Answer:
Side = [tex]5\sqrt5\ \text{feet}[/tex]
Step-by-step explanation:
Given that,
Area of a square room is 125 square feet
We need to find the length of one side of the room.
The area of a square shaped room is given by :
[tex]A=x^2[/tex]
Where, x is side of the square room
[tex]x=\sqrt{A} \\\\x=\sqrt{125}\\\\x=\sqrt{5\times 5\times 5}\\\\x=5\sqrt5\ \text{feet}[/tex]
So, the side of the room is [tex]5\sqrt5\ \text{feet}[/tex].
Considering only functions that have a rate of change less than that represented in the graph, which function has the greatest rate of change?
A. y = 7/6x + 2/3
B. y = 7/5x + 7/5
C. y = 6/5x + 11/5
D. y = 5/4x + 15/4
=======================================================
Explanation:
Slope is the same as the rate of change for any linear function. We ignore the y intercepts.
The slopes of the four equations, A through D, are: 7/6, 7/5, 6/5, and 5/4
This is because each equation is in y = mx+b form with m as the slope.
Convert each fractional slope into decimal form
7/6 = 1.167 approximately7/5 = 1.4006/5 = 1.2005/4 = 1.250We see that 7/5 produces the largest decimal, so 7/5 is the largest fraction of the four slopes.
Therefore equation y = (7/5)x+7/5 has the greatest rate of change.
Pls help me fast! Thank you! 10 points
what expression is equal to 6x-8/4
Answer:
12x-6x-2
Step-by-step explanation:
8/4=2
12-6=6
6x-2
What does x equal? 2/7(x+4)=−6
Answer:
[tex]\boxed{x=-25}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7} (x+4)=-6[/tex]
→ Multiply everything by 7 to get rid of the fraction
[tex]2(x+4)=-42[/tex]
→ Expand the bracket
[tex]2x+8=-42[/tex]
→ Minus 8 from both sides to isolate 2x
[tex]2x=-50[/tex]
→ Divide both sides by 2 to isolate x
[tex]x=-25[/tex]
2. Find the value of x for which l | | m.
Which of the following equations correctly represents the set-up to solve for x?
A: x-6+2x=10
B: x-6+2x=90
C: x-6=2x-8
D: x-6+2x-8=180
Answer:
x-6 + 2x-8 = 10
Step-by-step explanation:
ST + TU = SU
x-6 + 2x-8 = 10
Combine like terms
3x - 14 = 10
Add 14 to each side
3x-14+14 = 10+14
3x = 24
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
wat is the answer
Answer:
There was a 25% increase.
Step-by-step explanation:
Find AC,AB=9x+1 BC=6x+25
Answer:
do u have a pic
Step-by-step explanation:
i need more info
if the volume of a cube is 1,729 cubic inches, what is the length of each of its sides
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I think It must be 1,728.
So :
[tex] \sqrt[3]{1728} = 12[/tex]
Thus each of its sides has a length of 12 inch.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The sum of a number and 32 is two-thirds the number and 45. (Algebra)
Answer:
he sum of a number and 16 is equal to 45. 2. The product of 6 and m is 216. 3. The difference of 100 and x is 57. 4. The quotient of z and 10 is 32. X+16= 45.
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
45 divided by 3 is 15 and if you multiply that by 2 you get 30. 32 - 2 is 30
A line has the following equation: y=\frac{6}{7}x+5y=
7
6
x+5
What is the slope of a line parallel to the given line?
Question Blank
type your answer...
What is the slope of a line perpendicular to the given line?
Question Blank
type your answer...
Answer:
Step-by-step explanation:
I'm still not exactly sure what the question really is, but the level suggests that it is
y = (6/7)x + 5
Any line that is parallel to this line has a slope of 6/7
Any line that is perpendicular to this line is a little more complicated.
slope of given line * slope of perpendicular line = - 1
6/7 * perpendicular slope = - 1
Multiply by 7
6*perpendicular slope = - 7
Divide by 6
perpendicular slope = - 7/6
pleasee helpp. Find all missing angles.
Answer:
1-51
2-18
3-123
4-39
Step-by-step explanation:
QS bisects ∠PQR. If m∠PQS = (5x)⁰ and m∠RQS = (2x + 6)⁰, then what is m∠PQR? Draw a picture and label before solving. *
Answer:
m∠PQR = (7x + 6)⁰
Step-by-step explanation:
Please find the diagram in the attachment.
Mathematically, since the angle PQR is bisected by the given line, it means that;
RQS + PQS = PQR
Thus;
PQR = (2x + 6) + 5x
PQR = 2x + 6 + 5x
PQR = 7x + 6
m∠PQR = (7x + 6)⁰
4n - 3n3 - 3n3 + 4n
please help quick
Answer:
8n-6n6
Step-by-step explanation:
collection of like terms
4n+4n-3n3-3n3
8n-6n6
i'm back at it again. anyone helppp I'm so confused rnn
Explanation:
For every problem, plug in the number where the variable is.
For example:
Evaluate the following expression by substituting 8 for x.
x + 9
You would take the x and turn it into 8, then you would do 8 + 9.
Answer:
1)
a= 17
b= 7
c= 56
d= 4
e= 29
f= 10
g= 18
h= 4
2)
a= -1
b= 2/3
c= -4/3
d= -5/3
e= -2
f= -8/3
g= -14/9
h= -17/9
3)
a= 1/2
b= 5/6
c= 1/6
d= -1/3
e= 1/3
f= 5/12
g= 7/18
h= 0.75
Step-by-step explanation:
Susan is training for a marathon. In the marathon the distance required to run is 5.2 miles. Susan is currently running 4.8 miles in 22 minutes. She does not want her total run time to exceed 22 minutes. How much further does she need to run in the 22 minutes to complete the marathon and reach her goal?
Answer:
0.4miles.
Step-by-step explanation:
The total distance to run for the marathon = 5.2 miles
Susan is currently running 4.8 miles in 22 minutes.
How much further does she need to run in the 22 minutes to complete the marathon and reach her goal?
= 5.2 - 4.8
= 0.4 miles.
If f(x) = -x +6 and the domain of f is { 3, 7 , 11}, what is the range of f(x)?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Step-by-step explanation:
hope it helps
Answer:
B
Step-by-step explanation:
what is y^2 when y=-2?
Answer:
4
Step-by-step explanation:
y=-2
-2*-2
4 (2 negatives is a positive)
Answer:
y ^ 2 = 4
Step-by-step explanation:
y ^ 2
= -2 ^ 2
= 4 (since - * - = +)
What is the formula for finding slope?
Answer:
To find the slope of two given points, you can use the point-slope formula of (y2 - y1) / (x2 - x1). With the points plugged in, the formula looks like (3 - 2) / (4 - 1). Simplify the formula to get a slope of ⅓.
Step-by-step explanation:
HOPE THIS HELPED ✨
Why the following triangles are congruent!
Answer:
Because the sides BO and MA are marked with one line through the middle, which means those sides are congruent, angle A and Angle O are marked with one line, the angles are congruent, and angles W and N are marked with two lines, which means they are congruent. Therefore the triangles are congruent
0.00125mi squared=?ft squared
Answer:
6.6
Step-by-step explanation:
Multiply the length value by 5280
LAST QUESTION TO MY TEST I DONT WANNA FLUNK HELP ME
Find the slope given these points:
(-1,7) & (2,2)
-5/3
5
5/3
Answer:
the answer to the question is -5/3
solve for r step by step v =1/3 IIR^3 h
Answer:
[tex]r=\sqrt[3]{\frac{3v}{\pi h} }[/tex]
Step-by-step explanation:
The equation is v=1/3πr³h
Multiply both sides of equation by 3 to get
3v=πr³h
Divide both sides of the equation by πh to get
3v/πh = r³
Apply cube root on both sides of the equation as;
[tex]\sqrt[3]{\frac{3v}{pih} } =r[/tex]
Albert bought 3 blank tapes for $5.95. Find the cost per tape to the nearest cent.
Answer:
17.85
Step-by-step explanation:
just times 5.95 by 3
Work out the answers to:
a) 13+ (-20)
b) (-14) + (-11)
c) 18 -(-9)
d) (-21)-(-36)
Answer:
a. -7
b. -25
c. 27
d. 15
Step-by-step explanation:
The solution of expression is a) 13 + (-20) = -7
b) (-14) + (-11) = -25
c) 18 - (-9) = 27
d) (-21) - (-36) = 15
a) 13 + (-20) = -7
To add a positive number and a negative number, we subtract the absolute values and use the sign of the number with the greater absolute value.
b) (-14) + (-11) = -25
When adding two negative numbers, we simply add their absolute values and retain the negative sign.
c) 18 - (-9) = 27
Subtracting a negative number is equivalent to adding its positive value. Therefore, 18 - (-9) becomes 18 + 9, which equals 27.
d) (-21) - (-36) = 15
Similar to the previous example, subtracting a negative number is equivalent to adding its positive value. (-21) - (-36) becomes (-21) + 36, which equals 15.
Learn more about expression here
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An athlete is jumping. However, every time she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot. On her second jump, she goes 1/4 of a foot, and so on and so forth. How many jumps does it take for her to travel 1 foot?Immersive Reader
Answer:
She will never complete 1 foot
Steps:
1) We will find the maximum value of this process, when this is carried out infinite times.
This process goes like a Infinite GP, whose
First term,a = 1/2ft.
Common Ratio, r = 1/2ft.
Maximum value of this process is One Foot when the athlete jumps forever or Practically, she will never complete her 1 foot.
Hence, Athlete will never complete. her complete .
Starting from 1/2 ft. ,and ending at 1 foot.
The value always tends toward 1 but never reaches one.
53.28 is what percent of 71.04?
Answer:
15.43
Step-by-step explanation:
71.04% off 53.28 is 15.43
The difference is 37.85 ,hope i helped
The _______ name of a number is how it sounds when we say its name the long way.
Answer:
Word. The word name
Step-by-step explanation:
I hope this helps you :)
Jenise throws a ball 75 times and hits the target 41 times. What is the experimental probability that she will hit the target? State your answer as a percent.
Answer:
Step-by-step explanation:
Probability is the ratio of the required outcome to the total possible outcome
Total outcome = 75
Number of times target was hit (expected outcome) = 41
Pr(she will hit target)= 41/75
Next is to state in percent and u do that by multiplying the resulting fraction by 100
41/75 i n percent.
41/75×100
= 4100/75
= 54.67%
Hence the answer in percentage is 54.67%
Solve the compound inequality and graph the solutions,
-1
Answer:
Step-by-step explanation:...