Answer:
A
Step-by-step explanation:
Step 1, setting variables:
We already know the exact height of the prism: 6 feet. We can set the unknown width as variable x, and length as x+2 (length is two feet more than width).
Step 2, writing equations:
Great! We have everything now. Let us write the equation by substituting our variables in:
[tex]V=l*w*h\\V=6w(w+2)\\[/tex]
Ok! Let us expand the equation:
[tex]V=6w^2+12w[/tex]
[tex]\fbox{A}[/tex]
I hope this helps! Let me know if you have any questions :)
what number must you add to complete the square? x^2+24x=50
Answer:
144
Step-by-step explanation:
Divide the b term which is 24 by 2
Gives you 12, then square it.
that's 144
formula for completing squares is [tex](b/2)^{2}[/tex]
multiply (11x+y)² what is the answer?
Answer:
121x+y²
Your Welcome
BIFFY OUT!!!
Casandra wants to buy a dress. She had of the money. Her mom gave her $120.00 but she was still short of the cost of the dress. What is the price of the dress?
I dont think I can be answered with just the given info... is some of the q missing still?
Closest we can do with above is dress cost = 120+ c
HELPP ASAP plzzz tyy!!!!
Answer:
The domain of a function is the input numbers that, when plugged into a function, the result is defined. In simple words, we can define the domain of a function as the possible values of x that will make an equation true.
The range of a function is defined as a set of solutions to the equation for a given input. In other words, the range is the output or y value of a function. There is only one range for a given function.
hope this helps!
Step-by-step explanation:
6+t=1 pls help.............
6+T=1
Try T=-5
6+(-5) = 1
Correct, So...
T=-5
How do I compare this ratio ;
3:4 , 5:2 and 2:3
Answer:
(a) By converting to decimal:
2:3=23=0.6¯
4:5=45=0.8
As 0.6¯<0.8,2.:3<4:5.
(b) By converting to fractions:
Ratios can be compared by converting them to like fractions.
2:3=23=2(5)3(5)=1015
4:5=45=4(3)5(3)=1215
As 1015<1215,2:3<4:5.
Q22. Solve the equation x – 25 = 25 and state which axiom do you use here.
Answer:
x=50
Step-by-step explanation:
The solution to the equation x – 25 = 25 is x = 50. The axiom used to solve the equation is the addition property of equality.
To solve the equation x - 25 = 25, we want to isolate the variable x to find its value.
Adding 25 to both sides of the equation, we get:
x - 25 + 25 = 25 + 25
Simplifying, we have:
x = 50
Therefore, the solution to the equation is x = 50.
In this case, the axiom used to solve the equation is the addition property of equality. According to this axiom, if two expressions are equal, adding the same value to both sides of the equation preserves the equality.
In the given equation, we add 25 to both sides of the equation to maintain equality and obtain the solution x = 50. The addition property of equality allows us to perform this operation and determine the value of x.
To learn more about axioms click on,
https://brainly.com/question/33725824
#SPJ2
can someone help me with this question
What is the perimeter of a triangle with the side lengths 4 cm, 6 cm, and (3y-2) cm?
Answer:
Step-by-step explanation:
P = 4 + 6 + (3y - 2) Remove the brackets
P = 10 + 3y - 2 Combine
P = 8 + 3y
Note 3y must be less than 8. That's because 2 sides of any triangle must be larger than the 3rd side or else you don't have a triangle.
A certain game consist of rolling a single fair die and based off as a following numbers listed in the picture
Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:
[tex]P(6)=\dfrac{1}{6}[/tex]
The probability of getting a 5 is:
[tex]P(5)=\dfrac{1}{6}[/tex]
The probability of getting a 4 is:
[tex]P(4)=\dfrac{1}{6}[/tex]
The probability of getting other numbers (1,2,3) is:
[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]
[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]
We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]
[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]
[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]
[tex]E(x)=\dfrac{10+7+4}{6}[/tex]
[tex]E(x)=\dfrac{21}{6}[/tex]
[tex]E(x)=3.5[/tex]
Therefore, the expected winnings for this game are $3.50.
2) find an equation of the line theough the given
points. Give the final answer in slope-intercept form.
(2,-2) (-1,4)
Answer:
y = -2x + 2
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (2, -1)
Points on the y-axis (y1, y2) = (-2, 4)
To find the equation of line in slope intercept form;
First of all, we would determine the slope of the line.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {4 - (-2)}{-1 -2} [/tex]
[tex] Slope, m = \frac {4 + 2}{-1 -2} [/tex]
[tex] Slope, m = \frac {6}{-3} [/tex]
Slope, m = -2
Next, we would use the following formula to find the equation of the line;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-2) = -2(x - 2)
y + 2 = -2x + 4
y = -2x + 4 - 2
y = -2x + 2 = mx + c
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Please help me with #29 and 30.
9514 1404 393
Answer:
29) 1/5
30) independent; 64/225 ≈ 0.284
Step-by-step explanation:
In general, a "spinner" is considered to be a (mathematically ideal) device that returns one of the values with which it is marked, with a probability according to the area of the sector in which the mark resides. Usually, sectors are presumed to have equal areas. The result of one spin is generally considered to be independent of the result from any other spin. In the real world, an operator familiar with a given spinner can often ensure that the results do not have equal probability and are not independent. We ignore that possibility in math problems.
__
29) Of the numbers 1 to 15, there are three numbers less than 4. The probability of spinning one of them is 3/15 = 1/5.
__
30a) We have defined our spinner so that the events are independent. (See above.)
30b) In the set of numbers 1 to 15, 8 are odd and 7 are even. The probability of getting an odd number on any spin is 8/15. Because the results of successive spins are independent, the probability of any given sequence is the product of the probabilities of the numbers in that sequence.
P(2 odd) = P(odd)×P(odd) = (8/15)(8/15) = 64/225 ≈ 0.284
WILL MARK BRAINIEST Evaluate the 6 trigonometric functions at
Step-by-step explanation:
the Adjacent = √15²-9²=√225-81=√144=12
sin 0 = 9/15 = 3/5
cos 0 = 12/15 = 4/5
tan 0 = 9/12 = ¾
sec 0 = 15/12 = 5/4
csc 0 = 15/9 = 5/3
cot 0 = 12/9 = 4/3
The figure to the right shows two parallel lines intersected by a transversal.
Let x = 103°. Find the measure of each of the other seven angles.
Answer:
77°
Step-by-step explanation:
103° + ∠1° = 180°
Triangle A B C is cut by line segment D E. Line segment D E goes from side A C to line A B. The length of A E is 12, the length of E B is 4, and the length of A D is 9. What is the length of Line segment D C? 2 units 3 units 6 units
Answer: The length of DC is 3 units
Step-by-step explanation:
The Basic proportionality theorem states that if a line is parallel to one side of a triangle and intersects the other two at different points, then the other two sides are divided in the same ratio.
The given image is attached below.
From the BPT theorem, we can say that:
[tex]\Rightarrow \frac{AE}{EB}=\frac{AD}{DC}[/tex]
We are given:
AE = 12 units
EB = 4 units
AD = 9 units
Putting values in above equation, we get:
[tex]\Rightarrow \frac{12}{4}=\frac{9}{DC}\\\\\Rightarrow DC=\frac{9\times 4}{12}\\\\\Rightarrow DC=3 units[/tex]
Hence, the length of DC is 3 units
Answer:
The answer is 3 units
Step-by-step explanation:
Use the following figure to answer the questions
<5 and <7 are what angles
Answer:
<5 and <7 are corresponding angles.
Step-by-step explanation:
<5 and <7 are corresponding angles. They are on the same side of the transversal and on the same position on each of the parallel lines
HELP MATH ANSWER QUESTION
Answer:
Last one.
Step-by-step explanation:
[tex]\sqrt{3}[/tex] is used in 30-60-90 triangles
[tex]\sqrt{2}[/tex] is used in 45-45-90 triangles
Base is x, leg is x[tex]\sqrt{3}[/tex], hypotenuse is 2x
Answer:
x = 20 ; y= 10√3
Step-by-step explanation:
30, 60 , 90 triangle ratio is
Side opposite to 30 is a
a = AC = 10
Side opposite to 60 is a[tex]\sqrt{3}[/tex]
AB = a[tex]\sqrt{3}[/tex] = 10√3
Side opposite to 90 is 2a
BC = 2a = 2* 10 = 20
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
10π in.
Step-by-step explanation:
circumference of a circle = 2πr
=2*π*5
=10π in.
Help plz ??
This is really urgent. If anyone knows the answer plz plz help me
Answer:
A
because range is all values of Y but in negative side it is infinity but in positive side range is 4
Maria is shopping at the mall. She had $73 at the beginning of the day. She bought a shirt for $22 and then a pair of jeans. Now, Maria has $38 left. How much did Maria's jeans cost?
a 60
b 16
c 13
d 51
Answer:
option C = $13
Step-by-step explanation:
Amount she had in the beginning = $73
Cost of shirt = $22
Let the cost of jeans be = x
Balance in hand = $38
Amount in hand = 38 + 22 + x
73 = 60 + x
73 - 60 = x
13 = x
Therefore, cost of a pair of jeans = $13
Answer:
The answer is C
Step-by-step explanation:
how do i find a perimeter of a traingle? give examples
Answer:
use this formula(a+b+c) a,b,c are the 3 sides of a triangle this will help you to find the perimeter of a triangle
In a carnival game, there are 8 identical boxes, one of which contains a prize. Contestants guess which box contains the prize. The game is played until one of the contestants guesses it correctly. A contestant with the smaller number of guesses wins the prize. Before each game, a new prize is placed at random in one of the 8 boxes.
Requried:
Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times?
Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
The game is played n times.In each game, each of the 8 participants is equally as likely to win the game, hence p = 1/8.Thus, the binomial distribution is appropriate.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
Karl set out to Alaska on his truck. The amount of fuel remaining in the truck's tank (in liters) as a function of distance driven (in kilometers) is graphed.
What distance did Karl travel by the time he had 200 liters of fuel?
_____ kilometers
Answer:
500 kilometers
Step-by-step explanation:
The fuel (y) Karl has in his car is a function of the distance (x) Karl travelled. The amount of fuel (y) is dependent on the distance (x) Karl travelled.
On the y-axis, we have amount of fuel.
On the x-axis, we have distance travelled.
At the time Karl travelled when he had 200 liters of fuel (y) remaining in his car, he had travelled a distance (x) of 500 kilometers.
We know this by looking at the graph given. When x (distance) = 500, y (fuel) = 200.
The volume of a cube is 448cm3.
Work out the length of its side rounded to 1 DP. Please hellp
Answer:
7.65 or 7.7 rounded to 1 DP
Step-by-step explanation:
To find the length of the side of a cube we do the inverse of finding the volume.
one side= x
If x³ = volume, therefore ∛448 is how to find the length of one side.
∛448= 7.65
I hope this helps you.
What is an equation of the line that passes through the points (-6, 3) and (-5,2)
Answer:
y=-x-3
Step-by-step explanation:
I need to find the value of x?
Answer:
x=20
Step-by-step explanation:
120=6x
120/6=6x/6
20=x
Mô hình quy hồi tuyến tính và ứng dụng
Answer:
where are you from Korea or not
Hope it helps you!
-miraculousfanx-
7[tex]\sqrt -9[/tex]
Answer:
= 21i
Step-by-step explanation:
√-9 = 3i
= 7 . 3i
Multiply the numbers: 7 . 3 = 21
= 21i
Hope this helps!
If the set of values in the table represents points on a line, what is the value of a?
Answer:
3
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
just did it
Express in simplest radical form.
V9
Answer:
3
Step-by-step explanation:
[tex]\sqrt{9}=\sqrt{3*3} = 3[/tex]