One number is 13 more than another number. Their sum is 27. Find the two numbers.
Enter your answer as a list of numbers separated by a comma: a,b
Add 14 and 13+14=27...ans
Let f(x)=5x^4 and g(x)=e^2x+x. If h is the function defined by h(x)=f(g(x)), which of the following gives a correct expression for h′(x)?
The values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 ).
Option C is the correct answer.
Given,
f(x)=5x^4 and g(x)=e^2x+x.
If h is the function defined by h(x)=f(g(x)),
We need to find h′(x).
What is the differentiation formula for the following?We have,
dx/dx = 1
d[tex]x^{n}[/tex]/dx = n[tex]x^{n-1}[/tex]
d[tex]e^{x}[/tex]/dx = [tex]e^{x}[/tex]
d[tex]e^{n}[/tex]/dx = [tex]ne^{n}[/tex]
d(cx)/dx = c(dx/dx) = c
We have,
- f(x)=5[tex]x^{4}[/tex] ______(1)
- g(x)=[tex]e^{2x}[/tex]+x ______(2)
- h(x)=f(g(x)) _______(3)
Now,
h(x) = f ( [tex]e^{2x}[/tex]+x )
From (1)
h(x) = 5[tex](e^{2x} + x) ^{4}[/tex] ______(4)
Now,
Differentiate (4)
h'(x) = 5 d[tex](e^{2x} + x) ^{4}[/tex]/dx
h'(x) = 5 x 4 [tex](e^{2x} + x) ^{3}[/tex] d [tex](e^{2x} + x)[/tex] / dx
h'(x) =20 [tex](e^{2x} + x) ^{3}[/tex] ( d[tex]e^{2x}[/tex]/dx + dx/dx )
h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 )
Thus the values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 ).
Option C is the correct answer.
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Melinda put 64 pieces of cake on a table. She placed them in 8 rows with the same number in each row. Each row had an equal number of two flavors of cake. How many pieces of each flavor were in one row?
( ugh math)
Answer:
There were 4 pieces
Step-by-step explanation:
Please help me I am very confused and I can’t get it wrong!!!!
Answer:
The answer that you are looking for is b
12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 58 cm² (c) 60 cm² (d) 64 cm²
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
In triangle TPQ,
RS || PQ, RS = 3 cm, PQ = 6 cm, ar(∆ TRS) = 15 sq. cmAs it is given that, RS || PQ
So, it means
⇛∠TRS = ∠TPQ [ Corresponding angles ]
⇛ ∠TSR = ∠TPQ [ Corresponding angles ]
[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]
Now, We know
Area Ratio Theorem,
This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]
[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]
What is the missing side length of this right triangle? Type the answer in the box.
13 in.
5 in.
х
1
Answer:
13in
Step-by-step explanation:
remember it's the same angle width.
Simplify the expression to a + bi form:
(4 – 3i) - (9 - 71)
Answer:
66-3i
Step-by-step explanation:
(4-3i)-(9-71)
(4-3i)-(-62)
(4-3i)-62
66-3i
Dilations of a triangle are congruent to the original triangle.
Answer:
origanal
Step-by-step explanation:
origanaol
6.5 x 1/9 please help
Answer:
13/18
Step-by-step explanation:
6.5 · 1/9 = 6 5/10 · 1/96 5/10 · 1/9 = 6 1/2 · 1/96 1/2 · 1/9 = 13/2 · 1/913/2 · 1/9 = 13/18Therefore, 6.5 · 1/9 = 13/18.
okay now i rlly need this done man
Answer:
x=9.5
EDIT: Its actually x=6Step-by-step explanation:
Brainliest?PLEASE?Answer:
4
8
+
2
{\color{#c92786}{\frac{4x}{8}}}+2
84x+2
2
+
2
Step-by-step explanation: please mark brainliest
cho tập hợp A=(2;7)và tập hợp B=[7;10]tìm tập hợp a∩B
sorry po di ko ma intindihan
Step-by-step explanation:
sorry po
answer the equation please <33
Answer: Total cost = 4m
Step-by-step explanation:
Each meal is $4, so the total would be the number of meals times $4/meal: Total = 4m
Answer:
dₙ = (m-1)*4
Step-by-step explanation:
d1: initial dollar d1=0
dₙ = (m-1)*4
d₁ = (1-1)*4 = 0
d₂ = (2-1)*4 = 4
d₃ = (3-1)*4 = 8
If l||m, find the value of y
Answer:
Step-by-step explanation:
6x + 7 + 3x - 16 = 180 {Supplementary}
6x + 3x + 7 - 16 = 180
9x - 9 = 180
9x = 180+ 9
9x = 189
x = 189/9
x = 21
6x + 7 = 6*21 + 7 = 126 + 7 = 133
11y - 32 = 6x + 7 {Vertically opposite angles}
11y - 32 = 133
11y = 133 + 32
11y = 165
y = 165/11
y= 15
how many eighths are in 1/3?
Answer:
1/3 = 2 2/3 eighths.
Step-by-step explanation:
There are 2(2/3) eights in 1/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Eighths = 1/8
Now,
(1/8)x = 1/3
Solve for x.
x = 1/3 x 8/1
x = 8/3
x = 2(2/3)
Thus,
There are 2(2/3) eights in 1/3.
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Your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How many bins do you need? Remainder:
Quotient:
Answer:
how many bins do I need.
what to do with remainder
do l Ignored it or Round the quotient up
then explain
THANK U!!!
Answer:
you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books
Please help me with this question
PLS HELP ASAP WILL MARK BRAINLEIST
Answer:
a^8
I hope this is the correct answer
have a great day
Answer:
a³
Step-by-step explanation:
(a².a³.(a-¹)²)
a²+³.a-¹×2
a⁵.a-²
a⁵+(-²)
a⁵-²
a³
hELPPP pls quick thanks <3
Answer: can you show the selections?
Step-by-step explanation:
-65 is 5 times a product of 5 and a number
Answer:
Step-by-step explanation:
=-65*5
=-325
PLS HELP GIVING BRAINLIEST!
Given f(x)=3x^2+x−5, find: f(−1)
Answer:
-3
Step-by-step explanation:
its very easy correct me if im wrong brainliest btw
Savannah divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. She put 1/4 of a liter into each bottle. How many smaller bottles did Savannah fill?
Answer:
2
Step-by-step explanation:
find how many fourths are in a half:
1/2 = 2/4
if there's 2/4 in a half, then she filled two bottles
have a wonderful day :)
The perimeter of a rectangular field is 358 m.
If the length of the field is 96 m, what is its width?
Answer: 83 meters
Step-by-step explanation:
The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.
2(96) + 2w = 358
192 + 2w = 358
2w = 166
w = 83
Hope it helps :) and let me know if you want me to elaborate.
5/7 divided by 2/7. Divide
Answer:
2.5 am i right
please mark me as brainliest
Answer:
2.5 or 35/14
Step-by-step explanation:
Tarek will spend at most $26 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.
Answer:
c<$12
Step-by-step explanation:
$26-$14>c
$12>c
c<$12
Answer:
14 + c ≤ 26
Step-by-step explanation:
Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!
will mark brainliest
Answer:
148 deger ❤❤❤❤❤❤❤❤❤❤
32 meter
×/2=y/3; y/4=z/4 và x+2y-z=10
I need help on this question
Answer:
1 is equal
2 is greater
3 is greater
Step-by-step explanation:
2^3 x 2^5 is 32, and 2^5 is 32, meaning these are equal.
2^2 x 3^2 is 36, and 6^3 is 216, meaning 6^3 is greater.
2^3 x 3^2 is 72, and 6^2 is 36, meaning that 2^3 x 3^2 is greater.
Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
A) 20
B) 12
C) 14
D) 15
Answer:
a is the answer
Step-by-step explanation:
here
Please help, I’ll mark your answer as brainliest!
Answer:
1,234 thats the answer
What is the value of x?
give us a problem or somen
Step-by-step explanation:
Answer:
x=4, i did the other one on ur acc, sad to see these points go to waste.
Step-by-step explanation: