5 + 2p is at least 11.
Subtract 5 from both sides.
2p is at least 11.
p > 5
If a triangle is an equilateral triangle, then the triangle has exactly three 60°
angles. △ABC is an equilateral triangle?
Step-by-step explanation:
In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.
We know that the sum of angles of a triangle is equal to 180 degrees. It means that,
x+x+x=180
3x=180
x=60°
Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle
Describe and correct the error a student made when starting to solve the equation 8 ^ (x + 3) = 2 ^ (2x - 5) 8 ^ (x + 3) = 2 ^ (2x - 5) (2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5) 2 ^ (3x + 3) = 2 ^ (2x - 5) Choose the correct answer below A. The student should have divided both sides by 2 ^ 2 to simplify the expression B. The student did not convert 8 to the correct power of 2 C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3 D.The student should have expressed the initial rational exponent as the sum of two rational exponents ..
Answer:
C. is the correct option
C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3
and x = - 14
Step-by-step explanation:
8 ^ (x + 3) = 2 ^ (2x - 5)
Here is how the student solved the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
2 ^ (3x + 3) = 2 ^ (2x - 5) ----- This is where the student made the error.
The student did not distribute 3 in * (2 ^ 3) ^ (x + 3).
This is how to solve the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
Then, we will 3 distribute in (2 ^ 3) ^ (x + 3), so that we get
2 ^ (3x +9) = 2 ^ (2x -5)
Since the bases on both sides of the equation are equal, we can equate the powers so that we get
(3x +9) = (2x -5)
Then we will collect like terms
3x - 2x = -5 -9
∴ x = -14
This solution could be better written in this format
[tex]8^{x+3} = 2^{2x-5} \\2^{3} ^{(x+3)} = 2^{2x-5}\\2^{(3x+9)} = 2^{2x-5}\\{(3x+9)} = {2x-5} \\3x-2x= -5-9\\x = -14[/tex]
4(x - 1) =2(x + 2)
10. 8
Answer:
9.4
Step-by-step explanation:
I need help please 4x-6y=36 how to show my work please help it would mean a lot :)
Answer:
Solving for x:
[tex]x = \frac{3}{2} y + 9[/tex]
Solving for y:
[tex]y = \frac{2}{3} x - 6[/tex]
Step-by-step explanation:
Please see the attached picture for full solution.
tan x = -0.25 for 0< x < 720
Answer:
Below in bold.
Step-by-step explanation:
The smallest angle for which -0.25 is the tangent is in the second quadrant and is 165.96 degrees. The other angle in the fourth quadrant is 345.96 degrees.
So for the range 0 to 720, x = 165.96, 345.96 and 360 + 165.96 = 525.96 and 345.96+360 = 705.96 degrees.
I need help with this Algebra
Answer:
Step-by-step explanation:
f(-3) = 3(-3)^3 + 5 = 3(-27) + 5 = -81 + 5 = -76
g(4) = -4(4) - 1 = -16 - 1 = -17
A farmer applies different fertilizer to his wheat crops to see which will make his plants grow the highest.
What is the independent variable?
Answer:
highest )hope this helps :)
Step-by-step explanation:
Answer:
The crop
Step-by-step explanation:
As the type of fertilizer changes it can not be the independent variable. Since nothing else (except the farmer) is referenced we can deduct that the crop is the independent variable.
Translate the following verbal expression into an algebraic expression ... "The quotient of a number and four decreased by five"
Answer:
n/(4-5)
Step-by-step explanation:
A quotient of a number and... means that the number is being divided by whatever comes after. In this case the number that comes after is '4 decreased by 5', which is 4 - 5 as the -5 takes 5 away so it 'decreases it by 5'. Therefore is the expression is 'the quotient of a number and four decreased by five' then it is expressed in the following way (using n for number):
n/(4-5)
Hope this helped!
Isaac wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 A pound, and a loaf of bread is $2.00. he has $8.00 to spend. How many pounds of tomatoes can he buy? Write the equality to solve the problem let X be the number of pounds of tomatoes.
Answer:
5 pounds of tomatoes
Step-by-step explanation:
5 pounds of tomatoes
8-2=6
6/1.20=5
a recipe for one pumpkin pie calls for 1 1/4 cups of sugar Elena only has 1/2 cup of sugar and she needs to make for pumpkin pies how many more cups of sugar does Elena need to make All 4 pies?
Answer: she would need four and a half cups more of sugar.
Step-by-step explanation:
You have to add together all of them sugar she would have needed so (1 1/4 times 4) and then subtract what she already had and that gives you 4 and 1/2 cups she would need. Hope this helps
Answer: 4 and 1/2
Step-by-step explanation:
You add together all of the sugar that she would have needed which is 1 1/4 * 4 and then subtract what she already had before which would give you 4 and 1/2 cups she would need.
HELP PLS IF U DONT KNOW CEASE IT DONT ANSWER ONLY ACCEPTING VARIFIED ANSWERS !!!!!!
Answer:
31%
Step-by-step explanation:
use the formula :
P(A&B) / P(B)
meaning :
probability that a student graduates while on fin aid / student on fin aid
= 1879/6101
=1879/6101 *100
= 30.798....
= 31%
EASY 13 POINTS!!!!!!!
Answer:
42
Step-by-step explanation:
Graph all the points and then measure their lengths. Use Pythagorean Theorem for slanted sides. Picture explains everything. Sorry if my graph is a little messy, but you get the idea.
The product of 7 and j is 91
j = 13
Step-by-step explanation:7×j = 91
j = 91 : 7
j = 13
563x367
use scratch paper to help you
Answer: 206621
Step-by-step explanation:
563x367=206621, so 563x7=3941, 563x60=33780, and finally 563x300=168900. Add them all up, 3941 + 33780 + 168900 = 206621.
Please Mark Brainliest!
The figure below shows how Ali spends his time in a day. Calculate the number of hours Ali
spends on playing.
Answer:
75°C = 5h
Step-by-step explanation :
1. Make sure your mind is fresh and that you understand each step before reading
2. 24 hours is equal to 360°C
3. so now lets break up the hours. We can do this by choosing a simple degree that was given in the diagram. For example "Watching tv".
Tip : when choosing one of the degrees , ( i mean one of the choices like watching tv, playing and sleeping) , try choosing the simplest one , which has a simple number and a multiple of 360.
so now you want to know how many hours is 60 equal to .
= 360 ÷ 60 = 60 (this is to make sure the number is a multiple and will not be a decimal )
= 24 ÷ 6 = 4
this means Ali spend 4 hours watching tv
and by doubling that you get 60°C = 4h
the amount of time he slept 120°C = 8h
and you keep playing with the numbers like that
so for playing
60°C = 4h
divide by 4 15°C = 1h
× by 5 75°C = 5h
this means ali spends 5h playing , 8h sleeping, 4h watching tv and 7 h studding
16. The graph shows the favorite colors chosen by some middle school student
Red
Favorite Colors
Yellow
Orange
Blue
Green
Black
Pink
Purple
9
10
Number
Which statement is supported by the information in the graph?
A. Fewer than 30% of the students chose red, yellow, or orange as the
favorite color.
B. More than
10
of the students chose pink as their favorite color.
C. Exactly 18% of the students chose blue as their favorite color,
favorite color.
D. Exactly of the students chose green, black, or purple as their
Answer:c.exactly 18% of students chose blue as their favorite color. I think
Step-by-step explanation:
the sqaure root of 130 falls between which consecutive numbers
In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one person has at least one different neighbor.
Answer:
(x-1)!
Step-by-step explanation:
lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!
For the pair of functions, find (f o g)(x) and (gof)(x).
f(x) = -2x2, g(x) = x + 4
A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2
B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4
C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32
D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4
Sophie drove 162 miles in 3 hours. How fast did she drive in hours per mile
Answer:
54 Miles Per Hour
Step-by-step explanation:
162/3
order from least to greatest: -0.8, 2/5, 0.825, -3/5
Problem 5 (from Unit 2, Lesson 5)
Select all the ratios that are equivalent to each other.
4:7
8:15
16:28
2:3
20:35
Answer:
20:25 probably don't quote me
83.63 - 2.89 × (4.9 - 2.9)2 A. 72.07 B. 50.43 C. 1,046.56 D. 49.31 Please help
Answer:
A would be the anwser
Step-by-step explanation:
Answer: A. 72.07
Step-by-step explanation: Plato
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer: can i help wat is a tip
6) The rectangle below has a perimeter of 46. Find its area:
Answer:
Step-by-step explanation:
Perimeter= 46
Area of rectangle= Length * Width
Ratio = 2 : 1
= Length= 2/3 * 46 = 30.6/2 = 15.3
Width = 1/3 * 46 = 15.3/2 = 7.65
Area= 117.045
Which expression does NOT have a Greatest Common Factor?
Answer:
4x^2-9
Step-by-step explanation:
i just took the quiz
This is about greatest Common factor (G.C.F) thus Option C and Option D does not have a greatest common factor.
What is Greatest common factor?The Greatest common factor between 2 or more numbers is simply the greatest factor that is common to all the numbers.
Option A; 2x² -18
Factors of 2 are 1, 2
Factors or 18 are; 1, 2, 3, 6, 9, 18
In this option we can see that 2 is the only common factor between all the numbers.
Thus, the GCF = 2 So this has a GCF
Option B: 3x² + 12x + 6
Factors of 3 are 1, 3
Factors of 6 are 1, 3. 6
Factors or 12 are; 1, 2, 3, 4, 6, 12
The highest common factor is 3 Thus, this has GCF.
Option C; 4x² - 9
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
Option D; 6x² + 2x² + 5x
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
To Read more about the concept at;
brainly.com/question/17799077
#SPJ2
working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone.
Answer:
10 hrs
Step-by-step explanation:
4.12/2 = 2.06 hrs / person
please help help help
Answer:
I'm fairly sure its 4.93 grams.
Step-by-step explanation:
you take the origional water of 45.1ml and the new 52.3ml, and find the difference, which in this case is 7.2ml.
the density formula is D=M/V
D= Density
M=Mass
V=Volume
so it would be
D= 35.49/7.2
which is 4.93.
again this is just from what I remember of science class.
Answer: 4.93g/cm^3
Step-by-step explanation:
Formula for Density: D = mass / volume
We know that the mass of the unknown object is 35.49g
Mass = 35.49g
To find the volume
Initial water level: 45.1 mL
Final water level: 52.3mL
52.3cm^3 - 45.1cm^3 = 7.2cm^3
Volume = 7.2cm^3
Density = 35.49g/7.2^3
Density =
help i need help i can't figure this out
Answer: A) 23
Step-by-step explanation:
3^2 + ( 6 - 2 ) ⋅ 4 -6/3
3^2 + 4 ⋅ 4 -6/3
9 + 4 ⋅ 4 -6/3
9 + 16 -6/3
25 - 6/3
75/3 -6/3 = 69/3
69/3 = 23
Answer:
23
Step-by-step explanation:
3^2 + (6 - 2) x 4 - 6/3
3^2 + 4 x 4 - 6/3
9 + 16 - 6/3
25 - 6/3
6/3 = 2
25 - 2 = 23
Which property is illustrated?
x+y=y+x
Answer:
The Communitive Property of Addition
Step-by-step explanation:
The properties are
Communitive: You can switch the order and still get the same answer
Assosiative: You can switch what numbers are in the parentheses and still get the same answer (if you're only adding) a+(b+c)=c+(a+b)
Distributive: (a*b)+(a*c)=a*(b+c)
Identity: You can add a number with 0 and get the same number you started with
y+x=x+y is the communitive property because, no matter which order the numbers are, you get the same answer