Answer:
x = 12
Step-by-step explanation:
The sum of angles in a triangle is 180°
Thus,
(x + 20) + (10x) + (x + 16) = 180°
Collect like terms
x + 10x + x + 20 + 16 = 180°
12x + 36 = 180°
12x = 180 - 36
12x = 144
Divide both sides by 12
x = 144 ÷ 12
x = 12
Substitute the value of x into the question
Therefore,
x + 20 = 12 + 20
= 32°
10x = 10(12)
= 120°
x + 16 = 12 + 16
= 28°
help me out please, thank you
Answer:
Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinitely.
Step-by-step explanation:
Have a good day everybody.......
thank you, you too! :D
I NEED HELP WITH 2 QUESTIONSS
1.What is the mean change in the forecasted low temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the low temperatures. If your answer is not an integer, explain what two integers your answer is between.
LOW TEMPTURES:
WEDNESDAY-79
THURSDAY- 79
FRIDAY- 73
SATURDAY- 73
SUNDAY - 73
MONDAY- 73
TUESDAY- 75
2. What is the mean change in the forecasted high temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.
WEDNESDAY- 88
THURSDAY- 87
FRIDAY- 90
SATURDAY- 90
SUNDAY- 86
MONDAY- 88
TUESDAY-86
PLEASE ANSWER FAST!!!
Does anyone know what graph is correct?
First graph is the correct one.
when x= 1
y=f(x) = -√1 = -1
when x= 2
y= -√2
Need help on this question asap please
Answer:
8 m
-----------------Work--------------
2*3 = 6
Ratio
2*4 = 8
log_(5)(x-4)=1-log_(5)(x-8)
Answer:
x = 3, x = 9
Step-by-step explanation:
When solving this problem, keep the general format of a logarithm in mind:
[tex]b^x=y\\log_b(y)=x[/tex]
Where, (b) represents the base, (x) is the exponent, and (y) is the evalutaor. Please note that others might use slightly different terminotoly than what is used in this answer.
One is given the following expression, and is asked to solve for the parameter (x);
[tex]log_5(x-4)=1-log_5(x-8)[/tex]
First, manipulate the exquestion such that all of the logarithmic expressions are on one side. Use inverse operations to do this.
[tex](log_5(x-4))+(log_5(x-8))=1[/tex]
Now use the Logarithmic Base Change rule to simplify. The Logarithmic Base Change rule states the following;
[tex]log_b(x)=\frac{log(x)}{log(b)}[/tex]
Remember, if no base is indicated in a logarithm, then the logarithm's base is (10). Apply the Logarithmic Base Change rule to this problem;
[tex]\frac{log(x-4)}{log(5)}+\frac{log(x-8)}{log(5)}=1[/tex]
Now remove the denominator. Multiply all terms in the equation by the least common denominator; ([tex]log(5)[/tex]) to remove it from the denominator on the left side.
[tex](\frac{log(x-4)}{log(5)}+\frac{log(x-8)}{log(5)}=1)*(log(5))[/tex]
[tex]log(x-4)+log(x-8)=log(5)[/tex]
All logarithms have the same base, the left side of the equation has the addition of logarithms. This means that one can apply the Logarithm product rule. The logarithm product rules the following;
[tex]log_b(x*y)=(log_b(x))+(log_b(y))[/tex]
This rule can be applied in reverse to simplify the left side of the equation. Rather than rewriting the product of logarithms as two separate logarithms being added, one can rewrite it as one logarithm getting multiplied.
[tex]log(x-4)+log(x-8)=log(5)[/tex]
[tex]log((x-4)(x-8))=log(5)[/tex]
Now used inverse operations to bring all of the terms onto one side of the equation:
[tex]log((x-4)(x-8))=log(5)[/tex]
[tex]log((x-4)(x-8))-log(5)=0[/tex]
Similar to the Logarithm product rule, the Logarithm quotient rule states the following;
[tex]log_b(x/y)=(log_b(x))-(log_b(y))[/tex]
One can apply this rule in reverse here to simplify the logarithms on the left side:
[tex]log((x-4)(x-8))-log(5)=0[/tex]
[tex]log(\frac{(x-4)(x-8)}{5})=0[/tex]
The final step in solving this equation is to use the Logarithm of (1) property. This property states the following:
[tex]log_b(1)=0[/tex]
When applying this property here, one can conclude that the evaluator must be equal to (1), therefore, the following statements can be made.
[tex]log(\frac{(x-4)(x-8)}{5})=0[/tex]
[tex]\frac{(x-4)(x-8)}{5}=1[/tex]
Inverse operations,
[tex]\frac{(x-4)(x-8)}{5}=1[/tex]
[tex](x-4)(x-8)=5[/tex]
[tex](x-4)(x-8)-5=0[/tex]
Simplify,
[tex](x-4)(x-8)-5=0[/tex]
[tex]x^2-12x+32-5=0[/tex]
[tex]x^2-12x+27=0[/tex]
Factor, rewrite the quadratic expression as the product of two linear expressions, such that when the linear expressions are multiplied, the result is the quadratic expression:
[tex]x^2-12x+27=0[/tex]
[tex](x-3)(x-9)=0[/tex]
Now use the zero product property to solve. The zero product property states that any number times (0) equals (0).
[tex]x=3,x=9[/tex]
Hello,
I suppose the question is solve for x.
[tex]\displaystyle log_5\ (a)=\dfrac{ln (a)}{ln (5)} \\\\log_5(x-4)=1-log_5(x-8)\\\\\dfrac{ln(x-4)}{ln(5)} =1- \dfrac{ln(x-8)}{ln(5)}\\\\ln(x-4)=ln(5)-ln(x-8)\\\\ln(x-4)+ln(x+8)=ln(5)\\\\ln((x-4)*(x-8))=ln(5)\\\\(x-4)*(x-8)=5\\\\x^2-12x+27=0\\\\\Delta=12^2-4*27=36=6^2\\\\x=9\ or\ x=3\\\\Sol=\{3,9\}\\[/tex]
For Moderators,
this is a mathematical resolution without any bla-bla sentences that you will easily find. (I can not do it sorry)
5x+1=2x-5
I need help
Answer:
x =-2
Step-by-step explanation:
5x+1=2x-5
Subtract 2x from each side
5x-2x+1=2x-2x-5
3x+1 = -5
Subtract 1 from each side
3x+1-1 = -5-1
3x=-6
Divide by 3
3x/3 = -6/3
x = -2
plz help ASAP with explanation
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
solve for x. round to the nearest tenth,if neccessary.
Answer:
94.8
Step-by-step explanation:
sin 45 = 67/x
x = 67/sin 45
x = 94.8
By rounding to 1 significant figure, estimate
7.57X3.81
Answer:
29
Step-by-step explanation:
7.57×3.81
round up to one decimal point=7.5×3.8
7.5×3.8 = 28.5
28.8 rounded up to 29
Pedro preparou 4kg de salada de frutas, que serviu igualmente entre 16 convidados. Quantos kg de salada de frutas cada convidado recebeu?
Answer: The amount of salat received by each guest is 0.25 kg
Step-by-step explanation:
We are given:
Mass of the fruit salad prepared = 4 kg
Total number of guests = 16
As the salad was divided equally amongst the guest, so when we divide the mass by the number of guests, we will get the amount of salad received by each guest.
Amount received by each guest = [tex]\frac{4kg}{6}=0.25kg[/tex]
Hence, the amount of salat received by each guest is 0.25 kg
PLEASE I NEED HELP WITH THIS ONE
Answer:
H
Step-by-step explanation:
When h=0,t=45.
so we can exclude F.
When h=10,t=15.
only H satisfiy the condition.
Answer:
H
The line shows an inverse proportionality between temperature and time:
[tex]{ \tt{t \: \alpha \: \frac{1}{h} }} \\ \\ { \tt{t = \frac{k}{h} }}[/tex]
Slope or change:
[tex] = \frac{45 - 30}{0 - 5} \\ = - 3[/tex]
y-intercept:
[tex]c = 45[/tex]
General equation:
[tex]y = - 3x + 45[/tex]
If f(x) = 2x + 1 and g(x) = x2 + 5,
what is g(f(2))?
Answer:
30 if that is an [tex]x^{2}[/tex] in g(x)
Step-by-step explanation:
f(2) = 2x + 1
= 2(2) + 1
= 4 + 1
f(2) = 5
g(5) = [tex]x^{2}[/tex] + 5
= [tex]5^{2}[/tex] + 5
= 25 + 5
g(5) = 30
Answer: 30
Step-by-step explanation:
First find f(2)
f(2) = 2(2) + 1 = 4 + 1 = 5
Therefore g(f(2)) = g(5)
Now solve for g(5)
g(5) = (5)² + 5 = 25 + 5 = 30
PLS HELP ASAP HOW DOES THIS= THIS
f(x)=2x^3-9x^2+11x-20....
look at photo.
true or false
Answer:
false
Step-by-step explanation:
PLS HELP ASAP, I need it in 10 mins. I GIVE 15 PTS !!!! if v1 = (3,-4) and v2 = (2,6) then v1*v2 is equal to which of the following?
A. 30
B. (-12, -24)
C. (6,-24)
D. -18
v₁·v₂ is -18 which is correct option(D)
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculations
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given that,
v1 = (3,-4) and v2 = (2,6)
To determine v₁·v₂
v₁·v₂ = 3·(2) - 4·(6)
v₁·v₂ = 6 - 24
v₁·v₂ = -18
Hence, the v₁·v₂ is -18.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Find the value of x such that the data set has the given mean.
102, 120, 106, 111, 108, x; mean 101
therefore, x = 59
Step-by-step explanation:
Here,
Mean (m) = 101
No. of terms (n) = 6
submission x (total) = 102+120+106+111+108+x
= 547 + x
Now, We know;
m = total / n
101 = 547 + x / 6
101 × 6 = 547 + x
606 - 54u = x
Hence , x = 59.
Water has a density of 1.0 g/mL and ocean water has a density of 1.025 g/mL.
Why are they different?
Answer:
0.025g/ml
Step-by-step explanation:
Given data
Density of water =1.0 g/mL
Density of oil =1.025 g/mL.
The difference in the density is
1.025 g/mL-1.0 g/mL
=0.025g/ml
This is because oil is more dense than water
Find the length of x
Answer:
x = 3
Step-by-step explanation:
Hi there!
1) Prove similarity
The two triangles are similar due to angle-angle similarity. They both have an angle measured 90 degrees and the angles of the two corners that touch are equal, because opposite angles are equal.
2) Solve for x
Now, we can set up a proportion to solve for x:
[tex]\frac{x}{4} =\frac{4.5}{6} \\x=\frac{4.5}{6} *4\\x=3[/tex]
Therefore, x is 3 units long.
I hope this helps!
What is the volume of the prism?
A rectangular prism with cubic units arranged in two rows of two with six total layers. Each cubic unit is one cubic meter.
14 m3
24 m3
30 m3
44 m3
Answer:
24 m³
Step-by-step explanation:
We need to find the volume of the prism. Given that , rectangular prism with cubic units arranged in two rows of two with six total layers . And the volume of each unit is 1 m³ .
Volume of one unit :-
[tex]\rm\implies Volume_{one\ unit } = 1m^3 [/tex]
By Unitary Method :-
Volume of two cubes , will be :-
[tex]\rm\implies Volume_{two\ unit } = 2m^3 [/tex]
Volume of one layer :-
[tex]\rm\implies Volume_{one\ layer } = 4m^3 [/tex]
Volume of six layers :-
[tex]\rm\implies Volume_{6\ layers } = 4m^3\times 6 \\\\\rm\implies \boxed{\rm Volume_{6\ layers } = 24 \ m^3} [/tex]
1. What is the difference between the arithmetic mean and geometric mean between 3 and 27 is
a) 15 b) 6 c) 12 d) o
Answer:
So I did my work so many times and I got 9 but I don't know Imaooo sry :)
Step-by-step explanation:
Which of the following is most likely the next step in the series?
А.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The answer is D because the pattern adds one angle every one shape. Ex. Triangle, Rectangle, Pentagon, Hexagon
Help me please!!! Thanks
Answer:
Cylinder H has the greater volume.
Step-by-step explanation:
Recall that the volume of a cylinder is given by:
[tex]\displaystyle V=\pi r^2h[/tex]
Where r is the radius and h is the height.
Cylinder H has a radius of 4.5 meters and a height of 3 meters. Thus, its volume is:
[tex]\displaystyle \begin{aligned} V&=\pi(4.5)^2(3)\\&=60.75\pi \\&\approx190.8518\text{ m}^3\end{aligned}[/tex]
Cylinder J has a diameter of 7 meters and a height of 4.5 meters. The radius is half the diameter, so Cylinder J's radius is 3.5 meters. Thus, its volume is:
[tex]\displaystyle \begin{aligned}V&=\pi(3.5)^2(4.5)\\&=55.125\pi \\&\approx 173.1803\text{ m}^3\end{aligned}[/tex]
Thus, Cylinder H has the greater volume.
For which value of 0 is 0=-1 ?
Answer:
[tex]theta = \frac{3}{2} \pi + 2k\pi[/tex]
Step-by-step explanation:
+2*k*pi is for the periodicity (if you turn 360° you get back to the same point)
Instructions: Problem 2 ! Find the missing angle in the image below. Do not include spaces in your answers
Step-by-step explanation:
since angles in a triangle add up to 180
<vuw=180-(71+23)
=86°
since angles in a straight line add up to 180
<vuf=180-86
=94
Guys I need help!!!
Is (1, 4) a solution to the equation y = 8x − 4?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)FunctionsStep-by-step explanation:
Step 1: Define
Identify
Point (1, 4)
y = 8x - 4
Step 2: Find
Substitute in point [Equation]: 4 = 8(1) - 4Multiply: 4 = 8 - 4Subtract: 4 = 4yes.
you just have to check like this: 1 is x and 4 is y.
4 = 8(1) - 4
4 = 8 - 4
4 = 4
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
2x^2 - 4x + 5 x = -3
4x+7=15x-1-3x
Solve for x plss
Answer: x=1
Step-by-step explanation:
4x-12x=-1-7
-8x=-8
Use the graph to estimate the solutions to 4 log2 (2x) = x + 4. Select all that apply.
Given:
The equation is:
[tex]4\log_2(2x)=x+4[/tex]
The graph of the [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are given on a coordinate plane.
To find:
The solution of the given equation from the given graph.
Solution:
From the given graph it is clear that the graphs of [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] intersect each other at points (1.24,5.24) and (16,20).
It means the values of both functions [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are equal at [tex]x=1.24[/tex] and [tex]x=16[/tex].
So, the solutions of given equation are [tex]x=1.24[/tex] and [tex]x=16[/tex].
Therefore, the correct option is only F.
How do I solve for X HELP
Answer:
x = 4 degrees
Step-by-step explanation:
The two angles have the same measurement. They are opposite angles.
26x + 7 = 31x - 13
Group like terms:
26x - 31x = -13 - 7
-5x = -20
x = 4
Check if you want to make sure.
Step-by-step explanation:
[tex]here \: is \: your \: solution : - \\ \\ both \: angles \: are \: equal \: (vertical \: anges) \\ \\ 26x + 7 = 31x - 13 \\ \\ solving \: the \: equation \: \\ \\ 26x - 31x = - 13 - 7 \\ \\ - 5x = 20 \\ \\ x = -20 \div 5 \\ \\ x = \: 4 \: degrees \: \: \: \:(Answer ✓✓✓( \\ \\ \huge\mathcal\blue{happy \: life (. ❛ ᴗ ❛.) }[/tex]
The diagram shows a rectangle. If the perimeter of the rectangle is 66 cm, what is the area of the rectangle?
Answer:
Step-by-step explanation:
Perimeter of the rectangle = P
Base = b
Height = h
Area = A
P = 2b + 2h
P = 66
STEP 1:
2(2x + 1) + 2(x + 5) = 66
Distribute
4x + 2 + 2x + 10 = 66
STEP 2:
Combine like terms and isolate the variable
6x + 12 = 66
6x = 54
x = 9
STEP 3:
Plug in x
A = (2(9) + 1) * (9 + 5)
STEP 4:
Simplify
A = (18 + 1) * (14)
A = (19)(14)
A = 266
[tex]\displaystyle\bf P=2(2x+1+x+5)=66\\\\6x+12=66\\\\6x=54\\\\\boxed{x=9}\\\\2x+1=19\\\\x+5=14 \\\\S=ab=14\cdot19=266 cm^2[/tex]