Answer:
x
Step-by-step explanation:
The definition of a variable is an unknown quantity, usually represented by a letter.
The variable in the algebraic expression 5x + 13 will be 'x'.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
⇒ 5x + 13
Now,
Since, The algebraic expression is,
⇒ 5x + 13
Hence, The variable of the algebraic expression = x
Therefore, The variable in the algebraic expression 5x + 13 = x
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Sam lives 8 miles from work and Mike lives 30 miles from work. How much farther is Mike’s trip to work than Sam’s?
Find the interest rate for a $4100 deposit accumulating to $5994.78, compounded monthly for 6 years.
Answer:
r = [1 + (i/n)]n - 1. Where: r =
Step-by-step explanation:
how do you create a graph for linear equation? I need to graph 3x=4
Answer:
Look at the graph below, hope this helped.
Step-by-step explanation:
−2y−8+4yminus, 2, y, minus, 8, plus, 4, y
Answer:
a number 12
Step-by-step explanation:
duh bro
What force is affected when the distance between two objects remains the name and the mass of each object is doulod?
HELP quick
Answer:
gravitational force or A the first one
Step-by-step explanation:
Answer:
Step-by-step explanation:
it a
Help me with this thx <3
A convex polygon has 6 sides what is the sum of its interior angles 1980°.
Step-by-step explanation:
Sum of interior angles in a polygon
= 180°(n - 2), where n is the number of sides.
Hence a convex polygon with 6 sides
=> 180°(6 - 2) = 720°.
U-substitutions only work for specific kinds of expressions. Below, you are asked to choose a value of n for which u-substitutions will be a useful integration technique. Then, you are to compute the antiderivative with that specific n. (E.g., if n = 5 makes u-subs work, then solve the integral with a 5 in place of n).
(a) [ zºeke*+1 "'de
(b) /co cos(1/2) dr
(c) / r+n dr 22 + 8x - 4
Answer:
Step-by-step explanation:
(a) [tex]\int x^n e^{5x^4+1} \ dx[/tex]
Suppose [tex]5x^4 + 1 = f[/tex]
by differentiation;
[tex]\implies \ 20 x^3 dx = df --- (1)[/tex]
Suppose n = 3
Then, the integral
[tex]I = \int x^ 3 e^{5x^4 + 1} \ dx[/tex]
[tex]= \int e^f \ \dfrac{df}{20}[/tex]
[tex]= \dfrac{1}{20} \int e^f \ dt[/tex]
[tex]= \dfrac{1}{20} e^f + C[/tex]
recall that [tex]f = 5x^4 + 1[/tex]
Then;
[tex]\mathbf{ I = \dfrac{1}{20}e^{5x^4+1}+C}[/tex]
(b) [tex]\int \dfrac{cos (\dfrac{1}{x^3})}{x^n } \ dx[/tex]
suppose; [tex]\dfrac{1}{x^3} = f[/tex]
[tex]x^3 = f[/tex]
[tex]\implies -3x^{-4} \ dx = df[/tex]
[tex]\implies \dfrac{1}{x^4} \ dx =-\dfrac{1}{3} df[/tex]
If n = u, then the integration is:
[tex]I = \int \dfrac{1}{x^4} \ cos (\dfrac{1}{x^4}) \ dx[/tex]
[tex]= \int -\dfrac{1}{3} \ cos \ f \ df[/tex]
[tex]= -\dfrac{1}{3} \int \ cos \ f \ df[/tex]
[tex]= -\dfrac{1}{3} \ sin \ f + C[/tex]
Since; [tex]x^3 = f[/tex]
Then;
[tex]\mathbf {I = -\dfrac{1}{3} \ sin \ \Big( \dfrac{1}{x^3}\Big) + C}[/tex]
(c) [tex]\int \dfrac{x+n}{x^2 + 8x -4} \ dx[/tex]
Suppose [tex]x^2 + 8x - 4 = f[/tex]
Then, by differentiation of both sides
[tex](2x + 8) \ dx = df[/tex]
[tex](x + 4) \ dx = \dfrac{1}{2} \ df[/tex]
Suppose n = 4 in integration, then:
[tex]I = \int \dfrac{(x + 4) }{x^2 +8x -4} \ dx[/tex]
By substitution;
[tex]I = \int \dfrac{1}{2}\dfrac{1}{f} \ df[/tex]
[tex]= \dfrac{1}{2} \ \ { In |f|} + C[/tex]
[tex]\mathbf{= \dfrac{1}{2} \ \ { In |x^2+8x -4|} + C}[/tex]
The suitable substitutions of n are 3,4,4 respectively.
What is integration?The process of finding integrals is called integration.
a)[tex]f(x)=\int\limits {x^3e^{5x^4+1} } \, dx[/tex]
Suppose
[tex]5x^4+1 =t\\20x^3 dx =dt[/tex]
So, we need n=3 for easy integration.
[tex]f(x)=\int\limits {x^3e^{5x^4+1} } \, dx[/tex]
[tex]I = \frac{1}{20} \int\limits {e^{t} } \, dt[/tex]
[tex]I=\frac{e^{t} }{20}[/tex]
[tex]I = e^{5x^{4}+1 }/20 +c[/tex]
b)Similarly for [tex]f(x) = \int\limits\frac{cos(\frac{1}{x^3} )}{x^n} \, dx[/tex]
n=4 is needed for easy integration.
I = [tex]\frac{-1}{3} sin(\frac{1}{x^3} ) +c[/tex]
c)For [tex]f(x) = \int\limits \frac{x+n}{x^{2} +8x-4} \, dx[/tex]
n=4 is needed for easy integration.
[tex]I = \frac{1}{2} log(x^{2} +8x-4)[/tex]
Hence, the suitable substitutions of n are 3,4,4 respectively.
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Jessica locates her garden using a coordinate grid with yards as the units. The two points
(-5, -2) and (-8, -3) represents the two corners of the garden. Approximately how far
apart are the two corners?
Answer:
These two corners are [tex]\sqrt{13}[/tex] units apart.
Step-by-step explanation:
Distance between two points:
Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Approximately how far apart are the two corners?
We have to find the distance between the points (-5,-2) and (-8-3). So
[tex]D = \sqrt{(5-(-8))^2+(-2-(-3))^2} = \sqrt{13}[/tex]
These two corners are [tex]\sqrt{13}[/tex] units apart.
What is the measure of the missing leg of a right triangle if the hypotenuse measures 10 ft and the other leg measures 8 ft?
Answer:
2?
Step-by-step explanation:
11 ÷ 3/4=
what dose it means
Answer:
14.66 or 14.7
Step-by-step explanation:
if we solve the equation we get 14.6666 but since it goes on and on we round and put it on 14.7
Answer:
Step-by-step explanation:
11 ÷ 3/4 = [tex]11 * \frac{4}{3}[/tex]
[tex]=\frac{44}{3}\\\\=14\frac{2}{3}[/tex]
CORRECT ANSWER AND I WILL THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System Of equations:
Solve by elimination:
7x + 2y = 13
x - 2y = 11
Group of answer choices
(3 . -4)
(3 , 4)
(4 , 3)
(-4 , -3)
[tex](7x + 2y) + (x - 2y) = 13 + 11 \\ 8x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]
Substitute x = 3 in any given equations.[tex]x - 2y = 11 \\ 3 - 2y = 11 \\ 3 - 11 = 2y \\ - 8 = 2y \\ \frac{ - 8}{2} = y \\ - 4 = y[/tex]
Answer Check
Substitute x = 3 and y = - 4 in both equations.[tex]7x + 2y = 13 \\ 7(3) + 2( - 4) = 13 \\ 21 - 8 = 13 \\ 13 = 13[/tex]
[tex]x - 2y = 11 \\ 3 - 2( - 4) = 11 \\ 3 + 8 = 11 \\ 11 = 11[/tex]
Both equations are true for x = 3 and y = 4.
Answer[tex] \large \boxed {(3, - 4)}[/tex]
Feel free to ask if you have any questions related to the answer or the explanation.
All flour from five bags with 3/8 lbs of flour in each was divided into equal parts to make 7 loaves of bread. How can you calculate the amount of flour used for each loaf? select all that apply
was divided into equal parts to make 7 loaves of bread. How can you mount of flour used for each loaf? select all that apply
Step-by-step explanation:
Answer:
B, C, F
Step-by-step explanation:
C = 3/8 divided 7 times 5. 3/8 lbs of flour in each was divided into equal parts to make 7 loaves. 3/8 divide by 7. Since there are 5 bags, times 5.
B = 3/8 times (for the five bags) times 5 divided by 7 samething from C.
F = You know the pattern now. Hint: B is the answer...
How can we find th volume of this fish tank
Answer:
From the length (owo)
Step-by-step explanation:
All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.
Answer: look at the picture and you will see the answer
Step-by-step explanation: hope this help
What is the product of (2x – 3)(4x + 1)
Answer: 8x^2 - 10x - 3
Step-by-step explanation:
first, we multiply the parentheses.
2x x 4x + 2x - 3 x 4x - 3
then, we calculate all of that junk.
8x^2 + 2x - 12x - 3
finally, we collect the like terms.
8x^2 - 10x - 3
Answer:
8x^2-10x3
Step-by-step explanation:
8x^(add the 2 upbove the x)-10x-3
Pls find this asap I am already late for this pls
Answer:
Step-by-step explanation:
I'm not sure about number 3, but I have the answer for number. The answer is 1:32.
3: 69
3/69
Then we reduce the fraction to the lowest term
3/69 = 1/32
1:32
Just divide 96/3 and you can see that one bus can hold 32 students
how might you ask for 1/10 of a liter of water
Answer:
weird questions but...
May I have 4 cups of water please?
Answer:
deciliter of water
Step-by-step explanation:
a unit of capacity equal to 1/10 of a liter.
Heather is a cashier. She can ring up 121 customers in 9 minutes.
At this rate, how many minutes does it take her to ring up 4 customers
Answer:
In four minutes Heather can ring up 52 maybe even 53 customers.
Step-by-step explanation:
To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)
please help i am really struggling
Answer:
greater than...
equal
Step-by-step explanation:
welcome
what is 2+2-3+9-5+3=
Answer:
8
Step-by-step explanation:
Answer: the answer is 8
Step-by-step explanation: hope this helps :)
Please solve the question below 5
Answer:
Answer is B
Step-by-step explanation:
P(x<2) - P(x<-2) = .9772 - .0228 = .9544
= 95%
I need help plz I will mark brainliest
Where art thou smart people
Answer:
a smart person is not me clearly lol
Step-by-step explanation:
Translate and solve: fifty times n is at most 500.
Answer:
n must be less than or equal to 10
Step-by-step explanation:
divide 18 by 3, then add 9
Answer:
15
Step-by-step explanation:
18 ÷ 3 = 6
6+3 =15
hope this helps
8x-5y=37 x=2y+6 substitution
Answer:
Solve for the first variable in one of the equations, then sub the result into the other equation.
point form- (4,-1)
equation form- x=4, y=-1
Step-by-step explanation:
I HIGHLY recommend math-way to help you with problems like this :)
hope this helps!
express the surface area A of a cube in terms of its volume V
A chef used one-fifth of a bag of potatoes for a meal. If the potatoes fed 2 people, what fraction of the bag did each person get? (Will give brainliest)
Answer:
They each got 1/10th of the bag
Step-by-step explanation:
you just divide 1/5th by 2 which is 1/10
Work out the surface area of this cylinder 8.2cm 17.5cm
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
Angle A is circumscribed about circle O. What is the measure of A?
Answer:
88°
Step-by-step explanation:
Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.
Answer:
88
Step-by-step explanation: