Answer:
0.25 as a fraction is 25/100, which further simplified becomes 1/4
Given the functions below, find f(x) + g(x)
f(x) = 3x - 1
g(x) = x2 + 4
Answer:
x^2+3x+3
Step-by-step explanation:
f(x) = 3x - 1
g(x) = x^2 + 4
f(x) + g(x) = 3x-1+ x^2 +4
Combine like terms
= x^2+3x+3
Harold used 6 centimeters of tape to wrap 3 presents. What is the unit rate?
Answer:
2cm/present is the unit rate
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Harold used \underline{\underline{6 centimeters of tape}} to wrap}\\\huge\text{\underline{\underline{3 presents}}. \underline{\underline{\underline{What is the unit rate?}}}}[/tex]
[tex]\huge\boxed{\star \ Formula: \mathsf{\dfrac{a}{b}= unit\ rate \ }\star}[/tex]
[tex]\huge\boxed{\mathsf{Equation\boxed{\rightarrow}\ \dfrac{6}{3} = \boxed{unit\ rate}}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{6}{3} = \boxed{\bf unit\ rate}}}\\\\\\\huge\boxed{\mathsf{ 6 \ \boxed{\div} \ 3\ \boxed{= } \ \bf\boxed{\bf unit\ rate}}}\\\\\\\\\huge\boxed{\boxed{=} \bf \ 2}[/tex]
[tex]\huge\boxed{\star\ \textsf{Therefore, the UNIT RATE IS: \bf \boxed{\bf 2}}\ \star}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: the unit rate is \bf \boxed{\underline{\underline{\underline{\underline{\bf 2}}}}}}}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Let be the density function for the shelf life of a brand of banana which lasts up to weeks. Time, , is measured in weeks and . Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place. Mean
The question is incomplete. The complete question is :
Let [tex]p(t) = -0.0375t^2 + 0.225t[/tex] be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and [tex]$0 \leq t \leq 4$[/tex]. Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.
Answer:
2.4
Step-by-step explanation:
Given :
[tex]p(t) = -0.0375t^2 + 0.225t[/tex]
Mean :
[tex]$=\int_0^4 tp (t) \ dt$[/tex]
[tex]$=\int_0^4 t (0.0375 t^2 + 0.225t) \ dt$[/tex]
[tex]$=-0.0375 \int_0^4 t^3 \ dt + 0.225 \int_0^4 t^2 \ dt$[/tex]
[tex]$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$[/tex]
[tex]$=-0.0375 (64) + 0.225 \left( \frac{64}{3} \right)$[/tex]
[tex]$=-2.5 + 4.8$[/tex]
= 2.4
Therefore, the mean is 2.4
PT= 3x+4 and TQ=5x-8
Answer:
So if PT=TQ and TQ=7x-9
PT=5x+3=TQ=7x-9
5x+3=7x-9
minus 5x both sides
3=2x-9
add 9 both sides
12=2x
divide 2
6=x
PT=5x+3
PT=5(6)+3
PT=30+3
PT=33
PT=QT=33
x=6
Hoped I helped you.what is the solution to the equation below? sqrt x-7 = 5
A. 144
B. 12
C. 2
D. 4
Answer:
I think the answer is B.12
If this not correct, Sorry.
Find the largest integer not greater than the following expression :
[tex]\displaystyle \large \boldsymbol{} \frac{2150}{2005} +\frac{2150}{2006} +\frac{2150}{2007 } + ...+\frac{2150}{2020}[/tex]
Answer:
17Step-by-step explanation:
The number of terms:
2020 - 2004 = 16Each term is greater than 1, so the expression is greater than 16:
2150/2005 = 1 + 145/20052150/2006 = 1 + 144/2006...2150/2020 = 1 + 130/2020It's easy to note each of the numbers getting smaller like 145/2005 > 144/2006 etc. Taking the smallest fraction.
The sum is:
S > 16 + 16*130/2020 = 16 + 2080/2020 > 16 + 1 = 17So the largest integer not greater than S is 17.
HELP ASAP
The graph of f(x)= |x| is chosen below. Write the equation for the stretched graph, g(x).
Answer:
y = |3x|
Step-by-step explanation:
Ian has 300 counters in a bag. Paul
takes 42 of them. Derek takes 65 of
them. Anne takes 33 of them. What
fraction does Ian have left? Give your
answer in its simplest form.
Find the Value of y. 70 60 65 40
Answer:
125
Step-by-step explanation:
360-70-60-65-40
= 125
Answered by GAUTHMATH
please help me with that
Answer:
[tex]\frac{16}{81}[/tex]
Step-by-step explanation:
[tex](\frac{27}{8} )^{-\frac{4}{3} }[/tex]
[tex]=((\frac{3}{2} )^3)^{-4/3}[/tex]
[tex]=(\frac{3}{2} )^{-4}[/tex]
[tex]=(\frac{2}{3} )^{4}[/tex]
[tex]=\frac{16}{81}[/tex]
Answer:
16/81
Step-by-step explanation:
a negative exponent means 1/...
the number in the numerator means "to the power of".
the number in the denominator means take the root of that power.
so, we have to take the third root of the expression, or this then to the power of 4, and finally build 1/... if the whole result.
and the sequence is not making a difference.
the third root of of 27/8 = 3/2
this to the power of 4 = 81/16
this 1/... = 16/81
From the table below, determine whether the data shows an exponential function. Explain why or why not. x 3 1 -1 -3 y 1 2 3 4 a. No; the domain values are at regular intervals and the range values have a common sum 1. b. No; the domain values are not at regular intervals. c. Yes; the domain values are at regular intervals and the range values have a common factor 2. d. Yes; the domain values are at regular intervals and the range values have a common sum 1. Please select the best answer from the choices provided A B C D
Answer:
C
Step-by-step explanation:
you find the variable
Determine which equations have the same solution set as 2/3 -x +1/6 = 6x by recognizing properties, rather than solving. Check all that apply.
Answer:
The answer is "0.1190".
Step-by-step explanation:
Given:
[tex]\to \frac{2}{3} -x +\frac{1}{6} = 6x\\\\\to \frac{2}{3} +\frac{1}{6} = 6x+x\\\\\to \frac{4+1}{6} = 7x\\\\\to \frac{5}{6} = 7x\\\\\to x=\frac{5}{6\times 7} \\\\\to x=\frac{5}{42}\\ \\\to x= 0.1190[/tex]
Answer:
A.) 4 - 6x + 1 = 36x
B.) 5/6 - x = 6x
F.) 5 = 42x
Step-by-step explanation:
edge.
( 2 + 3 ) ^-1 x ( 2 ^-1 + 2^-1 )
Answer:
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boxed{ \boxed{\boldsymbol{Rule : a^{-1}=\frac{1}{a} }}} \\\\\\\\ (2+3)^{-1} \times (2^{-1}+2^{-1}) = \\\\1)\ (2+3)^{-1}=5^{-1}=\frac{1}{5} \\\\2)\ 2^{-1}+2^{-1}=\frac{1}{2} +\frac{1}{2} } =1 \\\\3)\ \frac{1}{5} \cdot 1=\boxed{\frac{1}{5} }[/tex]
A company determines that its weekly online sales, Upper S (t ), in hundreds of dollars, t weeks after online sales began can be estimated by the equation below. Find the average weekly sales for the first 3 weeks after online sales began. Upper S (t )equals2 e Superscript t
Answer:
$1272.36 ( average weekly sales for first 3 weeks )
Step-by-step explanation:
weekly online sales = S(t)
Determine average weekly sales for first 3 weeks
S(t) = 2e^t
total sales = ∫ S(t) dt
∴ Average weekly sales for first 3 weeks ( note : S(t) = 2e^t )
= [tex]\int\limits^3_0 {2e^t \, dt / ( 3 - 0 )[/tex]
= 2 [ e^t ] ³₀ / 3 = 2 ( e^3 - e^0 ) / 3 = 2 ( 6.3618 ) = 12.7236 hundreds
= $1272.36 ( average weekly sales for first 3 weeks )
find H.C.F OF 4x²y and xy²
Answer:
xy
Step-by-step explanation:
The HCF is known as the highest common factor. To find the HCF of two values, we have to take the greatest number that fits into all of their factors.
To start, we can list each value's factors.
For 4x²y, this can also be written as 4*x²*y = 4*x*x*y. In multiplication, we can take the factors of each value that is multiplied. Therefore, we can start with the factors of 4 and then go to the factors of x² and so on. Our factor list is thus 1,2,4,x,x²,y
Similarly, for xy² = x*y*y, our factors are x, y, and y²
The common factors for each of these are x and y. Assuming all values are positive and greater than 1, the x*y will be greater than either x or y. Therefore, the highest common factor would be x*y = xy
Simplify: 0.9(2b-1)-0.5b+1
Answer:
Step-by-step explanation:
0.9*2b = 1.8b
0.9*-1 = -0.9
So far we have 1.8b-0.9. It can't be simplified further.
Then, we add the 2nd part, -0.5b+1.
We have:
1.8b-0.9-0.5b+1. Next we combine like terms.
1.8b-0.5b = 1.3b.
-0.9+1 = 0.1
Then we put it together.
1.3b+0.1 is our answer.
Hope this helped! Have a nice day :D
Hi there!
»»————- ★ ————-««
I believe your answer is:
1.3b + 0.1
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying...}}\\\\0.9(2b-1)-0.5b+1\\--------------\\\rightarrow 1.8b - 0.9 - 0.5b + 1\\\\\rightarrow 1.8b - 0.5b - 0.9 + 1\\\\\rightarrow \boxed{1.3b +0.1}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Classify the polynomial 5x3 + 4x - 2 by degree.
Answer:
3
Step-by-step explanation:
3 would be the degree of the polynomial since it has the highest degree.
Please help explanation if possible
Answer:
17.6
Step-by-step explanation:
Answer:
80 pennies ; 160 nickels
Step-by-step explanation:
Given the 2 equations
0.01p + 0.05n = 8.80 → (1)
n = 2p → (2)
Substitute n = 2p into (1)
0.01p + 0.05(2p) = 8.80
0.01p + 0.1p = 8.80
0.11p = 8.80 ( divide both sides by 0.11 )
p = 80
Substitute p = 80 into (2)
n = 2 × 80 = 160
There are 80 pennies ; 160 nickels
Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|
Answer:
D
Step-by-step explanation:
The absolute value of a number is the actual distance of the number from zero. So, it is always a positive number. No negative value.
A) I -4.5I = 4.5 TRUE
B) I 0I < I -45I TRUE
Reason: 0 < 45
C) I 45 I > 0 TRUE
D) I4.5 I > I - 45 I FALSE
Reason: 4.5is not greater than 45
Answer:
D
Step-by-step explanation:
Hassan drove 78 miles in 1ị hours. If he drove at a constant rate, how far did he
travel in one hour? Enter your answer as a whole number, proper fraction, or mixed
number in simplest form.
Answer:
1 1/3 hours
Step-by-step explanation:
I took the same test
If the curved surface area of a cylinder with height 15cm is 1320cm², find total surface area
Answer:
2552cm^2
Step-by-step explanation:
C.S.A=1320cm^2 ;r=?
h=15cm.
[C.S.A. = 2πrh]
(r=1320×7/660=14cm)
Now,
TSA of cylinder = 2πr (h + r) sq
TSA=2×22/7(15+14)=2552cm^2
Find a (Round to the nearest tenth). PLS HURRY!!
Answer:
a = 56.3°
Step-by-step explanation:
tan(a) = 9/6 = 1.5
atan(1.5) = 56.31°
Answer:
[tex]\boxed {\boxed {\sf 56.3 \textdegree}}[/tex]
Step-by-step explanation:
We are asked to find the measure of angle a.
This triangle is a right triangle because of the small triangle in the corner representing a 90 degree or right angle. Therefore, we can use trigonometric functions. The three main functions are:
sinθ=opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacentThe side measuring 6 is adjacent or next to angle a. The side measuring 9 is opposite angle a. Therefore, we will use the tangent function.
[tex]tan \theta= \frac{ opposite}{adjacent}[/tex]
[tex]tan \ a = \frac{ 9}{6}[/tex]
Since we are solving for an angle measure, we use the inverse trigonometric function.
[tex]tan ^{-1} * tan \ a = tan ^{-1} * \frac{9}6}[/tex]
[tex]a= tan ^{-1} * \frac{9}6}[/tex]
[tex]a= 56.30993247[/tex]
Round to the nearest tenth. The 0 in the hundredth place tells us to leave the 3 in the tenth place.
[tex]a \approx 56.3[/tex]
The measure of angle a is approximately 56.3 degrees.
Find the approximate side length of a square game board with an area of 145 in 2 Plz help!
Answer:
Side length ≈ 12.04
Step-by-step explanation:
145 = x²
144 is the closest square, with the root 12
The square root of 145 is approximately 12.04
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
The approximate side length is 12.0 in
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
145 = s^2
Taking the square root of each side
sqrt(145) = sqrt(s^2)
12.04159458 = s
The approximate side length is 12.0 in
Express 12 000 iin standard form?
Answer:
the answer will be
1.2x10⁴
hope it helps
Answer:
We have been provided the number, 3430000. Therefore, the standard form is, 3430000=3.43×106, here, we have moved 6 places to the left. Hence, the standard form of 3430000 is 3.43×106. Note: It is important to note that the standard form of representing numbers is also called scientific form or standard index form.
Help!!!! Please!! Thanks
never saw an indian guy asking for help in so simple question
Step-by-step explanation:
ans of 3rd given statement is true, conclusion, mb=nb
ans of 4th given statement is true, conclusion alt int angles of paralel lines are equal
please helpp!!!!!!!!
Step-by-step explanation:
the answer is in picture
Can someone help me on this
Answer:
The choose (C)
F(x)=x/ (x+1)(x-2)
About how many cells are in the human body?
You can assume that a cell is a sphere with radius 10-3 cm and that the density of a cell is approximately the density of water which is 1g/cm3.
Answer:
In other words: The human body consists of some 37.2 trillion cells.
Step-by-step explanation:
can somebody explain how they got 37.2 trillion cells.!!!
please helpppp
sin^6x + cos^6x = 1/4
Answer:
[tex]\displaystyle x = \frac{\pi}{4} + k\, \pi[/tex] for integer [tex]k[/tex] (including negative numbers.)
Step-by-step explanation:
Pythagorean Identity: [tex]\sin^{2}(x) + \cos^{2}(x) = 1[/tex]. Equivalently, [tex]\cos^{2}(x) = 1 - \sin^{2}(x)[/tex].
Rewrite the original equation and apply this substitution to eliminate [tex]\cos(x)[/tex]:
[tex]\displaystyle \sin^{6}(x) + \cos^{6}(x) = \frac{1}{4}[/tex].
[tex]\displaystyle (\sin^{2}(x))^{3} + (\cos^{2}(x))^{3} = \frac{1}{4}[/tex].
[tex]\displaystyle (\sin^{2}(x))^{3} + (1 - \sin^{2}(x))^{3} = \frac{1}{4}[/tex].
Let [tex]y = \sin(x)[/tex] ([tex]-1 \le y \le 1[/tex].) The original equation is equivalent to the following equation about [tex]y[/tex]:
[tex]\displaystyle y^{6} + (1 - y^{2})^{3} = \frac{1}{4}[/tex].
Expand the cubic binomial in the equation:
[tex]\displaystyle y^{6} + 1 - 3\, y^{2} + 3\, (y^{2})^{2} - (y^{2})^{3} = \frac{1}{4}[/tex].
[tex]\displaystyle y^{6} + 1 - 3\, y^{2} + 3\, y^{4} - y^{6} = \frac{1}{4}[/tex].
Simplify to obtain:
[tex]\displaystyle 1 - 3\, y^{2} + 3\, y^{4} = \frac{1}{4}[/tex].
Rearrange and simplify:
[tex]12\, y^{4} - 12\, y^{2} + 3 = 0[/tex].
[tex]3\, (2\, y^{2} - 1)^{2} = 0[/tex].
[tex]2\, y^{2} - 1 = 0[/tex].
[tex]\displaystyle y^{2} - \frac{1}{2} = 0[/tex].
Solve for [tex]y[/tex]:
Either [tex]\displaystyle y = \frac{1}{\sqrt{2}}[/tex] or [tex]\displaystyle y = -\frac{1}{\sqrt{2}}[/tex].
If [tex]\displaystyle \sin(x) = y = \frac{1}{\sqrt{2}}[/tex], then [tex]\displaystyle x = \frac{\pi}{4} + 2\, k\,\pi[/tex] for all [tex]k\in \mathbb{Z}[/tex].
On the other hand, if [tex]\displaystyle \sin(x) = y = \frac{1}{\sqrt{2}}[/tex], then [tex]\displaystyle x = \frac{3\, \pi}{4} + 2\, k\,\pi = \frac{\pi}{4} + (2\, k + 1) \, \pi[/tex] for all [tex]k\in \mathbb{Z}[/tex].
Combine both situations to obtain:
[tex]\displaystyle x = \frac{\pi}{4} + 2\, k\, \pi[/tex] for all [tex]k \in \mathbb{Z}[/tex].
i am having troubles solving this 4(x+3)=x+42 can i get some help please.
Answer:
x=10
Step-by-step explanation:
Step 1: Multiply 4 with X and 3. You'll get 4x+12=x+42
Step 2: Keep the variable on one side and the number on the other side. you would subtract X and subtract 12. You'll get 3x=30
Step 3: Divide by the 3 on both sides and you'll get x=10
Given:
[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ [/tex]
Solution:
[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ \\ \\ \tt⇢ 4x + 12 = x + 42 \: \: \\ \\ \\ \tt \: ⇢4x - x = 42 - 12 \: \\ \\ \\ \tt \: ⇢3x = 30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: ⇢x = \frac{30}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: \pink{ \pmb{ \mathfrak{⇢x = 10}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ [/tex]
Verification:
[tex] \\ ⇢ \tt \: 4(10+ 3) = 10+ 42 \\ \\ \\ \tt⇢ 40 + 12 = 10 + 42 \: \: \\ \\ \\ \tt \: ⇢52 = 52 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \: ⇢ \purple{ \pmb{ \bold{L.H.S = R.H.S}}}\\ \\ \\ [/tex]
Hence Verified!