Answer:
72 square units
Step-by-step explanation:
To get these, we will use the attached diagram as a case study
Since each cube is 1cubic unit, hence the length of the side of a cube is 1unit
From the diagram
Length = 6units
Width = 3 units
Height = 4units
Volume of the prism = Length * Width * Height
Volume of the prism = 6 * 3 * 4
Volume of the prism = 18 * 4
Volume of the prism = 72 sq.units
Hence the volume of the prism is 72 square units
simplify (2x^2+3)(x+4
Answer:
23+32−5+12 is the equaequation simplified
Step-by-step explanation:
Solve for x and show your work! For each equation choose if there are:
• zero solutions for x • exactly one solution for x • or an infinite number of solutions for x.
3x + 5 = 7 + 3x
2(3x + 9) = 18 + 6x
what is the measure of each exterior angle of a regular 67-gon?
The measure of each exterior angle of a regular 67-gon is 5.73
Given that,
There is the regular 67-gon.And, the sum of exterior angle is 360.
Based on the above information, the calculation is as follows:
[tex]= 360\div 67[/tex]
= 5.73
Learn more: brainly.com/question/17429689
Solve the system of equations by substitution. * -8x + 2y = 4 y = 4x + 2
Answer:
Step-by-step explanation:
-8x + 2y = 4
y = 4x + 2
Put the value of y into the first equation
-8x + 2(4x + 2) = 4 Remove the brackets
-8x + 8x + 4 = 4 The 8xs cancel out.
4 = 4 But this is useless. There is no single solution
the square of a negative number increased by 6 times the number is 72. Find the number.
Answer:
y = 6
Step-by-step explanation:
(y + 6) × y = 72
y = negative number²
When negative numbers are squared they become positive.
y = 6
Check
(6 + 6) × 6 = 72
12 × 6 = 72
can some give me the anwsers
Answer:
150 -160
Step-by-step explanation:
I not amazing at this but i do know this is kinda hard. sorry if it is wrong
A line has a slope of 0 and passes through the point (-4, 3). What is its equation in slope-intercept form.
Answer:
y = 3
Step-by-step explanation:
We already know the slope, all we need to do is find the y-intercept.
You have to plug the coordinates into the equation, y = 0x + b
y = 0x + b
3 = 0(-4) +b
3 = 0 + b
3 = b
The equation is y = 3
Confused on this one help me solve for point B
Answer:
1,-1
Step-by-step explanation:
because section be is for +,-
Answer:
1,-1
Step-by-step explanation:
Calculate the surface area of the square pyramid below.
yd2
Answer:
155
Step-by-step explanation:
Which of the following sets of side lengths could produce a triangle? SELECT ALL THAT APPLY. (7TH GRADE MATH)
A) 3,6,9
B) 13, 5, 6
C) 5, 5, 10
D) 5, 7, 11
E) 4, 4, 4
Answer: C)5,5,10
Step-by-step explanation:
Which expression is equivalent to (r^-7)^6?
A: r^42
B: 1/r^42
C: -7r^6
D: 1/r
Answer:
B
Step-by-step explanation:
(r^-7)^6 = r^-42 = 1/r^42
Which expression is a factor of 9x^2-4x+1 ( ps ^2 is an exponent)
Answer:
The discriminant b2−4ac < 0, the equation has no real number solutions, it has complex solutions
Step-by-step explanation:
9x² - 4x + 1 = 0 ax² + bx + c = 0
The discriminant: b² - 4ac = (-4)² - 4*9*1 = 16 - 36 = -20
b2−4ac < 0, the equation has no real number solutions, it has complex solutions
Please answer this ASAP !!
Thank you (picture attached).
Answer:
y=12.25x
i cannot see the question but the slope will be the increase of the certain product
the y is the dependent factor that will increase due to the slope/x-intercept
Step-by-step explanation:
Tell whether the given side lengths form a right triangle.
6, 11, 16
Given:
The lengths of the sides of a triangle are 6, 11, 16.
To find:
Whether the given triangles is a right angle triangle or not.
Solution:
Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.
In the given triangle the length of the largest side is 16.
Square of the largest sides is:
[tex]16^2=256[/tex]
Sum of the squares of the two smaller sides is:
[tex]6^2+11^2=36+121[/tex]
[tex]6^2+11^2=157[/tex]
Since [tex]6^2+11^2\neq 16^2[/tex], therefore the given triangle is not a right angle triangle.
Hello :”) how to do 5(a)?
Answer:
[tex] f'(x) = \frac{sin( \frac{1}{x}) }{ {x}^{2} } [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
• Differentiate cosine
• Then multiply it with the derivative of the term inside the bracket
Which has a greater slope, a horizontal line or a vertical line?
A. A vertical line has no defined slope, so the comparison cannot be made.
B. Horizontal line
C. Vertical line
D. A horizontal line has no defined slope, so the comparison cannot be made.
Answer:
A
Step-by-step explanation:
The slope of a vertical line is undefined
The slope of a horizontal line is 0
Country bank pays a simple interest rate of 4% per year. A student plans to invest 5000. How much money will the student have at the end of 6 years
Answer:
$6200
Step-by-step explanation:
Given data
Rate= 4%
Principal=$5000
Time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=5000(1+0.04*6)
A= 5000(1+0.24)
A=5000*1.24
A=$6200
100 POINTS AND BRAINLIEST
What is the common difference of the arithmetic sequence? −17, −13, −9, −5, −1
A) -17
B) -13
C) 4
D) -4
Answer:
The common difference is 4 or C on your test
Step-by-step explanation:
-17+4= -13
-13+4= -9
And so on...
I NEED HELP ASAP!!!
**Ignore the theorem portion above. Answer the angle measure questions, rounding all answers to the nearest tenth***
Answer:
SVU = 90
TUV = 65
Step-by-step explanation:
Answer:
sorry if it's messy, I tried my best even though I'm not sure for ST.
Rewrite 2.7 ÷ 0.3 as a fraction.
Answer:
the answer is 9
check the picture for workings
PLEASE HELP!!!
25 POINTS
Solve for x. Give explanation
Answer:
x = 47 degrees.
Step-by-step explanation:
The angles in a triangle add up to 180 degrees, therefore:
x + 43 + 90 = 180
x = 180 - 43 - 90
x = 180 - 133
= 47 degrees.
Calculate the circumference of a circle whose radius is 7.2 Cm (Idek I just woke up lol)
Mr. Martin had 7 eggs. He used half (½) of these eggs plus one-half (½) another egg to make an omelet. He then used half (½) of what was left plus half (½) another egg to make a batch of cookies. Finally, he used half (½) of what was left plus one-half (½) an egg to make a meatloaf.
Answer:
Number of eggs used to make meat loaf = 1
Step-by-step explanation:
The total number of eggs used to make omelet =
[tex]\frac{7}{2} + \frac{1}{2}\\\frac{8}{2} \\4[/tex]
The total number of eggs used for making cookies
[tex]\frac{3}{2} + \frac{1}{2} \\\frac{4}{2}\\2[/tex]
He is now left with 7 -4-2 = 1 egg only
So he uses this one egg to make meat loaf
An ant crawls 11 feet in 9 minutes. How far can it crawl in 27 minutes and in 36 minutes? Enter your answers.
Answer:
33, 44
Step-by-step explanation:
11 feet in 9 minutes
27 minutes is 3 times as long as 9 minutes, meaning it would be 3 times as more feet. it would crawl 33 feet in 27 minutes.
36 minutes is 4 times as long as 9 minutes, meaning it would be 4 times as more feet. It would crawl 44 feet in 36 minutes.
Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number
Step-by-step explanation:
% Increase = ((New value - Old Value) / Old Value) * 100
Given New value = $85
and Old Value = $35
% Increase =
[tex] (\frac{85 - 35}{35} ) \times 100 \\ = ( \frac{50}{35} ) \times 100 \\ = 143percent(nearest \: whole \: number)[/tex]
‼️ PLEASE HELPPPPP ‼️
What is the slope of the line through ( 10, 1) and (0,4)?
khan Academy
Answer:
-1/2
Step-by-step explanation:
[tex]y^{2} = -4 \\y^{1} =-1\\x^{2} = 0\\x^{1} = -10[/tex]
Using the formula [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
[tex]\frac{-4-1}{0-(-10)}[/tex]
Simplifly
[tex]\frac{-5}{10} = \frac{-1}{2}[/tex]
Solve the equation for the interval [0, 2pi). 2sin^2x = sin x
A) 0, pi, pi/6, 5pi/6
B) pi/6, 5pi/6
C) pi/3, 2pi/3
D) pi/2, 3pi/2, pi/3, 2pi/3
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]2\sin^2(x)=\sin(x)[/tex]
For the interval [0, 2π).
First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:
[tex]2\sin^2(x)-\sin(x)=0[/tex]
We can factor:
[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]
By the Zero Product Property:
[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]
Solve for each case:
[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]
Use the unit circle to solve:
[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]
Hence, our answer is A.
*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.
Someone look at the photo and answer I need help
Step-by-step explanation:
To find the composite function, it says
[tex](f \: o \: g)(x)[/tex]
means we put the function g(x) into f(x) so that means it looks like
[tex]( \sqrt{x}) {}^{2} - 4[/tex]
Which equal
[tex]x - 4[/tex]
So that expression above is the answer.
To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).
The range of a g(x) which is a radical function is all real numbers.
The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.
This means for our function to work we can use any numbers as long as it greater than -4.
So we would represent that as x is all real numbers as long as x is greater than or equal to -4
In interval notation this would be
[-4,+ infintiy)