Answer:
2
Step-by-step explanation:
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP EXPLAIN TO ME IN WORDS!
QUESTION IN SCREENSHOT!
Also: hows your day going, how are you feeling?
Answer:
So, we can check step by step.
2x^2-7x+5=0
So, 2x^2-2x-5x+5=0 is correct
2x(x-1)=2x^2-2x, 5(x-1)=-5x + 5= 0, that step is correct
(I'll skip the next step)
2x-5=0,
2x=5
x=5/2, NOT 2/5
The other one is correct
Sorry if this seems a bit vague!
[tex]\\ \rm\Rrightarrow 2x^2-7x+5=0[/tex]
Split the middle term[tex]\\ \rm\Rrightarrow 2x^2-2x-5x+5=0[/tex]
Take common[tex]\\ \rm\Rrightarrow 2x(x-1)-5(x-1)=0[/tex]
Factor up[tex]\\ \rm\Rrightarrow (2x-5)(x-1)=0[/tex]
Find x[tex]\\ \rm\Rrightarrow x=5/2,1[/tex]
Lauren written 2/5 instead of 5/2
Let's verify once more
2x-5=02x=5x=5/2Help me find Fred's mistakes. I need to know which step Fred messed up on. Answer choices...
A. Fred made a mistake in step 1
B. Fred made a mistake in step 2
C. Fred made a mistake in step 3
D. Fred didn't make a mistake
Answer:
C. Step 3
Step-by-step explanation:
Fred lost the negative sign, but everything else was right. He should have gotten -9.
what is the slope of line QX? X(5,5) and Q(4,1)
Answer:
4
Step-by-step explanation:
[tex]slope = \frac{5 - 1}{5 - 4} \\ = \frac{4}{1} \\ = 4[/tex]
Answer: 4
Step-by-step explanation:
Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).
For point Q (4,1) the y-value is 1 and the x-value is 4.
For point X (5,5), the y-value is 5 and the x-value is 5.
To find the slope, take the y-value for point X minus the y-value for point Q. That is the numerator of your slope. Then take the x-value for point X minus the x-value for point Q. That is the denominator of your slope.
The numerator divided by the denominator equals the slope.
(5-1)/(5-4) = (4)/(1) = 4
The average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7. What number is left out? B8 C 10 A 7 D 12
The left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the number of sum is x when mean is 8
[tex]\rm \dfrac{x}{5} = 8[/tex]
x = 40
Now one number is left out, mean become 7 let's suppose the sum is y.
[tex]\rm \dfrac{y}{4} = 7[/tex]
y = 28
So, the number = 40 - 28 = 12
Thus, the left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
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A, B and C are points on the line 2x+y=8
DCE is a straight line.
AB:BC=2:1
EC:DC=1:2
Work out the ratio Area of triangle AEC : Area of triangle BCD
Give your answer in its simplest form.
The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have line;
2x+y=8
x/4 + y/8 = 1
Coordinate for A(4, 0) and B(0, 8)
To find the coordinate C we will use external section formula:
Let (a, c) be a coordinate for C
AB : BC = 2:1
AC:BC = 3:1
[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]
C(a, b) = (-2, 12)
Let coordinate for E(0, e) and for D(f, 0)
EC:DC=1:2 and C(-2, 12)
So after applying section formula, we will get:
E(0, -3) and D(0, 36)
Area of triangle AEC = (1/2)(7)(12) = 42 square units
Area of triangle BCD = (1/2)(28)(2) = 28 square units
ratio of area of triangle AEC : area of triangle BCD = 42:28
= 21:14
Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
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Two numbers have a product of -36
They have a sum of -5
What are the two numbers?
Answer:
-9,4
Step-by-step explanation:
What is the slope of the line shown in the graph?
(-2,2)
2
(0,1)
0-2
Answer:
= -0.5
Step-by-step explanation:
Slope:
(y2-y1/x2-x1)
Plug in:
(0,1), (-2,2)
2-1/-2-0
-1/2
= -0.5
A shoebox has a volume of 64 in.³ and a surface area of 160 in.² what is the surface area of a similar shoe box if its volume is only 27 in.³ show your work or explain how you got your answer
Answer:
90 in²
shoebox:
volume = 64 in³surface area = 160 in²Another shoebox:
volume = 27 in³surface area = x in²====================
[tex]\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2[/tex]
====================
[tex]\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2[/tex]
[tex]\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}[/tex]
[tex]\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}[/tex]
[tex]\sf \hookrightarrow \ x^3 = 729000[/tex]
[tex]\sf \hookrightarrow \ x = \sqrt[3]{729000}[/tex]
[tex]\sf \hookrightarrow \ x = 90[/tex]
One of the corners of a rectangle is shown.
A diagonal splits the corner into two angles.
20
Х.
Diagram not
drawn to scale
Work out the size of angle x.
Answer:
70 degrees
Step-by-step explanation:
rectange angle total = 360
1 corner = 90
90-20 = 70
10^3 I need some help can someone help please.
A number raised to an exponent is the number multiplied by itself the number of the exponent:
10^3 = 10 x 10 x 10 = 1,000
Help!
just pick the right option thanks
Answer:
A:)
Step-by-step explanation:
l and lll
E represents an object's weight on earth and m represents that same object's weight on the moon. the equation m = 1/6 e represents the relationship between these quantities. a. what does the 1/6 represent in this situation? b. give an example of what a person might weigh on earth and on the moon.
In the equation, 1/6 represents the constant of proportionality.
If a person weighs 60 kg on earth, the person would weigh 10kg ont he moon.
What is inverse proportion?
The equation that represents inverse proportion is: m = ke
Where:
m = dependent variable k = constant of proportionalitye = independent variableIf k is 1/6 and e is 60kg,
m = 1/6 x 60 = 10kg
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Zey can buy socks online for $3.50 a pair plus a $6 shipping charge. A local store
sells socks for $5 a pair.
The graph represents the total cost depending on the number of pairs of socks
purchased
Choose the two statements that are true about the graph
In this situation, it is true buying three pairs of socks costs less at the store and buying fout pairs costs the same online and in the store.
How much does it cost to buy three pairs?Store: $5 x 3 = $15
Online: $3.50 x 3 = $10.5 + $6 = $16.5
This shows buying three pairs cost less at the store, which makes the first statement correct.
How much does it cost to buy 4 pairs?Store: $5 x 4 = $20
Online: $.3.50 x 4 = $14 + $6 = $20
This shows buying four pairs is the same in the store or online.
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Given: x1 = 6, x2 = 2.5, y1 = 2.4. Find y2 if the points are (a) directly proportional or
(b) inversely proportional
a) The value of y₂ is 1 for the direct proportionality case.
b) The value of y₂ is 5.76 for the inverse proportionality case.
How to predict a value by apply proportionality model
Proportionality represents a family of relationships between two variables, which can be linear and nonlinear. Direct proportionality represents a linear relationship, whereas inverse proportionality represents a kind of nonlinear relationship.
Here are two mathematical representations of the relationships described above:
Direct proportionality[tex]y \propto x[/tex]
[tex]\frac{y_{2}}{y_{1}} = \frac{x_{2}}{x_{1}}[/tex] (1)
Inverse proportionality[tex]y \propto \frac{1}{x}[/tex]
[tex]\frac{y_{2}}{y_{1}} = \frac{x_{1}}{x_{2}}[/tex] (2)
If we know that x₁ = 6, x₂ = 2.5, y₁ = 2.4, then the value of y₂ for each case are, respectively:
Direct proportionalityy₂ = 2.4 × (2.5/6)
y₂ = 1
Inverse proportionalityy₂ = 2.4 × (6/2.5)
y₂ = 5.76
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I need this answered real quick
Answer:
11x+60° =93
11x =93-60
x=33/11
x=3
z+93 = 180 (being angles in st. line)
z=180-93
z= 87
Answer:
x=3
z=87
Step-by-step explanation:
Using the vertical angles rule, we can set 11x+60=93, solve for x:
[tex]11x+60=93\\11x=33\\x=3[/tex]
Since two angles on a line add up to 180, we can find z by setting 180=z+93, solve for z:
[tex]180=93+z\\87=z[/tex]
Need help on this question
Answer: 36 degrees
Step-by-step explanation:
The lateral area of a cone is 9.81 in. The radius is 1.4 in. Find the slant height.
Answer:
As Per Provided Information
Lateral area of cone is 9.81 in Radius of cone is 1.4 inWe have been asked to determine the slant height of the cone .
Formula used to calculate the lateral area of a cone is
[tex] \boxed{\bf \: \purple{ Lateral \: Area _{(Cone)} \: = \pi\:rl}}[/tex]
here
l denote slant height
r denote radius
Substituting the value we obtain
[tex] \longrightarrow\tt \: 9.81 = 3.14 \times 1.4 \times l \\ \\ \\ \longrightarrow\tt \:9.81 = 4.396 \times l \\ \\ \\ \longrightarrow\tt \: \cfrac{9.81}{4.396} = l \\ \\ \\ \longrightarrow\tt \: \: l \: = \cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = \cancel\cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = 2.23 \:inch \: \: (approx)[/tex]
Therefore,
Slant height of the cone is 2.23 in .After heating up in a teapot, a cup of hot water is poured at a temperature of
20
8
∘
208
∘
F. The cup sits to cool in a room at a temperature of
6
8
∘
68
∘
F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
T
=
T
a
+
(
T
0
−
T
a
)
e
−
k
t
T=T
a
+(T
0
−T
a
)e
−kt
T
a
=
T
a
= the temperature surrounding the object
T
0
=
T
0
= the initial temperature of the object
t
=
t= the time in minutes
T
=
T= the temperature of the object after
t
t minutes
k
=
k= decay constant
The cup of water reaches the temperature of
18
5
∘
185
∘
F after 3 minutes. Using this information, find the value of
k
k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.
Enter only the final temperature into the input box.
Answer:
k ≈ 0.060T(4) ≈ 178 °FStep-by-step explanation:
The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.
__
Given:[tex]T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)[/tex]
Find:k
T(4)
Solution:Filling in the given numbers, we have ...
185 = 68 +(208 -68)e^(-k·3)
117/140 = e^(-3k) . . . . . subtract 68, divide by 140
ln(117/140) = -3k . . . . . . take natural logarithms
k = ln(117/140)/-3 ≈ 0.060
__
The temperature after 4 minutes is about ...
T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186
T(4) ≈ 178.205
After 4 minutes, the final temperature is about 178 °F.
FOR 100 POINTS
The ratio of boys to girls in Janice’s classroom is 3:5, and there are a total of 32 students in the class. Using complete sentences, explain how you could draw a tape diagram to represent this situation. In your answer, make sure to include what quantity each bar represents.
Answer:
The answer is
→ 18:32
Step-by-step explanation:
The total number of students in the class is 32 students. 3 boys and 5 girls. But wait! Were not done yet.
Boys:
3 x 4 = 12
or
3 + 3 + 3 + 3 = 12
Girls:
4 + 4 + 4 + 4 + 4 = 20
or
4 x 5 = 20
20 + 12 = 32
Hope this helped! :^)
- ✨7272033Alt✨
Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be
34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow
meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
1.65 m
30.4 m
34-55 m
Answer:
Step-by-step explanation:
The height of the tree to the nearest hundredth of a meter is 1.875 meters.
Given that:
Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow.
Let h be the height of khalil h = 1.65 , H be the tree height , L be the length of the tree's shadow L = 34.55 and l be the length of khalil shadow l = 30.4
Using equivalent ratios of heights:
h : H = l : L
H : 1.65 = 34.55 : 30.4
H/1.65 = 34.55/30.4
H = 34.55/30.4 * 1.65
on solving
H = 1.875 meters which is tree height
Therefore the height of the tree to the nearest hundredth of a meter is 1.875 meters.
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To find the probability of two
independent events, you
their
probabilities.
A) add
B) subtract
C) multiply D) divide
Answer:
To find a probability Multiply two independent events.
Each student in Mr. Johnson's sixth-grade class kept track of how many books they read over
summer vacation.
Books read
0
2
4.
6
8
10
What was the median number of books Mr. Johnson's students read?
Answer:
4
Step-by-step explanation:
I got 4 when I answered on IXL for anyone who needs help on it!
Find the slope of the line that passes through the following points. (-3,0) (3, 2)
Answer:
slope: 1/3
Explanation:
[tex]\sf \boxed{\sf slope: \sf \frac{y_2-y_1}{x_2-x_1} }[/tex] where (x1, y1), (x2, y2)
Solve for slope:
insert values
[tex]\rightarrow \sf \dfrac{2-0}{3-(-3)}[/tex]
remove brackets
[tex]\rightarrow \sf \dfrac{2}{3+3}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{2}{6}[/tex]
final answer
[tex]\rightarrow \sf \dfrac{1}{3}[/tex]
Answer:
the slope of the line passing through (-3,0) (3,2) is 1/3
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run. m=change in y/change in x. The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). m=y2-y1/x2-x1. Substitute in the values of x and y into the equation to find the slope. m=2−(0)3−(−3)m=2-(0)3-(-3) Simplify. m=13
Express 34m,5cm,6mm in millimeters
Answer:
1- 34,000 Millimeters in 34 meters
2- 50 Millimeters in 5 Cm
3- 6mm is already in milimeter form
Step-by-step explanation:
1000 Millimeters are in 1 meter so 34,000 millimeters are in 34 meters
10 millimeters are in 1 CM, so 50 millimeters make up 5 cm
Answer:
34m=34x10³mm=34000mm
5cm=5x10mm=50mm
6mm=6mm
???????!:!:!:!:!:?!!!!!???!:!/!/
Answer:
Corral 4
Step-by-step explanation:
we need to divide the area of the corral by the Number of animals In order To know the dedicated space for each animal
Corral 1 :
(50×40)÷110 = 18.181818181818 < 20
Then it doesn’t meet the requirements.
Corral 2 :
(60×35)÷115 = 18.260869565217 < 20
Then it doesn’t meet the requirements
Corral 3 :
(55×45)÷125 = 19.8 < 20
Then it doesn’t meet the requirements
Corral 4 :
(65×40)÷130 = 20
Then It meets the requirements
please help me...asap
Find the number that makes the ratio equivalent to 5:6.
:66
Answer:
55 - you multiplied 6 by 11 to get 66 so you multiply by 5 by 11 to get 55.
Which term describes an idea or a feeling suggested by a word?
Answer: connotation
Step-by-step explanation: everything that a phrase or item implies: the comfort connotations that surrounded that old chair.
Xavier and Carlos have a bet to see who can get more “friends” on a social media side after 1 month. Carlos has 10 more friends than Xavier when they start the competition. After much work, Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends.
a. Write a system of equation that matches the verbal description given below if
c = number of Carlos’ friends and x = number of Xavier’s friends.
The system of equations that describes the situation is given by these two following equations:
c = 10 + x.2c + 3x = 160.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are c and x.
Carlos has 10 more friends than Xavier when they start the competition, hence:
c = 10 + x.
Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends, hence:
2c + 3x = 160.
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_7_ × _ = 744
fill in the blank using the digits from 0 to 9
Step-by-step explanation:
372×2
Hence fill In this order
3 2 2