Answer:
3/6 or 1/2
Step-by-step explanation:
3 of the blocks are blue out of 6 blocks. Therefore 3/6.
100,000,000, + 500,000,000 equals
700,000,000
y a i ta
Step-by-step explanation:
100,000,000 + 500,000,000 = 600,000,000
uhhhhh help lol find angle
Answer:
129°
Step-by-step explanation:
51+51 =102
360-102=258
258÷2=129
:)
Find the equation of the line perpendicular line displayed below that passes through the point (-3,2). Explain your process. Express your answer in point-slope form
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Answer:
y -2 = 1/4(x +3)
Step-by-step explanation:
Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.
__
The slope of the given line can be found as the ratio of rise to run between the marked points.
m = rise/run = -8/2 = -4 . . . . counting grid squares
The desired line has a slope that is the opposite reciprocal of this:
m' = -1/m = -1/-4 = 1/4
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Then the desired line with slope 1/4 through point (-3, 2) has equation ...
y -2 = 1/4(x +3)
Compute the expected theoretical probability of getting a 6 when you roll a dice once. Explain your answer
g(x)=−3x−4, find g ( 5 ) g(5).
Answer:
-19
Step-by-step explanation:
g(x)=−3x−4
Let x = 5
g(5)=−3*5−4
Multiply
= -15-4
= -19
[tex]g(x) = - 3x - 4 \\ \\ g(5) = - 3(5) - 4\\ \\ x = - 15 - 4 \\ \\ x = - 19[/tex]
Hope it help you
In the figure, x= ?, y= ?, and z= ?
Answer:
x = 95
y = 147
z = 128
Step-by-step explanation:
x can be found by using the exterior angle triangle theorem, where, when you add the two opposite angles, it equals the measure of the exterior angle. In this case, 50 + 45 = 95.
The same theorem can be used to solve for y. 95 + 52 = 147
We see that angle z is composed of a linear pair, and we have one of the angle values, so just do 180 - 52 and you get 128.
Find the solution set
2(x + 4 = 8
Answer:
x=0
Step-by-step explanation:
0+4=4
4x2=8
it's pretty simple once you get the hang of it
Find the differential of the function w=xsin(2yz^4).
The differential of
[tex]w = x \sin(2yz^4)[/tex]
is
[tex]\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz[/tex]
where the partial derivatives are
[tex]\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)[/tex]
So the differential dw is
[tex]\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz[/tex]
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! NOT A MULTIPLE CHOICE!!!
In a hotel building, the lobby is located at sea-level. The first floor is located 18 feet above the lobby, and the basement is located 22 feet below the lobby.
a. Write an inequality to compare the elevations of the first floor and the basement.
b. What is the distance from the lobby to the basement? Write your answer as an absolute value statement.
c. Which is a greater distance from the lobby: the first or basement? Justify your response.
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Answer:
-22 < 0|-22-0| = 22distance to basement is greaterStep-by-step explanation:
a) If we let B, L, F represent the elevations of the basement, lobby, and first floor, respectively, then we have ...
B = -22
L = 0
F = 18
Your inequality could be either of ...
B < L
-22 < 0
__
b. We're not sure exactly the form you're looking for. Use whichever absolute value statement is appropriate to your needs.
distance = |B -L| = |-22 -0| = |-22| = 22
__
c. The distance from the lobby to the first floor is |18 -0| = 18.
The distance from the lobby to the basement is |-22-0| = 22.
The distance 22 is greater than the distance 18, so the distance to the basement is greater.
_____
Additional comment
The difficulty with this question is not figuring out whether -22 is farther from 0 than is +18. The difficulty is in figuring out the form of the answer that is expected. Without looking at your curriculum materials, we cannot even make an appropriate guess.
A summer camp has 372 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably hold 12 passengers. Then calculate the actual number of vans that will be needed
Answer:
31
Step-by-step explanation:
You divide, 372 divided by 12
the actual number of vans needed is 31 vans to accommodate the entire camp. To estimate the number of vans needed to accommodate the entire camp, we can use the concept of rounding up to the nearest whole number.
The number of vans required will be the total number of campers divided by the capacity of each van (12 passengers), rounded up to the nearest whole number.
Estimate:
Number of vans needed =[tex]\(\frac{372}{12}\)[/tex](rounded up to the nearest whole number)
[tex]\(\frac{372}{12} \approx 31\)[/tex]
So, the estimate suggests that around 31 vans will be needed to accommodate the entire camp.
To calculate the actual number of vans needed, we can use the exact division without rounding up.
Actual number:
Number of vans needed = [tex]\(\frac{372}{12} = 31\)[/tex] vans
Thus, the actual number of vans needed is 31 vans to accommodate the entire camp.
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find value of x from the given figure
A town has received about 49 inches of rainfall each year for the last 122 years. About how many inches of rain is this?
Answer:
5,978 inches
Step-by-step explanation:
you multiply 49 inches of rainfall by how many years it's been doing it for and you get 5,978
Which expression is the best estimate of the product 7/8 and 8 1/10
Answer:567/ 80 or 7(which was rounded to the nearest whole number)
Step-by-step explanation:
8. Find f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
f(x) < g(x)
(2x + 3) < (3x - 2)
3 < x - 2
5 < x
x > 5
Check:
2x + 3 < 3x - 2
2(5) + 3 < 3(5) - 2
10 + 3 < 15 - 2
13 < 13 --- FALSE
2(10) + 3 < 3(10) - 2
20 + 3 < 30 - 2
23 < 28 --- TRUE
Hope this helps!
Answer:
x < 5
Step-by-step explanation:
f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
2x + 3 < 3x - 2
2x - 3x < -2 -3
-x < -5
x > 5
Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for T.
Answer:
188 units cubed
Step-by-step explanation:
If z=(x+y)e^y and x=5t and y=1−t^2, find the following derivative using the chain rule. Enter your answer as a function of t.
dz/dt= ?
By the chain rule, if [tex]z=f(x,y)=f(x(t),y(t))[/tex], then
[tex]\dfrac{\mathrm dz}{\mathrm dt} = \dfrac{\partial f}{\partial x}\dfrac{\mathrm dx}{\mathrm dt} + \dfrac{\partial f}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}[/tex]
We have [tex]f(x,y)=(x+y)e^y[/tex], for which
• [tex]\dfrac{\partial f}{\partial x} = e^y[/tex]
• [tex]\dfrac{\partial f}{\partial y} = e^y + (x+y)e^y = (x+y+1)e^y[/tex]
and [tex]x(t)=5t[/tex] and [tex]y(t)=1-t^2[/tex], so that
• [tex]\dfrac{\mathrm dx}{\mathrm dt} = 5[/tex]
• [tex]\dfrac{\mathrm dy}{\mathrm dt} = -2t[/tex]
Putting everything together, we get
[tex]\dfrac{\mathrm dz}{\mathrm dt} = 5e^y - 2t(x+y+1)e^y \\\\ \dfrac{\mathrm dz}{\mathrm dt} = 5e^{1-t^2} - 2t(5t-t^2+2)e^{1-t^2} = \boxed{\left(2t^3-10t^2-4t+5\right)e^{1-t^2}}[/tex]
The solution of the derivative using the chain rule is [tex]\dfrac{dz}{dt}=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex].
What is the Chain rule?The chain rule explains how to calculate a composite function's derivative.
What is a composite function?If you may write [tex]f(g(x))[/tex] , a function is composite. It's a function within a function, or a function of a function, in other words.
By the chain rule, we can write if [tex]z=f(x,y)=f(x(t),y(t))[/tex], then,
[tex]\dfrac{dz}{dt}=\dfrac{\partial f}{\partial x} \dfrac{dx}{dt}+\dfrac{\partial f}{\partial y} \dfrac{dy}{dt}[/tex]
As it is given to us, [tex]f(x,y)=(x+y)e^y[/tex], therefore, we can write,
[tex]\dfrac{\partial f}{\partial x}=e^y[/tex][tex]\dfrac{\partial f}{\partial y}=e^y+(x+y)e^y=(x+y+1)e^y[/tex]And x(t)=5t, while y(t)=1-t², So,
[tex]\dfrac{dx}{dt}=5[/tex][tex]\dfrac{dy}{dt}=-2t[/tex]Now, Substitute all the values together, in the equation,
[tex]\dfrac{dz}{dt}=\dfrac{\partial f}{\partial x} \dfrac{dx}{dt}+\dfrac{\partial f}{\partial y} \dfrac{dy}{dt}[/tex]
Substituting the values we will get,
[tex]\dfrac{dz}{dt} &=(5 \times e^y)+[-2t(x+y+1)e^y]\\\\[/tex]
[tex]=5e^{1-t^2}-2t(5t-t^2+2)e^{1-t^2}\\\\=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex]
Hence, the solution of the derivative using the chain rule is [tex]\dfrac{dz}{dt}=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex].
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calculate the amount that would remain in an investment account after 3 years if you were to deposit 1500 every month starting today but would withdraw 750 at the end of every 12 month period. interest is 14% compounded monthly
Answer:
58995
Step-by-step explanation:
Write 7,08 x 10" in standard notation
Answer:
70.8
Step-by-step explanation:
7.08×10 is 70.8
...............
Find the equation of a line passing through the point of intersection of line 2x+y-8=0 and 3x-4y=3 and is parallel to line Y=2x-8
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.A t-shirt is on sale for 8% off. The price after the discount is applied is $27.60.
Find the original price of the t-shirt,
Which statement compares the two numbers correctly?
Six hundred seventy-two thousandths ________ 0.8
A. Six hundred seventy-two thousandths < 0.8
B. 0.8 < six hundred seventy-two thousandths
C. Six hundred seventy-two thousandths = 0.8
D. Six hundred seventy-two thousandths > 0.8
Answer:
A
Step-by-step explanation:
Six hundred seventy-two thousandths = 0.672
0.672 < 0.8
A bag contains 15 white balls and 10 black balls,another contains 20 white balls and 15 white balls.if two balls are drawn without replacement from each bag,find the probability that
a)all four are black
b)exactly one of the four are white
Answer:
exactly one of the four are white
Which of the following tables represent functions? If the relation is not a function, indicate why it is not.
Step-by-step explanation:
1. the table on the left is a function, with the formula : y = x²
2. the table on the right is also a function, indicated by the values of the input are different each others
Explain why each non-zero integer has two square roots but only one cube root.
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. The temperatures of eight different plastic spheres.
The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.
An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.
One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.
Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.
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The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 7. Find the probability of observing exactly three accidents on this stretch of road next month.
Select one:
A. 18.147387
B. 2.846161
C. 0.332381
D. 0.052129
Answer:
D
Step-by-step explanation:
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Find the length indicated
please help 10 points for the question i dont know why but my brain cannot compute this question
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Answer:
(b) 6^10/7^6
Step-by-step explanation:
The applicable rules of exponents are ...
(a/b)^c = (a^c)/(b^c)
(a^b)^c = a^(bc)
__
This means you have ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\dfrac{(6^5)^2}{(7^3)^2}=\dfrac{6^{5\cdot2}}{7^{3\cdot2}}=\boxed{\dfrac{6^{10}}{7^6}}[/tex]
__
Additional comment
I find it helpful to remember that an exponent signifies repeated multiplication. Then ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\left(\dfrac{6^5}{7^3}\right)\cdot\left(\dfrac{6^5}{7^3}\right)=\dfrac{6^5\cdot6^5}{7^3\cdot7^3}=\dfrac{6^{5+5}}{7^{3+3}}=\dfrac{6^{10}}{7^6}[/tex]
Find the volume of this figure.
[?] = cubic units
The volume of the given figure us = 36 cubic units
Volume of a rectangular prismThe formula for calculating the volume of rectangular prism is expressed as:
V =lwh
where
l is the length
w is the width
h is the height
T of the given figure is expressed as:
V = 2(3)(5) + 2(3)(1)
V = 30 + 6
V = 36 cubic units
Hence the volume of the given figure is 36 cubic units
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the four vertices of a parallelogram are (3,2) (6,3) (9,6) and (a,B) find a and b
Answer:
(15,8)
Step-by-step explanation:
steps are in the picture above.
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