Answer:
46
Step-by-step explanation:
6 + 4 x {3+7} [B.O.D.M.A.S rule] (First bracket)
= 6 + 4 × 10. (Then Multiplication)
= 6 + 40. ( At last addition)
= 46 (Ans)
The simplified value of the expression 6 + 4 × {3 + 7} is 100.
What is PEMDAS rule?PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
Given, An expression 6 + 4 × {3 + 7}.
First, we'll add 6 and 4 as 3 and 7 are inside curly brackets,
not in parentheses.
Therefore,
6 + 4 × {3 + 7}.
= 10 × {3 + 7}.
Now, we can either distribute the terms or take the addition and multiply.
= 10 × 10.
= 100.
learn more about PEMDAS rule here :
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Let f be a differentiable function such that f(1)=π2 and f′(x)=3arctan(x2−3x+2). What is the value of f(3) ?
Answer:
2.899
Step-by-step explanation:
Given that:
[tex]f' (x) =3 tan ^{-1} (x^2 -3x +2)[/tex]
[tex]\text{applying integration on both sides with respect to x}[/tex]
[tex]\int \limits ^{3}_{1}} f'(x) \ dx = \int ^3_1 3tan ^{-1} (x^2 -3x+2) \ dx[/tex]
[tex]f(3)-f(1)= 3 \int ^3_1 3tan ^{-1} (x^2 -3x+2) \ dx[/tex]
[tex]f(3) = \dfrac{\pi}{2}+3\int^{3}_{1} tan^{-1} (x^2 -3x+2)dx ---(1)[/tex]
[tex]\text{consider } \ \ 3\int^{3}_{1} tan^{-1} (x^2 -3x+2)dx[/tex]
[tex]h = \dfrac{b-a}{n}[/tex]
[tex]where; n = 10 , a =1, b= 3[/tex]
[tex]h = \dfrac{3-1}{10}[/tex]
[tex]h = \dfrac{2}{10}[/tex]
[tex]h = 0.2[/tex]
[tex]\text{The value of x and corresponding } y = 3tan^{-1}(x^2-3x+2) \ are:[/tex]
x 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3
y f(0) f(1.2) f(1.4) f(1.6) f(1.8) f(2.0) f(2.2) f(2.4) f(2.6) f(2.8) f(3)
By simpson's rule:
[tex]\int \limits ^3_1 \ 3 tan^{-1} (x^2-3x+2) dx \simeq \dfrac{h}{3}(y_o+y_{10}) +4(y_1+y_3+y_5+y_7+y_9)+2(y_2+y_4+y_6+y_8)][/tex]
[tex]=\dfrac{0.2}{3}\Big[(0+3.3214)+(-1.9039+2.8265+1.4133+6.1259+11.5657)+2(-1.4133-0.9519+1.4133+4.5899)\Big][/tex]
[tex]= 1.32804[/tex]
[tex]\text{From}; f(3) = \dfrac{\pi}{2}+1.32804 \\ \\ f(3) = 2.89883633 \\ \\ \mathbf{f(3) \simeq 2.899}[/tex]
Trapezoidal rule is used to evaluate the area of the curve by using various strips of equal width which is in the form of trapezoids. The value of [tex]f(3)[/tex] is 2.8989.
Given information
In the given problem [tex]f[/tex] is the function such that,
[tex]f(1)=\dfrac{\pi}{2} \\[/tex]
The differentiated function is,
[tex]f'(x)=3\tan^-(x^2-3x+2)[/tex]
Integrate the above equation with respect to the x,
[tex]\int\limits^3_1 {f'(x)} \, dx =\int\limits^3_1 {3\tan^-(x^2-3x+2)} \, dx\\f(3)-f(1) =\int\limits^3_1 {3\tan^-(x^2-3x+2)} \, dx\\f(3) =3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx +f(1)\\f(3) =3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx +\dfrac{\pi}{2}[/tex] .........1
Let the above equation is the equation number 1.
Let the integrated function,
[tex]y=3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx[/tex]
Solve the above equation using the trapezoidal rule.
Trapezoidal rule-Trapezoidal rule is used to evaluate the area of the curve by using various strips of equal width which is in the form of trapezoids.
In the given problem,
[tex]h=\dfrac{b-a}{n}[/tex]
Use this formula for the integrated function,
[tex]h=\dfrac{3-1}{10}\\h=0.2[/tex]
Use the Simpson formula to solve the above equation,
[tex]=3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx[/tex]
[tex]=\dfrac{h}{3} (y_0+y_{10})+4(y_1+y_3+y_{5}+y_7+y_{9})+2(y_2+y_{4}+y_6+y_{8})[/tex]
Find the value of y by putting the values in the given formula. Thus,
[tex]=\dfrac{0.2}{3} (0+3.3214)+4(-1.9039+2.8266+1.4133+6.1259+11.5657)+2(-1.4133-0.9519+1.4133+4.5899)\\=1.32804[/tex]
Put this value in equation 1,
[tex]f(3) =1.30824 +\dfrac{\pi}{2}\\f(3)=2.8989[/tex]
Thus the value of [tex]f(3)[/tex] is 2.8989.
Learn more about the trapezoidal rule here;
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In the figure below, mZ1 =(x+44) and mZ2=3xº.
Find the angle measures.
Answer:
where is the diagram? please provide the diagram.
Michael has read 1/2 of a book. Amelia has read 2/3 of the same book. Who has read more of the book?
Answer:
amelia
Step-by-step explanation:
Answer:
Step-by-step explanation:
To compare fractions, they need to have a common denominator.
The least common denominator of 1/2 and 2/3 is 6.
1/2 = 3/6
2/3 = 4/6
Now find the fraction with the larger numerator.
4/6 > 3/6, so 2/3 > 1/2
The function h(t)=-16t^+144 represents the height, h(t), in feet of an object from the ground at t seconds after it is dropped. A realistic domain for this function is?
Answer:
[tex]0 \le t \le 3[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 144[/tex]
Required
Determine a reasonable domain
The domain is the possible values of t for which h(t) is true
Before the object is released, the value of t is:
[tex]t = 0[/tex]
Next, is to calculate the value of t after the ball reaches the ground.
At this point, h = 0.
So, we have:
[tex]h(t) = -16t^2 + 144[/tex]
[tex]0 = -16t^2 + 144[/tex]
[tex]16t^2 = 144[/tex]
Divide both sides by 16
[tex]t^2 = 9[/tex]
Take the positive square root of both sides
[tex]t = 3[/tex]
This means that the ball reaches the ground in 3 seconds.
So, the domain is:
[tex]0 \le t \le 3[/tex]
calculate x. (geometry)
im in need of help, its due in like 14 minutes
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Isosceles triangles.
Since, the sides are equal, we can equate them, so we get as,
==> 16x + 13 = 24x -19
=> 24x -16x = 13+19
=> 8x = 32
x = 4
hence ==> x = 4.
A biologist estimates that the human body contains 90 pounds of water for every 100 pounds of body weight. At the rate estimate the number of pounds of water in a child who weighs 80 pounds
Answer:
72 lb
Step-by-step explanation:
Write and solve an equation of ratios:
80 pounds x
----------------- = ------------------
100 pounds 90 pounds
Cross multiplying, we get (100 pounds)x = 7200, or x = 72 pounds.
The 80 pound child's weight includes 72 pounds of water.
What does inversely proportional mean
Answer:
dkdkkdjdkdkdkkskzksskisks
divide 80,000 by 100 please help
Answer:
800
Step-by-step explanation:
80000 / 100 is 800
Answer:
80,000/100= 800
....................
Solve the equation: 2/3x+1/4=3
Answer:
x = 33/8
Step-by-step explanation:
2/3 x + 1/4 = 3
Subtract 1/4 from both sides.
2/3 x = 3 - 1/4
2/3 x = 12/4 - 1/4
2/3 x = 11/4
Multiply both sides by 3/2.
3/2 * 2/3 x = 3/2 * 11/4
x = 33/8
What is the general formula of a quadratic equation
Answer:
ax2 + bx + c
Step-by-step explanation:
Draw and label a picture if necessary.
Define all of the variables.
Determine if there is a special formula needed. Substitute the given information into the equation.
Write the equation in standard form.
Factor.
Set each factor equal to 0. ...
Check your answers.
Answer:
The Quadratic Formula: For ax2 + bx + c = 0, the values of x which are the solutions of the equation are given by:
x = −b + √(b2 − 4ac)2a
How many pizzas can Naylah make with 9 blocks of cheese?
Heres more info qs
How many pizzas can she make if each pizza needs a given amount of cheese?- the given amount of cheese is 1/5 block of cheese
Is this statement true or false? A finance charge is what you pay to ship a purchase.
Answer:
false
Step-by-step explanation:
I took the test
Answer:
I think the answer is false
which expression is equlvalent to the given expression? assume the denominator does not equal zero.
14x⁴y⁶/7x⁸y²
I attached the the answers
Answer:
the answer is A. 2y^4/x^4
Step-by-step explanation:
i took the test and there is this app for pc called wolfamalpha.com
Answer:
A. 2y^4/x^4
Step-by-step explanation:
hetgerqfregerqgrqe
The value of a fifth stock, stock E, changed by 2 1/2 times as much as Stock D. What is the change in value in Stock E?
Answer: — Cramer: Tesla is the first non-traditional tech stock that could move the market ... The electric car maker has a 1.69% weighting in the index, the fifth largest. ... (S&P Dow Jones uses float-adjusted market value rather than the outright number.) ... For every $11.11 Tesla moves, the S&P 500 changes 1 point, ...
pls Brainliest
A fossilized leaf contains 8% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14.
Answer:
Step-by-step explanation:
0.5^(t/5600) = 0.08
2^(-t/5600) = 0.08
-t/5600 = log₂0.08
t = -5600 log₂0.08 ≈ 20406 years
Please help! Giving 20 points!! I only need number 11
five people can finish painting a wall in 5 hours if only 2 people are available how many hours do they have to work to finish the same job
with solution please
and what type of proportion
thank you very much
Answer:
The number of hours required for 2 people to do the same job/work is 12.5 hours.step by step expanation:The number of hours required for 2 people to do the same job representedby x:
(5 people) (5 hours)x = ------------------------------ 2 people 25 hoursx = ------------------- 2x = 12.5 hoursHope it helpfullThe diagram shows an equilateral triangle, a square, and one diagonal of the square. what is the value of x
Answer:
can u get a pic of the diagram
Step-by-step explanation:
Each student in a group of 32 students was asked the following question.
"Do you have a desktop computer (D), a laptop (L) or a tablet (T )?"
Their answers showed that
Answer:
.shsnxbjsjJsjsiakzjxjisksjxjs
Can someone help me find the solution to these equations by using substitution
Plz help will give brainliest for brainliest!!!!!!
Answer:
1
Step-by-step explanation:
The use of
Parenthesis(1+2)=3
Exponents- none
Multipy- 2 times the 3 is 6
Divide 6/6 is 1
Add- none
Subtract- none
Answer:
9
Step-by-step explanation:
you should have search it up :)
HAVE A GREAT DAY
Eva marked 18% of the e-mails in her Inbox as Important. If she has 150 e-mails in her Inbox, how many did she mark as Important?
A n=0.18(150)
B 150n= 0.18
C 0.18n=150
D n=0.18/150
Answer:
A
Step-by-step explanation:
To find the percent of a number, write the percent as a decimal and multiply it by the number
$2is what percent of $10
Answer:
2persent
Step-by-step explanation:
because there are 10 10 in 100
Answer:
20%
Step-by-step explanation:
What is the value of b?
A.6
B.2sqr 13
C.3sqr13
D.3sqr14
Answer:
En este caso 70 ° y 20 ° son complementarios porque 70° + 20° = 90°.
Más ejemplos podrían ser 47° y 43°, ya que 47° + 43° = 90°, 30° y 60°, 45° y 45° , etc.
Dos ángulos son suplementarios si su suma forma un ángulo llano, es decir, 180°.
simplify -2.2f + 0.8f - 15 - 3 please help
It would be -1.4f-18. I hope this helps!!
Answer:
Simplify the expression.
− 1.4 f − 18
Step-by-step explanation:
Find the slope of the line that passes through the points A (0, 2) and B (4, –1).
Use the formula (y2 - y1) / (x2 - x1)
Answer:
-3/4
Step-by-step explanation:
y2-y1/x2-x1 =
-1-2/4-0=
-3/4
Given the function, where a, b, and c are positive numbers:
f(x) = (x - a)(x - b)2(x2 + c)
How many real roots does f(x) have, including multiple roots? |
How many imaginary roots does f(x) have?
Answer:
2 real roots and 1 imaginary roots
Step-by-step explanation:
f(x) = [tex](x-a)(x-b)^{2} (x^{2}+c)[/tex]
There are only 2 real roots and one imaginary roots.
Separate the equation into sections because the function is a multiplication with no outside sum or substraction:
Real Roots:
[tex](x-a)[/tex] = 0 when x = a
[tex](x-b)^{2}[/tex] = 0 when x = b
Imaginary roots:
[tex](x^{2}-c)[/tex] = 0 when x = [tex]\sqrt{-c}[/tex]
Which expressions are equivalent to g + h + (j + k)? Check all that apply.
g + (h + j) + k
(g + h) + j k
(g + h) + j + k
g + (h j) + k
g h + j k
g (h + j) k
g + h (j + k)
Answer:
According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.
So answers 1. and 3. are correct.
Step-by-step explanation:
Answer:
person above seems corect and he said a and c
calvin has a fever with 38.5 degrees celsius, after taking medicine it drops by 2 degrees celsius. write the temperature of calvin after taking medicine
Answer:
36.5 degrees Celsius
Step-by-step explanation:
38.5-2=36.5 degrees Celsius
One number is four more than a second number. Three times the first is 13 less than 2 times the second. Find the numbers
Answer:
11
Step-by-step explanation:
cuz i know lol
