Answers
Related Questions
A baseball diamond is a square with sides 90 ft long. A batter is at bat, with runners at first and second base. At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s. Simultaneously, the runner on second base runs to third base at 15 ft/s. How fast is the distance between these two runners changing 2 s after the ball is hit?
Answers
Answer:
It is changing at -11 ft
Step-by-step explanation:
The distance d is given by
d = √x²+(90-y)²
We have to differentiate
dy/st = 25ft
dx/dt = -15ft
The question says after 2 seconds
Y = 25x2 = 50ft
X = -15x2 = -30ft
Then we calculate rate of change of distance. From the calculations I did, I arrived at
(1/2√900+1600).[900-2000]
= -1100/2x50
= -1100/100
= -11ft
Please check attachment to help you understand the answer better as it is more detailed.
The distance between these two runners changing 2 s after the ball is hit 11 ft
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A baseball diamond is a square with sides 90 ft long.
A batter is at bat, with runners at first and second base.
At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s.
Simultaneously, the runner on second base runs to third base at 15 ft/s.
The distance d is given by
[tex]\rm d = \sqrt{x^{2} +(90-y)^2}[/tex]
We have to differentiate
[tex]\rm \dfrac{dy}{st} = 25 \ ft\\\\\dfrac{dx}{dt} = -15 \ ft[/tex]
The question says after 2 seconds
[tex]\rm Y = 25x ^2 = 50 \ ft\\\\X = -15x^2 = -30 \ ft[/tex]
Then we calculate the rate of change of distance will be
[tex]\rm \dfrac{1 }{2\sqrt{900 + 1600}} * (900 - 2000) = \dfrac{-1100}{2*50} = \dfrac{-1100}{100} = -11\ ft[/tex]
More about the differentiation link is given below.
https://brainly.com/question/24062595
1) If a bookshelf is 28 inches long, how many 1 inch books will fit on the bookshelf?
Answers
Answer:
28
Step-by-step explanation:
28/1 = 28
Suppose that a regression line for some data transformed with logarithms predicts that when x equals 8, will equal 1.603. What does the regression line predict y will equal when x equals 8? Round your answer to the nearest whole number. A. 2 B. 40 C. 13 D. 28
Answers
Answer:40
Step-by-step explanation:
Answer:
B. 40
Step-by-step explanation:
aapeexxxxxab
Mike buys a dvd set of a television series.each dvd has 6 episodes. There are 24 episodes. How many dvds are in the set?
Answers
Answer:
4 in one set
Step-by-step explanation:
So if 24%6= 4
Morgan born is paid $11.20 an hour for a 40-hour week.Her estimated benefits are 33% of her wages.What is value of her total yearly employee benefits?
Answers
Answer:
Как ты это делаешь
Step-by-step explanation:
Graph the function.
y=-1/2(x+2)^2+3
Answers
Solve for b. Show your work: 3b+2(b-3)=4 HELP
Answers
Answer:
b=2
Step-by-step explanation:
First multiply everything in the parenthesis by the 2 outside of them then combine like variables to get the equation 5b-6=4 then subtract 6 from both sides then divide by 5 to get b=2.
Marcos talks to his grandfather in Alabama for about 95 minutes per month. About how long does he talk each day? (Hint: Use 1 month = 30 days).
Answers
Answer:
Divide 95 by 30
Step-by-step explanation:
Answer:
0.315
Step-by-step explanation:
divide talking time by number of days in month
Sickle-cell disease is a painful disorder of the red blood cells that in the United States affects mostly African Americans. To investigate whether the drug hydroxyurea can reduce the pain associated with sickle-cell disease, a study by the National Institutes of Health gave the drug to 150 sickle-cell sufferers and a placebo to another 150 sufferers. The researchers then counted the number of episodes of pain reported by each subject. What is the response variable in this study
Answers
Answer:
The response variable is; reduction in the pain associated with sickle-cell disease.
Explanation:
Note, a response variable (dependent variable) simply refers to resulting effect (either significant or insignificant effect) of the independent variable on the subjects of the experiment.
In other words, the effect of the drug hydroxyurea after the experiment would show whether it leads to or not lead to a reduction in the pain associated with sickle-cell disease.
2x + 2y + z = 2
-x + 3y + z = -2
3x + 2z = 7
Answers
Answer:
[tex]x=1,\:\\z=2,\:\\y=-1[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2x+2y+z=2\\ -x+3y+z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}-x+3y+z=-2\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x+6y+2z=-4\\\\\begin{bmatrix}2x+2y+z=2\\ -2x+6y+2z=-4\\ 3x+2z=7\end{bmatrix}\\\\-2x+6y+2z=-4\\+\\\underline{2x+2y+z=2}\\8y+3z=-2\\\\\begin{bmatrix}2x+2y+z=2\\ 8y+3z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}2x+2y+z=2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:6x+6y+3z=6\\\\\mathrm{Multiply\:}3x+2z=7\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+4z=14\\\\[/tex]
[tex]\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ 6x+4z=14\end{bmatrix}\\\\6x+4z=14\\-\\\underline{6x+6y+3z=6}\\-6y+z=8\\\\\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ -6y+z=8\end{bmatrix}\\\\\mathrm{Multiply\:}8y+3z=-2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:24y+9z=-6\\\\\mathrm{Multiply\:}-6y+z=8\mathrm{\:by\:}4\:\mathrm{:}\:\\\quad \:4z-24y=32\\\\\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ -24y+4z=32\end{bmatrix}\\\\-24y+4z=32\\+\\\underline{24y+9z=-6}\\13z=26[/tex]
[tex]\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ 13z=26\end{bmatrix}\\\\Solve\:13z=26\:for\:z\: : , z= 2\\\\\mathrm{For\:}24y+9z=-6\mathrm{\:plug\:in\:}z=2\\\\Solve\:24y+9\times\:2=-6\:for\:y\:,y=-1\\\\\mathrm{For\:}6x+6y+3z=6\mathrm{\:plug\:in\:}z=2,\:y=-1\\\\Solve\:6x+6\left(-1\right)+3\times\:2=6\:for\:x\:,x=1\\\\x=1,\:z=2,\:y=-1[/tex]
The measure of an angle is 17 times the measure of its complementary angle what is the measure of each angle
Answers
Answer:
First, write an equation system for the problem
For example, x represents the first angle and y represents the second angle
An equation for "the measure of an angle is seventeen times the measure of a complementary angle" is
∴ x = 17y
The sum of complementary angle is 90°. It can be written as
∴ x + y = 90°
Second, use subtitution method to find the value of x and y
Subtitute x with 17y
x + y = 90°
17y + y = 90°
18y = 90°
y = 90°/18
y = 5°
Subtitute y with 5°
x = 17y
x = 17(5)
x = 85°
The measure of each angle is 5° and 85°
what is 2.261. rounded to the nearest half
Answers
Answer:
Step-by-step explanation:
if round to the nearest tenth is 2.3
if round to the nearest hundred is 2.26
if round to the nearest thousand is 2.261
Hope this help, if it does mark me brainliest
Which of the following represents this function written in intercept form
y= - x2 – x+ 6
A. v= - (x − 2)(x+3)
B. v= (-x+3)(x-4)
c. v= - (x + 2)(x+6)
D. v= - (1+2)(1-6)
Answers
Answer:
v=2(x - 1)(x-6)=2(x²-6x-x+6)=12x²-12x-2x+12
v = 12x²-14x+12 standard form
Step-by-step explanation:
You want to conduct a survey to determine the proportion of people who favor a proposed tax policy. How does increasing the sample size affect the size of the margin of error?
a. increasing n decreases E.b. increasing n increases E.c. increasing n will cause E to double in value.d. increasing n will not effect E.
Answers
Answer:
a. increasing n decreases E
Step-by-step explanation:
The sample size refers to the number (n) of units or observations taken from a population for a study. The results obtained from this sample size can be used to make generalizations about the entire population. The margin of error (E) is a measure of the sampling error or the percentage of the difference between the results obtained from the study and the true population value. The relationship between the sample size (n), and the Margin of error (E) is an inverse. That means
Sample size (n) ∝ 1/E
So, as the sample size increases, the margin of error decreases. This would be even more true if the accurate procedures for the experiment are followed.
What are the six-digit grid coordinates for spot elevation 192
Answers
Answer:
750450
Step-by-step explanation:
Translate this phrase into an algebraic expression.
8 more than twice Jenny's savings
Use the variable ; to represent Jenny's savings.
Answers
J represents her savings
She has 8 more (equivalent to additina) than 2x the savings(equivalent to multiplication)
The given phrase can be written in terms of expression as 2x + 8.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given word problem can be solved as follows,
Suppose Jenny's savings is x.
Then, twice of the saving = 2x.
And, 8 more than it is equal to 2x + 8.
Hence, the given word problem can be written in terms of algebraic expression as 2x + 8.
To know more about algebraic expression click on,
brainly.com/question/953809
#SPJ5
PLEASE NEED HELP ASSP
Answers
Answer:C
Step-by-step explanation:
Is the simplified form of 2^3x2^6 rational
Answers
Answer: it is not rational.
Step-by-step explanation: 2 to the power of 3 is 8. 2 to the power of 6 is 64. 64x8 is 512. 512 is not a perfect square therefore it is a irrational number.
Please help me!! Thank you
Answers
Ir[ Fairbanks, the temperature at 6:00 AM on Sunday is - 48°F. The weather forecast
predicts that a warming trend will raise the temperature to 0°F.
If the temperature rises an average of 16° a day, how many days will it take to get to 0?
Answers
Answer:
The answer is 3 days
Step-by-step explanation:
Divide 48/16=3
3g+h=18 2g+3h=26 what is h and what is g
Answers
Answer:
g=4 h=6
Step-by-step explanation:
3g +h = 18 (Equation 1)
2g+3h=26 (Equation 2)
From equation 1
3g+ h =18
h= 18-3g (equation 3)
substitute equation 3 into equation 2
2g+3h= 26
2g+ 3(18-3g)= 26
2g+3×18+3(-3g)=26
2g+54-9g=26
9g-2g= 54-26
7g=28
7g÷7 = 28÷7
g= 4
substitute g into equation 1
3g+h=18
3(4)+ h= 18
12+h= 18
h=18-12
h= 6
Answer:
g = 4; h = g
Step-by-step explanation:
When solving an equation with two variables, the goal is to isolate at least one of the variables so that you can plug it in to the equation to get the other. There are multiple ways to solve this so I'll just be giving one.
3g + h = 18
2g + 3h = 26
In these two equations, I notice that if I multiply the first equation by 3, the two equations will have the same values of h, so I'd be able to isolate g:
9g + 3h = 54
2g + 3h = 26
Now, subtract the second equation from the first to isolate g:
9g + 3h = 54
-2g + 3h = 26
= 7g = 28
= g = 4
Now that we have solved for g, we can plug it into either of the equations and solve for h:
2(4) + 3h = 26
= 8 + 3h = 26
= 3h = 18
= h = 6
And in conclusion, g = 4 and h = 6.
Jada's bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times.
Answers
Larson's Deli orders brisket delivered every month, Last month the order was for 38 pounds and
cost $304, including delivery charges, which are always the same for any size order. The delivery
company charges $38 for delivery. How much will this month's order for 50 pounds cost, including
delivery charges?
A
$350
B.
$388
С
$400
D
$438
Answers
Answer: The answer is 388$
Step-by-step explanation:
First we need to know our domain and range. our domain is POUNDS and range is TOTAL COST of the delivery AND briskit. Next, we need to find how much the briskit cost by itself. The brisket is 38 pounds. So to do this, we use need to subtract; y - x = briskit cost. It would look like this if you plug in the units:
304 - 38=266
Now we are going to find how much EACH POUND COSTS. To do this, all we have to do is divide the briskit cost and how much the briskit weighs:
266/38=7
Now that we know how much the briskit cost and how much each briskit weighs, we are going to use the formula y=mx+b so that we can plug in 50 pounds for our x. It would look like this if you plug in the units:
y= 7x+ 38
y= 7(50) + 38= 388$
*Don't forget the dollar sign :) *
Use dimensional analysis to convert the quantity to the indicated units.
27 ft to in
in. (Round to the nearest hundredth as needed.)
Answers
Answer:
27 ft = 324 inches
Step-by-step explanation:
We want to use dimensional analysis to convert a quantity here
27 ft to inches
Mathematically;
12 inches = 1 ft
so;
x inches = 27 ft
So the number of inches will be 27 * 12 = 324 inches
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept???
image is there
Answers
-4 is the x intercept.as in the values on the x-axis
Answer:
Im pretty sure it the first one
Step-by-step explanation:
Pls answer fast Y=Mx+b for x
Answers
Answer:
y=mx+b
y=mx+b-b
y-b=mx
y-b/m = mx/m
y-b/m = x
Answer:
x = (y - b)/M.
Step-by-step explanation:
y = Mx + b
Mx = y - b
x = (y - b)/M.
A number increased by sixteen is equal to thirty-seven
Answers
Answer:
21
Step-by-step explanation:
It would have to be twenty one because thirty seven minus sixteen is twenty one it's simple math-
A common multiple is 180 true or false
Answers
Answer:
False
Step-by-step explanation:
A frame shop charges according to both the amount. Of framing needed to surround the picture and the amount of glass needed to cover the pictures
a. Find the area and perimeter of the trapezoid-shaped framed picture to the right
b. Identify whether the frame has to do with perimeter or area and the same with the glass
a. The area of the picture is
b. The perimeter is
Answers
Answer:
A: The area of it would be the equation (10x8)x(26)= 2,080 Inches
The perimeter would be (10+32+10+20)= 72
B: Perimeter on the top part of the frame
C: The area of it would be the equation (10x8)x(26)= 2,080 Inches
D: (10+32+10+20)= 72
Plz mark me brainsliestttt!!
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Answers
Answer:
c
Step-by-step explanation:
Answer:
b c d e
Step-by-step explanation:
took the test
