[tex]\huge{\mathbb{\tt{QUESTION↓}}}[/tex]
1. in how many ways can you arrange five mathematics books,four science books,and three english books, on a shelf such as that books of the same subject are kept together.
[tex]\huge{\mathbb{\tt{SOLUTION↓}}}[/tex]
[tex]\textsf{ Given that: M=5 , S=4 , E=3}[/tex]
[tex]\begin{gathered}\\\end{gathered} [/tex]
[tex]\textsf{ Using the Linear Permutation:} [/tex]
For Mathematics=5[tex]\sf{P=n!}P=n![/tex]
[tex]\sf{P=5!}P=5![/tex]
[tex]\sf{P=5×4×3×2×1}[/tex]
[tex]\sf{P=120}[/tex]
[tex]\begin{gathered}\\\end{gathered}[/tex]
-------------------------------------------------------------------------------- For Science=4P=n!}
P=4!
P=4×3×2×1
P=24
--------------------------------------------------------------------------------For English=3P=n!
P=3!
P=3×2×1
P=6
--------------------------------------------------------------------------------
Multiply all the permutations:
P=120×24×6
P=17,280
--------------------------------------------------------------------------------
[tex]\huge{\mathbb{\tt{ANSWER↓}}}[/tex]
There are 17,280 ways we can arrange in a shelf.
#CarryOnLearning
#LetsEnjoyTheSummer
→XxKim02xXWrite an equation of the line below.
Answer:
y = -x
Step-by-step explanation:
This has a negative slope. :)
Answer:
y=-6/8x+0.
Step-by-step explanation:
You go up 6 from the point, 8 to the left, getting you to the y intercept. Which is 0.
Can someone please help me with math oh ya no links pls
I think its option c, if you reflect it over the y axis it will be right above it and if you go 270 degrees counter clockwise thats like going from 9 pm to 12 am
12 am is right above 9 pm but it occurs before 9pm.
(PLS HELP ) Find the product of
(−3y+1)(4y2−y−7).
Answer: -12y²+7y²+20y-7
Step-by-step explanation:
Here, we need to use the concept of the FOIL method
First Outer Inner Last----------------------------------------------------------
Given
(-3y+1)(4y²-y-7)
Expand Parenthesis using FOIL
-12y³+3y²+21y+4y²-y-7
Put like terms together
-12y³+(3y²+4y²)+(21y-y)-7
Combine like terms together
-12y²+7y²+20y-7
Hope this helps!! :)
Please let me know if you have any questions
Find the area of the shaped region
Answer:
Assuming π is represented by 3.14, the correct answer is [tex]50.24m^2[/tex].
Step-by-step explanation:
Because the question is asking for the area of the shaded region, you can ignore the non-shaded versions of the diagram. The formula of finding the area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle. Since the radius of the shaded circle is [tex]4m[/tex], you can infer that the area of the shaded region would be [tex]4^2 * 3.14[/tex] = [tex]16*3.14[/tex] = [tex]50.24m^2[/tex].
Mrs. King has earned a pay increase. Her starting salary
was $36,000. Her new salary is 110% of her starting salary.
What is her new salary?
Answer:
39,600
Step-by-step explanation:
Free answer
Write the quadratic equation in standard form:
-3x^2 + 2x + 6 = -x^2
Answer:
Hi! The answer to your question is -2x^2+2x+6=0
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Find the value of x
X
Answer:
20 or 18
Step-by-step explanation:
The value of x is 10.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
From the triangle it can be assume that ΔPSR is similar to ΔPQR.
Then, the ratio of corresponding sides of triangles are proportion.
So, PQ/ PS = QR/ RS
9/15 = 6 /x
9x = 90
x= 90/9
x= 10
Thus, the value of x is 10.
Learn more about proportion here:
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please find the sum of difference of (-12) + (-38)
will give brainliest
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
Math question pls help
Answer:
170 pages
Step-by-step explanation:
Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 inches high with a radius of 5 inches Gerardo uses an ice cream scoop that makes spherical scoops of ice cream with a diameter of 2.5 inches If gerardo opens a new tub of chocolate ice cream and scoops 37 scoops of chocolate ice cream about how much chocolate ice cream in cubic inches is left in the tub
Answer:
Volume left = 404.32 cubic inches
Step-by-step explanation:
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
volume of ice cream in the cylindrical tub = [tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex] x 9
= [tex]\frac{22}{7}[/tex] x 25 x 9
= 707.1429
Volume of ice cream in the cylindrical tub is 707.14 cubic inches.
The ice cream scoop has a spherical volume, so that;
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
r = [tex]\frac{2.5}{2}[/tex]
= [tex]\frac{5}{4}[/tex] inches
volume of the scoop = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](\frac{5}{4} )^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]\frac{125}{64}[/tex]
= 8.1845
volume of the scoop is 8.19 cubic inches.
If he scoops 37 scoops,
volume of the 37 scoops = 37 x 8.1845
= 302.8265
volume of 37 scoops is 302.83 cubic inches.
Volume of ice cream left in the tub = 707.1429 - 302.8265
= 404.3164
Volume of ice cream left in the tub is 404.32 cubic inches.
Helppp law of sines and law of cosines
Answer:
[tex]\displaystyle ST ≈ 15,9\\ RT ≈ 30,8 \\ m∠S = 111°[/tex]
Step-by-step explanation:
First off, find [tex]\displaystyle m∠S:[/tex]
[tex]\displaystyle 180° = 58° + 31° + m∠S → 180° = 89° + m∠S \\ 111° = m∠S[/tex]
Now that the third angle has been defined, we can move move forward with solving for a second edge, using the Law of Sines, but before proceeding, here are some things you should know about this triangle:
Edge s [RT] → [tex]\displaystyle m∠S[/tex]Edge t [RS] → [tex]\displaystyle m∠T[/tex]Edge r [ST] → [tex]\displaystyle m∠R[/tex]Now that we have the information, we can proceed with the process:
[tex]\displaystyle \frac{t}{sin∠T} = \frac{s}{sin∠S} = \frac{r}{sin∠R} \\ \\ \frac{28}{sin\:58°} = \frac{s}{sin\:111°} → \frac{28sin\:111°}{sin\:58°} → 30,82402055... = s \\ 30,8 ≈ s[/tex]
_______________________________________________
Now that RT has been defined, we can now proceed to solving the third edge, using the Law of Cosines:
[tex]\displaystyle s^2 + r^2 - 2sr\: cos∠T = t^2 \\ t^2 + r^2 - 2tr\: cos∠S = s^2 \\ t^2 + s^2 - 2ts\: cos∠R = r^2 \\ \\ 28^2 + 30,8^2 - 2[28][30]\: cos\:31° = r^2 → 784 + 948,64 - 1680\: cos\:31° = r^2 → \sqrt{254,1978397...} = \sqrt{r^2} → 15,94358303... = r \\ 15,9 ≈ r[/tex]
Your triangle is now complete!
I am joyous to assist you at any time.
Answer:
Step-by-step explanation:
In this case, you would use law of sines due due you being given two angles and one side.
LAW OF ANGLES IN TRIANGLES: 180 - a - b = c
So in this case: 180 - 31 - 58 = m<S = 91
LAW OF SINE: sin A / a = sin B / b = sin C / c
So in this case: sin 31 / ST = sin 58 / 28
28 sin 31 / sin 58 = ST = 17.0
sin 58 / 28 = sin 91 / x
28 sin 91 / sin 58 = RT = 33.0
if a car goes 204 miles in 3 hours, how far will it go in 7 1/2?
Hola children help me pls
Answer:
31
Step-by-step explanation:
The entire straight line is 180 degrees. So, if angle a is 25 degrees we would subtract that from 180. This would give us 155 degrees. You would then add 2x and 3x together to get 5x. 155/5x would be 31. Your x value is then 31.
Answer and Step-by-step explanation:
We know that a is equal to 25.
Let's subtract that from the entire angle measure of line segment AB, which is 180.
180 - 25 = 155.
Now, we need to find the value of x. We can do this by adding together the other two angles, and equal it to 155.
155 = 2x + 3x
155 = 5x
31 = x
So, the value of x is 31.
#teamtrees #PAW (Plant And Water)
select all the expressions that equal.. *see picture for problem*
Answer:
Step-by-step explanation:
oknjbgfkdfrgn jnfbfl
The volume of the trapezoidal prism is m?.
The volume of a trapezoidal prism is 471.5 m³.
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
The altitude is the measurement of the angle perpendicular to the parallel sides.
The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.
We know volume of a trapezoidal prism is [(1/2)×(b₁+b₂)×h}×H.
Therefore, The volume of this trapezoid is,
= (1/2)×(24 + 19)×21 m³.
= (1/2)×(43)×21 m³.
= 471.5 m³.
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PLEASE ANSWER! 20 Points
What is the area of this figure?
Enter your answer in the box.
Answer:
area of the figure= 58.3ft²
Step-by-step explanation:
area of the figure= area of trapezoid+ area of a rectangle
area of the figure= [½(a+b)*height]+ (length*breadth)
area of the figure= [½(3+14)*3]+ (11*3)
area of the figure=25.3+ 33
area of the figure= 58.3ft².
Use technology to solve for x 3^x -4 = 6x -7
Answer:
there is no solution for X
Step-by-step explanation:
Which of the following statements about the similarity between rectangles and squares is not true?
Both rectangles and squares are quadrilaterals.
Both rectangles and squares have two sets of parallel sides.
Both rectangles and squares have four right angles.
Both rectangles and squares have four sides of equal length.
Answer:
Both rectangles and squares have four sides of equal length
b) –3/5x + 5 + x = –7
Pls daje naj
Answer:
x = -30
Step-by-step explanation:
I'm assuming you want us to find the value of x, so:
–3/5x + 5 + x = –7
Subtract 5 from both sides
-3/5x + x = -12
multiply by -1
3/5x - x = 12
add like terms:
-2/5x = 12
multiply by -2.5
x = -30
What is the rock cycle? Select the best two answers from the choices below.
a
The primary indicator of climate change
b
A series of processes that create and transform the types of rocks in Earth's crust
c
A concept in geology that describes transitions and relationships among the three main rock types
d
A way to show how Earth's different spheres interact with one another
Answer:
A concept in geology that describes transitions and relationships among the three main rock types
please mark as brainliest.
Answer:
b. A concept in geology that describes transitions and relationships among the three main rock types. and
c. A series of processes that create and transform the types of rocks in Earth's crust
Step-by-step explanation:
ive studied and this is correct because i took the test and i got it correct
please give me 5 stars
You conduct a survey in your school to find out each student's favorite fast food restaurant, and you want to create a graph showing the percentage of students who chose each restaurant. Which is the appropriate graph? stem-and-leaf
circle graph
line graph
scatter plot
Answer:
circle graph
Step-by-step explanation:
A circle graph (pie graph) will show us the percentage the best way.Answer:
answr is circle graph
Step-by-step explanation:
please help me with this please, this is due in a couple of minutes.
Answer:
There are 42 dogs and 105 cats at the shelter. To find the number of rabbits, subtract these numbers from the total number of animals at the shelter. So there are 21 rabbits at the shelter.
Step-by-step explanation:
Because there are 168 animals at the shelter and [tex]\frac{1}{4}[/tex] of the animals are dogs, you can infer that there are [tex]\frac{168}{4}[/tex] or 42 dogs at the shelter. The question says that [tex]\frac{5}{6}[/tex] of the remaining animals are cats, which you can get two things from this statement: #1, [tex]\frac{5}{6}[/tex] of the remaining animals (not including dogs) are cats in the shelter. #2, [tex]\frac{1}{6}[/tex] of the remaining animals (not including dogs) are rabbits in the shelter, since that is the remaining number of animals left that aren't cats or dogs. Using this, you can get the number of cats is the number of dogs subtracted by the total number of animals at the shelter and multiplied by [tex]\frac{5}{6}[/tex], which would be [tex]\frac{5}{6}[/tex](168 - 42) = [tex]\frac{5}{6}[/tex]*126 = 5 * 21 = 105 cats at the animal shelter. Since the number of rabbits is [tex]\frac{1}{5}[/tex] the number of cats in the shelter ([tex]\frac{5}{6}[/tex] = [tex]\frac{1}{6}[/tex] * 5), that means there are [tex]\frac{105}{5}[/tex] or 21 rabbits at the animal shelter, and that we'd need to subtract the number of cats and dogs from the total number of animals at the shelter to find the number of rabbits.
Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the tangent line at this point?
Answer:
Length of the radii of the circles → 4 units and 1 unit
Equation of common tangent → x = 4
Step-by-step explanation:
From the figure attached,
Length of radii of each circles are,
Radius of circle S = 4 units
Radius of circle T = 1 unit
Common point where the circles are touching → (4, 1)
Common tangent to these circles is a line perpendicular to x-axis passing through x = 4,
Equation of the tangent will be,
x = 4
(pls answer this) (no links) (pls explain )
Answer:
2(3.5g - 4.5h)
Step-by-step explanation:
factoring the expression (i think that what its called) i divided the expression into two and then put two on teh isde of the parenthesis to show that you multiply it again
2
A housekeeper had
3
of a spray bottle of a cleaning solution. He used
How much of the bottle did he use?
Answer: 123
Step-by-step explanation: Stop cheating idiot
PLEASE HELP I WILL MARK BRAINLIEST!!
Answer:
79 degrees.
Step-by-step explanation:
There are 7 total temperatures, 68, 82, 81, 82, 74, 75, and 91 degrees. To find the mean, we add all of the temperatures together and divide it by the number of tempuratures-- 7.
68+82+81+82+74+75+91 = 553.
553 / 7 = 79.
Hope this helps!
Which algebraic expressions are binomials? Check all that apply. xy x2y – 3x 6y2 – y y2 + 4xy – x2 +
Answer:
4xy are binomials because it only had one term
Answer:
the answers are B, C, E
Step-by-step explanation:
x2y – 3x
6y2 – y
4xy – two-fifths
FIND THE THE
MISSING ANGLE:
31°
29
Answer:
120°
Step-by-step explanation:
31 + 29 = 60
180 - 60 = 120
140% of 15 step explanation?
Answer:
21
Step-by-step explanation:
Write the problem as a mathematical expression.
140% ⋅15
Convert 140 % to a decimal.
1.4 ⋅15
Multiply 1.4 by 15.
21
Hope that helps!