12), and draw the line through these points to visualize the dependence of y on x.
Explanation:To graph the line given by the equation y - 7 = x + 4, we first need to write it in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. So, we add 7 to both sides of the equation to get y = x + 11. This tells us the slope of the line is 1 (since for every increase by 1 in x, y increases by 1) and the y-intercept is 11 (this is where the line crosses the y-axis).
We can then plot the y-intercept on the graph by putting a point at (0, 11). To find another point, we can choose any value for x and solve for y. For example, if we choose x = 1, then y = 1 + 11 = 12, so another point on the line is (1, 12). By plotting these two points and drawing a line through them, we create the graph of the equation.
For more accurate results, plotting more points using various x values and connecting them would be ideal. This graphical representation illustrates the dependence of y on x.
A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 minutes. after treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 minutes and a standard deviation of 42.3 minutes (based on data from cognitive behavioral therapy vs zopiclone for treatment of chronic primary insomnia in older adults," by silverstein et al., journal of the american medical association, vol. 295, no. 24). assume that the 16 sample values appear to be from a a normally distributed population and construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments. what does the result suggest about the mean wake time of 102.8 minutes before the treatment
To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, use the formula: Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size).
Explanation:To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, we can use the formula:
Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size)
Given that the sample mean after treatment with zopiclone is 98.9 minutes, the standard deviation is 42.3 minutes, and the sample size is 16, we need to find the critical value for a 98% confidence level. The critical value can be found using a t-distribution table or calculator.
Once the critical value is obtained, we can plug in the values into the formula to calculate the confidence interval estimate.
In english class,each student must select 4 short stories from a list of 5 short stories to read. how many different combinations of short stories could a student read? math
What is a security deposit
Bill weighs 120 lbs and is gaining ten lbs each month. Phil weighs 150 lbs and is gaining four lbs each month. How many months will it take for bill to wiegh the same as phil?
Algebraic equations are equations that contain variables that are unknown. These unknown variables are represented by any letters of the Alphabet.
it will take 5 months for Bill to weigh the same as Phil.
Let's represent the number of months they gain extra weight as: m
Step 1
Bill weighs 120 lbs and is gaining ten lbs each month. The algebraic equation for the above statement is :
120 ib + 10 ib x m
120 + 10m ........Equation 1
Phil weighs 150 lbs and is gaining four lbs each month. The algebraic equation for the above statement is :
150 ib + 4 ib x m
150 + 4m ........Equation 2
Step 2
We equate equations 1 and 2 to each other
Equation 1 = Equation 2
120 + 10m = 150 + 4m
Collect like terms
10m - 4m = 150 - 120
6m = 30
Divide both sides by 6
6m/6 = 30/6
m = 5
Therefore, it will take 5 months for Bill to weigh the same as Phil
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If 15% of x is 42, what is x?
A certain elevator can hold no more than 2500 pounds. Define a variable and write an inequality for this situation
Let x represent the total weight in pounds of people and items. The inequality is x≤2500 for the elevator's weight limit.
Let's define the variable x to represent the weight in pounds of the people and items inside the elevator.
The inequality representing the situation would be:
x≤2500
This states that the weight x must be less than or equal to 2500 pounds for the elevator to safely operate within its weight capacity.
There are 34 animals in a farmyard. some are cows and some are chickens. in total there are 104 legs. how many chickens are there?
Using a system of equations, the number of chickens that are there is calculated as: 16.
How to find how many chickens are there using system of equations?Let's set up and solve the system of equations:
C + Ch = 34 (Total number of animals)
4C + 2Ch = 104 (Total number of legs)
Use a method like substitution or elimination to solve the system. Let's use elimination:
Multiply equation 1 by 2 to make the coefficients of 'Ch' in both equations the same:
2C + 2Ch = 68
Subtract equation 1 from equation 2:
(4C + 2Ch) - (2C + 2Ch) = 104 - 68
This simplifies to:
2C = 36
C = 18
Now that we know there are 18 cows, we can find the number of chickens using equation 1:
18 + Ch = 34
Subtract 18 from both sides:
Ch = 34 - 18
Ch = 16
So, there are 16 chickens on the farm.
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What is the value for ƒ(x) = 4²ˣ - 100 when x = 2 ?
Answer:
f(x)=156
Step-by-step explanation:
Help
simply. this math problem
- 4 1/5 = -21/5 = -42/10
-13 1/10 = -131/10
-42/10 - -131/10=
-42/10 + 131/10 = 89/10 = 8 9/10
answer is A
Right trapezoid WXYZ is shown. What is the measure of angle WXY?
Answer: [tex]107^{\circ}[/tex]
Explanation: Here, WXYZ is a quadrilateral where, \angle WZY and \angle ZYX are right angles ⇒[tex]\angle WZY=\angle ZYX =90^{\circ}[/tex]
And, [tex]\angle XWZ= 73^{\circ}[/tex]
Since, The sum of all angles of a quadrilateral is equal to 360^{\circ}
Therefore,
[tex]\angle WXY+\angle XWZ+\angle WZY+\angle ZYX =360^{\circ}[/tex]
⇒[tex]\angle WXY+73^{\circ}+90^{\circ}+90^{\circ}=360^{\circ}[/tex]
⇒[tex]\angle WXY=360^{\circ}-253^{\circ}=107^{\circ}[/tex]
Answer:
C. [tex]107^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a right trapezoid and we are asked to find the measure of angle WXY.
We can see from our given trapezoid that angle XYZ and angle WZY measures 90 degrees.
Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals [tex]360^{\circ}[/tex], so we can set an equation as:
[tex]m\angle WXY+m\angle XYZ+m\angle YZW+m\angle ZWX=360^{\circ}[/tex]
Upon substituting the given measures of our trapezoid we will get,
[tex]m\angle WXY+90^{\circ}+90^{\circ}+73^{\circ}=360^{\circ}[/tex]
[tex]m\angle WXY+253^{\circ}=360^{\circ}[/tex]
[tex]m\angle WXY+253^{\circ}-253^{\circ}=360^{\circ}-253^{\circ}[/tex]
[tex]m\angle WXY=107^{\circ}[/tex]
Therefore, the measure of angle WXY is 107 degrees and option C is the correct choice.
In a random sample of 55 newborn babies, what is the probability that 44% or fewer of the sample are boys. (use 3 decimal places). hint: you are asked to find p(p^^\^ < .44 ). to calculate this first find the z-score and then calculate the probability
If g(x) = 3x − 4, what is the value of g−1(g(13))?
A. 17/3
B. 35
C. x+4/3
D. 13
if y=9 When x= -3 find x when y=6
Answer:
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Step-by-step explanation:
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If an employer spends $30,000 for weight-lifting equipment for the company gym. The company charges $100 a year to each employee who wants to buy a gym pass. The pass is for an unlimited amount of uses. There are 50 employees that work for this company. How many years will it take to pay off the weight-lifting equipment if half of the employees buy the gym pass each year?
half of 50 is 25
25 *100 = 2500 a year
30,000 / 2500 = 12
it will take 12 years
Determine the axis of symmetry the vertex and the x-and y intercepts f(x)=x2+2x-3
what is the greatest common factor of 125, 50, 275
If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c
Please help me with 18 and 19
How many gallons is 15 percent of 55 gallons?
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35kg. Write an equation to determine the weight, w ww, of each of Carl's checked bags. Find the weight of each of his checked bags.
Answer:
15.5 kg (each)
Step-by-step explanation:
Let [tex]w[/tex] be the weight of each checked bag (there are 2). Thus, we can write, from the information given:
[tex]w+w+4=35\\2w+4=35[/tex]
Now we solve this equation for [tex]w[/tex] to find weight of each checked bag:
[tex]2w+4=35\\2w=35-4\\2w=31\\w=\frac{31}{2}\\w=15.5[/tex]
So, the weight of each of his checked bags is 15.5 kg.