Answer:
Step-by-step explanation:
Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)
-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k
= -4k² + 13k + 12 +5k² - 8k
Combine like terms,
= -4k² + 5k² + 13k - 8k + 12
= k² + 5k + 12
Like terms are the terms with same variable with same exponent.
(-4k² ) and 5k² are like terms
13k and (-8k) are like terms
standard deviation of the data. 221,228,218,319,224
Answer:
Population: 38.64. Sample: 43.20
Out of 1,200 students that attend Norman Rockwell Middle School, how many would most likely sign up for after school tutoring, if 48 out of 80 students randomly surveyed said they would like to have extra help after school?
Answer:
720
Step-by-step explanation:
Out of 80 students the no. of students who sign up=48
So, out of 1200 students 48×1200÷80=720 students sign up.
The price of a technology stock was $9.84 yesterday. Today, the price fell to $9.73. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
1.1 percent
Step-by-step explanation:
[(9.73 - 9.84) / 9.84 ] * 100 = -1.1 percent change = 1.1 percent decrease
11 12 + 1 - 43 x for
for x = 6.
a.
Evaluate
- 172
-162
. 367
d. 392
b.
C.
Answer:
- 125
Step-by-step explanation:
11 × 12 + 1 - 43x
132 + 1 - 43(6)
132 + 1 - 258
133 - 258
- 125
Three line segments have measures of 17 units, 11 units and 12 units. Will the segments make a triangle?
Answer:
Yes
Step-by-step explanation:
Yes, they will form a triangle. This is so because when testing for, we use the simple and logical analysis of
Adding up the two shorter sides > the third longest side.
In the example of the question we have here. The two short sides are 11 and 12 respectively. Adding them up together, we have
11 + 12 = 23
And the third longest side to be 17. Now, is 23 greater than 17 or not?
Of course it is, so yes, the sides will form a triangle.
Question 17
5 pts
The population of fish in an aquarium can be modeled after exponential growth. If there
were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there
be after 14 weeks?
321 fish
698 fish
452 fish
815 fish
Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
Parallelogram ABCD has
coordinates A(1,5), B(6,3),
C(3,1), and D(2,1). What are the
coordinates of E, the intersection
of diagonals AC and BD?
Answer:
Step-by-step explanation:
rise over run algebra one help please
Answer:
Slope is -3
Equation is y = -3x + 2
Step-by-step explanation:
(0 , 2) and ( -1 , 5)
m= (y2-y1)/(x2-x1)
m= (5 - 2)/(-1 -0)
m= 3/-1
m= -3
y - y1 = m(x - x1)
y - 2 = -3(x - 0)
y - 2 = -3x + 0
y = -3x + 2
Can someone help me pls?
Find the length of the missing side x ... please help me
Answer:
x = 10
Step-by-step explanation:
Use Pythagorean Theorem
c2 = a2 + b2
Here you must find the hypotenuse length (x) which is c in the equation. Thus substitute the values given into the equation:
c2 = 6^2 + 8^2
c2 = 100
Square root both sides so
c = 10
Thus length of x is 10
Evaluate b2c-1 for b = -4 and c = 2.
-8
4
8
32
Answer:
-8
the way you meant to write it was -4^2 x 2^-1
Step-by-step explanation:
Answer:
it is 8 but it's not negative 8
I tried negative 8 and it said it was wrong so it must be 8
Could someone explain how to do this please,I don’t get it
9514 1404 393
Answer:
B. 51
Step-by-step explanation:
In statistics, "range" generally means the difference between the maximum and the minimum. To find the range of these numbers, locate the maximum (54) and the minimum (3) and find their difference:
54 -3 = 51
The range of the numbers is 51.
_____
Additional comment
The range is used for a variety of purposes. In some cases, it can be used to estimate the variance. In other cases, it can be used to choose bin boundaries for a histogram or other chart of values.
This use of the term "range" should not be confused with the idea of the "range" of a function. That is the list (or description) of all function values.
Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:
Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°
what is the answer to this.....
56kg X 3/8
Answer:
21 Kg
Step-by-step explanation:
Divide 56 Kg by 8 and multiply the answer by 3 , that is
56 Kg ÷ 8 = 7 Kg , then
3 × 7Kg = 21 Kg
Can someone help me please
I will mark brainiest
Don’t need to show work
Answer:
24 classes
Step-by-step explanation:
Let
x = number of classes
Devaughn is a member at the local gym = 120 + 5x
Jerome is not a member = 10x
Equate the total cost of both individuals
120 + 5x = 10x
120 = 10x - 5x
120 = 5x
x = 120/5
x = 24 classes
The total cost of Devaughn and the total cost of Jerome will be equal in 24 classes
Dante buys 6 1/6 pounds of turkey and ham at the store. The weight of the turkey is 3 1/2 pounds. Which equation and solution shoes how much ham Dante bought?
A. 6 1/6 + 3 1/2=h h = 9 2/3
B. 3 1/2 +h = 6 1/6 h = 2 2/3
C. h − 3 1/2 = 6 1/6 h = 9 2/3
D. 3 1/2h = 6 1/6 h = 1 16/21
Answer:
prob a
Step-by-step explanation:
last year ,david earned a salary of d dollars.This year ,he recieved a 1.5% raised.Which expression represents the salary david will earn this year? selet all that apply
A.0.015d
B.0.15d
C.1+0.015d
D.1+0.15d
E.1d+0.015d
F.1d+0.15d
G.1.015d
H.1.15d
Answer:
E. 1d+0.015d
G. 1.015d
Step-by-step explanation:
A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.
the tax rate is 8.5% what is the tax on $95 round to the nearest hundredth
Answer:
this should be right 103.075
Step-by-step explanation:
Factor 9x + 27.
A9x + 27)
B. 9(x + 3)
C. 3(3x + 3)
D. 3(3x + 7)
Answer:
the answer is B i think
Step-by-step explanation:
Answer:
9(x+3)
Step-by-step explanation:
9x+27
What is the area of sector ACB? Leave your answer in terms of pi.
Answer:
c
Step-by-step explanation:
Find the value of X. Please help ASAP!! I have no idea how to do this and I have to have it done soon!!
Answer:
[tex]x=\frac{3}{4}=0.75[/tex]
Step-by-step explanation:
From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.
In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:
[tex]4x+5=8[/tex]
[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])
[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
Write and equation and find the value of x in the following problems
x =
degrees
Answer:
x = 5
Step-by-step explanation:
6x and 30 are vertically opposite angles and are congruent, then
6x = 30 ( divide both sides by 6 )
x = 5
The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?
plz answer in comments i have ads
Answer:
All you would do is times 12 by .15 or 15% you get 1.8 then all you do is 12 minus 1.8 you get $10.20 that is the price of a discounted pizza
I hope this helps
plz help me on this one its really hard :(
Answer:
It will be 63.9
Step-by-step explanation:
Trust me, I got it right
Answer:
63.6mm² (the last option)
Explanation:
the formula for calculating the area of a circle is πr², where r is the length of the radius.
in this case, we know that 9mm is the length of the diameter of the circle, so we can divide that by 2 to get 4.5mm for the length of the radius.
the question has instructed us to use 3.14 for π (pi), so we can substitute these values into the formula:
πr² = 3.14 × 4.5² = 63.585mm²
we can now round this to the nearest tenth to get 63.6mm², which would be the last option.
i hope this helps! :D
what is the answer (2x+1)(3x−4)=0
Answer:
x= 4/3
x= -1/2
Step-by-step explanation:
2x (3x-4) +1(3x-4) = 0
Distribute
6x^-8x +1(3x -4) = 0
Multiply by 1
6x^2 -8x +3x-4=0
Answer:
(2x + 1) ( 3x - 4) = 0
solve by factoring
2x + 1 = 0
2x = -1
divided by 2 on both sides
x = -1/2
3x - 4 = 0
3x = 4
divided by 3 on both sides
x = 4/3
x¹ = -1/2 , x² = 4/3 is the solution
Solve for x.each figure is a parallelogram.show steps
Answer:
opposite sides of a parallelogram are equal
2x+15=x+15
2x-x=15-15
x=0
Answer:
x = 0
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, that is
ST = RU , substitute values
2x + 15 = x + 15 ( subtract x from both sides )
x + 15 = 15 ( subtract 15 from both sides )
x = 0
The wages w (in £) June earns is the number of hours she works n multiplied by her hourly rate r (in £ per hour). Enter a formula for June's wages and enter the wage she would earn if she worked 17 hours at a rate of £7.30 per hour
Answer:
Wages she earn = £124.1
Step-by-step explanation:
Given:
Number of hour work in June = 17 hour
Rate = £7.30 per hour
Find:
Wages she earn
Computation:
Wages she earn = Number of hour work in June x Rate
Wages she earn = 17 x £7.30
Wages she earn = £124.1
please answer xoxo will mark brainliest
Answer:22:2x10x10x10x10x10x10x10x10x10x10... 23:3.4x10 divided by 2.... 24:1.5x10 divided by 9...... 25:5.9x10x10x10x10x10x10x10x10x10x10.... 26: 4.8 x 10 divided by 3..... 27: 6.25x10x10x10x10x10.
Step-by-step explanation:I divide because on some of them it's a negative power so instead of multiplying I'll divide. Hope this helps
40% of students play an instrument if 8 represents the amount of students who play an instrument how many students are in this class
Answer:
500 students
Step-by-step explanation:
Please help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points
Show your work it’s sublimation
Will give points
Answer: Chnager your profile pic
Step-by-step explanation:
Answer:
noooooo nittt
Step-by-step explanation:well urv gay