Given:
Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces.
To find:
The expressions that can you use to find the length of each piece.
Solution:
It is given that Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces. It means [tex]\dfrac{2}{3}[/tex] is divided in 3 equal parts.
[tex]\dfrac{2}{3}\div 3[/tex]
It can be written as:
[tex]\dfrac{2}{3}\div 3=\dfrac{2}{3}\times \dfrac{1}{3}[/tex]
[tex]\dfrac{2}{3}\div 3=\dfrac{2}{9}[/tex]
Therefore, the required expression is [tex]\dfrac{2}{3}\div 3[/tex] and the length of each piece is [tex]\dfrac{2}{9}[/tex] yards.
Answer:
a and c
Step-by-step explanation:
Which of the following number is not a perfect cube? 64 or 729 or 800 or 1331 can some1 say it fastt plsss
Answer:
800
Step-by-step explanation:
9.28 is answer of cube 800
A polynomial p has zeros when x = 5, x = -1, and x = -1/4
What could be the equation of p?
A. p(x) = (x +5)(x + 1)(4x + 1)
B. p(x) = (x - 5)( x + 1)(4x + 1)
C. p(x) = (x + 5)(x - 1)(4x - 1)
D. p(x) = (5x)(-1x)( - 1/4x)
Answer:
[tex]x=5[/tex] ⇒ [tex](x-5)=0[/tex]
[tex]x=-1[/tex] ⇒[tex](x+1)=0[/tex]
[tex]x=-1/4[/tex] ⇒ [tex](x+1/4)=0[/tex] ⇒ [tex](4x+1)=0[/tex]
[tex]p(x)=(x-5)(x+1)(4x+1)=0[/tex]
[tex]Option(B)[/tex]
-------------------------
Hope it helps...
Have a great day!!
Answer:
p(x) = (x-5) (x+1)(4x+1)
Step-by-step explanation:
We know the equation for a polynomial with zeros is written as
f(x) = a( x-b1) (x-b2)...... where b are the zeros
We have zeros x = 5, x = -1, and x = -1/4
p(x) = a( x-5) (x- -1) (x - -1/4)
p(x) = a (x-5) (x+1) (x+1/4)
Let a = 4
p(x) = 4 (x-5) (x+1) (x+1/4)
p(x) = (x-5) (x+1)(4x+1)
Miss pat bake cupcakes for the school's Tuck Shop .each baking tray can hold one doesen cupcake .she wants to bake 48 cupcakes .how many trays of cupcakes she will need to bake?
A .1
B. 2
C.3
Given that,
→ She wants to bake 48 cupcakes.
We have to find,
The number of trays of cupcakes she will need to bake.
The formula we use,
→ No. of cupcakes ÷ One dozen
Then we can divide,
→ 48 ÷ 12
→ 4 trays
Thus, none of the option is correct.
what is 121 divided by 57,246
Answer:2.1136848
Step-by-step explanation:
Answer:
0.00211368479
Step-by-step explanation:
Si consideramos que el planeta Tierra tiene forma esférica y un radio de 6 371 km, ¿cuál es el área total del planeta Tierra?
Respuesta:
5.101 × 10⁸ km²
Explicación:
Primer paso: Información provista
Radio del planeta Tierra (r): 6371 km
Paso 2: Calcular el área del planeta Tierra
Si suponemos que el planeta Tierra tiene forma esférica, podemos calcular su área (A) usando la siguiente fórmula.
A = 4 × π × r²
A = 4 × π × (6371 km)² = 5.101 × 10⁸ km²
3c + 2 = -22
whats c?
3c+ 2= -22
⇔3c = -22 -2
⇔3c = -24
⇔c= -24/3
⇔c=- 8
Answer:
3c= -22-2
3c= -24
c= -24/3
c= -8
Step-by-step explanation:
-4b + 8c + 12 - 8b -2c & simplify
Answer:
Combine like terms
-4b + 8c + 12 - 8b -2c
-4b - 8b + 8c - 2c + 12
-12b + 6c + 12
6(-2b + c + 2)
What is the equation of a circle with its center at (−6,−3) and a radius of 12?
Answer:
(x+6)^2 + ( y +3)^2 = 144
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -6)^2 + ( y - -3)^2 = 12^2
(x+6)^2 + ( y +3)^2 = 144
Answer:
x² + y² + 12x +6y - 99 = 0
Step-by-step explanation:
Given :
Centre = (-6,-3) Radius = 12 ,Using the Standard equation of circle ,
( x - h)² + (y-k)² = r² ( x +6)² + (y+3)² = 12² x² + 36 + 12x + y² + 9 + 6y = 144 x² + y² + 12x + 6y +45-144 = 0 x² + y² + 12x +6y - 99 = 0if x=3√8, find the value of 1/x
plz its urgent
Answer:
[tex]\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}[/tex]
For each hour he babysits, Anderson earns $1 more than half of Carey's hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey's hourly rate, c? 18 + ?T = 24 What number should be the coefficient of t?
Answer:
The total earnings of Carey in t tours is 12 t - 2 .
Step-by-step explanation:
For each hour he babysits, Anderson earns $1 more than half of Carey's hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey's hourly rate, c? 18 + ?T = 24 What number should be the coefficient of t?
Anderson earns $1 more than half of Carey's hourly rate.
Anderson hourly rate = $ 6
Let Carey's hourly rate is p. Let the time is t hours.
So, Anderson rate is
[tex]6 t = \frac{p t}{2} +1\\\\2\times 6 t = p t + 2 \\\\p t = 12 t - 2[/tex]
Please help with this problem.
Answer:
( 10 m n^3) ^2
Step-by-step explanation:
100 m^2 n^6
Break into pieces
What number times itself gives 100
10*10 = 100
m*m = m^2
n*n*n*n*n*n = n^6 Breaking into two parts
n^3 * n^3 = n^6
( 10 m n^3) ^2
Answer:
[tex](10mn^3)^2[/tex]
Step-by-step explanation:
The square root of 100 is 10.
Divide the exponents of [tex]m^2 n^6[/tex] by 2.
You get: [tex]mn^3[/tex]
Put them together and add on the ^2
You get [tex](10mn^3)^2[/tex]
I hope this helps!
Please help :) angles
Answer:
y = 95
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
y+25 = 120
y = 120-25
y = 95
A rectangle prism has length 12 centimeters and width 4 centimeters. If its surface area is 467 square centimeters, what is the height of the prism
Answer:
11.59 centimeters
Step-by-step explanation:
Use the formula for the surface area of a rectangular prism: A = 2(wl + hl + hw)
Plug in the surface area, length, and width. Then, solve for h:
A = 2(wl + hl + hw)
467 = 2((4)(12) + h(12) + h(4))
467 = 2(48 + 12h + 4h)
467 = 2(48 + 16h)
467 = 96 + 32h
371 = 32h
11.59 = h
So, the height of the prism is approximately 11.59 centimeters
What is 3/4 as a percentage
Answer:
75%
Step-by-step explanation:
A percent is a value out of 100.
Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.
[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]
This fraction represents a percent.
[tex]\frac{75}{100}[/tex] = 75%
please help!!!!!! 50 points!!
Area of first rectangle= 5×2=10units
Area of second rectangle= 3×2= 6 units
Area of third rectangle = 5×2= 10 units
Now,
Total area of figure = 10+6+10= 26units✓
Answer:
26
Step-by-step explanation:
we want to figure out the area of the composite figure notice that the composite figure contains three rectangles therefore in order to find the area of the composite figure we need find the area of the rectangles first
finding the area of the first & last rectangles:
the first and last rectangles are congruent therefore they will have the same area thus
[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = l \times w[/tex]
from the figure we obtain:
[tex]l = 5[/tex][tex]w = 2[/tex]thus substitute:
[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 5\times 2[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 10[/tex]
finding the area of the middle rectangle:
the middle rectangle has a length and width of 3 and 2 respectively Thus
[tex] \displaystyle A _{ \rm 2)rect} =3 \times 2[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \rm 2)rect} =6[/tex]
finding the area of the composite figure:
[tex] \rm \displaystyle A _{ \rm composite} = A _{ \rm 1)rect} + A _{ \rm 2)rect} + A _{ \rm 3)rect} [/tex]
substitute what we got:
[tex] \rm \displaystyle A _{ \rm composite} = 10 + 6 + 10[/tex]
simplify addition:
[tex] \rm \displaystyle A _{ \rm composite} = \boxed{ 26}[/tex]
hence,
the answer is 26 square units
1. The parameter "a": Compare the graphs of several different exponential growth functions in
Mathematica to discover the significance of the parameter "a". Explain in detail what the
parameter "a" tells you about the graph of an exponential growth function.
Answer:
See explanation
Step-by-step explanation:
Required
The significance of "a" in exponential function
An exponential function is represented as:
[tex]y = ab^x[/tex]
In the above equation, parameter "a" is the initial value of the function
In other words, the value of the function when x = 0
Take for instance;
[tex]y = 2*4^x[/tex]
[tex]a = 2[/tex] because when [tex]x = 0[/tex]
[tex]y = 2 * 4^0[/tex]
[tex]y = 2 * 1[/tex]
[tex]y = 2[/tex]
Another significance of parameter a is that; it is the y-intercept of the geometric function.
Mr. Mancuso plants tomatoes on 1/3 acre of land, corn on 3/4 acre, and carrots on 1/2 acre. On how many acres of land total did he plant?
1 acres
1 acres
1 acres
2 acres
Answer:
1 7/12 acres of land
Step-by-step explanation:
Tomatoes = 1/3 acre of land
Corn = 3/4 acre of land
Carrots = 1/2 acre of land
Total acres of land he planted = tomatoes + corn + carrots
= 1/3 + 3/4 + 1/2
= (4+9+6) / 12
= 19/12 acres
= 1 7/12 acres of land
Or
= 1.5833333333333 acres
Total acres of land he planted = 1 7/12 acres of land
None of the given options is correct
What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 100 y = x + 2
Answer:
x = - 8, x = 6
Step-by-step explanation:
Given the 2 equations
x² + y² = 100 → (1)
y = x + 2 → (2)
Substitute y = x + 2 into (1)
x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
2. En una división el dividendo es 445, el divisor es 32, el cociente es 14 y el resto es 7. ¿Está bien hecha? Compruébalo de dos maneras diferentes
Respuesta:
El cálculo no está bien hecho.
el cociente es 13
El resto es 29
Explicación paso a paso:
Dividendo = 445
Divisor = 32
Cociente = 14
Resto = 7
445/32 = 13,90625
El cociente = 13
Resto = (13.90625 - 13) * 32
Resto = 0.90625 * 32
Resto = 29
Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29
Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
A. ∠1 ≅ ∠7
B. ∠2 ≅ ∠6
C. ∠3 ≅ ∠5
D. ∠5 ≅ ∠7
Answer:
Option (B).
Step-by-step explanation:
Here there are two parallel lines c and d cuts by a transversal p.
The angles are formed as shown in diagram.
Here,
[tex]\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)[/tex]
So, the option (B) is correct.
find the mean of the following,-6,-10,-4,8,9,-2,5,6.
[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{( - 6) + ( - 10) + ( - 4) + 8 + 9 + ( - 2) + 5 + 6}{8} \\ = > mean = \frac{6}{8} \\ = > mean = 0.75[/tex]
This is the answer.
A=131+122+199+204 trả lời cho tớ đi
Answer:
A=656 trả lời cho tớ đi...
Find the value of DE.
Answer:
DE = 5
Step-by-step explanation:
The 3 sides of the triangle are congruent , then
DF = EF , that is
[tex]\frac{2}{5}[/tex] a - 15 = [tex]\frac{1}{5}[/tex] a - 5 ( multiply through by 5 to clear the fractions )
2a - 75 = a - 25 ( subtract a from both sides )
a - 75 = - 25 ( add 75 to both sides )
a = 50
Then
DE = EF = [tex]\frac{1}{5}[/tex] × 50 - 5 = 10 - 5 = 5
Yoo plz answer quickly
ooof 2 weeks ago, sorry mate, i want the points doe...
Ethan says that (2x+5)/2 can be reduced to x + 5. Braylon says this is not correct. Who is right and why?
Answer:Braylon is right
Step-by-step explanation:
it is reduced to x+5/2
Answer:
Braylon is correct, after dividing the numbers given I got _::x+5/2::_
and it cant be simplified more
How many tacos could you buy on a Wednesday with 20 dollars and tacos cost 50. cents
Answer:
40 tacos
Step-by-step explanation:
Step 1: Determine how many tacos you can buy
Cost of one taco: $0.50
Money in wallet: $20
So for every $1 you can buy 2 tacos. Therefore, 20 * 2 = 40 tacos
Answer: 40 tacos
Answer:40 tacos
Step-by-step explanation: because yeah
In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment?
Answer:
700 parts
Step-by-step explanation:
To find the total amount of parts in the shipment, all we need to do is divide.
6% = 0.06
42 / 0.06 = 700
Best of Luck!
Somebody give the answer to the question attached please
A football was kicked through the air and it followed the path h\left(s\right)=-3s^2+75h(s)=−3s 2 +75 . Let h\left(s\right)h(s) represent the height of the soccer ball after, s, seconds.
Complete question is;
A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.
Find the time at which the soccer ball hits the ground.
Answer:
s = 5 seconds.
Step-by-step explanation:
We are given the function;
h(s) = −3s² +75
Where;
h(s) is height at time s
s is the time taken
Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.
Thus;
−3s² +75 = 0
−3s² = -75
s² = 75/3
s² = 25
s = √25
s = 5 seconds.
What is sin 28°?
62
8
17
90
15
28
A.
Sooden
O c.
O
Answer:
the sin of 28 degree is 28
Step-by-step explanation:
it's the same degree in radians I hope this help
