Answer:
y=12
Step-by-step explanation:
First we should rewrite the left side to look like
4y/3=16
Then multiply 3 to both sides
4y=48
Now divide by 4
y=12
The equivalent value of the expression is y = 12
Given data ,
Let the equation be represented as A
Now , the value of A is
( 4/3 )y = 16
On simplifying the equation , we get
( 4/3 )y = 16
So , the left hand side of the equation is equated to the right hand side by the value of ( 16 )
Divide by 4 on both sides , we get
( 1/3 )y = 16/4
( 1/3 )y = 4
Multiply by 3 on both sides , we get
y = 4 x 3
On simplifying , we get
y = 12
Therefore , the value of y = 12
Hence , the expression is y = 12
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negative three times a number increased by 7 is less than-11
Answer: false.
Step-by-step explanation: the equation is as follows:
-3 + 7 = 7 - 3, which = 5
-3 times 5 = -15, making the statement false.
Answer:
6
Step-by-step explanation:
-3x+7<-11
-3x<-11-7
-3x<-18
X<-18/-3
X<6
Find the value of x in the diagram below
Answer:
x = 13
Step-by-step explanation:
a^2 + b^2 = c^2
5 = a 12 = b
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
square root of 169 = 13
How do you do this problem?
Answer:
Your answer is absolutely correct
Step-by-step explanation:
The work would be as follows:
[tex]\int _0^{\sqrt{\pi }}4x^3\cos \left(x^2\right)dx,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=> 4\cdot \int _0^{\sqrt{\pi }}x^3\cos \left(x^2\right)dx\\\\\mathrm{Apply\:u-substitution:}\:u=x^2\\=> 4\cdot \int _0^{\pi }\frac{u\cos \left(u\right)}{2}du\\\\\mathrm{Apply\:Integration\:By\:Parts:}\:u=u,\:v'=\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\int \sin \left(u\right)du\right]^{\pi }_0\\\\[/tex]
[tex]\int \sin \left(u\right)du=-\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0\\\\\mathrm{Simplify\:}4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0:\quad 2\left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0\\\\\mathrm{Compute\:the\:boundaries}:\quad \left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0=-2\\=> 2(-2) = - 4[/tex]
Hence proved that your solution is accurate.
Answer:
[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx=-4[/tex]
Step-by-step explanation:
So we have the integral:
[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx[/tex]
As told, let's use u-substitution first and then use integration by parts.
For the u-substitution, we can let u to be equal to x². So:
[tex]u=x^2[/tex]
Differentiate:
[tex]du=2x\, dx[/tex]
We can rewrite our integral as:
[tex]\int\limits^{\sqrt{\pi}}_0 {2x(2x^2)\cos(x^2)} \, dx[/tex]
Therefore, by making our u-substitution, our integral is now:
[tex]\int\limits {2u\cos(u)} \, du[/tex]
We also need to change our bounds. Substitute them into u. So:
[tex]u=\sqrt{\pi}^2=\pi\\u=(0)^2=0[/tex]
Therefore, our integral with our new bounds is:
[tex]\int\limits^{\pi}_{0} {2u\cos(u)} \, du[/tex]
Now, let's use integration by parts. Integration by parts is given by:
[tex]\int\limits {v}\, dy=vy-\int y\, dv[/tex]
(I changed the standard u to y because we are already using u).
Let's let v be 2u and let's let dy be cos(u). Thus:
[tex]v=2u\\dv=2\,du[/tex]
And:
[tex]dy=\cos(u)\\y=\sin(u)[/tex]
So, do integration by parts:
[tex]=2u\sin(u)-\int \sin(u)2\,du[/tex]
Simplify:
[tex]=2u\sin(u)-2\int \sin(u)\,du[/tex]
Evaluate the integral:
[tex]=2u\sin(u)+2\cos(u)[/tex]
Now, use the bounds. So:
[tex](2(\pi)\sin(\pi)+2\cos(\pi))-(2(0)\sin(0)+2\cos(0))[/tex]
Evaluate:
[tex]=(2\pi(0)+2(-1))-(0(0)+2(1))[/tex]
Simplify:
[tex]=(-2)-(2)[/tex]
Subtract:
[tex]=-4[/tex]
And we're done!
Daniella is celebrating her birthday by inviting her friends to the movies. At the early show, she can buy tickets
for $5 each and she plans on spending $20 on snacks. If y is the total cost she will spend, write an equation that
matches this situation.
Answer:
y=5x+20
Step-by-step explanation:
What is the equation of the line that has a slope of -2 and passes through the point (-1, 2)?
y = -2x − 4
y = -2x
y = -2x + 4
None of these choices are correct.
Answer:
The answer is
[tex]y = 2x[/tex]Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (-1 , 2) and the slope is - 2
The equation of the line is
[tex]y - 2 = - 2(x + 1) \\ y - 2 = - 2x - 2 \\ y = - 2x - 2 + 2[/tex]We have the final answer as
[tex]y = 2x[/tex]Hope this helps you
Japanese pan noodles. Ten students order noodles at a certain local restaurant. Their orders are placed independently. Each student is known to prefer Japanese pan noodles 40% of the time (it is a very popular and tasty dish!). a. What is the probability that all ten of the students order Japanese pan noodles
Answer:
The probability that all ten of the students order Japanese pan noodles is 0.0001048576.
Step-by-step explanation:
Note: See the attached Microsoft word file for the calculation.
What is 6 divided by 131.4
Answer:
.0456621
Step-by-step explanation:
simpily divide the two and youll get .0456621
which expression is the simplest form of 5(x-3)-3(2x+4)/9?
Answer:
-x - 27/ 9 this is it djdjdj
The simplest form of the expression [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression
[tex]\frac{5(x-3)-3(2x+4)}{9}[/tex]
⇒ (5x - 15 - 6x - 12) ÷ 9
⇒ (-x - 27)/9
⇒ [tex]\frac{-x-27}{9}[/tex]
Hence "The simplest form of the expression [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .
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What is the value of each marble?
Answer:
where
is
the
attachment
bruv?
Answer:
We wouldn't know because we have no information on the marbles.
Step-by-step explanation:
Eli ran 3/4 of a mile. Every 1/8 of a mile, he jumped over a hurdle. There was a final hurdle at the 3/4 mile park. How many hurdles did Eli jump over?
Linear function A and linear function B both have the same input values as shown below. Why will the output values for
linear function A always be different than the corresponding output values for linear function B?
Linear Function A
Linear Function B
х
1
3
5
7
9
y
3
7
11
15
19
х
1
3
5
7
9
у
4
8
12
16
20
O The initial values of the two functions are different, and the rates of change of the two functions are also different.
O The initial values of the two functions are differetly and the rates of change of the two functions are the same.
The initial values of the two functions are the same, and the rates of change of the two functions are different.
The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
Answer:
The initial values of the two functions are different and the rates of change of the two functions are the same
Step-by-step explanation:
In order for output values to always be different, the two linear functions must describe parallel lines. That means the rates of change are the same, but the initial values are different.
Answer:
probably too late but the answer is B
Step-by-step explanation:
A square serving platter has an area of 49cm2. What is the side length?
Answer:
the answer is 7 because the square of 49 is 7 and it asks for the side to equal it.
Step-by-step explanation:
I need help bad........
Answer:
I hope this helps tell me if I'm correct
PUHU
Noriko's final mark for her Financial Mathematics course was based on four tests with different weightings. Test one
counted for 10% of the final grade, test two for 20%, test three for 30% and test four for 40%. If Clara received 70% o test
one, 85% on test two, 64% on test three and 72% on test four, calculate her final mark.
Answer:
80 percent because the study was 100 she missed the 20 percent which was mixed because you can't change the psrcent
Step-by-step explanation:
and so if you have 100 percent right take the 20 away its 8 0percent because the 40 per entvdivided it up
solve for x 4x+15=71
Answer:
x=14
Step-by-step explanation:
4x +15 =71
4x =71 - 15
4x =56
x=56 :4
x=14
4 ×14 +15 =71
56 +15 =71
71 =71
Answer: X=14
Step-by-step explanation: Plug 14 in for x. 4*14 equals 56. 56+15 equals 71. and 71=71.
PLEASE HELPPP!!!
Which statement translates the equation?
8n + 15 = 3n + 60
A) Jessy and Paul all together have 8n + 3n cookies, Jessy has 15 cookies and Paul has 60 cookies. How many cookies does Jessy have?
B) Jessy and Paul all together have 15 + 60 cookies, Jessy has 8n cookies and Paul has 3n cookies. How many cookies does Jessy have?
C) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n cookies and Paul has 15 cookies. How many cookies does Jessy have?
D) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n plus 15 cookies more than and Paul. How many cookies does Jessy have?
Answer:
its c
Step-by-step explanation:
Write the slope-intercept form of the equation of the line given the
slope and y-intercept.
slope = -4; y-intercept = -7
Answer:
y= -4x-7 or 4x+y= -7
Step-by-step explanation:
we know y=mx+c
given,
m=-4 c=-7
the equation y= -4x-7 or 4x+y= -7
thank u
Answer:
y=-4x-7
Step-by-step explanation:
Hi there!
We are given that the slope of a line is -4, and the y intercept of this same line is -7
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept, hence the name
As we are given the values for both the slope and the y intercept of this line, we can immediately substitute those values into the equation
Let's start with the slope; substitute -4 as m in the equation
y=-4x+b
Now with the y intercept; substitute -7 as b into the equation
y = -4x - 7
Hope this helps!
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State the domain and range in interval notation
6th grade math pls help
Answer:
you just estimate it. which means pick a number that you think could be the right answer. estimates can never be wrong
Write the definition as a biconditional statement: Two angles are vertical angles when their sides form two pairs of opposite rays.
Answer:
Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays.
Step-by-step explanation:
A biconditional statement is one that must fulfill the two conditions of the statement for it to be true. The two required conditions in the statement are always connected by if and only if.
The required statement is: Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays
Vertical angles are equal and opposite. Therefore for the biconditional statement to be true, the angles should be vertical and their sides must form two pairs of opposite rays.
HELP WILL GIVE BRAINLIEST!!Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance.
15 minus 0.06 x greater-than-or-equal-to 5
What is the maximum number of copies Aiden can make?
Answer:
166
Step-by-step explanation:
$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)
10.00 divided by 0.06= 166
I hope this helps! :)
* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three collinear points.
Answer:
1. D
2. AE (with a line above the 2 letters)
3. AC (with an arrowpointing to the right above the 2 letters)
4. B, A, and C
Which pound bag is the lowest price per pound of dog food?
They are all the same cost per pound.
30
8
22
PLEASEPLEASEHELP i need
Answer:
B
Step-by-step explanation:
hope you get the best grade
find 6/7 divided 2/9. and put your answer as a reduced fraction.
Answer:
3 6/7
Step-by-step explanation:
divide 6/7 by 2/9 and that equals 3 6/7 and since you cant simplify that the answer stays the same which the answer is 3 6/7
Aref (x) = StartFraction 1 Over 8 EndFraction x cubed and g (x) = 2 x Superscript one-third inverses of each other? Check all that apply. The simplified expression for f(g(x)) is x. The simplified expression for f(g(x)) is One-fourth x. The simplified expression for g(f(x)) is 2x. The simplified expression for g(f(x)) is x. The functions are inverses of each other. The functions are not inverses of each other.
Answer:
The simplified expression for f(g(x)) is x. The simplified expression for g(f(x)) is x. The functions are inverses of each other.Step-by-step explanation:
Given:
[tex]f(x)=\dfrac{1}{8}x^3\\\\g(x)=2x^{\frac{1}{3}}[/tex]
We find that ...
[tex]f(g(x))=\dfrac{1}{8}(2x^{\frac{1}{3}})^3=\dfrac{1}{8}(2^3)(x^{\frac{3}{3}})=\dfrac{8}{8}x\\\\\boxed{f(g(x))=x}\\\\g(f(x))=2\left(\dfrac{1}{8}x^3\right)^{\frac{1}{3}}=2\left(\dfrac{1}{8^{\frac{1}{3}}}\right)(x^{\frac{3}{3}})=\dfrac{2}{2}x\\\\\boxed{g(f(x))=x}[/tex]
__
So, the statements that apply are ...
The simplified expression for f(g(x)) is x. The simplified expression for g(f(x)) is x. The functions are inverses of each other.Answer:
A, D, E
The simplified expression for f(g(x)) is x.
The simplified expression for g(f(x)) is x.
The functions are inverses of each other.
Step-by-step explanation:
Got it right on edg :)
-7 (8s + 9f) if s = -5 and f = -3
Answer:
469
Step-by-step explanation:
Substitute -5 and -3 into the equation:
-7(8 (-5) + 9 (-3)
-7(-40 - 27)
-7(-67)
+469
Mahalia is making cloth napkins. She bought fabric that is 12 inches wide and 6 yards long. How much napkins can Mahalia make if each napkin is 1 foot by 1 foot?
Mahalia can make a total of 18 napkins using the fabric which she has bought.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
Given that,
She has 12 inches wide and 6 yards long fabric.
Since 1 yards = 36 inches.
So,
6 yards = 6 × 36 = 216 inches.
Now,
The total surface area of napkins ⇒ 12 × 216
⇒ 2592 inch²
Area for 1 napkin = 1 foot × 1 foot
Since 1 foot = 12 inches
So,
Area for 1 napkin = 12 × 12 = 144 inch²
Number of napkins can be made = The total surface area of napkins / Area for 1 napkin
Number of napkins that can be made = 2592 inch² / 144 inch²
⇒ 18
Hence "Mahalia can make a total of 18 napkins using the fabric which she has bought".
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(Number 4)help...plzz
The ratio of the sides of a triangle is 8:15:17. Its perimeter is 480 inches. Find the length of each side of the triangle.
Answer:
96 inch,180 inch,216 inch
Step-by-step explanation:
let the sides be 8x,15x,17x
then 8x+15x+17x=480
40x=480
4x=48
x=48/4=12
8x=8×12=96
15x=15×12=180
17x=17×12=216