The volume of the rectangular prism is the amount of space in the prism
The volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches
How to determine the volume?The given parameters are:
Base area = x^2+5x+4
Height = x + 3
The volume is then calculated as:
Volume = Base area * Height
So, we have:
Volume = (x^2+5x+4) * (x + 3)
Expand
Volume = x^3+5x^2+4x + 3x^2+15x+12
Collect like terms
Volume = x^3+5x^2+ 3x^2+4x +15x+12
Evaluate the sum
Volume = x^3+8x^2+19x+12
Hence, the volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches
Read more about volumes at:
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The customer Karen has a white rock. The rock has a mass of 14.3g and a volume of 3.2cm3. What is the density of the rock?
Answer:
The answer is 4.47 g/cm³Step-by-step explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question
mass = 14.3 g
volume = 3.2 cm³
We have
[tex]density = \frac{14.3}{3.2} \\ = 4.46875[/tex]
We have the final answer as
4.47 g/cm³Hope this helps you
Answer:
The answer is 4.47 g/cm³
Step-by-step explanation:
The mass of a substance is 8×10⁹ micrograms. If one microgram is equal to 0.000001 grams, what is the substances mass in grams written in scientific notation?
Answer:
The mass of the substance is [tex]\mathit{8\cdot 10^{3}}[/tex] grams.
Step-by-step explanation:
Scientific Notation
The mass of a substance is [tex]8\cdot 10^9[/tex] micrograms and one microgram is 0.000001 grams.
This last unit needs to be expressed in scientific notation:
[tex]0.000001 grams = 1\cdot 10^{-6}[/tex]
The mass of the substance in grams is calculated by:
[tex]8\cdot 10^9 * 1\cdot 10^{-6}[/tex]
Multiply the magnitudes and add the exponents:
[tex]8\cdot 10^9 * 1\cdot 10^{-6}=8\cdot 10^{-6+9}=8\cdot 10^{3}[/tex]
The mass of the substance is [tex]\mathbf{8\cdot 10^{3}}[/tex] grams.
Determine the range of the function.
y=1/4x^2 - 5
a.All real numbers.
b.All integers less than or equal to -5.
c.All integers greater than or equal to -5.
d.All real numbers greater than or equal to -5.
Answer:
[tex]Solution: f(x)\ge-5\\Interval:[-5,\infty)[/tex]
Step-by-step explanation:
Equation: [tex]\frac{1}{4} x^2-5 = y[/tex]
1). [tex]\frac{1}{4} x^2-5 = y[/tex] →[tex]\frac{x^2}{4}-5=y[/tex]
2). [tex]\frac{x^2}{4}-5=y[/tex] ∴ [tex]a=\frac{1}{4}, b=0, c=-5[/tex]
3). [tex]x_v=-\frac{b}{2a}[/tex]
[tex]=-\frac{0}{2(\frac{1}{4})}[/tex]
[tex]=0[/tex]
4). now plug [tex]x_v[/tex] into [tex]y_v[/tex]
[tex]y_v=\frac{0^2}{4}-5[/tex]
[tex]=-5[/tex]
5). Minimum (0,-5) ∴ [tex]f(x)\ge-5[/tex]
PLEASE HELP!!!!!
A line passes through the point (-8, -9) and has a slope of -
5
4
Write an equation in slope-intercept form for this line.
Answer:
y = -5/4x -19
Step-by-step explanation:
It is often convenient to simplify a point-slope form of the equation.
y = m(x -h) +k . . . . . line with slope m through (h, k)
y = -5/4(x -(-8)) -9 . . . . fill in given values
y = -5/4x -10 -9
y = -5/4x -19
URGENT!!!!!!!!!!! 25
Answer:
Geometry so easy
Step-by-step explanation:
You can do it..
Solve 4,000 ÷ 80 = what
Answer:
50
Step-by-step explanation:
i asked alexa so yeaaa
Dancing Pools sells swimming pools in 4 sizes. The small pool is 72 feet long and 16 feet wide. The medium pool is 80 feet long and 18 feet wide. The large pool is 88 by 20. If the new superduper Coffeetable pool is 96 feet long, how wide will it be?
A 28 feet wide
b 22 feet wide
c 24 feet wide
d 26 feet wide
Answer:
b
Step-by-step explanation:
Answer:
B. 22 feet.
Step-by-step explanation:
The width is adding 2 feet for every time the length is adding 8 feet. So, 88+8=96, and 20+2=22.
Can someone please help me
Problem 1
Answer: Choice B) x = -2------------------
Explanation:
Add the equations straight down.
The x terms add to 5x+(-3x) = 2x
The y terms cancel out since 3y+(-3y) = 0y = 0
The right hand sides add to -7+3 = -3
After adding the equations you should get 2x = -4 which solves to x = -2
=====================================================
Problem 2
Answer: y = 4------------------
Explanation:
Since 5x = 0, this means x = 0 after dividing both sides by 5.
Use this to find y
y = -4x+4
y = -4(0)+4
y = 4
If you want the value of z, then
x = -3y+z+6
0 = -3(4)+z+6
0 = z-6
6 = z
z = 6
7. In January, a small business had a profit of $6. In
February, the company lost $9. What was the
company's total profit or loss for January and February?
Answer:
The company lost 3 dollars
9-6= (-3)
Step-by-step explanation:
What’s the answer to this question HELP ME !!
Answer:
x=6
Step-by-step explanation:
The picture is a little unclear but I hope this is true...
To find the perimeter you need to add the sides of the triangles and the question says that the perimeters of the triangles are equal. So,...
(2x+4)+(2x)+(2x+3)=(3x+1)+(2x)+(2x)
2x+4+2x+2x+3=3x+1+2x+2x
4+2x+3=3x+1
7+2x=3x+1
2x-3x=1-7
-x=-6
x=6
Complete the table for this equation
Answer:
x=2
y= -4/3
y=2/3
x=-4
Step-by-step explanation:
4x-6(0)=8
4x-0=8
4x=8
x=2
4(0)-6y=8
0-6y=8
-6y=8
y=-4/3
4(3)-6y=8
12-6y=8
-6y=-4
y=2/3
4x-6(-4)=8
4x+24=8
4x=-16
x=-4
Please help me i don’t understand it :(
Answer:
Step-by-step explanation:
Explaining the Basic Concept:
This is a piecewise function, which means that it is made up of several different functions which all have different domains
In this question, we have 3 'pieces' in our piecewise function
the domain of each piece is:
1. x < -1
2. -1 ≤ x ≤ 2
3. x > 2
we will use the function related with the respective domain
Finding the values of the function:
h(-4)
Here, our input value is -4
we notice that -4 is in part of the first domain
therefore, -4 is in the domain of the first function
So, we will use the first function
h(x) = -(x/4) + 2 (for x < -1)
replacing x with -4
h(-4) = -(-4/4) + 2
h(-4) = 1 + 2
h(-4) = 3
h(1):
Here, our input value is 1
we notice that 1 is a part of the second domain
Hence, 1 is in the domain of the second function
So, we will use the second function
h(x) = -(x-1)² + 2 (for -1 ≤ x ≤ 2)
replacing x with 1
h(1) = -(1-1)² + 2
h(1) = -(0)² + 2
h(1) = 2
h(2):
Here, out input value is 2
We notice that 2 is a part of the second domain
Hence, 2 is a part of the domain of the second function
So, we will use the second function
h(x) = -(x-1)² + 2 (for -1 ≤ x ≤ 2)
replacing x with 2
h(2) = -(2-1)² + 2
h(2) = -(1)² + 2
h(2) = - 1 + 2
h(2) = 1
Therefore:
h(-4) = 3
h(1) = 2
h(2) = 1
1.) 15 — 2y = Зу Help!!!
Answer:
y=3 the answer is 9 to the equation
Amanda wrote a list that contained only multiples of 16. Which of the following lists could be Amanda’s list?
Question 2 options:
{1, 2, 4, 8, 16}
{16, 32, 48, 64, 80}
{16, 32, 42, 64, 84}
{4, 8, 12, 16, 20, 24, 28}
Answer:
2nd answer. (16,32,48,64,80)
Step-by-step explanation:
Please Help! FAST! Multiple Choice! Brainlest!
Answer:
B is the answer
Step-by-step explanation:
the rulers at store a cost much
3. What is the y-intercept of the line
5x – 3y = 15? Write your answer as an ordered
pair.
Answer:
(0, -5)
Step-by-step explanation:
For Y-intercept: put X = 0
5x-3y=15
-3y=15-5x
3y=-15+5x
y=-5+5/3x
y=5/3x-5
What is the prime number?
Answer:
In math, prime numbers are whole numbers greater than 1, which have only two factors – 1 and the number itself. Prime numbers are divisible only by the number 1 or itself. For example, 2, 3, 5, 7, and 11 are the first few prime numbers.
Step-by-step explanation:
hope this helps :)
4 1/3 x 3/5 express your awnser in simplest form.
Answer:
2 3/5
Step-by-step explanation:
Rectangle a measures 9 inches by 3 inches. Rectangle b is a scaled copy of rectangle a .select a set of measurement pairs that could be the dimensions of of rectangle b
Answer:
Dimensions of Rectangle B will be 9x inches by 3x inches where x is a scaling factor.
Step-by-step explanation:
Scaled Copy: It means that the rectangle A is related to rectangle B by some scaling (multiplying) factor x.
As we are given Dimensions of rectangle A = 9 inches by 3 inches
Then for any scaling factor x the dimensions of rectangle B will be:
Dimensions of Rectangle B = x * ( Dimensions of rectangle A)
Dimension of rectangle B = x * (9 inches by 3 inches)
Dimensions of rectangle B = 9x inches by 3x inches
For more understanding let we assume that rectangle B is scaled copy of rectangle A by scaling factor x=3; then we will have the dimensions of rectangle B as under:
For scaling factor (x) = 3;
Dimensions of Rectangle B = x * ( Dimensions of rectangle A)
Dimensions of rectangle B = 3 (9 inches by 3 inches)
Dimensions of rectangle B = 27 inches by 9 inches
On the other hand for scaling factor x=0.75, the dimensions of rectangle B will become as under;
Dimensions of Rectangle B = x * ( Dimensions of rectangle A)
Dimensions of rectangle B = 0.75 (9 inches by 3 inches)
Dimensions of rectangle B = 6.75 inches by 2.25 inches
someone please help me with this !! Put it in order !! will mark as brainlest!!
Answer:
i dont no hindi ko alam eh
Step-by-step explanation:
-Given
-4
-Divison Property Of Equality
-3
What is the factored form of the polynomal? x2-12x+27
o (x+4)(x+3)
o (x-4)(x+3)
o (x+9)(x+3)
o (x-9)(x-3)
Answer:
The answer is [tex](x-9) (x-3)[/tex].
Step-by-step explanation:
This is because when you multiply them together you get
[tex]x^{2}[/tex], [tex]-9x[/tex], [tex]-3x[/tex], and [tex]27[/tex]
When you add the like terms you get,
[tex]x^{2} - 12x +27[/tex]
Jamier buys a bus pass for $30. Every time he rides the bus, money is deducted from the value of the pass. He rode 12 times and $24 was deducted from the value of the pass. How much does each bus ride cost?
Answer:
each bus has cost $2 thats it
Use the labled point to write a point slope form for the line
Answer:
The point-slope form of the line is y - 3 = -2(x + 2)
Step-by-step explanation:
The point-slope form of the equation of a line is
y - y1 = m(x - x1), where
(x1, y1) is a point on the linem is the slope of the lineThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line.Let us use these rules to solve the question
∵ (-2, 3) and (0, -1) are two points on the line
∴ x1 = -2 and y1 = 3
∴ x2 = 0 and y2 = -1
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{-1-3}{0--2}=\frac{-4}{0+2}=\frac{-4}{2}=-2[/tex]
∴ m = -2
→ Substitute the value of m and point (-2, 3) in the form of the
equation above
∵ m = -2 and (x1, y1) = (-2, 3)
∴ y - 3 = -2(x - -2)
→ Remember (-)(-) = (+)
∴ y - 3 = -2(x + 2)
∴ The point-slope form of the line is y - 3 = -2(x + 2)
which of the following describes controlled variables
A what you change for testing
B what you keep the same
C what you measure
Answer:
b, controlled variables are constant and unchanged
A controlled variable is what is held constant. When doing an experiment, it is ideal to only focus on one variable at a time while keeping everything else in check. This way you can compare two items effectively.
In contrast, a manipulated variable is one that is intentionally changed to see how it affects the subject. For example, if you're testing various fertilizers, then the fertilizer brand would be the manipulated variable. The soil, moisture, amount of sunlight, and other environmental factors are kept the same (each subject gets the same about of each) making them to be controlled variables.
Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make?
Answer:
130 balloons
Step-by-step explanation:
k(x) = 6x – 12; k(x) = 18
Answer:
x=5
Step-by-step explanation:
k(x)=6x–12
18=6x–12
18+12=6x
30=6x
30/6=6x/6
x=5
i think it is clear answer.
What is StartFraction 5 Over 8 EndFraction divided by One-fourth?
Answer:
[tex]\frac{5}{2}[/tex] improper fraction or [tex]2\frac{1}{2}[/tex] mixed number
Step-by-step explanation:
To find the answer you would need to do [tex]\frac{5}{8}[/tex] divided by [tex]\frac{1}{4}[/tex]
Hope this helps!
The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
5/8 and 1/4
Then the division of the numbers 5/8 and 1/4 will be given by putting a division sign between them. Then we have
⇒ (5/8) ÷ (1/4)
⇒ (5/8) x (4)
⇒ 5/2
⇒ 2.5
The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Finish this for points fractions to decimals
1: 0.7142857143
2: 0.04761904762
3: 0.2142857143
4: 0.8666666667
5: 0.2727272727
6: 0.3888888889
7: 0.3333333333
8: 0.4444444444
9: 0.3333333333
10: 0.3571428571
11: 0.36
12: 0.8
13: 0.2307692308
14: 0.875
15: 0.8
16: 0.04761904762
Helpppppppp againnnnnn
Answer:
100.40
Step-by-step explanation:
if 6 members has paid, then the remaining 8 will be 8 x 12.55 = 100.4
Answer:
The answer is $100.40
Step-by-step explanation:
ok. their are 14 members. 6 members payed their dues in week 1. so, subtract 6 from 14. 14 - 6 = 8. Now, the due is $12.55. 8 members payed their dues in week 2, so multiply 8 by 12.55. 8 x 12.55 = 100.50 the answer SHOULD be $100.50 i would think, but there is not an option for that. so, i would pick option 4, because that is .10 off from 100.50. Good luck!!
tan(43)-tan(13)/1+tan(43)tan(13)
Answer:
tan(13)-tan(2)
Step-by-step explanation:
= Monthsarry namin ng bebe ko