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].
in chemistry class, Rhonda measured 9.5 grams of a substance how many milligrams is this?
In a group of 65 persons 20 drink tea but not coffee, 38 drink tea and 15 take neither of the tow then find How many drink tea and coffee both?
Answer:
18
Step-by-step explanation:
38 drink tea but 20 drink tea only.
38-20 =18 drink tea.
what is the factor of 3x^+9x-12
Answer:
Hi, there your answer will be 3(x−1)(x+4)
Step-by-step explanation:
Which of the following is the range of the function based on the input-output
table below?
Hours
of training
Pay
per month
O A. (130, 35, 125, 30, 120, 25, 115)
O B. {5, 10, 15, 20, 25, 30, 35)
OC. {5, 100, 10, 105, 15, 110,20}
OD. 100, 105, 110, 115, 120, 125, 130)
Can anyone please help
Answer:
5, 100, 10, 105, 15, 110,20}
Step-by-step explanation:
The range of the function is {100, 105, 110, 115, 120, 125, 130}. The correct answer is D.
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are given that;
The table
Now,
we can find the range of the function based on the input-output table:
The output values in the table are 100, 105, 110, 115, 120, 125, and 130. These are the possible pay per month that the function can produce for different hours of training.
To write the range as a set, we use curly braces {} and separate the elements by commas. We do not need to repeat any values that appear more than once in the table.
Therefore, by range of the function the answer will be {100, 105, 110, 115, 120, 125, 130}.
Learn more about the domain and range of the function:
brainly.com/question/2264373
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Consider points R, S, and T.
Which statement is true about the geometric figure that
can contain these points?
O No line can be drawn through any pair of the points.
VX
O One line can be drawn through all three points.
O One plane can be drawn so it contains all three
points.
OTwo planes can be drawn so that each one contains
all three points.
Mark this and return
Save and Exit
Nelit
Submit
Answer:
Option D can be your answer
The true statement about geometric figure is
One plane can be drawn so it contains all three points.
What is Plane?A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.
We have three points R, S and T.
So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.
There is a plane that contains our three points if we have three separate points in 3-space.
So, For the three points R, S, and T, the third assertion is accurate.
Learn more about Plane here:
https://brainly.com/question/1962726
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The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.
The answer should be 12. please help with explanation and calculation!!!
Answer:
AC =10 cm
Step-by-step explanation:
triangle ABC is a right angled triangle
side opposite to angle B is hypotenuse
so hypotenuse=AC
here AB and BC are other two smaller sides of a triangle.
so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.
Let AB=a , BC=b and AC=c(hypotenuse)
[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]AC^{2}[/tex]
36 + 64 =[tex]AC^{2}[/tex]
100=[tex]AC^{2}[/tex]
[tex]\sqrt{100[/tex] =AC
10=AC
I am not sure why but it is causing me grief: "John walked 10 miles on Saturday. He walked twice as fast on the second 5 miles of his walk than he walked on the first 5 miles of his walk. Which expression represents the time he spent walking? Let x = John's speed on the first half of his walk."
Answer:
The total time spent in walking is [tex]\frac {15}{2x}[/tex].
Step-by-step explanation:
The speed is defined as the rate of change f distance or the ratio of the distance covered to the time taken.
Total distance covered by John = 10 miles
Let he walked with speed x for the first 5 miles and then he walked with speed 2 x for the second 5 miles.
Let the time spent for the first 5 miles is t' and for the second 5 miles is t''.
So,
[tex]t'=\frac{5}{x}\\\\t''=\frac{5}{2x}[/tex]
The total time spent in walking is
[tex]t = t'+ t''=\frac{5}{x}+\frac{5}{2x}\\\\t =\frac {15}{2x}[/tex]
The diameter of a circle is 22 centimeters. What is the circle's circumference?
Hi there!
»»————- ★ ————-««
I believe your answer is:
Around 69.08 centimeters.
»»————- ★ ————-««
Here’s why:
[tex]\text{Circumference of a Circle:}\\\\C=2\pi r\\\\\boxed{\text{Key:}}\\\\\text{r - radius}[/tex]
⸻⸻⸻⸻
The diameter is given. The radius is 11 cm.Recall that the radius is half the diameter.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Circumference:}}\\\\\text{I am using 3.14 for pi.}\\--------\\\rightarrow C=2(3.14)11\\\\\rightarrow C=6.28*11\\\\\rightarrow\boxed{69.08}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Write the fraction as a decimal number.
151
4
1000
Please help me
Given the system of equations below, identify the solution values. x − y = 3 x−y=3 7
Answer:
I believe there is no answer because if x-y = 3 x - y cant equal 3 7.
Step-by-step explanation:
Please mark brainliest :) hope i helped
Which construction is shown in the figure below?
Answer:
C
Step-by-step explanation:
Perpendicular bisector of line segment AB
What is the slope of the line shown?
Answer:
The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.
Step-by-step explanation:
Simplify to a single power of 6:
Answer:
6^2
Step-by-step explanation:
it is a division between two power with the same base, so we have to subtract the exponents
6^(6-4) = 6^2
Answer:
36
Step-by-step explanation:
6^6/ 6^4
46656/1296
36
Please help asap will mark brainliest
GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?
Consider IJ and GL are the parallel sides of the trapezoid.
Given:
In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.
To find:
The length of the mid segment HK.
Solution:
The length of the mid segment of a trapezoid is:
[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]
where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.
HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:
[tex]HK=\dfrac{IJ+GL}{2}[/tex]
[tex]HK=\dfrac{7+15}{2}[/tex]
[tex]HK=\dfrac{22}{2}[/tex]
[tex]HK=11[/tex]
Therefore, the length of HK is 11 units.
The answer to this maths question
Given:
Toilet rolls com in packs of 4 and 9.
4-pack is priced at £2.04.
9-pack is priced at £4.68.
To find:
The pack that has better value by calculating the price per roll.
Solution:
We have, the 4-pack is priced at £2.04.
So, the price per roll for this pack is:
[tex]\dfrac{2.04}{4}=0.51[/tex]
In the pack of 4 rolls the price per roll is £0.51.
It is given that, the 9-pack is priced at £4.68.
So, the price per roll for this pack is:
[tex]\dfrac{4.68}{9}=0.52[/tex]
In the pack of 9 rolls the price per roll is £0.52.
Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.
The given pattern continues. Write down the nth term of the sequence {a} suggested by the pattern. 7,-14,21,-28
Answer:
7_14-21-28-35-42-49 -56-63-70-77-84
Please please pleeeesse hurry if you see this and it’s right I with give brainliest
Answer:
forma is h * w / 2 and y and x have no value because there are no numbers to calculate.
Step-by-step explanation:
hope this helps!!!!!
Answer:
h * w/2 OR (base * height) / 2
/ = divide
* = multiply
Step-by-step explanation:
What is the slope of the line that contains these points?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{m=8}[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]
⸻⸻⸻⸻
[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]
⸻⸻⸻⸻
[tex]\text{The slope is 8.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A customer purchased 3 pairs of jeans (j) for $94.50. If each pair of
jeans costs the same amount, which equation could you use to find the
amount a single pair of jeans costs? *
Answer:
$31.50
Step-by-step explanation:
3j = $94.50
j = 94.50 / 3
j = $31.50
Find the area of the shape shown below.
Answer:
8
Step-by-step explanation:
First your rectangle
A = wl
A = 2 * 2
A = 4
Then one of your triangles
A = h b/2
A = 2 * 2/2
A = 2
you have 2 triangles, so the area is 4 + 4 from the rectangle
Answer:
Area = 8 units²
Step-by-step explanation:
Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.
Therefore, the area of the trapezoid is:
[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A=\frac{1}{2}(6+2)(2)[/tex]
[tex]A=\frac{1}{2}(8)(2)[/tex]
[tex]A=8[/tex]
This means that the area of the trapezoid is 8 units²
On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Answer:
The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
You spin the spinner twice.
What is the probability of landing on a 6 and then landing on a 9?
Write your answer as a fraction or whole number.
Answer:
(1/4)(1/4) = 1/16
when data are presented in a paragraph form, it is in ______.
A.tabular
b.graphical
c.texture
d.abstract
Answer:c.texture
Step-by-step explanation:
Let p(x)=4x-18 and q(x)=-2x+k. For what value of k will the x intercept of q(x) be equivalent to the x intercept of p(x)
Answer:
Step-by-step explanation:
The x-intercept of a line exists where y = 0. So first we will set each of those lines = 0:
4x - 18 = 0 and -2x + k = 0. In order for the x-intercepts to be equal, we have to solve each equation for x and then set those expressions equal to each other.
4x = 18 so
x = 9/2.
-2x = -k so
x = k/2. If the x-intercepts are the same value, then
[tex]\frac{9}{2}=\frac{k}{2}[/tex] so, obviously,
k = 9
16 + 36 drag numbers to the lines to create an equivalent expression in factored form
Answer:
4(4+9)
(if you are able to use 4 twice)
Please help me I would really appreciate it, If you can't that is okay but please try
Answer:
(3p+10q)
Step-by-step explanation:
9p^2 - 100q^2
Rewriting
(3p)^2 - (10q)^2
This is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(3p-10q) (3p+10q)
Answer:
( 3p + 10 q)
Step-by-step explanation:
9 p ² - l00 q ²
(3p)² - ( 10 q) ²
( a ² - b ² = ( a + b) ( a - b) )
( 3p - 10 q) ( 3 p + 10 q)
What is g(x)?
Please help!
Answer:
A
Step-by-step explanation:
It's just a normal quadratic graph but flipped meaning its just negative x squared
Find the distance between the two points rounding to the nearest tenth (if necessary).(−2,−6) and (−7,6)
Answer:
distance = 13 units
Step-by-step explanation:
(-2 , -6)=(x1 , y1)
(-7 , 6)=(x2 , y2)
distance formula:
=[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
=[tex]\sqrt{{(-7-(-2)}^2 + {6-(-6)}^2}[/tex]
=[tex]\sqrt{(-7+2)^2 + (6+6)^2}[/tex]
=[tex]\sqrt{(-5)^2 + (12)^2}[/tex]
=[tex]\sqrt{25+144}[/tex]
=[tex]\sqrt{169[/tex]
=13 units
The bakery manager at the grocery store decides to have a 18% off sale on all bread. You decide to purchase 3 loaves of bread. Let b be the original price of a loaf of bread. Expand the expression 3(b − 0.18b). What do the terms of the expansion represent?