Step-by-step explanation:
domain = {-7, -3, 1}
range ={-8, -5, 7, 8}
What is the value of (-3 + 31) + (-2+31)?
Answer:
57
Step-by-step explanation:
31-3=28
31-2=29
28+29=57
what percentage of 7 1/2 is 2 1/2
Answer:
7+½ = (7*2+(1))/2=15/2
Step-by-step explanation:
2+½ =5/2 and. (15/2)/(5/2)=3. this means %33.3333
In an experiment, equal amounts of heated water and soil were left to cool down. The initial and final temperatures of each were recorded. A partial record of the temperature is shown. Experimental Record Substance Initial Temperature Final Temperature Water 27 °C 24 °C Soil 27 °C ? Which statement about the final temperature of soil is correct? (3 points) It will be less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.
Answer:less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.
Step-by-step explanation:
less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.
Find the difference quotient of f; that is, find f(x+h)-f(x) , h ≠ 0 for the following function
f (x)=6x+8
f(x+h)-f (x)/h =
Paige and her family went to the movies. They bought 4 tickets and paid $12 for popcorn. They spent $40. How much did each ticket cost?
I need equation and cost :)
Answer:
Cost of tickets: $7. Equation: 40 = 4x + 12.
Step-by-step explanation:
Answer:
4*t +12 = 40
Each ticket cost 7 dollars
Step-by-step explanation:
tickets + popcorn = total cost
4*t +12 = 40
Subtract 12 from each side
4t +12-12 = 40-12
4t = 28
Divide by 4
4t/4 = 28/4
t = 7
Each ticket cost 7 dollars
Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation. (PLZ HELP DUE SOON I GIVE BRAINLIST :D)
Answer:
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
Tanθ=Opposite/Adjacent
we have the adjacent side but need the oppsoite
We will use a²+b²=c²
25²=7²+b²
576=b²
b=24
Therefore the answer is
[tex]\frac{24}{7}[/tex]
If f(x) = - 2x +5 and g(x)=x2-1, then f(-3)+g(2) =
Answer:
[tex]{ \tt{f(x) = - 2x + 5}} \\ { \boxed{ \bf{f( - 3) = - 2( - 3) + 5 = 11}}} \\ \\ { \tt{g(x) = {x}^{2} - 1}} \\ { \boxed{ \bf{g(2) = {2}^{2} - 1 = 3}}} \\ f( - 3) + g(2) = 11 + 3 \\ = 14[/tex]
please help show steps thx
Answer:
1) P = 282m, A = 141m^2
2) P = 82.4in, A = 40in^2
3) P = 62.7m, A = 73.1m^2
Step-by-step explanation:
1) top:L=12m, W=3m, mid: l= 12m, w= 12-7 = 5m, bot: l=15m, w=3m
Perimeter= 2(lw)
P = 2(12x3) + 2(12x5) + 2(15x3)
P = 2(36) + 2(60) + 2(45)
P = 72 + 120 + 90
P = 282m
Area= lw
A = (12x3) + (12x5) + (15x3)
A = 36 + 60 + 45
A = 141m^2
2) Rectangle:l=7in, w=5in, Right Triangle:a=5-3=2in, b=12-7=5in
Perimeter= 2(lw) + (a+b+sqrt(a^2+b^2))
P = 2(7x5) + (2+5+sqrt(2^2+5^2))
P = 70 + 12.39
P = 82.4in
Area= lw + ((ab)/2)
A = (7x5) + ((2x5)/2)
A = 35 + 5
A = 40in^2
3) Semi-Circle: d=8m, r=8/2=4m, Right Triangle: a=8m, b=12m
Perimeter= pid + (a+b+sqrt(a^2+b^2))
P = 9pi + (8+12+sqrt(8^2+12^2))
P = 28.27 + 34.42
P = 62.7m
Area= (1/2)pir^2 + ((ab)/2)
A = (1/2)pir^2 + ((ab)/2)
A = (1/2)pi(4)^2 + ((8x12)/2)
A = 25.13 + 48
A = 73.1m^2
[tex] {x}^{2} + 2x = 0[/tex]
Answer:
[tex]\textbf{Hello!}[/tex]
[tex]\Longrightarrow2^2+2z=0[/tex]
[tex]\Longrightarrow x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \:0}}{2\cdot \:1}[/tex]
[tex]\Longrightarrow \sqrt{2^2-4\cdot \:1\cdot \:0}[/tex]
[tex]\Longrightarrow =\sqrt{2^2-0}[/tex]
[tex]\Longrightarrow =\sqrt{2^2}[/tex]
[tex]\Longrightarrow=2[/tex]
[tex]\Longrightarrow x_{1,\:2}=\frac{-2\pm \:2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow x_1=\frac{-2+2}{2\cdot \:1},\:x_2=\frac{-2-2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow\frac{-2+2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{0}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{0}{2}[/tex]
[tex]=0[/tex]
[tex]\Longrightarrow\frac{-2-2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{-4}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{-4}{2}[/tex]
[tex]\Longrightarrow =-\frac{4}{2}[/tex]
[tex]=-2[/tex]
[tex]x=0,\:x=-2\Longleftarrow[/tex]
[tex]\underline{HOPE ~IT~HELPS}[/tex]
PLEASE HELP!
Determine which of the following lists is in order from smallest to largest.
1. -3,131,0, (-3)^2
2. (-3)^2,-3,0, |3|
3. -3,0,|3|, (-3)^2
4. 0,-3,|3|, (-3)^2
Answer:
3. -3,0,|3|, (-3)^2
Step-by-step explanation:
Answer:
answer would be option 3
Step-by-step explanation:
help this helps
differentiate loge(x/x^2+7)
Answer:
1+1=11 2+2=22 ok na yan kuya or ate
25 POINTS!!!!!!
Which is true about the solution to the system of inequalities shown? y<1/3x-1
Answer:
All values that satisfy [tex]y[/tex] ≤ [tex]\frac{1}{3} x-3[/tex] are solutions
Step-by-step explanation:
The reason why the other equations solutions aren't solutions are because it doesn't satisfy the second equation, but the second equation satisfy both equations because the solutions of the second equations will be in both equations.
Hope this helps
(View attachment)
a) Write ordered pairs.
b) Write the domain and range.
c) Why isn't the relation a function?
d) Which ordered pair should be removed to make the relation a function?
Answer:
in a relationship that maps elements from one set (the inputs) into elements from another set (the outputs), the usual notation for the ordered pairs is:
(x, y), where x is the input and y is the output.
In this case, the point where the arrow starts is the input, and where the arrow ends is the output.
a)
The ordered pairs are:
(28, 93)
(17, 126)
(52, 187)
(34, 108)
(34, 187)
b) The domain is the set of the inputs, in this case the domain is the set where all the arrows start, then the domain is:
{17, 28, 34, 52}
And the range is the set of the outputs, in this case the range is:
{93, 108, 126, 187}
c) A function is a relationship where the elements from the domain, the inputs, can be mapped into only one element from the range.
In this case, we can see that the input {34} is being mapped into two different outputs, then this is not a function.
d) We can remove one of the two ordered pairs where the input is {34},
So for example, we could remove:
(34, 108)
And then the relation would be a function.
if the bookstore pays $60 to the publisher what will be the selling price?
Answer:
This means that, when the price of a book from a publisher is $60, the bookstore will sell it for $88 to the students.
Which of the following theorems verifies that DEF = XYZ?
Answer:
AA
Step-by-step explanation:
HL = requires actual measurements of sides
LL = There are no measurements for the legs
HL = There are no measurements for the legs or hypotenuse
HA = Doesn't exist
The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.
A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).
Which statement is true?
It took Michelle 6 hours to complete the trip.
For each hour that Michelle drove, she traveled an additional 50 miles.
In the first 6 hours, Michelle had traveled a total of 50 miles.
In the first 3 hours, Michelle had traveled a total of 200 mile\
Answer:
(b) For each hour that Michelle drove, she traveled an additional 50 miles.
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0,350)[/tex] ---- start
[tex](x_2,y_2) = (7,0)[/tex] --- end
Required
Which is true
(a): Journey = 6 hours
This is false, because:
[tex]x = x_2 - x_1[/tex]
[tex]x = 7-0[/tex]
[tex]x = 7[/tex] ---- 7 hours
(b): The average rate is 50 miles per hour
To do this, we calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2- x_1}[/tex]
[tex]m = \frac{0 - 350}{7-0}[/tex]
[tex]m = -\frac{350}{7}[/tex]
[tex]m = -50[/tex]
This means that the rate is 50 miles driven in 1 hour.
(b) is correct
Others are incorrect
Answer:
B
Step-by-step explanation:
I did it
which equation is the inverse of 5y+4=(×+3)^2+1/2?
Answer:
The inverse is -3 ±sqrt(5x+7/2)
Step-by-step explanation:
5y+4=(x+3)^2+1/2?
To find the inverse, exchange x and y
5x+4=(y+3)^2+1/2
Solve for y
Subtract 1/2
5x+4 -1/2=(y+3)^2+1/2-1/2
5x+8/2 -1/2=(y+3)^2+1/2-1/2
5x+7/2 = (y+3)^2
Take the square root of each side
±sqrt(5x+7/2) =sqrt( (y+3)^2)
±sqrt(5x+7/2) = (y+3)
Subtract 3 from each side
-3 ±sqrt(5x+7/2) = y+3-3
-3 ±sqrt(5x+7/2) = y
The inverse is -3 ±sqrt(5x+7/2)
Find the area of the figure below (Do Not put the units in your answer)
Answer:
54
Step-by-step explanation:
Area of rhombus= (12×9) ÷2
Help find instantaneous rate of change :)!
=========================================================
Explanation:
Let's say that point A is at (0,0) and B is somewhere else on the parabola.
I'll make point B go to the right of point A.
For now, let's say B is at (4,16).
If we compute the slope of line AB, then we find the average rate of change (AROC). The AROC in this case is (y2-y1)/(x2-x1) = (16-0)/(4-0) = 16/4 = 4. Because point A is at (0,0), we're really just computing y/x where the x,y values come directly from point B.
--------------
Now let's move B to (3,9). If we used the slope formula again, we would get the slope of 3. Note how y/x = 9/3 = 3.
Then let's move B to (2,4). The AROC is now y/x = 4/2 = 2
As B gets closer to A, the AROC is decreasing. The AROC is slowly approaching the IROC (instantaneous rate of change).
--------------
Point B is generally located at (x,x^2) for any real number x. Keeping A always fixed at the origin, the slope of line AB is y/x = (x^2)/x = x.
What does this all mean? It means that if x = 0, then the IROC is 0. You might be quick to notice that we cannot divide by zero. So instead of letting x be zero itself, we'll just get closer and closer to it. This is where the concept of limits come into use. This is what calculus is based on (both integral and differential calculus).
Anyway, when calculating the IROC, we're really calculating the slope of the tangent line to the f(x) curve. Refer to the diagram below.
----------------
In short, the slope of the tangent line at x = 0 is m = 0. We have a flat horizontal line that touches the parabola at (0,0).
Which linear inequality is represented by the graph?
O y < 3x + 2
Oy> 3x + 2
Oy< 1/3x + 2
O y>1/3x+2
Answer:
[tex]y> 3x + 2[/tex]
Step-by-step explanation:
Hope it is helpful....
The linear inequality that represents the given graph is y > 3x + 2.
The solutions to the graph of the inequalities is given as;
(x, y) = (0, 2)
(x, y) = (-3, -7)
To determine the inequality represented in the graph;
Using option A, when x = 0, y < 2 (this is not same as the graph)Using option B, when x = 0, y > 2 ( same as the graph)Using option B, when x = -3, y > -7Thus, the linear inequality that represents the given graph is y > 3x + 2.
Learn more about graphs of linear inequality here: https://brainly.com/question/371134
Gasoline sells for 1.3 euros per liter. What is the price in US dollars per gallon? (recall that 1 gal = 3.785 L)
British pound is 1.212 to 0.8251 USD
4.67 $/gal is the price of gasoline.
Step-by-step explanation:
Given:
Price of gasoline = 1.3 €/L
1 gallon is equals to 3.785 Liters
1 euros is equals to 0.9497 US dollars
To find:
The price of gasoline in US dollars per gallon
Solution:
Price of the gasoline = 1.3 €/L
[tex]1 gal = 3.785 L\\1L=\frac{1}{3.785} gal\\ 1.3 euro /L=\frac{1.3 euro }{\frac{1}{3.785 }gal}\\=\frac{1.3 euro \times 3.785 }{1 gal}=4.9205 euro /gal[/tex]
Now convert euros to US dollars by using :
1 euros = 0.9497 $
The price of gasoline in US dollar per gallons:
[tex]4.9205 euro/gal=4.9205 \times 0.9497 \$/gal\\=4.6730 \$/gal\approx 4.67 \$/gal[/tex]
4.67 $/gal is the price of gasoline.
Learn more about conversions:
brainly.com/question/13076223
brainly.com/question/2904463?referrer=searchResults
3 3/4 × 2 2/9 please
Help ♀️♀️♀️
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 8 \frac{1}{3}\:(or) \:8.333}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex]3 \frac{3}{4} \times 2 \frac{2}{9} [/tex]
➺[tex] \: \frac{15}{4} \times \frac{20}{9} [/tex]
➺[tex] \: \frac{300}{36} [/tex]
➺[tex] \: \frac{25}{3} [/tex]
➺[tex] \: 8 \frac{1}{3} [/tex]
➺[tex] \: 8.333[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\orange{❦}}}}}[/tex]
Assume that Z has a standard normal distribution. Determine the value for z that solves each of the following.
a. P(-z < Z < z) = 0.95 (Round your answer to two decimal places (e.g. 98.76))
b. P(-z < Z < z) = 0.99 (Round your answer to two decimal places (e.g. 98.76))
c. P(-z < Z < z) = 0.68 (Round your answer to three decimal places (e.g. 98.765))
d. P(-z < Z < z) = 0.9973 (Round your answer to two decimal places (e.g. 98.76))
Answer:
a) P ( - 1.96 < Z < 1.96 )
b) P ( - 2.58 < Z < 2.58)
c) P ( -0.995 < Z < 0.995 )
d) P ( - z < Z < z ) = P ( ( Z ± 3σ ) then that is close to 1
Step-by-step explanation:
a) P ( - z < Z < z ) = P ( - 1.96 < Z < 1.96 )
CI = 95 % significance level α = 5 % α = 0.05 α/2 = 0.025
z = 1.96
b) P ( - z < Z < z ) = P ( - 2.58 < Z < 2.58)
CI = 99 % significance level α = 1 % α = 0.01 α/2 = 0.005
z = 2.58
c) P ( - z < Z < z ) = P ( -0.995 < Z < 0.995 )
CI = 68 % significance level α = 32 % α = 0.32 α/2 = 0.16
z ≈ 0.9954
We interpolate in this case
1 ⇒ 0.1587
0.99 ⇒ 0.1611
0.01 ⇒ 0.0024
x ⇒ 0.0013 x = 0.01 *0.0013 / 0.0024
x = 0.005416
and z = 0.99 + 0.005416
z = 0.9954
d) P ( - z < Z < z ) = P ( - 0.00 < Z < 0. 00)
CI = 0.9973 % significance level α = 0.0027 % α = 0.000027 α/2 = 0.0000135
z = 0.00003375 ⇒ z = 0.00
NOTE: The value of α is too small. The Empirical Rule establishes that 99.7 % of all values in a normal distribution fall in the interval ( Z ± 3σ)
that means all the values. Then the probability of finding the random variable between that range is close to 1 and we can not find in tables a number to approximate just with only two decimal places
Please answer the following.
Answer:
[tex] \sqrt{4 \times 5 + \sqrt{4 \times 9} } [/tex]
fill in the blanks the 2 digit largest whole number is______
Help me outtttttttttto
Answer:
,
Step-by-step explanation:
hear is your answer please give me Some thanks
If 82 pages had between 7 and 9 errors, what was the approximate total number of pages in the book?
A: 202 pages
B: 120 pages
C: 68 pages
D: 56 pages
Answer:
120 pages
Step-by-step explanation:
The mean number of error per page = 8 ; Standard deviation = 1
Given that :
82 pages has between 7 and 9 errors per page ;
Using the empirical rule :
7 = 8 - 1 = 1 standard deviation below the mean
9 = 8 + 1 = 1 standard deviation above the mean
1 standard deviation from the mean = 68%
Hence, 82 pages = 68%
Approximate total pages :
68% = 82
100% = total pages, x
0.68 = 82
1 = x
0.68x = 82
x = 82 / 0.68
x = 120.588
Hence, total number of pages is 120 pages
( 0 , -1 ) , ( 1,3)
Which equation is satisfied by BOTH of these pairs of numbers ( x , y ) ?
A. x + y = -1
B. 2x + y = 5
C. 3x - y = 0
D. 4x - y = 1
Answer:
D 4x-y=1
Step-by-step explanation:
4x-y=1. (x=0 ,y= -1)
4(0)-(-1)= 1
0+1= 1
4x-y=1 (x=1 y=3)
4(1)-3=1
4-3=1
A.54 pie cm^3
B.72 pie cm^3
C.126 pie cm^3
D.378 pie cm^3
==========================================================
Explanation:
The radius of each sphere is r = 3
The volume of one sphere is
V = (4/3)*pi*r^3
V = (4/3)*pi*3^3
V = 36pi
That's the volume of one sphere.
Three spheres take up 3*36pi = 108pi cm^3 of space.
---------------------------
The radius of the cylinder is also r = 3, since each tennis ball fits perfectly in the container.
The height is h = 18 because we have each ball with a diameter 6, which leads to the three of them stacking to 3*6 = 18.
The volume of the cylinder is...
V = pi*r^2*h
V = pi*3^2*18
V = 162pi
-------------------------
Subtract the volume of the cylinder and the combined volume of the spheres: 162pi - 108pi = (162-108)pi = 54pi
This is the exact volume of empty space inside the can.
This points to choice A as the final answer
I NEEEEED HELP!!!!!!
