Answer:
B.) x + (x + 16) = 90
2x+16=90
2x=90-16
x=74/2
x=37
Aina builds a cube model out of manila cards. If the volume of the constructed cube is (2+3p) ³ cm³, find the total surface area of the cube in terms of p.
HELPPPP
Given:
The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]
To find:
The total surface area of the cube in terms of p.
Solution:
Volume of a cube is:
[tex]V=a^3[/tex] ...(i)
Where, a is the side length.
It is given that,
[tex]V=(2+3p)^3\ \text{cm}^3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2+3p\text{ cm}[/tex]
Now, the total surface area of a cube is:
[tex]A=6a^2[/tex]
Where, a is the side length.
Putting [tex]a=2+3p[/tex], we get
[tex]A=6(2+3p)^2[/tex]
Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].
There is a population of 5 bacteria in a colony. If the number of bacteria doubles every minute, which function can be used to determine what the population will be x minutes from now?
Answer:
[tex]f(x) = 5 *2^x[/tex]
Step-by-step explanation:
Given
[tex]a=5[/tex] -- initial
[tex]r = 2[/tex] --- rate (i.e. double)
Required
The function to represent the scenario
The above scenario represents an exponential function where
[tex]f(x) = ar^x[/tex]
So, the function is:
[tex]f(x) = 5 *2^x[/tex]
i need help i don't understand #3
Answer:
I can't understand number 6 sorry :(
7. The DO side is the hypotenuese8.
8. 107.62
Step-by-step explanation:
The formula for this is:
[tex]a^2+ b^2 = c^2[/tex]
66 × 66 = 4,356
85 × 85 = 7,225
4356 + 7225 = 11,581
[tex]\sqrt{11,581}[/tex] ≈ 107.62
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Pls help me with this
Answer:
12
Step-by-step explanation:
f(-7) = 5-(-7)=5+7=12
In the rectangle below, EI = 2x+6, FI = 5x-6, and m ZIFE = 49º.
Find E G and m ZIGF.
E
F
m ZIG
H
G
Answer:
gdfhddfdhgbg
Step-by-step explanation:
solve number 2 please
Answer:
a) 6x² + 2x + 4
b) 32 cm
Step-by-step explanation:
a) In terms of x ,
Perimeter of the figure =
[tex](x+2) + (x^2) + (x^2) + (x+2) + (4x^2)[/tex]
[tex]= 6x^2+2x+4[/tex]
b) If x = 2cm ,
Perimeter of the figure [tex]= 6 \times (2)^2+2 \times (2)+4[/tex]
[tex]= 24 + 4 + 4[/tex]
[tex]= 32\;cm[/tex]
Complete the equation describing how x and y are related.
Answer: The "?" would equal 1.
Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.
Find the distance between the two points in simplest radical form.
(7,-1) and (9,-9)
Answer:
[tex]\sqrt{68}[/tex]
Step-by-step explanation:
(7 , -1) = (x1 , y1)
(9 , -9) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]
=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]
=[tex]\sqrt{4 + (-8)^2}[/tex]
=[tex]\sqrt{4 + 64}[/tex]
=[tex]\sqrt{68}[/tex]
Answer:
[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]
Step-by-step explanation:
[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]
[tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]
what is the midpoint of the mine segment graph below
Answer:
(4, 7/2)
Step-by-step explanation:
Take the mean of the x-coordinates and the mean of the y-coordinates.
x = (-1 + 9)/2 = 8/2 = 4
y = (2 + 5)/2 = 7/2
Answer: (4, 7/2)
Find the area of the shape 11cm 14cm 9cm 20cm who ever answers correctly gets brainlist
Answer:
Step-by-step explanation:
Given : shape 14cm 11cm 9cm 20cm
To Find : Find area
Solution:
20 - 1 1 = 9 cm
We can divide figure in 2 parts
rectangle = 14 cmx 11 cm
square = 9 cm x 9 cm
Area of rectangle = 14 * 11 = 154 cm²
Area of square = 9 * 9 = 81 cm²
Total area = 154 + 81
= 235 cm²
Learn More :
Find the area of the given figure withTU = 6 cm, SR = 8 cm, UR = 15 ...
brainly.in/question/14804329
In the figure, triangle ABC in the semi circle . Find the area if the ...
brainly.in/question/13845921
Answer:
Area = 235 square cm
Step-by-step explanation:
Given : shape 14cm 11cm 9cm 20cm
To Find : Find area
Split the figure into rectangle and square:
Rectangle : 14 x 11
Square : 9 x 9
[tex]Area \ of \ rectangle : 14 \times 11 = 154 \ cm^2[/tex]
[tex]Area \ of \ square = 9 \times 9 = 81 \ cm^2[/tex]
[tex]Total \ area = 154 + 81 = 235 \ cm^2[/tex]
Check 2. The circumference of a circle is C centimeters. The diameter of the circle is 6 centimeters. Write an expression that represents the value of n.
Answer:
radius of circle = 3cm
circumference = 18.84cm
diameter = 6cm
Step-by-step explanation:
if the diameter of circle is 6cm
radius of circle = diameter/2
= 6/2
= 3
circumference of circle = 2[tex]\pi[/tex]r
= 2 x 3.14 x 3
= 6.28 x 3
= 18.84
Mark me as braniestPlease help Ill give brainlest
Answer: D
Step-by-step explanation:
What is the lcm of 48 and 54
Answer:
LCM IS 48 × 52 BUT U HAVE TO MULTIPLY NUMERATOR BY DENOMINATOR
Step-by-step explanation:
LCM OF 48 AND 54 = 2×3×2×3×3×2×2
=
[tex]16 \times 27[/tex]
432
El sueldo bruto de un trabajador de la educación es de 900.000 pesos, si el descuento total que le harán corresponde al 20% de su sueldo ¿Cuánto será su sueldo líquido?
Answer:
Sueldo neto= $160.000
Step-by-step explanation:
Dada la siguiente información:
Sueldo bruto= $200.000
Descuento total= 20%
Para calcular el sueldo neto, debemos usar la siguiente formula:
Sueldo neto= sueldo bruto* (1 - porcentaje de descuento)
Sueldo neto= 200.000*( 1 - 0.2)
Sueldo neto= $160.000
Help please! The area of a swimming pool is 45 square meters. The width of the pool is 3 meters. What is the length of the pool in centimeters?
Answer: 15 m
Step-by-step explanation:
Given
The area of the swimming pool is [tex]A=45\ m^2[/tex]
Width of the pool is [tex]w=3\ m[/tex]
Suppose l is the length of the pool
So, the area is given by the multiplication of length and width
[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]
So, the length of the pool is 15 m.
What is the Greatest Common Factor of: 16x^6y^4+4^x4y^3−20x^5y
Answer:
36x
Step-by-step explanation:
The science department orders a new telescope and pays $253.87 after tax. The tax rate is 6% . What was the original price of the telescope
Answer: dont listen to the answer above
Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet
Two turtles race. The speed of the first is 4 1/ 2 inches per minute and the speed of the other is 5 inches per minute How far apart the be in 3 minutes 5 minutes? 10 minutes?
Answer:
(a) 1.5 inches
(b) 2.5 inches
(c) 5 inches
Step-by-step explanation:
speed of first turtle = 4 1/2 inches per minute = 9/2 inches per minute
speed of the second turtle = 5inches per minute
distance = speed x time
(a) Distance traveled by first turtle in 3 minutes
s = 9/2 x 3 = 13.5 inches
distance traveled by second turtle in 3 minutes
s' = 5 x 3 = 15 inches
So, the gap is
s'- s = 15 - 13.5 = 1.5 inches
(b) Distance traveled by first turtle in 5 minutes
s = 9/2 x 5 = 22.5 inches
distance traveled by second turtle in 5 minutes
s' = 5 x 5 = 25 inches
So, the gap is
s'- s = 25 - 22.5 = 2.5 inches
(c) Distance traveled by first turtle in 10 minutes
s = 9/2 x 10 = 45 inches
distance traveled by second turtle in 10 minutes
s' = 5 x 10 = 50 inches
So, the gap is
s'- s = 50 - 45 = 5 inches
A pattern starts at 3 and follows the rule 5
What point on each number on the number line that is in the pattern
need help?
Step-by-step explanation:
just try plotting on a number line
Nicole paint a circle table that has a diameter of 37 in what is the area of the table
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
4n+11−2n what is the solution for this equation.
Answer:
2n +11
Step-by-step explanation:
4n+11−2n
Combine like terms
4n -2n +11
2n +11
Answer:
2n+11
Step-by-step explanation:
Chau will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.15 per mile driven.
Answer:
175 Miles has to be driven to do the plans cost the same.
Step-by-step explanation:
Assume The Chau Drive Y miles .
We Have Given Two Plans ,
First Plan = 50$ + 0.19$ × Y Second Plan = 57$ + 0.15$ × YNow,Put First Plan=Second Plan (When Both Plans Cost The Same)
50$ + 0.19$ × Y = 57$ + 0.15$ × Y
0.04$ × Y = 7 ⇔ Y = 175 Miles
Please help me with this. Ill give you a brainliest.
Answer:
7. Circumcenter is (5,8)
8. Circumcenter= (-4,-5)
9. Circumcenter= (-4,9)
10. Circumcenter= (5.5, -5.5)
The thickness of 12 sheets of paper is 3.16mm. Find the thickness of 1 sheet
Answer:
79/300 mm
Step-by-step explanation:
We can use Ratio and Proportion to answer this question,
We know,
12 sheets of paper = 3.16mm
So,
1 = 3.16/12 mm
So, the thickness of 1 sheet of paper is => 3.16 / 12
=> 79/300
Hope it helps :)
Answer:
Step-by-step explanation:
Thickness of 1 sheet = thickness of 12 sheets ÷ number of sheets
= 3.16 ÷ 12
= 0.26 mm
5.
Which of the quadratic functions has the narrowest graph?
A. [tex]y=-2x^2[/tex]
B. [tex]y=\frac{1}{2} x^2[/tex]
C. [tex]y=\frac{1}{7} x^2[/tex]
D. [tex]y=-4x^2[/tex]
Answer:
C. y= 1/7x2
Step-by-step explanation:
The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.
How does the graph of
g(x) = 0.5(2)*-3 – 1
compare to the graph of
the parent function
f(x) = 2*?. Write a full
description.
Answer:
Here we have:
f(x) = 2^x
g(x) = 0.5*2^(x - 3) - 1
We want to compare g(x) and f(x).
The first thing we should do here, is to define the transformations used.
Vertical translation:
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
if N > 0, the translation is upwards
if N < 0, the translation is downwards.
Horizontal translation:
For a function f(x), a horizontal translation fo N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left
if N < 0, the translation is to the right.
Vertical dilation:
For a general function f(x), a vertical dilation of scale factor k is written as:
g(x) = k*f(x).
Ok, now let's start with f(x), and try to use transformations to construct g(x).
We start with f(x).
If we start with a vertical dilation of scale factor k = 0.5, then:
g(x) = 0.5*f(x)
if now we apply a horizontal translation of 3 units to the right, we get:
g(x) = 0.5*f(x - 3)
if now we apply a vertical translation of 1 unit down, we get:
g(x) = 0.5*f(x - 3) - 1
Replacing by the actual function we get
g(x) = 0.5*2^(x - 3) - 1
So we got g(x).
Then, the graph of g(x) is the graph of f(x) dilated vertically by a scale factor of 0.5, then moved to the right 3 units, and then moved down one unit.
Can y’all help me find the volume of this?
Answer:
1795.5 [tex]m^3[/tex]
Step-by-step explanation:
find area of base (it's a trapezoid)
[tex]\frac{b_1+b_2}{2} *h\\\\=\frac{11+16}{2} *9.5\\\\= 13.5*9.5\\\\=128.25[/tex]
multiply area of base by height
128.25 x 14
= 1795.5 [tex]m^3[/tex]
Un frutero ha comprado 165kg de manzanas a 2 € el kilo; se le han estropeado 15 kg y el resto los vende a 4 € el kilo. ¿ Cuánto ha ganado? ( 1,25p)
Answer:
€270
Step-by-step explanation:
If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;
Cost price = 165 * 2 = €330
If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg
If he rests he sells for € 4 per kilo, then;
Selling price = 150 * 4 = €600
Amount earned = €600 - €330
Amount earned = €270
Leslie cuánto de interés ganara Leslie sí presta 5000 durante tres años con el interés simple anual de 5%
Answer:
lokókà
haha
Step-by-step explanation:
góbôńìkásó
I NEED HELP ASAP PLEASE ILL GIVE YOU MORE POINTS HELPPP!:(
Answer:
1st one is 9
2nd one is 6
3rd one is 2
Step-by-step explanation: