Write an equation to represent each function.
(image attached)
Integrate the following. ∫[tex]5x^{4} dx[/tex]
Option A: [tex]x^{5}[/tex]
Option B: [tex]5x^{5} +C[/tex]
Option C:[tex]5x^{5}[/tex]
Option D: [tex]x^{5} + C[/tex]
Answer:
[tex] \displaystyle D) {x}^{5} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following Integral:
[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]
well, to get the constant we can consider the following Integration rule:
[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]
therefore,
[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]
recall exponent integration rule:
[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]
so let,
[tex]n = 4[/tex]Thus integrate:
[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]
simplify addition:
[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]
reduce fraction:
[tex] \displaystyle = {x}^{5} [/tex]
finally we of course have to add the constant of integration:
[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]
hence,
our answer is D)
HELP this stem and leaf plot represents test scores of students in a math class if two test score 68 and 75 are added to the data which statement will be true
Answer:
Option A) The Median will change; the mode will stay the same
Step-by-step explanation:
Just did the Test on T4L and got it right :) Hope this helped (Pls mark me as brainliest)
please hlep me its ixl
Answer:
D
Step-by-step explanation:
D is the answer I did the math.
Hope this helps!
Answer:
d
Step-by-step explanation:
Using the GCF and distributive property, which expressions is equivalent (equal) to 12y + 16
A 2(6y + 80)
B 4(3y + 4)
C 28y
D 16 + 12y
Answer:
4(3y+4)
Step-by-step explanation:
12y + 16
4*3*y +4*4
Factor out 4
4(3y+4)
Answer:
2(6y+80) = 12y+160
4(3y+4) = 12y+16
28y = 28y
16+12y = 12y+16 (did not use distributive property)
So, B is correct.
Let me know if this helps!
3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
1
m
12
m =
la
m = -1
m = 1
PLEaseeee HELP MEEE I beg pleaseee I think I got this wrong please correct me.
Answer:
its 7.2
find the distance using the formula
square root ((y2-y1)^2+(x2-x1)^2)
hope that answers your question.
comment for more explanation
Find the radius, diameter, circumference and the approximate area for the circle in the image attached. To find the approximate area, please use 3.14 for π. SHOW WORK!
For the equation, determine whether the equation is true for all, some, or no values of x.
Explain how you know.
−3x=x×−3
Answer:
nothing can be further done with this topic. please check the expression entered or submit a picture for futher understanding
Step-by-step explanation:
The answers plzzz I need help
A map is drawn to a scale of 1 : 240 000.
(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map.
Step-by-step explanation:
Above are the explanations
A map is drawn on a scale of 1: 240 000.
(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
How to estimate the area on the map?(i) 1 cm: 240000 cm = 1 cm: 2.4km
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]
[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]
Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
[tex]$=21.9 \mathrm{~km}^{2}[/tex]
(ii) 1 cm: 240000 cm = 1 cm: 2400 m
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]
[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]
The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
To learn more about the area on the map
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Find the area of each figure. Round to the nearest tenth if necessary.
Shape 1: TRIANGLE
Formula: A = 1/2 x bh
1/2 x (10)(5) = 25
AREA: 25 square yards
Shape 2: RECTANGLE
Formula: A = lw
(12)(10) = 120
AREA: 120 square yards
Sum (ADD)
25 yd^2 + 120 yd^2 = 145 yd^2
The area of the composite figure is 145 yd^2
Please help me I need this so I can get off my computer it's so late rn
Answer: 45 units
Step-by-step explanation:
Find the coordinates of R and S
R = -25
S = 20
Then just subtract them to find the distance between them.
20 - (-25) = 45.
Answer:
45
Step-by-step explanation:
First, find out the specific locations of R and S: for R, it is-25, and for S, it is 20 (use the tick marks on the x-axis).
Next, to find out the distance between R and S, be sure to add the absolute value, rather than the actual numbers.
So, ∣R∣ + ∣S∣ = 25 + 20 = 45
Hope this helps and let me know if you have any more questions!
One-quarter of the top of a round wedding cake is covered in yellow roses. The top of the wedding cake has a diameter of 12 inches. Each yellow rose covers an area of 0.75 square inch. About how many roses were used to cover this section of the cake?
PLZ ANSWER QUICKLY AND ACCURATLY WILL MARK BRAINLIEST
Answer:
I believe the answer to your question is 38.
Step-by-step explanation:
Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found. which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)
Answer:
8
Step-by-step explanation:
If h(x) = x2-5x + 7 find:
⅓ h(-8)
Answer:
[tex]\displaystyle \frac{1}{3} h(-8) = 37[/tex]
Step-by-step explanation:
Hi there!
[tex]h(x) = x^2-5x + 7[/tex]
First, find h(-8) by replacing all of [tex]x[/tex] with -8:
[tex]h(-8) = (-8)^2-5(-8) + 7\\h(-8) = 64+40 + 7\\h(-8) = 111[/tex]
Now, find ⅓ h(-8) by multiplying the entire expression by ⅓:
[tex]\displaystyle \frac{1}{3} h(-8) = 111 * \frac{1}{3} \\\\\displaystyle \frac{1}{3} h(-8) = 37[/tex]
I hope this helps!
For the equation, determine whether the equation is true for all, some, or no values of x.
Explain how you know.
Answer:
You can check if an equation is true for all some or no values of x by simply to try and solve the equation if you get something like x = x, then the equation is true for all, if you get a specific answer like x=3, then it is true to some values, in simple terms. Try and solve the equation there is no other way to check unless you solve, I don't know if there is another way but this is just my intution.
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
111
Express each of the following decimals as a percentage
1.35
solution for class 7
Answer:
135%
Step-by-step explanation:
To represent a decimal to percentage, multiply by 100
1.35 x 100 = 135
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer yes ooh ooh ahaha
Answer:
probably first one but i might be wrong
Step-by-step explanation:
if it has line under its filled circle and the direction the point is facing is where line goes
Answer:
1
Step-by-step explanation:
Help!!
I need help with my math!!
Step-by-step explanation:
[tex]thank \: you[/tex]
What is the volume of this rectangular prism?
Is it 3/2 x 1/4 x 5/3??
Volume = length x width x height
Volume = 3/2 x 1/4 x 5/3
3/2 x 1/4 = 3/8
3/8 x 5/3 = 15/24
Volume = 15/24 cm^3
Answer: 15/24
Step-by-step explanation:
3/2 x 1/4 x 5/3
Harrison saved $48.97 from his first paycheck and $67.09 from his second paycheck. How much did he save from the paychecks?
Answer:
$116.06
Step-by-step explanation:
48.97 + 67.09 = 116.06
Answer:
$116,06
Step-by-step explanation:
48,97 + 67,09
Step by step plz on how to do this
Answer:
x=3
Step-by-step explanation:
Step 1: you have to replace y with x-6 to make it all one equation (as seen in the picture below)
Step 2: write it all together so: x-6= -2x+3
Step 3: add 2x on both sides to cancel out the negative so: x+ 2x and -2x+2x
Step 4: add 6 on both sides to cancel out the negative so: -6+ 6 and 3+6
Step 5: divide 3 by 3x and 9 to get x
Please whoever knows they can solve this, help!
I have attached the question down below. Please explain in detail and diagrams if the question permits you to do so. Thank you. I will also be marking the brainiest.
Answer:Can't see the question
Step-by-step explanation:
1
Mrs. Johnson wants to give items to her afterschool group. She has 36 prizes and 24 ballons. What is the greatest number of children she can have in her group so that each child gets equal number of prizes, and an equal number of ballons?
2
Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3pm. How many minutes will pass before they play the same song again. (Only write the minutes.)
Answer:
1) 12
2) 72
Step-by-step explanation:
1) The GCF of 36 and 24 is 12. So, each child would get 3 prizes and 2 balloons.
2) The LCM of 18 and 24 is 72. When the first radio station is playing the song for the fourth time, the second radio station will play the song for the third time. This will happen 72 minutes after they both play it for the first time.
Answer:
1. 12 children
2. 72 minutes
Step-by-step explanation:
1. Find the GCF of 36 and 24, which is 12
2. Find the LCM of 18 and 24, which is 72
Kindly Please Help....
You will need to make make a frequency distribution table and represent it in a bar graph creatively. (5 different forests in India)
Answer:
1st- thorn forest - forest which have many thorns it is in rajasthan
2nd- evergreen forest - a forest whose trees are green in any season
3rd- Amazon forest - in Amazon forests there are many venomous/ poisonous amphibians and stuff like anacondas and wild animals.
Step-by-step explanation:
so sorry this is all i could find
help pls :( I only need one question to pass
Answer:
The 3rd semi-circle equals 31.
Step-by-step explanation:
Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.
Please help me asap! I will give brainly!
Answer:
Figure 4 : 9 by 4 rectangle
17 red squares is figure 8
51 yellow squares
The pattern is +2 for the length, and the width stays the same. Hope this helped. :)
Answer:
17 rojo
51 amarillo
en el dibujo son 11 rojos y 33 amarillo
Step-by-step eplanation:
PLEASE HELP SOON AND TRY TO EXPLAIN.
Prove that if a, b, c, d are non zero real numbers, not all equal, and if a+1/b=b+1/c=c+1/d=d+1/a then |abcd|=1. Thx!
Answer:
because any number over 0 is 0 and if |abcd|=1 that it is not possible to be 0
Step-by-step explanation:
An adult ticket is twice the cost of a child's ticket. Angela paid $ 28 for two adult tickets and three children's tickets. Which of the
following equations could be used to find the price of a child's ticket?
(A) x + 2x = 28
(B) 3x + 2(2x) = 28
(C)3(2x) + 2x = 28
(D) 3x + 2x = 28
The following equations could be used to find the price of a child's ticket, 3x + 2(2x) = 28, the correct option is B.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The system of equations are used to solve complex problems.
Let the cost of child ticket is $x
An adult ticket is twice the cost of a child's ticket.
Let the cost of adult ticket is $2x
The total amount Angela paid is $28 for two adult tickets and three children's tickets.
The equation that will be formed is
4x + 3x = 28
It can also be written as 3x + 2(2x) = 28.
To know more about Equation
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Answer:
y=15x+25, the cost is 205 dollars
Step-by-step explanation:
The simplest way to write a rule for this is to write it in slope intercept form, y=mx+b. Let y represent the cost of the membership. Every month the cost is 15 dollars. If we let x represent the months we can rewrite this as 15x. The one time cost is 25 dollars so we can just add that to the end of the equation. y=15x+25. There are 12 months in a year so we just have to substitute. y=15(20)+25=205 so the answer is 205 dollars.
