[tex] \begin{cases}\large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: 2 \: g \: - \: 23 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: - 21 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \:g \: + \: 21 \: g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 74 \:g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \:g \: = \: \cancel\frac{2}{74} \\ \\ \large\bf{\red{ \implies}} \tt \: g \: = \: \frac{1}{37} \end{cases}[/tex]
The value of g from the given equation is 1/37.
The given equation is 53g=2g-23g+2.
We need to solve the given equation for g.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, 53g=2g-23g+2 can be solved for g as follows:
That is, 53g=-21g+2
⇒53g+21g=2
⇒74g=2
⇒g=2/74=1/37
Therefore, the value of g from the given equation is 1/37.
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Choose the inequality that represents the following graph.
H 4
+
-4
+
2.
+
4
-5
-3
-2
-1
0
1
3
5
Choose 1 answer:
2 <-3
3 <-3
С
> -3
D
a 2-3
Answer:
B
Step-by-step explanation:
The solid circle at - 3 indicates that x can be equal to - 3
The arrow pointing left indicates the values of x are less than - 3
Then
x ≤ - 3 → B
All of the following ratios are equivalent except
4
8 to 12
2:3
09
Answer:
The answer is 2:3 as the order is different. Simplified the first option is 2:3, the second one: 2:3, the third one 3:2 and the fourth one 2:3
What is the solution set to this equation?
log4 (x + 3) + log4x =1
A. x=0
B. x=1
C. x=1 and x= -4
D. x=-3 and x=0
Answer:
B
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log (xy)
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]
Given
[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then
[tex]log_{4}[/tex] x(x + 3) = 1
x(x + 3) = [tex]4^{1}[/tex] = 4
x² + 3x = 4 ( subtract 4 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
However, x > 0 , thus x = 1
AC = 3x-1 and AD = 12-x
X=
CD =
Answer:
54+456/79*78=5689
Step-by-step explanation:
maaf kalo salah
[tex]45 \times 456[/tex]
the Selling price of an articles is Rs 6000 and 13% of vATis lived on it How much did the costumer pay for it.
Answer:
Rs.6780
Step-by-step explanation:
VAT=6000*13/100
=Rs.780
Price=6000+780
=6780
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease
Answer: 14-degree decrease
Step-by-step explanation:
because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.
Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius
Can someone please helpp
Answer:
semoga jawapan ini dapat membantu
how many sides has a cuboid
Answer:
[tex]6faces \\ thank \: you[/tex]
Harry is painting a wall in his house that is 20 by 18 feet. He has two windows that he does not want to paint. What is the total area he will need to paint?
340
200
289.73
Step-by-step explanation:
total area is 18 × 20 = 360
but by excluding window it will be less than 360
here U have not given lenght of windows so i can not find answer
PLEASE HELP!!!
Ken Runfast is the star of the cross-country team. During a recent morning run, Ken averaged a speed of 5.8 m/s for 12.9 minutes. Ken then averaged a speed of 6.10 m/s for 7.1 minutes. Determine the total distance which Ken ran during his 20 minute jog.
Answer:
7087.8m or 7.09km
Step-by-step explanation:
formula used:
distance = speed * time
total distance = distance1 + distance2
let d1 be distance1, d2 be distance2, s1 be speed1, s2 be speed2, t1 be time1, and t2 e time2:
s1 = 5.8m/s, t1 = 12.9 min or 774 sec, s2 = 6.10m/s, t1 = 7.1 min or 426 second
d1 = s1 * t1
= 5.8 m/s * 774 s
= 4489.2 m
d2 = s2 * t2
= 6.10 m/s * 426 s
= 2598.6 m
total distance = d1 + d2
= 4489.2m + 2598.6m
= 7087.8 meter or 7.09 kilometer
Someone help please.
N = 4.2m
Sorry for my bad writing but this is the explanation and answer.
Does anyone know the answer 1 through 4?If not you can solve whatever you can.Please help me I’m so tired
Answer:
1. x minus twenty
2. five n plus two
3. a raised to the third power / a cubed
4. n raised to the fourth power then minus one
Step-by-step explanation:
Ight I got u. Im a AP calc bc student so trust xd
1. Choose the word that is defined as: Symbols used to represent
unspecified numbers.
Factor
Term
Variable
Power
O Algebraic Expression
Answer:
I think the first one is the best answer but you might be expected to say variable. I cannot choose one answer. It all depends what you have been told or what your teacher has said about it.
Myself, I would pick A.
Step-by-step explanation:
Symbols (like letters) that are used to represent numbers which are unspecified.
The problem is that variable is also a possible answer. The problem is that a variable is usually a letter. Symbols do are not used for variables in anything but counting systems.
When you look up the word variable it is defined as a symbol. But that is too confining.
The variable y is dependent on the variable 2. The following table represents points on the function f(s) which
represents the two variables.
y
-8-4
-4-2
0 0
4 2
8 4
2 4
Which of the following equations represents the function f(x)?
O f() =
Of(0) = -22
O f() =
O f() = 2x
search
o fim
a
f w bi
3. Based on the graph of the trigonometric function,
what is the period?
4. Based on the graph of the trigonometric function,
what is the amplitude?
Answer:
4. ☐ A [tex]\displaystyle \frac{1}{3}[/tex]
☐ B [tex]\displaystyle 2[/tex]
☑ C [tex]\displaystyle 3[/tex]
3. ☐ A [tex]\displaystyle \frac{\pi}{3}[/tex]
☐ B [tex]\displaystyle \pi[/tex]
☑ C [tex]\displaystyle 6\pi[/tex]
Step-by-step explanation:
[tex]\displaystyle y = -2sin\:(\frac{1}{3}x + \frac{\pi}{2}) \\ y = -2cos\:\frac{1}{3}x[/tex]
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1\frac{1}{2}\pi} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\pi} \hookrightarrow \frac{2}{\frac{1}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\pi} \hookrightarrow \frac{2}{\frac{1}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]
The above information can help you interpret the graph much better. First off, JUST IN CASE you needed to know the trigonometric equation(s) of this graph, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = -2sin\:\frac{1}{3}x,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle 1\frac{1}{2}\pi\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle 1\frac{1}{2}\pi\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-1\frac{1}{2}\pi} = \frac{-\frac{\pi}{2}}{\frac{1}{3}}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -2sin\:(\frac{1}{3}x + \frac{\pi}{2}).[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, -2],[/tex] from there to [tex]\displaystyle [-6\pi, -2],[/tex] they are obviously [tex]\displaystyle 6\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 6\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex] in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow. Now, in this case, you were probably wondering why the negative was inserted in front of the amplitude in the equation(s). Well, here is why:
[tex]\displaystyle y = sin\:x \\ y = cos\:x[/tex]
Knowing your parent functions, sine commenses upright from the origin, while cosine commenses one unit above the origin [tex]\displaystyle [0, 1].[/tex] This should tell you that inserting a negative in front of the amplitude will REFLECT each crest over the midline. Well, there you have it.
I am delighted to assist you at any time.
If a1=1. And r=1/5 find a8
Answer:
a₈ = [tex]\frac{1}{78125}[/tex]
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
Here a₁ = 1 and r = [tex]\frac{1}{5}[/tex] , then
a₈ = 1 × [tex](\frac{1}{5}) ^{7}[/tex] = 1 × [tex]\frac{1}{78125}[/tex] = [tex]\frac{1}{78125}[/tex]
What is greater 8 + the square root of 50 or 5 + the square root of 65
Answer:
8+the square root of 50 is greater.
Step-by-step explanation:
find the solutions of the following equation. b^2 = 16/121 choose all answers that apply:
a. b= 2/7
b. b= - 2/7
c. b= 4/11
d. b= -4/11
e. none of the above
tysm <3
Answer:
c. b= 4/11
d. b= -4/11
Step-by-step explanation:
b^2 = 16/121
Take the square root of each side
sqrt(b^2) =± sqrt(16/121)
b = ±4/11
b² = -16/121
16 is 4² and 121 is 11²
b² = -4²/11²
b² = -(4/11)²
When exponents are common they are eliminated. Here, 2 is common
b = ±4/11
Hence, the answer is ±4/11OPTION c and d IS CORRECT
F(x)=5x-2 & g(x) =1-2x find f/g(c)
Answer these 2 questions please
9514 1404 393
Answer:
(a) 9x -10x^2 -2(c) 25Step-by-step explanation:
1) (fg)(x) = f(x)·g(x) = (5x -2)·(1 -2x)
= (5x)(1) -(2)(1) +(5x)(-2x) +(-2)(-2x)
= 5x -2 -10x^2 +4x
= 9x -10x^2 -2 . . . . matches A
__
2) (f+g)(-2) = f(-2) +g(-2) = (-5(-2) +1) +(-6(-2) +2)
= 10+1 +12 +2 = 25 . . . . matches C
The pie chart represents the results of an online poll question, Should cell phones be banned in schools?. A total of 1840 girls were asked the question, with 379 answering yes and 1461 girls answering no. The larger section of the pie is labeled as no, representing the count of 1461 girls who answered as no and the smaller section is labeled as yes, representing the count of 379 girls who answered as yes. What percent of girls who voted in this poll think that cell phones should be banned from schools? Give your answer as a whole number.
Which expression has a value of 3?
A 18 - 4 x 3 - 2
B 1 + 1 X 2
C 6 - 2 x 2
D. 7 + 4 ÷ 4
Answer:
option(B)
Step-by-step explanation:
1 + 1 × 2
using BODMAS, Multiplication comes first then Addition
=> 1 + (1 × 2)
=> 1 + 2
=> 3
3.7 as a mixed fraction
let x =
10x =
9x =
x =
So 3.7 repeating is equal to...
Answer:
37/9Step-by-step explanation:
we have3.77777... :- is a repeating decimalLetx = 3.7...so10x =37.7...10x - x = 37.7... -3.7...9x=34x= 34/9convert to mixed number34/9=(27/9)+(7/9)=3+(7/9) =37/9 I hope this may help you.1
Write down the temperature that is 7 °C below -3°C.
ES
Answer:
-10 [tex]^\circ C[/tex]
Step-by-step explanation:
Subtract 7 from -3. -3 - 7 = 0=-10
The temperature that is 7°C below -3°C is equal to -10°C.
To find the temperature that is 7°C below -3°C, we need to subtract 7 from -3. When subtracting a positive number from a negative number, the result becomes more negative.
Starting with -3°C, we subtract 7°C:
-3°C - 7°C = -10°C
A negative temperature indicates a temperature below zero on the Celsius scale. In this case, -10°C means that the temperature is 10 degrees below freezing point.
The Celsius scale is based on the freezing and boiling points of water, with 0°C representing the freezing point and 100°C representing the boiling point at standard atmospheric pressure.
Since we are subtracting 7°C, we are moving further below the freezing point. So, -10°C indicates a colder temperature than -3°C.
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Complete question is:
Write down the temperature that is 7 °C below -3°C?
1/3x+3/2=2x. solve for x
first correct answer gets brainliest
3,
8.
If TU = 23 and TV = 5x + 6, then x = ?
23
U
Sxt6
10.
If PQ = 6x - 1 and PR = 15x - 29,
then QR = ?
P
Q
R
Problem 1
Answer: x = 8----------------------------------
Explanation:
The tickmarks say that TU and UV are the same length. Both are 23 units each. They combine to TU+UV = 23+23 = 46, which is the length of TV
TV = 5x+6
TV = 46
5x+6 = 46
5x = 46-6
5x = 40
x = 40/5
x = 8
===========================================================
Problem 2
Answer: QR = 53----------------------------------
Explanation:
We use the same idea as the previous problem.
PQ = 6x-1 is the same length as QR
PQ+QR = (6x-1)+(6x-1) = 12x-2 = PR
Since PR = 15x-29, we can then say,
PR = 12x-2
15x-29 = 12x-2
15x-12x = -2+29
3x = 27
x = 27/3
x = 9
From there,
PQ = 6x-1 = 6(9)-1 = 53QR = 53 since PQ and QR are the same lengthPQ+QR = 53+53 = 106PR = 15x-29 = 15(9)-29 = 135-29 = 106This shows that PQ+QR = PR is true and it helps confirm the answer.
5^-3 = In exponential notation
Answer:
0.008 or 1/125
Step-by-step explanation:
Answer:
[tex]5^{-3}[/tex] in scientific notation would be [tex]8*10^{-3}[/tex].
Step-by-step explanation:
An integer to the power of a negative number is equivalent to one over that base to the power of the positive exponent. In this case, [tex]5^{-3}[/tex] would be [tex]\frac{1}{5^{3}}[/tex] or [tex]\frac{1}{125}[/tex], which equals 0.008. Scientific notation is a way to express a number in the form of [tex]a * 10^{b}[/tex] where [tex]a[/tex] is greater than or equal to 1 but less than 10. We know that 8 would be the value of [tex]a[/tex], so all you need to know is the value of [tex]b[/tex]. Because [tex]10^{-3}[/tex] is equivalent to 0.001, and multiplied by 8 is equivalent to 0.008, that means [tex]5^{-3}[/tex] in scientific notation would be [tex]8*10^{-3}[/tex].
Name a number that is an integer, but not whole number.
Answer:
-1
Step-by-step explanation:
All negative integers are not whole numbers
which graph represents the solution set of the compound inequality
Step-by-step explanation:
take into 2 sections
-5<a-4 and a-4<2
-1<a and a<6
therefore it should be the 2nd one
ILL MARK BRAINIEST IF U DO THIS RIGHT!!!
Answer:
Company C
Step-by-step explanation:
$60+4($20)=$140, lowest total price
- j/18=-8 what is j?
Answer:
j = 144
Step-by-step explanation:
-j / 18 = -8
[multiply both sides by 18 to cancel out the denominator of 18