Answer:
Mean: 49.7
Median: 49.5
Mode: 24, 65
Range: 62
Step-by-step explanation:
What is the Greatest Common Factor (GCF) of 2x^2 and 4x?
Answer:
56
Step-by-step explanation:
In a lab, a substance was cooled by 4 C each hour for 28 hours. What was the total change in temperature?
Answer:
112
Step-by-step explanation:
Use the equation below to find v, if u = 18, a=6, and t=4.
v=u+at
Answer:
v= 42
Step-by-step explanation:
To find the value of v, substitute the given values into the equation.
v= u +at
when u= 18, a= 6, t= 4,
v= 18 +6(4)
v= 18 +24
v= 42
Mark all of the statements that are true.
Answer: E C and A
Step-by-step explanation:
How would I graph this plz help me
Answer: [See attached immage]
The Answer: I really hope this helps!!!
Are 6 (x + 5) and 6 • x + 6 • 5 equivalent
Answer:
Yes they are equivalent
In △XYZ, angle X is the smallest angle, angle Y is 40 degrees more than angle X, and angle Z is 2 times the measure of angle X. What is the measure of angle X?
Answer:
x=35° y= 75° z = 70°
Step-by-step explanation:
Y = x+40 (known)
z = 2x (known)
x + y + z = 180 (triangle property)
x + (x+40) + 2x = 180 (substitution)
4x + 40 = 180
4x = 140
x = 35
y = x + 40 = 75
z = 2x = 70
HELPPPP indentify one characteristic of exponential decay
Answer:
A more intuitive characteristic of exponential decay for many people is the time required for the decaying quantity to fall to one half of its initial value. This time is called the half-life, and often denoted by the symbol t1/2. The half-life can be written in terms of the decay constant, or the mean lifetime.
Step-by-step explanation:
Create a story for the following function: y=15,000 - 250x please help!!
Answer:
just search and then thats it
Can you answer this plzz
Answer:
that will be 4
Step-by-step explanation:
it goes by 4
Given a quadrilateral DEFG. If angle ED is supplementary to ____________then DEFG is a parallelogram .
A. angle EFG and angle DEF B. angle DGF and angle EFC C. angle DEF and angle DGF
Answer:
The correct option is A.
Step-by-step explanation:
It is given that DEFG is a parallelogram.
Draw the diagonals DF and EG. Place point H where DF and EG intersect.
In triangle HGD and HEF
,
∠HGD ≅ ∠HEF (Alternate Interior angle)
∠HDG ≅ ∠HFE (Alternate Interior angle)
By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.
DG ≅ EF (Opposite sides of parallelogram)
According to ASA postulate :
two triangles are congruent if any two angles and their included side are equal in both triangles.
So, by using ASA criterion for congruence we get,
ΔDGH ≅ ΔFEH
Since corresponding sides of congruent triangles are congruent, therefore
GH ≅ EH (CPCTC)
DH ≅ FH (CPCTC)
What are the values of x and y?
Answer
the one in the bottom right
Step-by-step explanation:
Answer:
option 2
Step-by-step explanation:
Using the cosine and sine ratios in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex]
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 60 ( divide both sides by 2 )
x = 30
--------------------------------------------------
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{3} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
y = 10[tex]\sqrt{3}[/tex]
can you help me plz i nee help
Answer:
x = 44
Step-by-step explanation:
its saying that x is less than 45 therefore its 44
Answer:
D
Step-by-step explanation:
x needs to be less then 45
question answer pls
[tex]20a ^{12} b ^{2} - 15a ^{8} b ^{4} [/tex]
Answer:
The greatest common factor term 20a^12 b² -15a⁸b^4 of the expression 20a ^12 b² -15a⁸b^4 = 5x4xa⁸ xa⁴xb²x = 5a⁸xb²x4a⁴ and -15⁸b⁴ = 5x-3xa⁸xb²x-3b²
Step-by-step explanation:
Hence, The expression 20a¹²b²- 15a⁸b⁴= 5x-3xa⁸xb²xb²= 5a⁸b²(4a⁴-3b²)
- Hope this helped! :3
MATH HELP ASAP!! MARKING BRAINLIST PLS! A B OR C
Answer:
A
Step-by-step explanation:
I am 100% sure it is A.
Consider angle θ in Quadrant lI, where cosθ = - 12/13. What is the value of sinθ?
Answer:
The value of sin Ф is [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
In quadrant II, the value of
sin Ф is positivecos Ф is negativetan Ф is negativeLet us solve the question
∵ sin²Ф + cos²Ф = 1
∵ cos Ф = [tex]\frac{-12}{13}[/tex]
→ Substitute it in the identity above
∴ sin²Ф + ([tex]\frac{-12}{13}[/tex])² = 1
∴ sin²Ф + [tex]\frac{144}{169}[/tex] = 1
→ Subtract [tex]\frac{144}{169}[/tex] from both sides
∵ sin²Ф + [tex]\frac{144}{169}[/tex] - [tex]\frac{144}{169}[/tex] = 1 - [tex]\frac{144}{169}[/tex]
∴ sin²Ф = [tex]\frac{25}{169}[/tex]
→ Take the square root of both sides
∵ √(sin²Ф)= ± [tex]\sqrt{\frac{25}{169}}[/tex]
∴ sin Ф = ± [tex]\frac{5}{13}[/tex]
∵ Ф is in quadrant II
∴ sin Ф is a positive value
∴ sin Ф = [tex]\frac{5}{13}[/tex]
∴ The value of sin Ф is [tex]\frac{5}{13}[/tex]
Write y = x2 – 18x + 52 in vertex form.
a
y = (x – 9)2 + 113
b
y = (x – 9)2 – 29
c
y = (x + 9)2 – 29
d
y = (x – 9)2 + 52
Answer:
b is the correct answer
y=a(x+n)^2+k
vertex: -b/2a 18/2=9
y=1(x-9)^2
k=9^2-18(9)+52= 81-162+52=-29
y=(x-9)^2-29
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Question 38
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Question 38
This year, Martin's income is 1/4 greater than his income from last year.lfs represents Martin's income last year, what is his income this
i
year?
A
S
B
S
С
s
D
4s
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what is the solution of the proportion?
x-6/4 = 2/4
a 9/2
b 5/2
c 21/2
d 18
Answer:
Solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex] is x=8.
Step-by-step explanation:
We need to find solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex]
For solving the equation, first we will multiply both sides by 4
[tex]\frac{x-6}{4}=\frac{2}{4}[/tex]
[tex]4\times \frac{x-6}{4}=4\times \frac{2}{4}[/tex]
[tex]x-6=4(\frac{2}{4})[/tex]
Simplifying
[tex]x-6=2[/tex]
Adding 6 on both sides
[tex]x-6+6=2+6x=8[/tex]
So, solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex] is x=8.
Note: Kindly recheck your options as correct answer is x =8.
The equation y+6=3(x= 9) is written in point-slope form. What is the equation written in slope-intercept form?
O y-x-
O - x + 9
O x-fx-8
o y = x + 3
Answer:
slope intercept form is y = mx + b
It looks like y= x+3 is the only option in slope intercept form
What is the solution to the system of eqautions represented by these two lines?
Answer:
Step-by-step explanation:
A or C
Answer:
The solution to the system of equations represented by these two lines is:
(2, 0)Hence, option C i.e. (2, 0) is correct.
Step-by-step explanation:
Please note that the point of intersection between two lines is the solution of the system of equations.
From the graph, it is clear that two lines intersect at x = 2 and y = 0.
In other words, the point of intersection of the two lines is:
(x, y) = (2, 0)
Therefore, the solution to the system of equations represented by these two lines is:
(2, 0)Hence, option C i.e. (2, 0) is correct.
You solve a system by substitution and get 16=34. What does this mean?
SOMEONE PLEASE HELP
Answer:
First choice.
Step-by-step explanation:
When you solve the system and somehow get both sides two different value. That means both graphs are oarallel (graph of both equations). When two sides are different, we can say that there are no solutions.
help me plz !!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
8 ×1/2, if I'm wrong I am sorry
Answer:
1/8
Step-by-step explanation:
What is a reasonable estimate for the solution? O (1,-3/4) O (-3/4,1) O (-1,3/4) O (3/4,-1)
Answer:
See Explanation
Step-by-step explanation:
Your question is incomplete, as the equations or graph or table(s) were not given.
However, I'll give a general way of solving this.
Take for instance, the equations are:
[tex]y = \frac{4}{3}x - 1[/tex]
[tex]y = \frac{2}{3}x - \frac{1}{2}[/tex]
To do this, we start by equating both equations.
[tex]y = y[/tex]
i.e.
[tex]\frac{4}{3}x - 1= \frac{2}{3}x - \frac{1}{2}[/tex]
Collect Like Terms
[tex]\frac{4}{3}x - \frac{2}{3}x= 1 - \frac{1}{2}[/tex]
Take LCM
[tex]\frac{4x- 2x}{3}= \frac{2 - 1}{2}[/tex]
[tex]\frac{2x}{3}= \frac{1}{2}[/tex]
Cross Multiply
[tex]2x * 2 = 3 * 1[/tex]
[tex]4x = 3[/tex]
Make x the subject
[tex]x = \frac{3}{4}[/tex]
Substitute 3/4 for x in [tex]y = \frac{4}{3}x - 1[/tex]
[tex]y = \frac{4}{3} * \frac{3}{4} - 1[/tex]
[tex]y = 1 - 1[/tex]
[tex]y = 0[/tex]
Hence:
[tex](x,y) = (\frac{3}{4},0)[/tex]
Answer:
The answer is ( D )
Step-by-step explanation:
systems of equations 5x+y=7
20x+2=y
Step-by-step explanation:
5x+y=7
20x+2=y
put y value in first equation
5x+(20x+2)=7
25x=5
x=5
now put x value to determine y
as we know 20x+2=y
20(5)+2=y
y=102
Which linear equation has the greatest y intercept?
x + 6y = 36
Y = 15x + 5
3x + 8y = 24
Y = 4x + 7
Answer:
y=4x+7
Step-by-step explanation:
replace x by any one number and find out
Del sells his goods for £54.60 making a 9% loss how much did he pay for the good when he bought them?
Answer:
£54.65
Step-by-step explanation:
Del sells his goods for £54.60 making a 9% loss how much did he pay for the good when he bought them?
We are to find the cost price.
Loss = Cost price - Selling price
Percentage loss =
(Cost price - Selling price/Cost price) × 100
Percentage loss = 9% = 0.09
Selling price = £54.60
Cost price = x
Hence:
0.09 = x - £54.60/x × 100
0.09 = 100(x - £54.60)/x
Cross Multiply
0.09x = 100(x - £54.60)
0.09x = 100x - 5460
100x - 0.09x = 5450
99.91x = 54.50
x = 5460 / 99.91
x = 54.649184266
Approximately, x = £54.65
Therefore, the cost price = £54.65
Emily Casper earns a weekly salary of $785. How much will she make after:
a, two weeks?
b, four weeks?
c, one year?
Answer:
Two weeks: $1570
Four weeks: $3140
One year: 9420
Step-by-step explanation:
Dave bought 8 more Xbox games than Kevin Dave bought 12 games. how many games did Kevin buy
Answer: 12 -8 = 4
Step-by-step explanation:
HELP THIS IS WORTH 100 POINTS WILL MARK BRAINLIEST
Answer:
V T R (answer choice 4)
Step-by-step explanation:
Plane B is the side of the figure labeled B
The following points are on Plane B:
T, U, V, R, S
The only answer that contains three of these points is D (Answer choice 4)