Answer:
Step-by-step explanation:
y = − 4/5x − 4.
y = 5/4 x - 4
-1 = 5/4(-4) + b
-1 = -5 + b
b = 4
y = 5/4 x + 4
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answer:
I need the labels (Height , Width, Length)
Step-by-step explanation:
You randomly select two poker chips from a bag containing 7 poker chips: 4 red, 1 blue, 1 green, and 1 white. Consider the following events:
Event A: You select a green poker chip
Event B: You select a white poker chip.
Determine whether the following statement is True or False: Events A and B are statistically independent.
Answer:
P[You select a green poker chip] = 1/7
P[You select a white poker chip] = 1/7
Step-by-step explanation:
Given:
Number of chips beg contain = 7 chips
Number of red chips = 4 chips
Number of blue chips = 1 chips
Number of green chips = 1 chips
Number of white chips = 1 chips
Find:
Event A: You select a green poker chip
Event B: You select a white poker chip
Computation:
P[You select a green poker chip] = Number of green chips / Number of chips beg contain
P[You select a green poker chip] = 1/7
P[You select a white poker chip] = Number of white chips / Number of chips beg contain
P[You select a white poker chip] = 1/7
Which of the following shows an element of the sample space for first
tossing a coin and then rolling a number cube?
Chau is going to the airport. It is 5:46 p.m. right now. Chau Flight will depart and 3 hours 41 minutes what is the departure time of his flight
The point P lies on the unit circle, making an angle of measure theta with the positive x-axis.
Use the cosine and sine functions to express the exact coordinates of P in terms of angle theta
Answer:
[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]
Step-by-step explanation:
[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]
The x-coordinate will be cosθ and the y-coordinate will be sinθ.
What are polar coordinates?Polar coordinates are a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point called the pole and an angle from a fixed direction called the polar axis.
The distance from the pole is called the radial coordinate or radius, denoted by "r", and the angle is called the angular coordinate or polar angle, denoted by "θ".
Polar coordinates are often used in situations where the Cartesian coordinates (x, y) are not convenient, such as in polar graphs, 3D coordinate systems, and certain physics and engineering applications.
For the point P, the coordinates will be,
x-coordinate: cosθ
y-coordinate: sinθ
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A triangular prism has a base length of 1.5 centimeters, a base height of 3 centimeters, and a height of 12 centimeters.
Question 1
Part A
Find the volume of the prism.
Enter the correct answer in the box.
Answer:
V=[tex]27 cm^{3} \\[/tex]
Step-by-step explanation:
[tex]Area -of-triangle=\frac{1}{2} \times base\times height=0.5\times1.5\times 3=2.25cm^{2} \\Vol=Area\times height= 2.25\times 12=27 cm^{3} \\[/tex]
Answer:
Part A: 108
Part B: 24.
Step-by-step explanation:
Explanation: The formula for volume of a prism is V=Bh. (B is base area and H is height). The information doesn't provide base area so you need to find base area. The formula for base area is 1/2 x base side x height, so 1/2 x 1.5 x 12 = 9. (This is the formula for triangular prism.) Now do the volume formula; 9 x 12 = 108. Now for part B: Divide the volume by the base area. 108 / 4 1/2 = 24. So the answer for A is 108 and for B it's 24. Check your answer: 4 1/2 x 24 = 108.
Sorry if it's wrong. Have a good day!
Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.
Simplify your answer as much as possible.
HELP ASAP PLEASE
9514 1404 393
Answer:
-4
Step-by-step explanation:
The points at the ends of the interval are ...
(3, f(3)) = (3, 8)
(6, f(6)) = (6, -4)
The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -8)/(6 -3) = -12/3 = -4
The average rate of change is -4.
help me I got 25 missing assignments
[tex]\sf\purple{10}[/tex] ✅
Step-by-step explanation:
[tex]35 \times \frac{2}{7} \\ = \frac{35 \times 2}{7} \\ = \frac{70}{7} \\ = 10[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Answer:
10
Step-by-step explanation:
see the image below:)
Keenan is playing darts. So far, he has hit the bullseye 2 times and missed the bullseye 8 times. Considering this data, how many bullseyes would you expect Keenan to get during his next 20 tosses?
Answer:
4 times
Step-by-step explanation:
First you take the number of times and divide them by the number of times he attempted it. (2)/(8+2) or 1/5. Then you set up an inequality which would look like this. x/20=1/5 then you will cross multiply them to get this equation 5x=20. then you solve for x and you would get x=4. So you can expect him to hit four bullseyes in the next 20 attempts.
please help. is due today. Thank you
Answer:
Step-by-step explanation:
take 22 degree as reference angle
using cos rule
cos 22=adjacent/hypotenuse
0.92=56/x
x=56/0.92
x=60.86
x=60.9
What is the explicit formula of the geometric sequence? 5,-15,45,-135
Answer:
Tn=a(-3)^(n-1)
where a is first term and n is number of terms
Step-by-step explanation:
r=-3
Which function, g or h, is the inverse function for function f?
Answer:
first option
imagine the line y = x as a mirror
Answer:
The answer is A. "the function h because the graphs of ƒ and h are symmetrical about the line y = x"
please help!!!!!!!!!!
Answer:
y - 2 = 0
Step-by-step explanation:
find slope first:
(2-2)/(5+1) = 0/6 or 0
now use 'y=mx+b' to find the y-intercept (the 'b'):
2 = 0(5) + b
2 = b
so, in slope-intercept form, the equation is:
y = 2
but, in standard form, the equation is:
y - 2 = 0
Jessica bought a ticket to a football game for 17.50. The tax on the ticket was 1.44. She paid with a $50 bill. How much change did Jessica receive?
Answer:
31.06
Step-by-step explanation:
Ticket costs: 17.50+1.44=18.94
Change received: 50-18.94=31.06
Point m is located at 4,-2 what is located 2 units for point m
Answer:
None
Step-by-step explanation:
Given
[tex]m = (4,-2)[/tex]
Required
Point 2 units from m
There are 4 possible points 2 units from m and they are:
[tex]m' = (4+2,-2) = (6,-2)[/tex]
[tex]m" = (4,-2+2) = (4,0)[/tex]
[tex]m'''= (4-2,-2) = (2,-2)[/tex]
[tex]m'''' = (4,-2-2) = (4,-4)[/tex]
From the graph, we have:
[tex]A = (4,2)[/tex]
[tex]B = (-4,2)[/tex]
[tex]C = (2,-3)[/tex]
None of the points is 2 units from m
Point m is located at (4,-2), then point C is located approximately 2 units from point m.
A point in a graph is its location denoted using x and y axis.
Given the following information:
Coordinates of point m=(4,-2)
Coordinates of point A=(4,2)
Coordinates of point B=(-4,2)
Coordinates of point C=(2,-3)
Formula used to find distance between two points say (x1,y1) and (x2,y2) is
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
D1 distance between m and A is
[tex]D_1=\sqrt{(4-4)^2+(2+2)^2}\\D_1=4[/tex]
D2 distance between m and B is
[tex]D_2=\sqrt{(-4-4)^2+(2+2)^2}\\D_2=4\sqrt5[/tex]
D3 distance between m and C is
[tex]D_3=\sqrt{(2-4)^2+(-3+2)^2}\\D_3=\sqrt5\\D_3=2.2\\[/tex]
D3 is approximately equivalent to 2 not exactly 2.
Thus, point C is approximately at 2 units from m.
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Which expression is equivalent to (9.5 x 10^5) - 23,000 please help?
Your answer is 9.27 x 10^5
click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Multiply or divide as indicated.
p³ • p ² • p
Given:
The expression is:
[tex]p^3\cdot p^2\cdot p[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]p^3\cdot p^2\cdot p[/tex]
According to the product property of exponents,
[tex]a^m\cdot a^n=a^{m+n}[/tex]
Using the product property of exponents, we get
[tex]p^3\cdot p^2\cdot p=p^{3+2+1}[/tex]
[tex]p^3\cdot p^2\cdot p=p^{6}[/tex]
Therefore, the value of given expression is [tex]p^6[/tex].
Use a matrix to solve the system:
3x + 2y – z = 17
x - 2y - 4z = 5
2x + y + 2z = 5
Hello
Answer un excel file
[tex]\left[\begin{array}{ccc}3&2&-1\\1&-2&-4\\2&1&2\end{array}\right] *\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}17\\5\\5\\\end{array}\right][/tex]
Gaussian 's method
x=3
y=3
z=-2
Abdallah noticed that if he takes the opposite of his age and adds 40, he gets the number 28.
Ali wants to know Abdallah's age. He wrote the equation -x + 40 = 28 And he got his age as 68.
What was Ali's mistake? how old is Abdallah?
Please solve neatly and show steps.
The equation is correct. He did mistake is calculation. The correct calculation is:
-x + 40 = 28
=> 40 = 28 + x
=> 40 - 28 = x
=> 12 = x
An airplane ticket has an area of 119 square centimeters. Its perimeter is 48 centimeters. What are the dimensions of the ticket?
Answer:
17cm ×7cm
Step-by-step explanation:
Assuming that the airplane ticket is a rectangle,
let the length and the breadth of the ticket be L cm and B cm respectively.
LB= 119 -----(1)
2(L +B)= 48
L +B= 48 ÷2
L +B= 24 -----(2)
From (2):
L= 24 -B -----(3)
Substitute (3) into (1):
B(24 -B)= 119
24B -B²= 119 (expand)
B² -24B +119= 0
(B -17)(B -7)= 0 (factorise)
B -17= 0 or B -7= 0
B= 17 or B= 7
Substitute the values of B into (3):
L= 24 -17 or L= 24 -7
L= 7 or L= 17
∴ The dimensions of the airplane ticket is 17cm ×7cm.
A company is considering to choose between two investment projects with the
following details.
Project A : Costs RM7 million in upfront costs and will generate RM3 million in
annual income for five years starting three years from now.
Project B : Costs RM2.5 million upfront and RM2 million in each of the next
three years. This project generates no annual income but will be sold
six years from now for a sales price of RM16 million.
By using Net Present Value approach, with a discount rate of 8%, determine
which project should be choosen by the company.
Answer: Project A should be chosen as it has the highest NPV.
Step-by-step explanation:
Project A
Present value of inflows:
First find the present value of inflows 3 years from today. Bear in mind that the inflow is constant so this is an annuity:
= 3 million * Present value interest factor of annuity, 8%, 5 years
= 3 million * 3.9927
= RM11,978,100
Discount this value to the present:
= 11,978,100 / (1 + 8%)³
= RM9,508,602
Net Present value = Present value of inflows - Investment
= 9,508,601 - 7,000,000
= RM2,508,601
Project B:
Find present value of costs:
= 2,500,000 + (2 million * Present value interest factor of annuity, 3 years, 8%)
= 2,500,000 + (2,000,000 * 2.5771)
= 2,500,000 + 5,154,200
= RM7,654,200
Net present value = (16,000,000 / (1 + 8%)⁶) - 7,654,200
= RM2,428,514
Project A should be chosen as it has the highest NPV.
why 13/3hr and 4hr are equal?
Answer:
13/3 = 4 1/3 which when rounded is 4hrs
As 4.3/4 = 1.075 = 1 unit and not 2
Step-by-step explanation:
13/3 = 4.33333333 and rounded down = 4 hrs
Find the solutions to the following equation by using the quadratic formula .
2x^2+14x+20=216
Answer:
x = 7 , − 14
Step-by-step explanation:
I believe this is correct.
someone help me please
Answer:
C
Step-by-step explanation:
Hi there!
We're given a rectangle with one side marked as 16 and another marked as 12
We need to find the length of the diagonal
Rectangles have a property that makes the opposite sides congruent. Therefore, the side opposite to the side marked as 16 is also 16 and the side opposite to the side marked as 12 is also 12 because of that property.
Now let's look at the shapes cut by the diagonal; they are right triangles.
We only need to look at one of the triangles for this problem
The measures of 12 and 16 in the triangle are the legs (sides that make up the right angle) and the diagonal is the hypotenuse (the side that is opposite to the right angle).
You can absolutely solve for the diagonal/hypotenuse by doing Pythagorean theorem, but there's a shortcut:
3, 4, 5 is a common Pythagorean triple
(3²+4²=5²)
(9+16=25)
(25=25)
You may notice that dividing 12 and 16 by 4 are equal to 3 and 4 respectively
that means it's a 3, 4, 5 triangle, just by multiplied 4
So that means the hypotenuse has to be 5 * 4, which is equal to 20 inches
Therefore the answer is C
Hope this helps!
5th grade math. correct answer will be marked brainliest, answer the blank one!!
arithmetic progression
Answer: ar·ith·met·ic pro·gres·sion
/ˌeriTHˌmedik prəˈɡreSH(ə)n/
noun
a sequence of numbers in which each differs from the preceding by a constant quantity (e.g., 3, 6, 9, 12, etc.; 9, 7, 5, 3, etc.).
the relationship between numbers in an arithmetic progression.
"the numbers are in arithmetic progression"
Step-by-step explanation:
What is 2 to the 5th power?
Step-by-step explanation:
2 to the 5th power =2⁵=2×2×2×2×2=32
The value of 2 to the 5th power (2⁵) is equal to 32.
To calculate 2 to the power of 5 (2⁵).
We have to multiply the base number (2) by itself for the number of times specified by the exponent (5).
So, 2⁵ can be calculated as:
2 × 2 × 2 × 2 × 2
= 32
Therefore, 2 to the 5th power (2⁵) is equal to 32.
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Help
Kris is helping out neighbors by mowing lawns. All his neighbors have the same size lawn.
If he can mow 2/3 of a lawn in 1/6 of an hour, how many lawns can he mow in an hour?
Answer:
4Step-by-step explanation:
Given,
Size of the lawn he mow's in 1/6 hour = 2/3
Therefore,
Size of the lawn which can be mowed in 1 hour
[tex] = \frac{2}{3} \times 6[/tex]
= 2 × 2
= 4 (Ans)
Honestly I’m bad at math what is the following product
Answer:
It’s either D or C
Step-by-step explanation:
Can you give the answers to these problems I let the pictures here (they are only two)
Answer:
Here's what I got
Step-by-step explanation:
(6n^2 - 6n - 5)(7n^2 + 6n - 5)
42n^4 - 6n^3 - 101n^2 + 25
(n^2 + 6n - 4)(2n - 4)
2n^3 + 8n^2 - 32n + 16