Answer:
x + 27y - 52 = 0.
Step-by-step explanation:
The slope of the line = (y2-y1)/(x2-x1)
= (1-2)/(25- (-2))
= -1/27
Using the point slope form of a straight line:
y - 2 = -1/27(x- (-2))
y - 2 = -1/27x - 2/27
y = -1/27x - 2/27 + 54/27
y = -1/27x + 52/27
Multiply through by 27:
27y = -x + 52
x + 27y - 52 = 0 <------- Standard form.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
See below ↓↓
Step-by-step explanation:
(a) Most variability
Refers to the class with the biggest range⇒ Class D(b) Highest scores on average
Refers to the class with the highest mean score⇒ Class CHow many electrons can there be in the 5s subshell.
s orbital mentioned
Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10
Hence 5s contains 2electronsRule for electron in nth shell=2n²
Line a passes through the points (-2,1) and (1,-1). Line b passes through the points (-3,2) and (-1,0). DO lines a and b intersect? Explain.
Answer:
You can draw a graph.
(-3,2) |
(-2,1) |
___.__(-1,0)__ | __.____.___
| (1,-1)
|
|
As shown, the lines are intersecting. You can also tell that they are intersecting because if you draw a triangle, they are on the same line. (-3,2) and (-2,1) are directly diagonally from each other.
Hope this helps!
if a meatllic cylinder having volume 2464cm3 melted into a sphere then find the radius of that sphere
Answer:
Given: Volume of cone = 2464 cm3 Height of cone = 12 cm
Step-by-step explanation:
Complete the table for f(x) = x2 + 2x - 3.
x -3 -2 -1 0 1
y=?
Answer:
x | -3 -2 -1 0 1
y | 0 -3 -4 -3 0
Step-by-step explanation:
f(x) = x² + 2x - 3
x = -3 then y = (-3)² + 2(-3) - 3 = 9 - 6 - 3 = 3 - 3 = 0
x = -2 then y = (-2)² + 2(-2) - 2 = 4 - 4 - 3 = 0 - 3 = -3
x = -1 then y = (-1)² + 2(-1) - 1 = 1 - 2 - 3 = -1 - 3 = -4
x = 0 then y = (0)² + 2(0) - 3 = 0 + 0 - 3 = 0 - 3 = -3
x = 1 then y = (1)² + 2(1) - 3 = 1 + 2 - 3 = 3 - 3 = 0
A bakery sells white loaves and brown loaves.
One week, the ratio of the number of white loaves sold to the number of brown loaves
sold was 4:5
The bakery sold a total of 1584 loaves that week.
Work out how many brown loaves they sold.
Answer:
880 brown loaves
Step-by-step explanation:
Create a ratio of brown loaves to total loaves by adding the the current ratio, 4:5 together.
4 + 5 = 9.
Now create the new ration of brown loaves to total loaves.
5:9
Next make a proportion using brown (numerator) to total (denominator).
Then cross multiply and divide.
[tex]\frac{5}{9} = \frac{b}{1584}[/tex]
[tex]9b = 7920\\\frac{9b}{9} =\frac{7920}{9} \\b=880[/tex]
Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Barbie selects a coin and puts it back in the jar and then Darren selects a coin from the jar. Is this a set of independent or dependent events?
Answer:
This is a set of independent events.
A piece of of blue yarn is 5 3/10 yards long. A piece of pink yard is 4 times as long as the blue yard. How much longer is the pink yard than the blue yard.
A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 1.5cm. If silver is priced at $8.00 per, how much will the silver cost to make one solid sphere?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.
Volume
4/3πr³4/3π(1.5)³4/3π(3.375)4.5π14.13cm³Cost per cm³=$8
Total cost
14.13(8)$113.04Answer:
$113.04
Step-by-step explanation:
Formula
[tex]\sf \textsf{Volume of a sphere}=\dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]
[tex]\begin{aligned}\textsf{Given}: \quad \sf r & =\sf 1.5\:cm\\ \pi & = \sf 3.14 \end{aligned}[/tex]
[tex]\begin{aligned}\implies \sf \textsf{Volume of silver globe} & =\sf \dfrac43 \cdot 3.14 \cdot (1.5)^3\\\\& =\sf 14.13 \:cm^3\end{aligned}[/tex]
[tex]\textsf{Given}: \quad \sf Cost\:of\:silver=\$ 8.00\:per\:cm^3[/tex]
[tex]\begin{aligned}\implies \textsf{Cost of silver for one globe} & =\textsf{Volume of globe} \times \sf \$ 8.00\\ & =\sf 14.13 \times \sf \$ 8.00\\& =\sf \$ 113.04\end{aligned}[/tex]
A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will it travel in 3/4 of an hour
Answer:
4.5 miles
Step-by-step explanation
Figure out how far the hot air balloon travelled in 1 hour - 3 hours can be divided by 3 for 1 hour, so do the same for the miles - 18 / 3 = 6
So basically, the hot air balloon travelled 6 miles in 1 hour.
Now, you can work out 3/4 of 6 for 3/4 of 1 hour - 3/4 * 6 = 4.5 miles
:)
graph the function y=x-10
a hen average of 5.5 eggs each week if she lays a certain numbers a week
Answer:
Step-by-step explanation:
question doesnt make sense
Find value of a and b.
Answer:
a = 65
b = 65
Step-by-step explanation:
a = 65 becasue of corresponding angles.
a and b are opposite angles of a parallelogram.
b = a = 65
Answer:
a=65° b=65°
Step-by-step explanation:
from the diagram,
b=65° (alternative angles are equal)
a=65° (corresponding angles are equal)
What value of x is in the solution set of 4x - 12 S 16 + 8x?
You gave little context, so here is a few solutions.
POSSIBLE #1:
assuming s is a variable
---> Simplify [tex]12S[/tex] × [tex]16[/tex] to [tex]192S[/tex]
[tex]4x-192S+8x[/tex]
---> Collect like terms.
[tex](4x+8x)-192S[/tex]
---> Simplify.
[tex]12x-192S[/tex]
POSSIBLE #2: (assuming s is not relevant)
Simplifying
4x + -12 = 16 + 8x
Reorder the terms:
-12 + 4x = 16 + 8x
Solving
-12 + 4x = 16 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
-12 + 4x + -8x = 16 + 8x + -8x
Combine like terms: 4x + -8x = -4x
-12 + -4x = 16 + 8x + -8x
Combine like terms: 8x + -8x = 0
-12 + -4x = 16 + 0
-12 + -4x = 16
Add '12' to each side of the equation.
-12 + 12 + -4x = 16 + 12
Combine like terms: -12 + 12 = 0
0 + -4x = 16 + 12
-4x = 16 + 12
Combine like terms: 16 + 12 = 28
-4x = 28
Divide each side by '-4'.
x = -7
Simplifying
x = -7
If there are any other ways to solve this please add more context in the comments below this answer! Hope this was helpful! Have a marvelous day/night!
How do i solve this?
The painting shown on the right has an area of 300 in^2. what is the value of x?
Answer: X = 10.20240940...
Step-by-step explanation:
x(2x + 9) = 2x^2 + 9x
2x^2 + 9x = 300
- 300 ON BOTH SIDES
2x^2 + 9x - 300 = 0
SOLVE USING THE QUADRATIC FORMULA
x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)
When all the values are plugged in:
When using "+" in the equation you should get:
x = 10.20240940…
When using "-" in the equation you should get:
x = −14.70240940…
Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...
YOUR ANSWER IS: x = 10.20240940...
Determine co-ordinates of the mid point of a line segment with endpoints at: L(12,8) and M(18,2)
Step-by-step explanation:
the formula for the mid point is:
{(x1 + x2)/2 , (y1 + y2)/2}
so using the formula we get:
(15, 5)
also are you sure that the question wants the midpoint? since the answer is not included in the choices
Answer:
C(15,3)
Step-by-step explanation:
Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]
= [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]
= 15,5 (which is closest to C, i think there is a mistake in the question as there is only one formula to find midpoint so y coordinate has to be 5)
A movie theater is open x hours Monday through Thursday and y hours Friday through Sunday. Write an algebraic expression that represents the number of hours per week the theater is open
Answer: 4×+3y
Step-by-step explanation:
1. There are 4 days from Mon to Thurs. Since x hours are opened on each of the 4 days, we get 4x.
2. There are 3 days from Fri to Sun. Since y hours are opened on each of the 3 days, we get 3y.
In a week, it will just be the sum of 1 and 2, which is 4x+3y
Find (f+g)(x) if f(x)=2√m and g(x)= 3√4m
Answer Options:
1. (f+g)(x)= 11√m
2. (f+g)(x)= -4√m
3. (f+g)(x)= 8√m
4. (f+g)(x)= -7√m
Answer: 3
Step-by-step explanation:
Find the area of the figure.
8 ft
10 ft
O a
Ob
80.0.42
105.1.12
50.3.12
25.3.12
С
8 .
d
Answer:
b because you add the 8 by 2 because 10 is too long and 8 is perfect size
Help with this question please
Answer:
3y is the GCF
Step-by-step explanation:
the lowest value is -9y, so it can't be a value in the exponents
What is the approximate circumference of the circle?
What is the height of the parallelogram?
What would be the approximate length of the parallelogram if the base were completely straight?
What would make the estimation of the circle’s area more precise?
What is the area of the circle used to create the parallelogram-like shape to the nearest tenth of a square unit?
1. 18.8 units
2. 3 units
3. 9.4 units
Breaking the circle into more sectors
4. 28.3 square units1. The circumference of circle is 18.8 units
2. The height of parallelogram is 3 unit.
3. The approximate length of the parallelogram if the base were completely straight is 9.4 unit
4. The estimation is easier by breaking down into sector.
5. Area of Circle is 28. 26 unit²
What is Circumference?The circumference of the circle is 2πr where is the radius of the circle.
1. The circumference of circle
= 2πr
= 2 x 3.14 x 3
= 18.8 units
2. From Figure the height of parallelogram is 3 unit.
3. The approximate length of the parallelogram if the base were completely straight
= 18.8 / 2
= 9.4 unit
4. The estimation is easier by breaking down into sector.
5. Area of Circle
= πr²
= 3.14 x 9
= 28. 26 unit²
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Which angles are corresponding angles
Answer:
second option is correct onee
Step-by-step explanation:
mark me brainliest
Right triangles 1,2 and 3 are given to its all their angle measures and approximate side lengths
Choose one answer:
4.5 units
5.4 units
9.1 units
10.9 units
Answer:
5.4 units
Step-by-step explanation:
From the figure ,it's clear that sin(50) = PQ/7
Then
PQ = 7×sin(50) = 5.362311101833
Therefore the approximate length of PQ I saw 5.4
Multiple choice math question. Question #15
Answer:
that would also be car 1, because in a rotation like that its like you do a spin and come back to the same position, that is a 360 rotation.
Answer:
the answer is car 1
Step-by-step explanation:
How can you add eight fours together so the total adds up to 500?
Answer:
you can try Multiplying 8 over 1 and 4 over1
Enola owns a small business selling ice-cream. She knows
customers paid cash, 76 customers used a debit card, and 10 customers used a credit
card. .
Based on these results, express the probability that the next customer will pay with
something other than a credit card as a decimal to the nearest hundredth.
the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.
To calculate the probability that the next customer will pay with something other than a credit card, we need to know the total number of customers who paid cash or used a debit card.
The total number of customers who paid cash or used a debit card is the sum of the customers who paid cash and those who used a debit card:
Total customers who paid cash or used a debit card = customers who paid cash + customers who used a debit card = 76 + 10 = 86
Therefore, the probability that the next customer will pay with something other than a credit card is:
P = Total customers who paid cash or used a debit card / Total number of customers
P = 86 / (76 + 10 + 1) (adding 1 to account for the next customer)
P = 0.93
So the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.
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Write a formula for function h in terms of function f.
h(x)=
Answer:
h(x) = f(x + 12) - 4Step-by-step explanation:
According to the graph, the function h(x) is the translation of the function f(x) to the right and down.
Compare the coordinates of the vertices to write the formula
(- 6, 11) → (6, 7)x = 6 - (-6) = 12y = 7 - 11 = - 4The formula is
h(x) = f(x + 12) - 4Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
The vertex is the turning point (stationary point or minima/maxima) of the graph.
To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.
Vertices of given functions:
Vertex of f(x) = (-6, 11)Vertex of h(x) = (6, 7)Differences
x-values: 6 - (-6) = 12y-values: 7 - 11 = -4Therefore, y = f(x) has been:
translated 12 units righttranslated 4 units downTranslations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
f(x) translated 12 units right = f(x - 12)f(x - 12) translated 4 units down = f(x - 12) - 4So the formula for h(x) in terms of f(x) is:
h(x) = f(x - 12) - 4
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Factor 10a^3 b ^2 −5a^2 b+15a^2 b^3 PLS HELP IM STUCKK
[tex]10a^3b^2-5a^2b+15a^2b^3\\\\=5a^2b(2ab-1+3b^2)[/tex]
An airplane flies with a constant speed
of 640 km/h. How long will it take to
travel a distance of 640 kilometers?
The time it would take to travel a distance of 640 kilometers is 1 hour
Speed, distance and timeFrom the question, we are to determine how long it would take the airplane to travel a distance of 640 kilometers.
From the give information,
The airplane flies with a constant speed of 640 km/h.
Speed = 640 km/h
Distance to be covered = 640 km
From the formula,
[tex]Speed = \frac{Distance}{Time}[/tex]
We can write that
[tex]Time= \frac{Distance}{Speed}[/tex]
∴ [tex]Time = \frac{640 \ km}{640 \ km/h}[/tex]
Time = 1 hour
Hence, the time it would take to travel a distance of 640 kilometers is 1 hour
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