Answer:
96 sq. ft
Step-by-step explanation:
surface area = (2×½×6×8) + (6+8+10)×2
= 48+48
= 96 sq. ft
Which of the following system of equations has a solution of (1,3)?
x = 4y - 11
y = 5x - 14
3x + 5y = 18
y = 2x + 1
x - y = -2
2x + 3y = 11
Answer: 3x + 5y = 18 y = 2x + 1 or the second option !!
How to: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Have a great day !
how to solve this equation by step
12f=216
Answer:
18
Step-by-step explanation:
You have to divide both sides by 12 inorder to remain with the f on the other side since you want to find the value of f.
12f/12=216/12
F=18
I hope this helps
Simplify the given expression.
Answer:
if u putted a picture or link i cant see it
Step-by-step explanation:
Answer:
Q1 .
[tex]\frac{3y -28}{(y+2)(y-2)}[/tex]
option 3
Q2.
[tex]\frac{(x-1)(x+1)(26x-31)}{(x^2 +8)} \\[/tex]
option 2
Pls HELP
3. Which image shows a reflection over the linex=2?
Answer:
C
Step-by-step explanation:
C is the answe
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important
(this is a big part of my grade)
help me plzzzzzz!!!!!!!
A small fish tank is filled to the top with water. If the tank measures. 15 cm by 10 cm by 10 cm, what is the volume of water in the tank? Express your answer in mL
A boy pulls a wagon a distance of 1.2 km. An applied force of 22N is directed at an angle of 25 degrees above the horizontal. How much work is done?
Answer: 23.92 kJ
Step-by-step explanation:
Given
Distance moved by wagon is [tex]d=1.2\ km[/tex]
Force [tex]F=22\ N[/tex] directed at an angle of [tex]25^{\circ}[/tex] above the horizontal
Only the horizontal component of the force that is, [tex]22\cos 25^{\circ}[/tex]the wagon will cause the wagon to move, while the other force is perpendicular to the wagon and thus produce zero displacements.
Work done is
[tex]W=F\cdot s\\W=22\times 1.2\times 10^3\times \cos 25\\W=23.92\ kJ[/tex]
thus, 23.92 kJ of work is done on the wagon.
Can you help me on this?
Answer:
d= -32
Step-by-step explanation:
Answer:
-5=d/4+3
-5-3=d/4
-8=d/4
-8*4=d
-32=d
Step-by-step explanation:
Plz help me well mark brainliest if correct!
Answer:
ok
Step-by-step explanation:
Answer:
The length is 8.
Step-by-step explanation:
If you know the formula for area is LxW. Use this but reverse it. The area is 24 and the width is 3. Now divide 24/3=8. Simple as that!
Formula: A/W=L or A/L= W use this if you need more help! Hope it helps (:(:
Suppose x and y are real numbers and x+y=2. Which of the following statements must be true about x and y? A. If one of the numbers is irrational then both are irrational. B. Both x and y must be rational. C. Both x and y must be irrational. D. One of the numbers can be irrational but not both.
Answer:
I think that it is A
The solution is : The correct option is,
(A) the sum of x and y is a rational number
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have.
We are given to consider that x = 1.5 and y = 3.
We are to select the statement that is true about the sum x + y.
To select the correct statement, we first find the value of the sum x + y.
We have
x+ y = 1.5 + 3 = 4.5
So, the value of the sum is 4.5. It is a real number.
We know that a real number is
(i) rational, if the digits after the decimal are either terminating or repeating,
(ii) irrational, if the digits after the decimal are neither repeating nor terminating.
The sum 4.5 has terminating digits after the decimal, so it is a rational number.
Thus, the sum of x and y is a rational number.
Option (A) is CORRECT.
To learn more on number click:
brainly.com/question/17429689
#SPJ2
complete question:
Consider that x=1.5 and y=3. Which statement is true about x + y A the sum of x and y is a rational number
B the sum of x and y is an imaginary number
C the sum of x and y is an irrational number
D the sum of x and y is neither rational not irrational
-8 is an irrational number.
True
False
Answer:
false
Step-by-step explanation:
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240% of what number is 360? +
Answer:
240% of 150 is 360
Step-by-step explanation:
240% of [tex]x[/tex] = 360
[tex]\frac{240}{100}[/tex] x [tex]x[/tex] = 360
2.4 [tex]x[/tex] = 360
[tex]x[/tex] = [tex]\frac{360}{2.4}[/tex]
[tex]x[/tex] = 150
Without plotting these numbers, decide which inequalities are true. Check all that apply.
[tex] \sqrt7 > 2[/tex]
[tex] \sqrt7 >7[/tex]
[tex] \sqrt7 < 8[/tex]
[tex] \sqrt8 < 2[/tex]
[tex] \sqrt8 < 8[/tex]
Answer: √7 = 2.6
1. 2.6 > 2 V
2. 2.6 > 7 X
3. 2.6 < 8 V
4. √8 = 2.8 2.8 < 2 X
5. 2.8 <8 V
Step-by-step explanation:
V: mean correct
X: mean wrong
Need help!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!
Answer:
Your answer is 20
Step-by-step explanation:
It minuses 1 to every other.
Answer:
The answer is 20
Rodas is standing 100 feet from the Eiffel Tower and sees a bird land on the top of the tower (he has really good eyes!). If the angle of elevation from Rodas to the top of the Eiffel Tower is close to 84.6°, how tall is the tower? Round to two decimal places.
Answer:
1057.89 feet
Step-by-step explanation:
Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA
The best trig function for this problem is likely tan:
tan84.6 = height / 100
100 * tan 84.6 = height
height = 1057.89 feet
In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.
Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)
What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)
This question is incomplete, the complete question is;
In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.
Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)
a) What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)
Don't put your first ball back into the bucket. Now reach in ( again no peeking ), and pick your second ball. ( Click the red Pick-A-Ball icon to simulate reaching into the bucket and select your next ball.)
b) What is the probability of selecting the color of the ball you selected. ( Enter the answer in decimal format to 4 decimal places ).
Answer:
a) the probability of selecting the color of ball ( RED ) that you just selected is 0.5000
b) the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333
Step-by-step explanation:
Given that;
We have a total of 10 colored balls in a small bucket.
Number of Red balls = 5
Number of White balls = 2
Number of blue balls = 3.
Now, assuming I clicked on the red Pick-A-Ball icon to simulate reaching into the bucket and picking a ball.
Also, Assuming that the color of ball that appeared is Red.
Then the probability of selecting the color of ball ( RED ) that I just selected will be;
P( selected Color ) = Number of Red balls / Total number of balls in the bucket
P( selected Color ) = 5 / 10 = 0.5000
Therefore, the probability of selecting the color of ball ( RED ) that I selected is 0.5000
b)
It is said that the game is Pick-A-Ball without replacement.
So assuming I went on and clicked on the red Pick-A-Ball icon to simulate picking a second ball.
Also, Assuming that the color of ball that appeared was blue.
Then the probability of selecting the color of ball ( BLUE ) that I just selected will be;
P( selected Color ) = Number of Blue balls / Total number of balls in the bucket
Now, since I picked the first ball without replacement, i.e I did not return it back to the bucket, The total number of balls left in the bucket now is 9.
so; P( selected Color ) = 3 / 9 = 0.3333
Therefore, the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333
How would I figure out a linear equation with two plot points with fractions? (1/3(6),3) and (1/2(19),-2) are my two plot points. I was able to graph them on Desmos, but I can't seem to figure out how I would go about figuring out the slope and y-intercept in this case... the fractions are what's throwing me off here. Please help!
Answer: [tex]m=\frac{-30}{79},\ y=5.40[/tex]
Step-by-step explanation:
Given
Points are [tex]\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)[/tex]
Convert mixed numeral to fraction
[tex]\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)[/tex]
Slope of the line is
[tex]\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}[/tex]
Equation of line
[tex]\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40[/tex]
The probability distribution for a random variable x is given in the table
X - -5 -3 -2 0 2 3
Probability- .17 .13 .33 .16 .11 .10
Find the probability that -2 < or equal to X < or equal to 2
Answer:
[tex]P(-2 \le x \le 2) =0.60[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}x & {-5} & {-3} & {-2} & {0} & {2} & {3} \ \\ P(x) & {0.17} & {0.13} & {0.33} & {0.16} & {0.11} & {0.10} \ \end{array}[/tex]
Required
[tex]P(-2 \le x \le 2)[/tex]
From the distribution, the above is equivalent to:
[tex]P(-2 \le x \le 2) =P(x = -2) +P(x = 0)+P(x = 2)[/tex]
We have:
[tex]P(x = -2) = 0.33[/tex]
[tex]P(x = 0)=0.16[/tex]
[tex]P(x = 2) = 0.11[/tex]
So:
[tex]P(-2 \le x \le 2) =P(x = -2) +P(x = 0)+P(x = 2)[/tex]
[tex]P(-2 \le x \le 2) = 0.33 + 0.16 +0.11[/tex]
[tex]P(-2 \le x \le 2) =0.60[/tex]
For which quadratic equation are the solutions 6 and -8?
A)
x2 + 2x = 48
B)
**+ 8x - 48
C)
x2 - 2x = 48
D)
x2 + 2x = -48
Answer:
A
Step-by-step explanation:
A) is the right answer.
Answer:
A
Step-by-step explanation:
A) Yes, this is solution
b) No
c) No
d) NO
HELP ME! Look at the stem-and-leaf plot. What is the mode of the numbers?
Given:
The stem-and-leaf plot or a date set.
To find:
The mode of data set.
Solution:
From the given stem-and-leaf plot, we get the numbers of the data set.
64, 67, 70, 70, 71, 75, 76, 78, 78, 80, 82, 82, 88, 91, 93, 94, 97, 98, 100, 100, 100
Mode of a date set is the most frequent value.
In the given data set the most frequent value is 100 with frequency 3.
Therefore, the mode of data set is 100. Hence, option A is correct.
Answer:it is A: 100
Step-by-step explanation:
i got it right
good luck with your test :)
Plato!! Please help!!!
Answer:
[tex]a =7[/tex] [tex]b = 2[/tex] [tex]c = -4[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Required
Find a, b and c
[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Take LCM
[tex]\frac{3x(x -2) + 4x(x+2)}{(x + 2)(x - 2)} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Expand
[tex]\frac{3x^2 -6x + 4x^2+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Collect like terms
[tex]\frac{3x^2 + 4x^2-6x+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]
[tex]\frac{7x^2+2x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]
By direct comparison:
[tex]ax^2= 7x^2 \to a = 7[/tex]
[tex]bx = 2x \to b = 2[/tex]
[tex]-4 = c \to c = -4[/tex]
Q7. What is the equation of the system of equations below? Explain how
you arrived at your answer
W
18x + 15-y-0
5y - 90x + 12
Answer: 18x -15 -y =0
Step-by-step explanation:
because linear equations in two variables are always in the format of ax+by+c=0
where a,b and c are constant terms
in this case a = 18; ax= 18x
b= -1 , by= -y
c= 15
Answer:
90x + 75 = 90x + 12, they don't intersect
Step-by-step explanation:
18x + 15 - y = 0
5y = 90x + 12
1. We will be using substitution, to do so, bring y to the other side in the first eqaution.
18x + 15 - y = 0
18x + 15 = y
2. Now plug in 18x+15 into the second equation
5(18x + 15) = 90x + 12
3. Distribute and solve for x
90x + 75 = 90x + 12
Because the slopes are the same (90x) this means that the system does not have an intersect.
Readin
Look at the two sums shaded in the addition table. Why are the sums the same?
+
0
1
2 3
4
5
because
5 x 9 = 9 x 5
0
1
2
because 9 is greater
than 5
unwN -
because
5 +9= 9+5
WNO
0 00 von A
6 7 8 9 10
3 4 5 6 7 8 9 10
2 3 4 5 6 7 8 9 10 11
3 4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12 13
5 6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14 15
6 7 8 9 10 11 12 13 14 15 16
7 8 9 10 11 12 13 14 15 16 17
9 10 11 12 13 14 15 16 17 18
because 5 and 9 are
both odd numbers
6
7
8
10 11 12 13 14 15 16 17 18 19
10 10 11 12 13 14 15 16 17 18 19 20
Answer:
10 11 12 13 14 15 16 17 18 19
10 10 11 12 13 14 15 16 17 18 19
Step-by-step explanation:
Kylee manages a small theme park and she has been analyzing the attendance data. Kylee finds that the number of visitors exponentially as the tempature increases, and this situation is represented by the function f(x) = 4 ^ x Kylee also finds a linear equation that no deals the number of people who leave the park early depending on the change in temperature , and it is represented by f(x) = - x + 5. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
The terminal ray of an angle passes through the point (16,–12). What is the value of sine for this angle?
Answer:
-3/5
Step-by-step explanation:
Given :-
The terminal ray of an angle passes through the point (16,–12).And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.
Using Pythagoras Theorem :-
[tex]:\implies[/tex] h² = p² + b²
[tex]:\implies[/tex] h² = 16² + 12²
[tex]:\implies[/tex] h² = 256 + 144
[tex]:\implies[/tex] h² = 400
[tex]:\implies[/tex] h = 20 u
Therefore the sine will be :-
[tex]:\implies[/tex] sinθ = p/h
[tex]:\implies[/tex] sinθ = 12/20
[tex]:\implies[/tex] sinθ = 3/5
And it is in third quadrant so , sine will be negative .[tex]:\implies[/tex] sinθ = -3/5
Therefore the value of sine is -3/5.
Chuck has 20 feet of fencing and wishes to make a rectangular fence for his dog Rover. If he uses his house for one side of the fence what is maximum area?
Answer:
50 square feet.
Step-by-step explanation:
Let x represent the width of the fence and y represent the length of the fence.
One side of the length is already covered by the house. This leaves 2x and y. This must sum to 20. Hence:
[tex]2x+y=20[/tex]
The area of the enclosure will be given by:
[tex]A=xy[/tex]
From the first equation, we can subtract 2x from both sides:
[tex]y=20-2x[/tex]
Substitute:
[tex]A=x(20-2x)[/tex]
This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex. So, find the vertex of the equation. Distribute:
[tex]A=20x-2x^2[/tex]
In this case, a = -2, b = 20, and c = 0.
Hence, the vertex is:
[tex]\displaystyle x=-\frac{b}{2a}=-\frac{(20)}{2(-2)}=5[/tex]
Substitute this value back into the equation and evaluate:
[tex]A(5)=20(5)-2(5)^2=50\text{ ft}^2[/tex]
The maximum area is 50 square feet.
This occurs when the dimensions are 5 feet by 10 feet.
What is mZMNP?
A 73
B 107
C 110
D 146
Answer:
zMNP=180-73
=107 IS THE ANSWER
can you just please click on this and help
Answer:
i think its b but im not 100 percent sure...
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is d