What is the volume of the prism?
227.0 cubic inches
169.1 cubic inches
177.9 cubic inches
157.5 cubic inches
Answer:
B. 169.1 cubic inches
Step-by-step explanation:
Volume of the prism = base area × height
Base area = s²
Where,
s = 5.4 in.
Base area = 5.4²
Base area = 29.16 in.²
height = 5.8 in.
Volume of the prism = 29.16 × 5.8
= 169.128
≈ 169.1 cubic inches (to nearest tenth)
Find the shortest distance from
A to B in the diagram below.
Shortest distance = Displacement
And please provide the diagram
Must click thanks and mark brainliest
Write a linear equation representing the information shown in the table.
A) y = 2x + 10
B) y = –2x + 10
C) y = 10x – 2
D) y = 10x + 2
Answer:
b
Step-by-step explanation:
y=-2x+10
y=-2×0+10 y=10
y=-2×1+10 y=8
y=-2×2+10 y=6
y=-2×3+10 y=4
Answer: B. y = –2x + 10
Step-by-step explanation:
find the exact value of tan(165°) using a difference of two angles
Answer: [tex]-2+\sqrt{3}[/tex]
=========================================================
Work Shown:
Apply the following trig identity
[tex]\tan(A - B) = \frac{\tan(A)-\tan(B)}{1+\tan(A)*\tan(B)}\\\\\tan(225 - 60) = \frac{\tan(225)-\tan(60)}{1+\tan(225)*\tan(60)}\\\\\tan(165) = \frac{1-\sqrt{3}}{1+1*\sqrt{3}}\\\\\tan(165) = \frac{1-\sqrt{3}}{1+\sqrt{3}}\\\\[/tex]
Now let's rationalize the denominator
[tex]\tan(165) = \frac{1-\sqrt{3}}{1+\sqrt{3}}\\\\\tan(165) = \frac{(1-\sqrt{3})(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\\tan(165) = \frac{(1-\sqrt{3})^2}{(1)^2-(\sqrt{3})^2}\\\\\tan(165) = \frac{(1)^2-2*1*\sqrt{3}+(\sqrt{3})^2}{(1)^2-(\sqrt{3})^2}\\\\\tan(165) = \frac{1-2\sqrt{3}+3}{1-3}\\\\\tan(165) = \frac{4-2\sqrt{3}}{-2}\\\\\tan(165) = -2+\sqrt{3}\\\\[/tex]
----------------------
As confirmation, you can use the idea that if x = y, then x-y = 0. We'll have x = tan(165) and y = -2+sqrt(3). When computing x-y, your calculator should get fairly close to 0, if not get 0 itself.
Or you can note how
[tex]\tan(165) \approx -0.267949\\\\-2+\sqrt{3} \approx -0.267949[/tex]
which helps us see that they are the same thing.
Further confirmation comes from WolframAlpha (see attached image). They decided to write the answer as [tex]\sqrt{3}-2[/tex] but it's the same as above.
A runner’s distribution of times for running 1,000 meters has a mean of 4.5 minutes with a standard deviation of 0.75 minutes. One of the runner’s times has a z-score of –1.08. Which of the following statements is the best interpretation of this z-score?
This runner’s time was faster than the mean time by 0.75 standard deviations.
This runner’s time was faster than the mean time by 1.08 standard deviations.
This runner’s time was slower than the mean time by 0.75 standard deviations.
This runner’s time was slower than the mean time by 1.08 standard deviations.
Answer:
I believe it is (C).
This runner’s time was slower than the mean time by 0.75 standard deviations.
ED2021
Answer:
B) This runner’s time was faster than the mean time by 1.08 standard deviations.
Step-by-step explanation:
The runner is FASTER because of the negative z score
Does the function f(x) = (0.68)^x represent exponential growth, decay, or neither?
Answer:
The function is always Decreasing
Step-by-step explanation:
By graphing the polyminal in order to determine the intervals over which it is increasing or decreasing we find that it always decreasing.
What's the distance between the points (7,3) and (7,–8)?
Answer:
11
Step-by-step explanation:
The distance is found by
d =sqrt ( (x2-x1)^2 + (y2-y1)^2)
= sqrt( ( 7-7)^2 +(3 - -8)^2)
= sqrt(0 +(3+8)^2)
= sqrt( 11^2)
= 11
Help?! Please! Thank you!!!!!!!
Write the inequality shown in this graph.
Answer:
y > -1/2 x + 4
Step-by-step explanation:
Equation of a line : (y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-4)/(2-4)= (x-0)/(4-0)
(y-4)/-2 = x/4
(-y+4)/2 = x/4
-y+4 = 1/2 x
-y = 1/2 x - 4
y = -1/2 x + 4
the solutions of the inequality are the points above this line, so
y > -1/2 x + 4
please help i need this by tonight
Answer:
The measure of ∠1 and ∠2 is 105° and 75° respectively
Step-by-step explanation:
In the given figure, line a is parallel to line b.
We need to find the measure of angles 1 and 2.
∠2 = 75° (because they form corresponding angles)
We know that, interior angles add up to 180. So,
∠1 +75 = 180
∠1 = 180-75
∠1 = 105°
So, the measure of ∠1 and ∠2 is 105° and 75° respectively.
a display order of numbers are called
Answer:
I think
A display order of numbers are called sequences.
A train traveling at 30 miles per hour reaches a tunnel which is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, how long is the train? (1 mile = 5,280ft)
how do you change 79/8 to a decimal
Answer:
Divide 79 by 8
Step-by-step explanation:
79/8
= 9.875
*20 points*
What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles, 14 red marbles, and 15 green marbles if the first marble is not replaced?
a. 192/1,849
b. 18/43
c. 21/205
Answer:
c: 21/205
Step-by-step explanation:
The probability of choosing a yellow marble first is 12/41 bc there are 12 yellow marbles and 41 marbles to choose from.
The probability of choosing a red marble is 14/40 bc there are 14 red marbles and 40 marbles to choose from( since you have removed the marble you first chose so there are 40 marbles left).
Multiplying these two together, 12/41 * 14/40 = 168/1640, simplified it's 21/205.
linear relation between c and n
Why is this? It's because each time x goes up by 2, y is also increasing by 2. The rate of change is constant. I'm treating n as x, and C as y.
Another way to see why we have a linear function is to pick any two points from that table, and apply the slope formula
m = (y2-y1)/(x2-x1)
You should find that no matter which two rows you pick, you should get a slope of 1.
Lastly, you can plot the three points from the table to find they all are on the same straight line as shown below. So there are at least 3 different ways to justify choice B as the answer.
Side note: The equation of the line is y = x-7, which then translates over to C = n-7.
Which power does this expression simplify to?
[(7)(7)
1
- -
ооо
74
O
Step-by-step explanation:
Answer is in attached image...
hope it helps
Answer:
its a
Step-by-step explanation:
just did it
Find the dy/dx from
y=3×^2+5×^4 -10
Solve for the value of x
Answer:
Step-by-step explanation:
This is the Law of Cosines. Use the following formula:
[tex]5.1^2=3.3^2+3.3^2-2(3.3)(3.3)cos(x)[/tex] and simplify to
26.01 = 10.89 + 10.89 - 21.78cos(x) and a bit more to
4.23 = -21.78cos(x) and finally to
-.194214876 = cos(x) and use the 2nd button along with the cos button to find that the missing angle is 101.2 degrees
Find the function G defined by G(x) =5x+3 find G(-1)
Answer:
G(-1) = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
G(x) = 5x + 3
Step 2: Evaluate
Substitute in x [Function G(x)]: G(-1) = 5(-1) + 3Multiply: G(-1) = -5 + 3Add: G(-1) = -2Answer:
G = -2
Step-by-step explanation:
Plug in -1 for x.
5(-1) + 3
-5 + 3
-2
G = -2
Solve this equation for x. Round your answer to the nearest hundredth.
8 = In(x + 3)
Answer:
2977.96 =x
Step-by-step explanation:
8 = In(x + 3)
Raise each side to the base of e
e^8 = e^ ln(x+3)
e^8 = x+3
Subtract 3 from each side
e^8 -3 = x+3-3
e^8 -3= x
2977.95798 = x
Rounding to the nearest hundredth
2977.96 =x
Answer:
[tex]\displaystyle x = 2977.96[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Natural logarithms ln and Euler's number eStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 8 = ln(x + 3)[/tex]
Step 2: Solve for x
[Equality Properties] e both sides: [tex]\displaystyle e^8 = e^{ln(x + 3)}[/tex]Simplify: [tex]\displaystyle x + 3 = e^8[/tex][Equality Property] Subtract 3 on both sides: [tex]\displaystyle x = e^8 - 3[/tex]Evaluate: [tex]\displaystyle x = 2977.96[/tex]HELP PLEASE! INEEED HELPPP RIGHT NOW The graph of y=x−2−−−−√ is is transformed to become y=x+3−−−−√−2. Which of the following statements best describes the effect this transformation has on the graph of y=x−−√?
Answer:
I think it's D but I don't know how to do this, but I ask my Friend and he gave me this graph I hope it helps.
Option (C) the graph is translated 5 units left and 2 units down is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The function is [tex]y=\sqrt{x-2}[/tex]
This function is transformed to become the function as [tex]y=\sqrt{x+3}-2[/tex]
Now compare this transformation with the function [tex]y=\sqrt{x}[/tex].
These functions are plotted in the graph below.
On comparing this transformation,
The graph is translated 5 units left and 2 units down.
Hence we can conclude that option (C) the graph is translated 5 units left and 2 units down is the correct answer.
Learn more about graph of a function here
https://brainly.com/question/2275360
#SPJ2
The number of cubic feet of water in a curved container can be approximated by V=0.95h^2.9 find the amount of water in the container when h=8 feet round to the nearest tenth
Answer choices:
A. 0.9
B. 358.4
C. 395.1
D. 314.9
Answer:
C. 395.1
Step-by-step explanation:
Substitute the value for x:
[tex]V=0.95(8)^{2.9}\\V=395.1[/tex]
Write A linear equation in standard form the passes through the points (4,-2) and (2,6)
Answer:
Step-by-step explanation:
4 x + y =
14
In a model, a submarine is located at point (0, 0) on the coordinate plane. The submarine’s radar range has an equation of 2x2 + 2y2 = 128
Draw the figure on a graph and label the location of the submarine. Make sure your name is on the paper, and label this activity Part 2.
Can the submarine’s radar detect a ship located at the point (6, 6) ? Mark that location on your graph, and explain how you know whether or not the ship will be detected in the space provided on the Circles Portfolio Worksheet.
Answer:
Remember that for a circle centered in the point (a, b) and with a radius R, the equation is:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the submarine is located at the point (0, 0)
And the radar range has the equation:
2*x^2 + 2*y^2 = 128
You can see that this seems like a circle equation.
If we divide both sides by 2, we get:
x^2 + y^2 = 128/2
x^2 + y^2 = 64 = 8^2
This is the equation for a circle centered in the point (0, 0) (which is the position of the submarine) of radius R = 8 units.
The graph can be seen below, this is just a circle of radius 8.
We also want to see if the submarine's radar can detect a ship located in the point (6, 6)
In the graph, this point is graphed, and you can see that it is outside the circle.
This means that it is outside the range of the radar, thus the radar can not detect the ship.
What is the shape of the cross section?
Answer:
Step-by-step explanation:
Triangular cross-section.
Answer:
it is a triangle cross-section
hope this answer helps you
Plz make me a brainlist
Express 8:28 in its simplest form
If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must the long piece be? If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must the long piece be
Answer:
24feet
Step-by-step explanation:
the first rope well give it letter X and the longer rope we'll give it 2x since it's twice then we add the two unknown numbers which must lead to a total of 36feet when we add the unknown digits we'll get 3x then simply the unknown digit with the total and u'll get 12 replace the X from the first letters with 12by multiplying
If you have a volume of 366,514 cm, how many ft does that make? Round to 1 decimal.
Answer:
12024.7
Step-by-step explanation:
Searched it up.
then rounded
Determine the input that would give an output value of 2/3
==========================================
Explanation:
The steps you have so far are correct. You just need to multiply both sides by -3
Doing so will clear out the fractions and you'll be left with 19 = x, which is the same as x = 19
Let's check that answer:
[tex]y = -\frac{1}{3}x + 7\\\\y = -\frac{1}{3}*19 + 7\\\\y = \frac{-19}{3} + 7*\frac{3}{3}\\\\y = \frac{-19}{3} + \frac{21}{3}\\\\y = \frac{-19+21}{3}\\\\y = \frac{2}{3}\\\\[/tex]
So the answer is confirmed.
How many times will the digit "3" appear if we write all whole numbers from 1-9999?
Answer:
4000
Step-by-step explanation:
from 1 - 1000 = 300
1's = 100
10's = 100
100's = 100
1000's = 0
300 * 10 = 3000
then add in all the 3000's (ie 3001,3002, etc ) that adds one more thousand
3000 + 1000 = 4000
Answer:
3000?
Step-by-step explanation: