Answer:
Step-by-step explanation:
No of red marbles=n(A)=3.Total no of marbles=n(s)=3+2+5=10.Probability,p(A)=n(A)/n(s)
f(x)= 6x-7 g(x)=6x+7, f(g(x))= and g(f(x))=
Solve ABCD. Round the answers to the nearest hundredth.
A. MZD=69, BC = 16.8, CD = 6.45
B. mD=159, BC = 16.8, CD = 6.45
C. MZD= 69, BC = 6.45, CD = 16.8
D. MZD= 159, BC = 6.45, CD = 16.8
-
Answer:
Step-by-step explanation:
a
There is a bag filled with 3 blue, 4 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 the same colour?
Answer:
[tex] \frac{25}{72} [/tex]
Step-by-step explanation:
[tex]( { \frac{3}{12}) }^{2} + { (\frac{4}{12}) }^{2} + { (\frac{5}{12}) }^{2} = \frac{50}{144} = \frac{25}{72} [/tex]
The coordinates of a quadrilateral are (1,3), (7,-3), (1,-9), and (-5,-3). What shape is formed? Select all that apply. -Kite -Rectangle -Rhombus -Square -Trapezoid
Answer: Sqaure
Step-by-step explanation:
We obtain the figure by either plotting or finding the distances between the points:
[tex]\begin{aligned}&\text { Distance } b / w \quad A B =\sqrt{(1-7)^{2}+(3-(-3))^{2}}\\&=\sqrt{6^{2}+6^{2}}\\&A B=\sqrt{72} \text { units }\end{aligned}[/tex]
[tex]\text { Distance } b / w \quad BC =\sqrt{(7-1)^{2}+(-3-(-9))^{2}} \\BC=\sqrt{72} \text { units }[/tex]
[tex]\begin{aligned}\text { Distance } b / w \ C D &=\sqrt{(1-(-5))^{2}+(-9-(-3))^{2}} \\C D=\sqrt{72} \text { units }\end{aligned}[/tex]
[tex]$$ Distance $b/w \ A D=\sqrt{(1-(-5))^{2}+(3(-3))^{2}}$A D=\sqrt{72} \text { units }[/tex]
Since all the distances of the four sides are equal, we have to check if the shape is either a rhombus or a square by the measuring the length of the diagonals
[tex]\begin{aligned}A C &=\sqrt{(1-1)^{2}+(3-(-9))^{2}} \\&=\sqrt{12^{2}} \\A C &=12 \text { units } \\B D &=\sqrt{(7-(-5))^{2}+(-3-(-3))^{2}} \\&=\sqrt{12^{2}} \\A C &=12 \text { units }\end{aligned}[/tex]
The diagonals are also equal; therefore, the figure is a square
⦁ Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
⦁ Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
⦁ How much roping does he purchase?
⦁ Leo plans to add gold leaf to the sides of the stand but not to the two bases.
⦁ What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.
If the surface area of the stand to be 35 ft². The number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
Number of ropes and Percent of stand areaGiven:
Base area=3ft²
Height=3.2 feet
Surface area=35ft²
a. Number of ropes
Surface area=2×Base area×Base perimeter×Height
Base perimeter(BP):
35=2×3+BP×3.2
35=6+3.2BP
Collect like term
3.2BP=35-6
3.2BP=9
Divide both side by 3.2BP
BP=29/3.2
BP=9.0625ft
Number of ropes=5×9.0625ft
Nimber of ropes=45.3125ft
b. Percent of stand area:
Percent of stand area=(9.0625ft×3.2)÷35ft²
Percent of stand area=29ft²÷35ft²×100
Percent of stand area=82.857ft×100
Percent of stand area=83% (Approximately)
Therefore the number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
Learn more about Percent of stand area here:https://brainly.com/question/2639075
An electrician charges a flat fee for each job plus an hourly rate . He charged one customer $90 for a job that took him 3 hours . He charged another customer $150 for a job that took him 8 hours . Which equation models the relationship?.
Answer:
let x equal the service charge.
let y equal the per hour charge.
for the job that cost 450, the equation is 450 = x + 6y
for the job that cost 330, the equation is 330 = x + 4y
these two equations needs to be solved simultaneously.
subtract the second equation from the firs to get 120 = 2y
solve for y to get y = 60.
in the first equation, replace y with 60 to get 450 = x + 6*60.
simplify to get 450 = x + 360.
subtract 360 from both sides of the equation to get 90 = x.
it appears that the service charge is equal to 90 and the per hour charge is equal to 60.
for the job that cost 450, the equation becomes 450 = 90 + 6*60 = 90 + 360 = 450.
for the job that cost 330, the equation becomes 330 = 90 + 4*60 = 90 + 240 = 330.
the numbers check out.
the service charge is 90.
the per hour charge is 60.
i believe your solution is that the electrician charges a flat fee of 90 plus an hourly fee of 60 for a service call.
Step-by-step explanation:
PLEASE HELP!!!!
What is the area of the picture below?
Answer:
A=130
Step-by-step explanation:
30 POINTS! The question is in the image!
Answer choices:
8, 4, 7, 9
How do I work out 3-9+7 divided by 3
Answer: I believe it should be [tex]\frac{1}{3}[/tex] for the final answer and here is how I would solve for this answer.
Step-by-step explanation:
Subtract 3 from 9 or 3 - 9 which equals: -6.Add -6 to 7 or -6 + 7 = 1. Divide 1 by 3 and you get [tex]\frac{1}{3}[/tex].You get [tex]\frac{1}{3}[/tex] because you can't simplify the fraction into a whole number. And if you need the decimal then you get 0.33333333 or 0.3 repeating.
I hope this helped!
Determine the coordinate of the point where
2x+y=5 crosses the x-axis.
Answer:
(2.5, 0)
Step-by-step explanation:
The point in which a line crosses the x-axis is also known as the x- intercept. x-intercepts occur at y= 0, so let's substitute y= 0 into the equation and solve for x.
2x +y= 5
When y= 0,
2x +0= 5
2x= 5
Divide both sides by 2:
x= 2.5
Thus, the coordinate is (2.5, 0).
All of the following expressions are equal except _____
Answer:
4^5/4^2
Step-by-step explanation:
4^5/4^2 = 4^3
All the others are equal to 1 / 4^3.
Answer:
All the following expressions are equal expect
[tex]\dfrac{4^{5}}{4^2}[/tex]
Step-by-step explanation:
[tex]\sf \dfrac{1}{4^3}\\\\\dfrac{4^2}{4^5}=\dfrac{1}{4^{5-2}}}=\dfrac{1}{4^3}\\\\4^{-3}=\dfrac{1}{4^{3}}[/tex]
But,
[tex]\sf \dfrac{4^5}{4^2}=4^{5-2}=4^{3} \ which \ differs \ from \ other \ three \expressions[/tex]
Exponnet law:
[tex]\sf a^{-m} =\dfrac{1}{a^m}\\\\ \dfrac{a^{m}}{a^{n}}=a^{m-n} , \ if \ m > n\\\\\dfrac{a^{m}}{a^n}=\dfrac{1}{a^{n-m}}, \ if \ m < n[/tex]
A cone has a radius of 3 inches and a height of 18 inches what is the volume
Answer:
Step-by-step explanation:
Formula
V = (1/3) pi * r^2 * h Substitute the givens into the formula
Givens
V = ?
pi = 3.14
r = 3 in
h = 18 in
Solution
V = 1/3 * 3.14 * 3 * 3 * 18
V = 169.56
Answer
V = 169.56 in^2
A cone has a radius of 3 inches and a height of 18 inches what is the volume?
Explanation -:Given:
Radius of a cone = 3 inchesHeight of a cone = 18 inchesNeed to find :
Volume of a coneSolution :
We know,
[tex] \small\boxed{ \sf{ Volume_{(cone)} = \dfrac{1}{3} × π × {r}^{2} × h}}[/tex]
Where,
r stand for radiush stand for heightAssuming π as 3.14[tex] \small\rm Volume_{(cone)} = \dfrac{1}{\cancel{3}} × 3.14 × { \cancel3} × 3 × 18[/tex]
[tex] \small\rm Volume_{(cone)} = 3.14 × 3 × 18 = 169.56 \: inches[/tex]
Hence the volume of the cone is 169.56 inches.[tex] \rule{74mm}{8pt}[/tex]
The sum of two numbers is 85. The second number is 4 more than 2 times the first number. Let x represent the first number and let y represent the second number. What are the two numbers? Use the table to guess and check.
Numbers
x
y
x + y = 85
y = 2 x + 4
19 and 65
25 and 60
27 and 58
32 and 53
Answer:c
Step-by-step explanation: took the test
What is the y-intercept of the line?
Answer:
the y intercept would be 4 pr (0,4)
[tex]( x + 1)(x - 1)[/tex]
what's the answer!!!!
[tex]\boxed{x^2-1}[/tex] is the ans
Calculations ↓First, multiply x times x :
x²
Now multiply x times (-1) :
-1x or -x
Right now we have
x²-x
Now multiply 1 times x :
x
x²-x+x
Now multiply -1 times 1 :
-1
x^2+x-x-1
the x's cancel :
x^2-1
So the simplified expression is :[tex]\blue{\boxed{\pmb{x^2-1}}[/tex]
[tex]\small\text{hope\:helpful~}[/tex]
Please tell me the answer
1*2*3*4*5*6*7*8*9*0=
Answer:
1*2*3*4*5*6*7*8*9*0=0
For anything times zero is zero
Step-by-step explanation:
Answer:
Step-by-step explanation:
this is zero, because the last number you multiply by is zero... but.. to be fair, it probably should have been a 10, as in 10 factorial or 10! if it was 10! , it would be 3,628,800.
Please help me with this Q.:)
Answer:
The first one
Step-by-step explanation:
<X = <Z
because they are corresponding angels
Solve the inequality. 10≤p−4 Question 3 options: 14≥p 14≤p 6≥p 6≤p
First, we need to add 4 to 10 as the inequality and equation rule. After doing this, we get 14. The final answer to the problem is 14 is equal or less than p.
An earthworm is crawling on top of the grass on a very sunny afternoon. it will immediately begin to dig back under the soil because of its sensitivity to light. what type of behavior is this? question 11 options: inherited learned mimicked imprinted
Earthworm will exhibit Inherited behaviors when digging back under the soil because of its sensitivity to light.
What is Inherited behaviors?Inherited behaviors are behaviors serves as the behavior in organism that is been passed down genetically.
Therefore, Inherited behaviors is when crawling on top of the grass on a very sunny afternoon.
Learn more about Inherited behaviors at;
https://brainly.com/question/24518056
#SPJ4
For which of the following inequalities would you have to flip your sign?
(Select all that apply.)
a.
4x < 5x + 6
b.
-2x > 5
c.
4 - 12x < 3
d.
-3x < -5x - 1
Answer:
d. -3x <-5x-1
I thought it can help you
Which expressions are equivalent to
6
+
12
x
?
7
(
1
+
2
x
)
−
2
x
−
1
Let's see the other options :
7(1+2x)
Use the distributive property :
7+14x
Is 7+14x equivalent to 6+12x? No.
The expression equivalent to 6+12x is :
6(1+2x) ← divide 6+12x by 6 and put it outside the parentheses
hope helpful ~
Hlo everyone!!!
Help me quickly
Please Emergency
50 points + Brainliest
I need full explanation.
Answer:
Full explanation of what?
Answer:
what are we answering
Step-by-step explanation:
Find the degree measure of each arc
Answer:
Step-by-step explanation:
if rayonna buys 12 oranges for $4.56 at meijer how much would 20 oranges cost
Answer: $7.60
Step-by-step explanation:
$4.56/12 is 0.38 cents (Cost of each orange)
so $0.38 x 20 is $7.60
Answer:
$7.6
Step-by-step explanation:
Cost of 12 oranges=$4.56
Cost of 1 Orange= $4.56/12=$0.38
Cost of 20 oranges =20 × Cost of 1 orange=20×$0.38=$7.6
I hope it helped you
I think its A but wanted to be sure???
Answer:
Yes i agree with you!!!
Step-by-step explanation:
Answer:
it is A
Step-by-step explanation:
to solve just move (x,y) to (y,x) but change x to a negative and if already a negative it is a positive
can someone help me with this
Answer:
Total Area = 1200 in^2
Step-by-step explanation:
There is a triangle and a rectangle.
Arca Triangle: Area = 1/2 * Base* Height
Area = 1/2 * 40 in * 30 in = 600 in^2
Area Rectangle: Area = Length* Width
Area = 30 in * 20 in = 600 in^2
Total Area = Area Rect + Area Tri
Total Area = 600 in^2 + 600 in^2 = 1200 in^2
To determine the successful applicant for a job, the interviewer assigns a problem to each of the 7 applicants.
If the problems are assigned at random to each applicant, how many different ways can they be assigned?
Answer:
5040
Step-by-step explanation:
type 7! in calc.
Answer:
5040
Step-by-step explanation:
Just take the factorial of 7.
I appologize if I am mistaken.
9 Janelle ran 26. 23 miles in 4. 3 hours. How many miles did Janelle run per hour?
A 5. 11 miles
B 6. 1 miles
C 21. 93 miles
D 1. 13 miles
Answer:
B
Step-by-step explanation:
Looking for miles / hr sub in the values
26.23 m / 4.3 hr = 6.1 m/hr
percent discount
A $37.50 dress is on sale for $26.25.
A.20%
B.25%
C.30%
D.35%
E.40%
F.45%
Answer:
C. 30%
Step-by-step explanation:
If you subtract 26.25 from $37.50, you're left with a difference of 11.25.
Given that your question has six possible answers, you can eliminate three of them considering 11.25 is somewhat close to 1/3 of 37.50.
After you've eliminated the first three options, you're left with 30%, 35%, and 40%.
You would get 28.125 by multiplying 11.25 by 2.5 (equal to 40%). So we know that 40% is NOT the solution.
You would get 33.75 by multiplying 11.25 by 3 (equivalent to 33.3 percent). So we know that 35% percent is NOT the solution because a figure less than 35 percent doesn't equal 37.5 percent.
Now that two of the three possible responses have been ruled out, you're left with only one correct answer, 30 percent.
Multiply 37.5 by 0.3 to double-check your work. You'd be left with 11.25, which is the same amount as when you subtracted the dress's price after the discount from the original dress's price.
What is the value of the expression 30 − 9 + 3 − (12 ÷ 4)? 18 20 21 24
Answer: What is the value of the expression 30 - 9 + 3 - (12dividedby4?
18 20 21 24
Step-by-step explanation:
IT"S APPLE!!!