Answer:
The volume = [tex]5x^{5}+4x^{4}+x^{3}[/tex]
Step-by-step explanation:
* The rule of the volume of the rectangular prism:
- the volume of any prism = base area × height
∵ The base of the rectangular prism is rectangle
∵ Area any rectangle = Length × Width = l × w
∴ The volume of the rectangular prism = l × w × h
* In the problem:
∵ l = x , w = x² , h = 5x² + 4x + 1
∴ The volume = (x)(x²)(5x² + 4x + 1)
* We will simplify it
- Multiply x by x² and then multiply the answer by the bracket
∵ x × x² = x³
∴ x³(5x² + 4x + 1)
∵ x³ × 5x² = 5x^5
∵ x³ × 4x = 4x^4
∵ x³ × 1 = x³
∴ The volume = [tex]5x^{5}+4x^{4}+x^{3}[/tex]
Which ordered pairs are on the graph of exponential function?
Answer:
its (1,3)
Step-by-step explanation:
this is a bit of bad explaining but if you draw a graph you can find it, the verticle intercept is 0,2 if you wanted to know that. and also since the answers are there you could try them out so like 3=2+1, that works, and kinda like that
Can someone help please
Answer:
3:2
Step-by-step explanation:
I think the answer is 3:2 and 12:8
Hope this helps.
Can you please help me with this and thank you
Answer:
V = 90 Cubic Feet
Step-by-step explanation:
The volume of the Rectangular Prism is Given as
The product of the Area of Base and The height.
We are given that Area of Base = 18 sq ft
And the Height is 5 ft
Hence as per the formula we have discussed
Volume = 18 x 5
= 90
The volume = 90 Cubic ft
The base of this regular right pyramid is a square what is its surface area? HELP FAST PLEASE!!
The surface area of a regular right pyramid with a square base can be found using the formula: Surface Area = Area of Base + (1/2 × Perimeter of Base × Slant Height). You will need to know the side length of the base and the slant height of the pyramid to calculate the surface area.
Explanation:A right pyramid with a square base has a surface area that can be calculated by finding the sum of the areas of all its faces. The surface area of a regular right pyramid can be determined using the formula:
Surface Area = Area of Base + (1/2 × Perimeter of Base × Slant Height)
Since the base of the pyramid is a square, the area of the base is given by:
Area of Base = Side Length × Side Length
To find the surface area, you will need to know the side length of the base and the slant height of the pyramid. Once you have these measurements, substitute them into the formula to calculate the surface area.
I need help , please show work .
Answer:
The answer is 600
Step-by-step explanation:
At an assembly 7 out of the first 10 students who entered the gym we're carrying a backpack. Based on this on formation if 700 students were at the assembly how many students could be expected to be carrying a backpack?
Answer:
490 students have back packs
Step-by-step explanation:
700 / 10 = 70
70* 7 = 490
How to this problem
Answer: 16 square feet
Step-by-step explanation: In order to calculate how much total screen she needs you need to calculate each section.
The small ends are 2 ft x 1 ft, so you need 2 feet for each end, or 4 feet total.
The long sides are 3 ft x 2 ft, so you need 6 feet for each end, or 12 feet total.
The total screen needed for the sides is 4 + 12 = 16 square feet.
Find the equation in factored form zeros=-2 and 2 with vertex (0,-4)
Answer:
[tex]\large\boxed{y=(x+2)(x-2)}[/tex]
Step-by-step explanation:
Factored form of quadratic equation:
[tex]y=a(x-x_1)(x-x_2)[/tex]
x₁, x₂ - zeros
We have zeros: x₁ = -2 and x₂ = 2. Substitute:
[tex]y=a(x-(-2))(x-2)=a(x+2)(x-2)[/tex]
We have the vertex (0, -4). Put the coordinates of the vertex to the equation:
[tex]-4=a(0+2)(0-2)[/tex]
[tex]-4=a(2)(-2)[/tex]
[tex]-4=-4a[/tex] divdie both sides by (-4)
[tex]1=a\to a=1[/tex]
Finally:
[tex]y=1(x+2)(x-2)=(x+2)(x-2)[/tex]
The equation in factored form given the zeros -2 and 2 with the vertex (0,-4) is f(x) = -(x + 2)(x - 2).
Explanation:To find the equation in factored form given the zeros = -2 and 2 with the vertex (0,-4), we start with the standard form of a quadratic function, which is f(x) = ax^2 + bx + c. Since the vertex is at the origin and the parabola opens upward (the coefficient of x^2 is positive), and the factor form of the quadratic equation is f(x) = a(x - p)(x - q), where p and q are the zeros of the function.
In this case, using the given zeros of -2 and 2, the factored form starts as f(x) = a(x + 2)(x - 2). To find the value of a, we use the vertex (0,-4). The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where the vertex is at the point (h,k). Comparing the vertex form with the vertex given, we get f(x) = a(x - 0)^2 - 4. Since when x = 0, f(x) = -4, we can see that a must be -1. Therefore, the factored form of the quadratic function is f(x) = -1(x + 2)(x - 2) or f(x) = -(x + 2)(x - 2).
Solve. 1 = –(–w + 6)
Answer: w = 7
Step-by-step explanation: In order to solve this you must first multiply the inside of the parentheses by -1:
1 = w - 6
Next, add 6 to both sides:
7 = w
Find the volume of a cylinder that has a radius of 7 and a height of 16.
To find the volume of a cylinder, start with the formula for the volume of a cylinder.
Volume = [tex]\pi[/tex][tex]r^{2}[/tex][tex]^{h}[/tex]
Notice that our cylinder has a radius of 7 and a height of 16. So we have
([tex]\pi[/tex]) (7)[tex]^{2}[/tex] (16)
Let's start by simplifying the exponents. [tex]7^{2}[/tex] ≈ 49
([tex]\pi[/tex]) (49) (16)
49 × 16 = 784[tex]\pi[/tex][tex]m^{3}[/tex]
We can add a unit so we have 784[tex]\pi[/tex][tex]m^{3}[/tex].
Hey!
----------------------------------------------
Formula: V = πr²h
----------------------------------------------
Solution:
V = (3.14)(7)²(16)
V = (3.14)(49)(16)
V = 784π
----------------------------------------------
Answer:
Volume is equal to 784π
----------------------------------------------
Hope This Helped! Good Luck!
I saw a shirt for $97. I borrowed $50 from my mother and $50 from my father. I bought the shirt with $3 in change. I gave $1 to my mother, $1 to my father, and kept the extra $1 for myself. Now I owe $49 to my mother and $49 to my father. 49+49=98+my $1=99. Where did the other $1 go?
Answer:
Your other $1 went to yourself.
Answer:
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A cylinder has diameter 34 m and height 27 m. A label at bottom states drawing not to scale.
Find the volume of the cylinder. Use 3.14 for
π
.
please show your answer in steps
gordan is g years old.which expression show how old he would be in 12 years from now
Answer:
The expression would be g+12
Step-by-step explanation:
Technically you are adding his age right now, G, and 12 more years. So an expression that can show how old he will be in 12 years is G+12.
I need help! please show work!
Answer:
calculate volume by l×b×h
use the substitution method to solve the system of equations
2x + 3y = 13
x = 2
To solve the system of equations using the substitution method, substitute the value of x into the other equation and solve for y.
Explanation:To solve the system of equations using the substitution method, we first need to solve one of the equations for one variable and then substitute that expression into the other equation. In this case, the second equation is already solved for x, so we can substitute x = 2 into the first equation:
2(2) + 3y = 13
4 + 3y = 13
3y = 9
y = 3
Therefore, the solution to the system of equations is x = 2 and y = 3.
Learn more about Substitution Method here:https://brainly.com/question/14619835
#SPJ12
20 POINTS!!!
Rewrite each of the following durations using EIGHTH notes. Write in words and as a fraction:
1 quarter note
1 half note
Answer:
14 notes overall
Step-by-step explanation:
well 2 are in a quarter and there are four in a half note and there are 8 in a full
so
4 + 2 is 6
and 8+ 6 is 14
so 14 notes overall
Delia and Beto left for school at the same time.
Delia lives 3/4 mile from school and walks at a pace of
16 minutes per mile. Beto lives 3 1/2 miles from school
and bikes at a pace of 3 minutes per mile. Who will get to
school first?
Answer:
Beto will reach school first
Step-by-step explanation:
Delia lives 3/4 mile from school, and if she walks at 16 minutes per mile, it would take her
3/4 x 16 = 12 minutes to reach school.
Beto lives 3 1/2 (7/2) miles from school, and if she walks 3 minutes a mile, it would take her
7/2 x 3 = 10.5 minutes to reach school
Hope this helps!
Answer:
Beto reaches school first
Step-by-step explanation:
We are given that Delia lives 3/4 mile from school and walks at a pace of
16 minutes per mile.
So Delia takes [tex] \frac{3}{4} \times 16 = [/tex] 12 minutes to reach school.
While Beto lives 3 1/2 miles from school and bikes at a pace of 3 minutes per mile.
So Beto takes [tex] \frac{7}{2} \times 3 = [/tex] 10.5 minutes to reach school.
Therefore, Beto reaches school first.
Express Using Algebra
What is the length of a rectangle whose perimeter is P, if the width is 6?
Answer:
(P-12)/2 = L
Step-by-step explanation:
1. Start off with an equation in terms of perimeter
P = (2)(6) + (2)(L)
2. Multiply the two and the six
P = 12+ (2)(L)
3. Move the terms around so only "L" is on one side
(P-12)/2 = L
hope this helped :)
Answer:
l = P/2 - 6
Step-by-step explanation:
The perimeter of a rectangle is 2*length + 2* width, or 2l + 2w.
So, the equation is P = 2l + 2*6. This simplifies to P = 2l + 12.
To isolate l, you subtract 12 from both sides, and divide both sides by 2.
This will look like [tex]l = \frac{P}{2} - 6[/tex].
The first and forth terms of a proportion are called the means.
Always
Sometimes
Never
Answer:
Never
Step-by-step explanation:
The first term (1st) and the fourth term (4th) of a proportion are called extreme terms or extremes, and the second term (2nd) and the third term (3rd) are called middle terms or means. Therefore, in a proportion, product of extremes = product of middle terms.!!! I NEED HELP SO I RAISED THE POINTS TO 23!!!! AND WILL GIVE BRAINLIEST !!!!! THANK YOU :)
what is the 52nd term in the sequence:
9, 12.5, 16, 19.5, 23, . . . . . .
Answer:
182
Step-by-step explanation:
12.5 - 9 = 3.5
3.5 times 52 = 182
aHHH I just wanna know if what I put on the table is right ;-;
Yeah you did well on the table
No, your answer is not correct. There was a total of 484 students surveyed, so your grand total at the bottom needs to be 484.
The first section that you will want to complete is the girls. They have given you each of the breakdowns, so you just need to add them together for the total number of girls.
36+55+144 = 235 girls.
Next, you know that you have 484 students, and if 235 are girls then 249 are boys. (484-235=). Enter 249 for the total boys.
Now you know that you have 249 boys, 40 always wear glasses and 161 never do. In order to calculate how many sometimes do you need to subtract 40 and 161 from 249.
249 - 40 - 161 = 48 sometimes wear glasses.
Now, you just need to add up each of the columns at the bottom. The answers are 76,
103 and 305. When you total these number together you get 484, which is the total number of students.
cos 155 degrees equals
type cos(155) into a calculator
cos(155)= -0.906307787...
Answer:
-0.9063077
Step-by-step explanation:
The cos of 155 degrees is equals to -0.9063077
To obtain cos 155 degrees in radian multiply 155 by π/180
cos 155 degrees = (155 /180) π radian
Dividing 155 and 180 by its common factor 5 we will get (31/36)π
so cos 155 in terms of radian is equals (31/36)π
Since our angle is greater than 90 degrees and less than or equals to 180 degrees, it is located in quadrant II . In second quadrant the value of sin are positive only that is why cos 155 is -0.9063077
It can also be solved by using identities of cosine
cos (∅) = sin(∅-90)
putting ∅ = 155, we get
= sin(155-90)
= sin(-65)
= -0.9063077
Janessa wants to order these fractions: 4/9, 2/3, 1/6, -2 1/2. What should she use as her common denominator?
Answer:
18
Step-by-step explanation:
The given fractions are:
[tex]\frac{4}{9},\frac{2}{3} ,\frac{1}{6},-2\frac{1}{2}[/tex]
We can change the mixed number to a proper fraction to get;
[tex]\frac{4}{9},\frac{2}{3} ,\frac{1}{6},-\frac{5}{2}[/tex]
Janessa needs to find the least common multiple of the denominators.
The denominators are; [tex]9,3,6,2[/tex]
We can express each of the denominators as product of primes.
[tex]9=3^2[/tex]
[tex]3=3[/tex]
[tex]6=2\times3[/tex]
[tex]2=2[/tex]
The least common multiple of these numbers is the product of the highest powers common to all the numbers.
The LCD is [tex]2\times3^2=18[/tex]
Answer:
the answer is 18
Step-by-step explanation:
9 x 2= 18
3 x 6 = 18
6 x 3 = 18
2 x 9 = 18
The table below represents the function F. The equation that represents this function is
The answer is:
C. [tex]F(x)=2^{x}-1[/tex]
Why?In order to find the correct option, we need to substitute/evaluate the given values of "x" into each function.
Substituting into the first equation, option A:
[tex]F(x)=3^{x} \\F(3)=3^{3}=27\\F(3)=3^{4}=81[/tex]
... and so.
We can see that the option A is not the correct option since the obtained values do not match with the given values.
Substituting into the second equation, option B:
[tex]F(x)=3x\\F(3)=3*3=9\\F(4)=3*4=12\\[/tex]
... and so.
We can see that the values obtained from the function do not match with the given values, so the option B is not correct.
Substituting into the third equation, option C:
[tex]F(x)=2^{x}-1\\F(3)=2^{3}-1=8-1=7\\F(4)=2^{4}-1=16-1=15\\F(5)=2^{5}-1=32-1=31\\F(7)=2^{7}-1=128-1=127\\F(8)=2^{8}-1=256-1=255\\[/tex]
So, since all the obtained values match with the given values, we can conclude that the correct option is the option C.
Have a nice day!
Answer:
The answer is c
Step-by-step explanation:
How many points determine a plane?
Answer:
Three points determine a plane
Step-by-step explanation:
What is the measure of < B?
Answer:
56
Step-by-step explanation:
The angular sum of a triangle is 180 and we know 2 angles so we just add them together and subtract that from 180 for the last angle measure.
90+34 = 124
180-124=56
Please ASAP need the correct answer
-2
2
-1/2
1/2
Answer:
2
Step-by-step explanation:
The slope can be found by using the formula
m = (y2-y1)/(x2-x1)
= (-2-10)/(-2-4)
= -12/-6
=2
The slope is 2
Info is on the picture
Answer: C
Step-by-step explanation:
1 ml = 0.001 l
1 l = 1000 kl
Answer:
Answer is C.
...and could you help me with my question please?
https://brainly.com/question/12407929
Circle P has a circumference of approximately 75 in what is the approximate length of the radius R use 3.14 for pi round to the nearest inch
Answer:
Step-by-step explanation:
C = 2pir
75 = 2pir
75 / 6.28 = r
r = 12 inches
Answer:12
Step-by-step explanation:
C = 2pir
75 = 2pir
75 / 6.28 = r
r = 12 inches
Calculate the area of the irregular polygon shown below:
21 square inches
22 square inches
26 square inches
29 square inches
(Worth 10 points)
ASAP
Answer:
26 square inches
Step-by-step explanation:
To calculate the area of the polygon, find the area of 5*10 = 50. Now subtract the area of each rectangle cut out of the polygon. There are two rectangles of the same size measuring 3 by 4. They have an area of 3*4 = 12.
So 50 - 12 - 12 = 26
Answer:
26 square inches
Step-by-step explanation:
Predict weather the product of 3 and 4/5 is greater than, less then, or equal to 3 explain
Answer: Less than
Without actually solving this, we can find that the product of 3 and 4/5 will be less than 3. The reason for this is because 4/5 < 1. If we simply would do 3 * 1 we would just get 3. But since we are multiplying it by a number smaller than 1, we will be getting a number less than 3.
Solving this:
4/5 = 0.8
3 * 0.8 = 2.4