Answer:
b) 1/9Step-by-step explanation:
Rolling two dice, there are 6*6 = 36 outcomes
The outcomes with the difference of 4:
1&5, 2&6, 6&2, 5&1 - total of 4Required probability:
P = 4/36 = 1/9Correct choice is b
x^{4} - 5x^(2) + 2x + 3 < 0
the Answer is irrational number
What are the solutions to the system of equations?
{y=2x²−6x+3
{y=x−2
Answer:
x = 1, y = −1
x = 5/2, y = 1/2
Step-by-step explanation:
From the question given above, the following data were obtained:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
We can obtain the solutions to the equation as follow:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
Substitute the value of y in equation 2 into equation 1
y = 2x² − 6x + 3
y = x − 2
2x² − 6x + 3 = x − 2
Rearrange
2x² − 6x − x + 3 + 2 = 0
2x² − 7x + 5 = 0
Solve by factorization
Obtain the product of 2x² and 5. The result is 10x².
Find two factors of 10x² such that their sum will result to −7x.
The factors are −2x and −5x.
Replace −7x in the equation above with −2x and −5x as shown below:
2x² − 2x − 5x + 5 = 0
2x(x − 1) − 5(x − 1) = 0
(x − 1)(2x − 5) = 0
x − 1 = 0 or 2x − 5 = 0
x = 1 or 2x = 5
x = 1 or x = 5/2
Substitute the value of x into equation 2 to obtain y
y = x − 2
x = 1
y = 1 − 2
y = −1
x = 5/2
y = x − 2
y = 5/2 − 2
y = (5 − 4)/2
y = 1/2
SUMMARY:
x = 1, y = −1
x = 5/2, y = 1/2
The perimeter of a rectangle is 56 feet and
its area is 192 square feet. What are the
dimensions of the rectangle?
Answer:
Step-by-step explanation:
P = 2(L + W)
Area = L*W
Area = 192
(L + W)*2 = 56
L+W = 28
L = 28 - W
W*(28 - W) = 192
28W - w^2 = 92
-w^2 + 28w - 192 = 0
w^2 - 28w + 192 = 0
This factors into
(w - 12)(w - 16) = 0
w - 12 = 0
w = 12
L = 28 - 12 = 16
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
either it's 1:3 or 1:6
Step-by-step explanation:
3 students went to the zoo, and 15 students went to the aquarium.
15 plus 3 is 18.
3/18 then reduces to 1/6
therefore it is:
1:6
(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)
If YWZ=17, what is WXY?
34
56
17
73
Answer:
73
Step-by-step explanation:
17×2=34
180-34=146
146/2=73
=73
Find the area of ABCD
Answer:
Applying Heron's Formula
[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]
[tex]s_1=7[/tex]
[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]
[tex]A_1=10.56[/tex]
Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]
[tex]s_2=11.49[/tex]
[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]
[tex]A_2=24.69[/tex]
Total Area:
[tex]10.56+24.69[/tex]
[tex]=35.25[/tex]
OAmalOHopeO
How can you use what you know about 5(2) to find 5(-2)?
Please help
Answer:
-10
Step-by-step explanation:
5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)
Graph the system of inequalities. Then state whether the situation is infeasible, has alternate optimal solutions, or is unbounded. (Assume that x>0 y>0
Answer:
x
[tex]x \leqslant - y + 1[/tex]
Steps are show in the picture above.
which statement is true
I need help!!
Find the height of this cone using the Pythagorean Theorem.
Answer:
h = 4sqr(3)
Step-by-step explanation:
r = d/2
d = 8
r = 8/2
r = 4
a = 4
c = 8
b = h = ?
a^2 + h^2 = c^2
4^2 + h^2 = 8^2
16 + h^2 = 64
h^2 = 64 - 16
h^2 = 48
sqrt(h^2) = sqrt(16*3)
h = 4 sqrt3)
Answer:
48
Step-by-step explanation:
Solve for the value of n.
n =
Answer:
136+(4n-8)=180
136+4n-8=180
4n+128=180
4n=52
n=13
Step-by-step explanation:
please mark me as brainliest
Find the approximate side length of a square game board with an area of 194 in2.
Answer:
root 194=13.928 inches
Help Pls if you want!!!!
Answer:
Its 2.5 percent ladd enjoy
Step-by-step explanation:
Answer:
2 per team and 2 left
Step-by-step explanation:
10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.
4*2 = 8
10-8 = 2
Boston wheel chair marathon how long would it take to run a 30 mile race
Select the two values of x that are roots of this equatio 2x - 5 = - 3x ^ 2
alright I can help!
so to find the two values of x that are roots of the equation we need to put the variables all on one side so that we can set up the quadratic formula.
3x^2+2x-5=0 (the -3x^2 becomes positive when moved across the equal sign)
now we can set up the quadratic formula. the equation is x= (-b+-(sqrt of b^2 -4ac))/ 2a
so now we just plug in our variables.
x= (-2+-(sqrt of 2^2 -4×3×-5))/ 2×3
x= (-2+-8)/6
now we just seperate the equations so that we have the two roots. and then just solve!
x= (-2-8)/6 -> x= -5/3
x= (-2+8)/6 -> x=1
hope this helps! best wishes and best of luck!!
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
Answer:
Step-by-step explanation:
if f(x+1)=3x+4,find f(x) and f(3).
f(x+1)=3x+4
Let y be x+1 So x=y-1[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]
[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto 3(3)+1[/tex]
[tex]\\ \sf\longmapsto 9+1[/tex]
[tex]\\ \sf\longmapsto 10[/tex]
Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barnyard and told her husband that she counted 24 heads and 80 feet. How many chickens are in the yard? How many pigs are in the yard?
Using a system of equations, it is found that:
There are 8 chickens in the yard.There are 16 pigs in the yard.-----------------------------------------
This question is solved using a system of equations. I am going to say that:
x is the number of chickens.y is the number of pigs.-----------------------------------------
A chicken has 1 head, as do a pig.There are 24 heads.Thus:
[tex]x + y = 24 \rightarrow y = 24 - x[/tex]
-----------------------------------------
A chicken has 2 feet.A pig has 4 feet.In total, there are 80 feet.Thus:
[tex]2x + 4y = 80[/tex]
-----------------------------------------
Number of chicken:
Since [tex]y = 24 - x[/tex]
[tex]2x + 4y = 80[/tex]
[tex]2x + 4(24 - x) = 80[/tex]
[tex]2x + 96 - 4x = 80[/tex]
[tex]2x = 16[/tex]
[tex]x = \frac{16}{2}[/tex]
[tex]x = 8[/tex]
There are 8 chickens in the yard.
-----------------------------------------
Number of pigs:
[tex]y = 24 - x = 24 - 8 = 16[/tex]
There are 16 pigs in the yard.
A similar problem is given at https://brainly.com/question/24104709
Find m/ELM if m/ELM = 15x - 1, m/KLE = 20°, and m/KLM = 17x - 1.
Answer:
∠ ELM = 149°
Step-by-step explanation:
∠ KLM = ∠ KLE + ∠ ELM , substitute values
17x - 1 = 20 + 15x - 1
17x - 1 = 15x + 19 ( subtract 15x from both sides )
2x - 1 = 19 ( add 1 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Then
∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°
Five children share 24m of ribbon equally.
How much ribbon will each child get?
Write your answer as a mixed number.
Answer: 4 8/10m
Explanation:
Total Ribbon = 24m
Total children = 5
Ribbon each student gets = 24÷5
= 4.8
Now 4.8 = 48/10
4 8/10m is the mixed fraction
So each child will get 4 8/10m ribbon
Must click thanks and mark brainliest
If five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that five children share 24m of ribbon equally.
We have to find the amount of ribbon each children gets.
To find this we have to divide the length of the ribbon with the number of children.
Twenty four divided by five.
24 is the dividend and five will be the divisor
24/5
Now we have to write this in mixed fraction
[tex]4\frac{4}{5}[/tex]
Hence, if five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ3
find the missing side
Answer:
x ≈ 13.7
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )
40 × cos70° = x , then
x ≈ 13.7 ( to the nearest tenth )
When you subtract two positive integers is the result always a positive integer
Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm
What is the difference between-5and2
Answer:
7
Step-by-step explanation:
Consider the absolute value of the difference , that is
| - 5 - 2 | = | - 7 | = 7
or
| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7
Answer:
7
Step-by-step explanation:
Difference is - sign so the equation is: 2- -5 which is 7. Or
think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7
show the work please and thank you
Answer:
Option a, 13
if you solve it, you get 13 as the answer
³√(5x-1)=4
or, 5x-1=64
or, 5x=65
or, x=13
Which composite function can be used to find the
force of the object based on its volume?
The density of titanium is 4.5 g/cm3. A titanium object
is accelerating at a rate of 800 cm/s2. The mass of
the object can be modeled by the function m(v) =
4.5v, where v is the volume in cubic centimeters.
Additionally, the force of the object can be found
using the function F(m) = 800m.
A. F(m(v)) = 177.8V
B. F(m(v)) = 795.5v
C. F(m(v)) = 804.5v
D. F(m(V)) = 3,600V
Given:
The mass function is:
[tex]m(v)=4.5v[/tex]
where v is the volume in cubic centimeters.
The force function is:
[tex]F(m)=800m[/tex]
To find:
The composite function can be used to find the force of the object based on its volume.
Solution:
The composite function can be used to find the force of the object based on its volume is:
[tex]F(m(v))=F(4.5v)[/tex] [tex][\because m(v)=4.5v][/tex]
[tex]F(m(v))=800(4.5v)[/tex] [tex][\because F(m)=800m][/tex]
[tex]F(m(v))=3600v[/tex]
Therefore, the correct option is D.
Answer: F(m(v)) = 3,600v
Step-by-step explanation:DDDD
!20 Point! Please help me find the surface area!
PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!
Answer:
192 square inches
Step-by-step explanation:
Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:
As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:
FIND AREA OF ONE TRIANGLE (1/2 x b x h)
1/2 x 8 x 12 = 48 square inches
MULTIPLY BY 4 for SURFACE AREA:
48 x 4 = 192
so the SA is 192 square inches!
brainliest?
Answer:
The base is 12 the height is 8.
Using the formula of finding the area of a triangle: BH x 1/2
8 x 12 x 1/2 = 48 Area of one triangle.
Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.
48 x 4 = 192 in2 is your surface area
(haven't done this in quite a while so make sure to check other answers for more reassurance)
HELP ASAP PLEASE!!!!!
what is the factorization of the polynomial below -x^2-2x+48
I HOPE IT WILL HELP YOU. I DID HOW I KNOW .
A sample of 50 observations is taken from an infinite population. The sampling distribution of : a.is approximately normal because of the central limit theorem. b.cannot be determined. c.is approximately normal because is always approximately normally distributed. d.is approximately normal because the sample size is small in comparison to the population size.
Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.
Since in our question, the sample of observations is 50, n = 50.
Since 50 > 30, then our sample distribution will be approximately normal because of the central limit theorem.
So, a is the answer.
What is the surface area of the right prism?
92 ft2
46 ft2
48 ft2
70 ft2
(will mark brainliest <3)
=========================================================
Work Shown:
L = 8 ft = lengthW = 3 ft = widthH = 1 ft = heightSA = surface area of the rectangular prism (aka block or box)
SA = 2*(LW + LH + WH)
SA = 2*(8*3 + 8*1 + 3*1)
SA = 2*(24 + 8 + 3)
SA = 2*(35)
SA = 70 square feet
This is the amount of wrapping paper you would need to cover all six sides of the box. This assumes that there are no gaps or overlaps.
SOMEONE HELP ME PLEASE
Answer:
Step-by-step on:ơ