Answer:
in the question,there is no dot plot
The final task is a bit more difficult. The bookshelf consists of two cubes and each cube has a side of (1/2). This is a fractional base, so the expression for both cubes looks like this: (1/2)^3 x 2. Calculate the volume of the bookshelf to complete your training!
Answer:
1/4
Step-by-step explanation:
I think that the expression is correct
(1/2)^3 x 2 = 1/8 x 2 = 1/4
If point M (4, 6) is rotated 90 degrees clockwise around the origin, what are the coordinates of the copy for point M?
Answer:
6,-4
Step-by-step explanation:
The new position of point M (h, k) will become M’ (k, -h).
Answer:4,-5
Step-by-step explanation:
A company is placing an order for boxed lunches for a meeting of its executive board. There are 10 members of the board and each will have one lunch. The company is getting the lunches from a restaurant that has 25 varieties of boxed lunches.
Required:
a. How many different ways are there for the company to place the lunch order for the 10 lunches?
b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?
Answer:
a) There are 93,367,432,000,000 ways to place the lunch order.
b) There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
a. How many different ways are there for the company to place the lunch order for the 10 lunches?
For each of the 10 lunches, there are 25 options. So
[tex]25^10 = 93,367,432,000,000[/tex]
There are 93,367,432,000,000 ways to place the lunch order.
b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?
The order is important, which means that the permutations formula is used to solve this question. So
[tex]P_{(25,10)} = \frac{25!}{(25-10)!} = 11,861,676,000,000[/tex]
There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.
does a trapezoid have exactly one pair of parallel sides always?
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
Question
( 10 + 5x )7
Lets solve this easily.
So, basically, 10 + 5x is 15 but we still didn't
get rid of the x so therefore it's still 15x and then there's 7 so we multiply 15 x 7 giving us 105x.
Hence, the answer is.
(C), 70 + 35x is the answer.
I WILL GIVE YOU 100 points and Braine at Math Properties of Equality, Part 2
For each expression, write an equivalent expression to show the
mathematical properties of equality.
Distributive Property:
6(m +4) = ?
Associative Property:
2 + (m + x) = ?
Commutative Property:
x + 3 = ?
Distributive Property:
3(2y - 6) = ?
Distributive Property:
m(y + 5) = ?
Answer:
1. 6(m + 4) = 6m + 24
2. 2 + (m + x) = (2 + m) + x
3. x + 3 = 3 + x
4. 3(2y - 6) = 6y - 18
5. m(y + 5) = my +5m
Step-by-step explanation:
1. Distributive property "distributes"/multiplies the 6 outside the parentheses to each term inside the parentheses.
2. Associative property deals with how terms and numbers are grouped into parentheses. The terms/numbers stay in the same order.
3. The commutative property means terms can change in order, and you will still get the same result.
4, 5. See #1 above. Distribute/multiply the number/term outside the parentheses to the numbers/terms inside.
Let me know if you have questions.
(this is a practice question)
Answer:
<GHI = 135 degrees
Step-by-step explanation:
(3x + 12) + (x + 4) = 180
4x + 16 = 180
4x + 16 - 16 = 4x
180 - 16 = 164
4x = 164
4x / 4 = x
164 / 4 = 41
x = 41
3 * 41 + 12
3 * 41 = 123
123 + 12 = 135
can you help me with this
Answer:
A=168 ft²
Step-by-step explanation:
18×8=144
0.5*8*6=24
24+144=168
Please help for today
Answer:
football and soccer looks right :)
Step-by-step explanation:
Plz help! Pretty easy problems!
Answer:
The first is 9 sq.units
The second is 8 sq units
The third is 180mm squared
Step-by-step explanation:
answer pls ill give bainliest!
Answer:
the right scale factor is 2.5
Step-by-step explanation:
just divide 5 by 2
Answer:
False im not sure sorry
The function y=(-1/2)x - 6 was the result of shifting the graph S units down. Find the following.
a.vertex
b.axis of symmetry
c.roots
Answer:
X is 9
axis 2 north
roots 2/1
Find the solution to the system of equations.
3x + 2y - 4z= 3
3
x - 4y + 2z= -11
2x + y - 2z = 2
A. x = 3, y = 2, z = 4
B. x = 1, y = 4, z = 2
O C. x = 6, y=-3, z = -4
O D. x= 1, y = 6, z = 2
Answer:
B.
[tex]x = 1 \\ y = 4 \\ z = 2[/tex]
The solution to the system of equations is x-1, y = 4 and z= 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the equation
3x + 2y - 4z = 3
x -4y +2z = -11
2x + y + 2z = -11
Solving the above equation we get
3x + 2y - 4z - 3x + 12y + 6z = 3 + 33
14y + 2z = 36
and, 2x - 8y + 4z - 2x - y - 2z = -22 + 11
-9y + 2z = -11
So, y =4 and z = 2
and, x = 1
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Please answer quick just super small explanation pls hurry quick for brainlessly answer
What is m<4? Pls help me
Answer:
65°
Step-by-step explanation:
180-115=65
Please round to nearest hundredth and give explanation.
Answer:
I think PR = 20 but I'm not sure
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=38°, and RS = 1.2 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
1.9
Step-by-step explanation:
hello i hope you are having a nice day can somebody help me with this question thanks
Answer:
12.25 un
Step-by-step explanation:
-the formula for the area of a triangle is A=(1/2)bh or Area=(1/2)×Base×Height
to find the base you need to take 7.5 and subtract 2.5 the divide in half for each base of the triangles to get 2.5 for the bases.
then take your formula and multiply:
0.5×2.5×2.5=3.125×2=6.25 and you get the area of the triangles.
then do the area of the center square which is:
2.5×2.5=6 for the center
then add:
A=6.25+6=12.25
What number is 73 1/4th of
Step-by-step explanation:
70x4=280
12x4=48
48+280=328
The slope of a line is – 3, and a point on the line is (4, -1).
What is the equation of the line expressed in slope-intercept form?
Answer:x=6
Step-by-step explanation:
Help pls!!!! Pls explain how you got the answer if you can!!! Have a blessed day
Also if you don’t know the exact answer answer and comments. And pls don’t waste my points this assignment is very important
Step-by-step explanation:
for perimeter you just add up all of the sides so :
(x+4) +( 2x)+(4x-2)+(3x-1) = 10x +1
Sandra saves 12% of her salary for retirement. This year her salary was $3,000 more than in the previous year, and she saved $4,200. What was her salary in the previous year?write an equatio____.sandre's salary in the previous year was___
Answer:
44
Step-by-step explanation:
WILL GIVE BRAINLEIST SO PLZ HELP IM VERY DESPERATE!
Answer: easy is 6/5
Step-by-step explanation:
Here why 3/2 times 4/5
Given the geometric sequence tn with t1=96 and r=−1/4, find t4.
Give your answer as a fraction, if necessary. Do not include "t4=" in your answer. For example, if you found t4=9, you would enter 9.
Answer:
3/2
Step-by-step explanation:
Given
[tex]t_1 = 96[/tex]
[tex]r = \frac{1}{4}[/tex]
Required
Find t4
The nth term of a geometric sequence is calculated as:
[tex]t_n = t_1 * r^{n-1[/tex]
So:
[tex]t_4 = t_1 * r^{4-1[/tex]
[tex]t_4 = t_1 * r^3[/tex]
This gives:
[tex]t_4 = 96 * \frac{1}{4}^3[/tex]
[tex]t_4 = 96 * \frac{1}{64}[/tex]
Express as a single fraction
[tex]t_4 = \frac{96}{64}[/tex]
[tex]t_4 = \frac{3}{2}[/tex]
Hence, the 4th term is 3/2
Find slope of (2,3) and (-5,6).
Answer:
Slope is 3/-7
Step-by-step explanation:
[tex]slope = \frac{6 - 3}{ - 5 - 2} = \frac{3}{ - 7} [/tex]
Find the ratio of the similar figure (red to blue) for the perimeter and area
15
6
What is the Perimeter and area
A can of paint is a right circular cylinder. The radius of the base is 5 centimeters and the height is 12 centimeters. Find the number of cubic centimeters of paint, in terms of π, contained in a full container.
Answer:
The answer is 300
The number of cubic centimeters of paint contained in the full jar container is n = 300 and the volume is V = 300π cm³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
The volume of a right circular cylinder can be calculated using the formula:
V = πr²h
where V is the volume, r is the radius of the base, and h is the height.
Substituting the given values, we have:
V = π(5 cm)²(12 cm)
V = π(25 cm²)(12 cm)
V = 300π cm³
Hence , a full container of paint contains 300π cubic centimeters of paint.
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Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5.7% over the previous year. Write an exponential function f(x) that models the tons of cherries produced by cherry hill orchards x years after 2012
A. f(x) = 500(1.057)^x
B. f(x) = 50(1.057)^x
C. f(x) = 500(0.057)^x
D. f(x) = 500(1.57)^x
Answer: A, f(x) = 500(1.057)^x
Questão 11 - Um investidor aplicou
a quantia de R$ 500,00 em um fundo
de investimento que opera no regime
de juros simples. Após 6 meses o
investidor verificou que o montante
era de R$ 560,00. Qual a taxa de
juros desse fundo de investimento?
Answer:
A taxa de juros desse fundo de investimento é de 24% ao ano.
Step-by-step explanation:
Esta é uma questão que envolve juros simples.
A quantidade de juros acumulados depois de t anos é dado por:
[tex]J = P*r*t[/tex]
Em que P é o investimento inicial, r é a taxa de juros, é t é o tempo, em anos.
O montante é dado por:
[tex]M = J + P[/tex]
Um investidor aplicou a quantia de R$ 500,00.
Isso significa que [tex]P = 500[/tex]
Juros acumulados:
Montante era de R$ 560,00, o que significa que [tex]M = 560[/tex]
Então, a quantidade de juros acumulados é dada por:
[tex]M = J + P[/tex]
[tex]J = M - P = 560 - 500 = 60[/tex]
Taxa de Juros:
6 meses é meio ano, o que implica que [tex]t = 0.5[/tex]
Então
[tex]J = P*r*t[/tex]
[tex]60 = 500*r*0.5[/tex]
[tex]250r = 60[/tex]
[tex]r = \frac{60}{250}[/tex]
[tex]r = 0.24[/tex]
A taxa de juros desse fundo de investimento é de 24% ao ano.
A rectangular pool is drained of water until it is only half full.
If the length of the pool is 5.5m,
the breadth is 12m and the height is 18m, find the volume of water drained in liters.
Answer:
[tex]Volume = 594m^3[/tex]
Step-by-step explanation:
Given
[tex]Length = 5.5m[/tex]
[tex]Breadth = 12m[/tex]
[tex]Height =18m[/tex]
Required
The volume when it is half full
The height, when half full is:
[tex]h = 0.5 *Height[/tex]
[tex]h = 0.5 *18m[/tex]
[tex]h = 9m[/tex]
So:
The volume is:
[tex]Volume = Length * Breadth*h[/tex]
[tex]Volume = 5.5m * 12m * 9m[/tex]
[tex]Volume = 594m^3[/tex]