A circle is a curve sketched out by a point moving in a plane. For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.
What is the equation of the circle with radius r units, centred at (x,y)?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:
(x-h)² + (y-k)² = r²
Given the equation of the circle is (x-7)²+(y+4)²=81. The equation can be rewritten as,
(x-7)² + [y-(-4)]² = 9²
Hence, For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.
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Sue is traveling to Florida for vacation. Her flight takes off and the plane travels at a constant speed of 337 miles per hour. It takes her 5 hours to get to her destination. How many miles did she travel?
PLEASE HELP!!!
Answer:
Sue traveled 1,685 miles.
Step-by-step explanation:
337 x 5
(300 x 5) + (30 x 5) + (7 x 5)
1,500 + 150 + 35
1,650 +35
1,685
How many full cases and additional items are needed to fulfill the order
There are 13 full cases and 2 additional items needed to fulfill the order
How to determine the full cases and additional items?The given parameters are:
Items ordered = 80Items per case = 6The number of cases is:
Case = 80/6
Evaluate
Case = 13 Remainder 2
This means that:
The full case is 13 and the additional item is 2
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You're trying to save to buy a new $150,000 Ferrari. You have $35,000 today that can be
invested at your bank. The bank pays 4.0 percent annual interest on its accounts. How
long will it be before you have enough to buy the car?
Multiple Choice
O
37.61 years
36.86 years
Answer:
37.61 years
Step-by-step explanation:
I am assuming this is compound interest
35 multiplied by 1.04 to the power of 36.86 does not generate enough money.
35 multiplied by 1.04 to the power of 37.61 does.
Answer:
37.61 yrs
Step-by-step explanation:
FV = future value = 150 000
PV = present value = 35 000
i = decimal interest = .04
annual interest periods = n
formula FV = PV ( 1 + i)^n plug in the values and solve for 'n'
150 000 = 35000 ( 1 + .04)^n
150000/35000 = (1 + .04)^n take log of both sides
.632 = n log1.04
n = years = 37.105 years
T.O. has a theory that as you get older you start to slow down and therefore that will cause you to have lower self-esteem.
Answer:
The winter evening settles down
With smell of steaks in passageways.
Six o'clock.
The burnt-out ends of smoky days.
And now a gusty shower wraps
The grimy scraps
Of withered leaves about your feet
And newspapers from vacant lots;
The showers beat
On broken blinds and chimney-pots,
And at the corner of the street
A lonely cab-horse steams and stamps.
And then the lighting of the lamps.
Alfred Tennyson - Summer Night
Alfred Tennyson was another poet who made great use of visual imagery. See if you can get a clear picture of the summer night he describes in this poem "Summer Night:"
Now sleeps the crimson petal, now the white;
Nor waves the cypress in the palace walk;
Nor winks the gold fin in the porphyry font:
The firefly wakens: waken thou with me.
Now droops the milk-white peacock like a ghost,
And like a ghost she glimmers on to me.
Now lies the Earth all Danaë to the stars,
And all thy heart lies open unto me.
Now slides the silent meteor on, and leaves
A shining furrow, as thy thoughts in me.
Now folds the lily all her sweetness up,
And slips into the bosom of the lake.
So fold thyself, my dearest, thou, and slip
Into my bosom and be lost in me.
William Wordsworth - I Wandered Lonely as a Cloud
Next is an excerpt from "I Wandered Lonely as a Cloud" by William Wordsworth. The first and last stanzas show a progression of the poet's emotions using visual imagery.
I wandered lonely as a cloud
That floats on high o'er vales and hills,
When all at once I saw a crowd,
A host, of golden daffodils;
Beside the lake, beneath the trees,
Fluttering and dancing in the breeze.
For oft, when on my couch I lie
In vacant or in pensive mood,
They flash upon that inward eye
Which is the bliss of solitude;
And then my heart with pleasure fills,
And dances with the daffodils.
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Theodore Rothke - My Papa’s Waltz
This famous poem by Theodore Rothke is an excellent example of olfactory and tactile imagery with plenty of visual imagery thrown in for good measure. The effect is powerful.
The whiskey on your breath
Could make a small boy dizzy;
But I hung on like death:
Such waltzing was not easy.
We romped until the pans
Slid from the kitchen shelf;
My mother’s countenance
Could not unfrown itself.
The hand that held my wrist
Was battered on one knuckle;
At every step you missed
My right ear scraped a buckle.
You beat time on my head
With a palm caked hard by dirt,
Then waltzed me off to bed
Still clinging to your shirt.
William Carlos Williams - This Is Just to Say
"This Is Just to Say" is an amazing example of gustatory imagery or imagery involving taste. There’s more going on beneath the surface of this poem, but the vivid description of taste draws the reader in.
I have eaten
the plums
that were in
the icebox
and which
you were probably
saving
for breakfast
Forgive me
they were delicious
so sweet
and so cold
Step-by-step explanation:
Mrs Rohit gave a total of $64.90 to her three sons. The eldest son receive $4.30 more than the youngest son. The second son received $7.80 less than the youngest son. How much did the eldest son received?
NO ALGEBRA PLEASE! I HAVENT LEARN IT YET!
Answer: $25.90
Step-by-step explanation:
We will have x as the youngest son's share, (the youngests son's share is the basis)
(x + 4.30) as the eldest son's share, (the eldest received 4.30 more than the youngest)
(x - 7.80) as the second son's share, (the second received 7.80 less than the youngest)
and 64.90 as their share altogether.
To find the youngest son's share:
(x) + (x + 4.30) + (x - 7.80) = 64.90
x + x + 4.30 + x - 7.80 = 64.90
x + x + x = 64.90 - 4.30 + 7.80 (group all of the like terms together. variables with variables, numbers with numbers. 4.30 became negative since it was moved to the other side, the same happened with 7.80 since it was a negative, it became a positive when it moved to another side)
Solve...
x + x + x = 64.90 - 4.30 + 7.80
3x = 68.40 (divide both sides by 3)
[tex]\frac{3x}{3} = \frac{68.40}{3}[/tex]
x = 22.80
(The youngest son's share is $22.80)
To get the eldest son's share:
x + 4.30 (substitute x since it has already been solved)
22.80 + 4.30 = 27.10
The eldest son's share is $27.10
If B is 60% more than A, then A is
A. 37.5% less than B.
B. 37.5% of B
C. 60% less than B
D. 60% of B
Answer:
37.5% less than B
Step-by-step explanation:
It is given that B is 60% more than A.
A (160%) = BA = B / (160%)A = B / (8/5)A = 5B/8A = 0.625BA = (62.5%) BSince A is 62.5% of B, it is 37.5% less than B.
Answer:
A. 37.5% less than B
Step-by-step explanation:
We can write an equation to model this:
B being 60% more than A means that:
B=0.6A+1A
B=1.6A
Let's isolate A.
A=B/1.6
Multiply the top and bottom by 10 to get whole numbers
A=10B/16
Simplify
A=5B/8
5/8 = 62.5%
A=0.625B
Therefore, A is 62.5% of B
This means that A is 37.5% less than B.
If a figure has a line of symmetry, that means what?
The two sides of the shape are similar.
O The two sides are different shapes.
Both sides are exactly the same.
The two sides are different sizes.
Answer:
both sides are the same
Step-by-step explanation:
in descending order: 0.03, 1.03, 0.13, 1.13
Answer:
1.13, 1.03, 0.13, 0.03
.....
Answer:
1.13, 1.03, 0.13, 0.03.
Step-by-step explanation:
Highest value is 1.13 and lowest is 0.03.
The volume of a cone of height hand base radius r is given by:
The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.
Answer:
The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.
Step-by-step explanation:
hope it helps you :)
Can you guys help me please :(
Step-by-step explanation:
ask me if you don't understand
Solve the system by substitution.
y= -6x-7
y= -7x
Answer:
x = 7
y = -49
Step-by-step explanation:
Solving system of equation by substitution method.y = -6x - 7 ---------------(I)
y = -7x -------------------(II)
Substitute y = -7x in equation (I)
-7x = -6x - 7
-7x + 6x = -7
-x = -7
Multiply both sides by (-1)
[tex]\sf \boxed{\bf x = 7}[/tex]
Substitute x =7 in equation (II)
y = -7*7
[tex]\sf \boxed{\bf y = -49}[/tex]
Answer:
X = 7 Y = -49
Step-by-step explanation:
Y= -6 X -7---------(1)
Y= -7 X ------------(2)
using substitution method, substitute equation two into equation one-7 X = -6X -7
-7 X+6X = -7
- X = -7
cancelling the - sign on bothsides
X = 7
put X = 7 into equation (2)
Y = -7(7)
Y = -49
therefore, X = 7 Y= -49
Which number does not belong with the other three?
Answer:
Option D
Step-by-step explanation:
Option D is not proper scientific notation, as the exponent is not on the 10
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.
Find the revenue function R when x energy drinks are sold.
16. (1.7 • 10^-4)(5•10^-5)
A. 8.5 • 10^-9
B. 8.5 • 10^20
C. 6.7 • 10^-9
D. 6.7 • 10^20
Britney is buying a shirt and a hat at the mall. The shirt costs $32.61, and the hat costs $19.82. If Britney gives the sales clerk $100.00. how much change should she receive? (Ignore sales tax.)
A. $44.47
B. $57.32
C. $52.43
D. $47.57
Answer:
D. $47.57
Step-by-step explanation:
Add up the cost of the two items
$32.61 + $19.82 = $52.43
subtract the cost for the $100
100-52.43 = 47.57
The change is D. $47.57
Answer:
$47.57
Step-by-step explanation:
cost of the t-shirt = $32.61
cost of the hat= $19.32
total cost of items she bought= 32.61+19.82= $52.43
Amount of change she received= 100-52.43= $47.57
f(x)=3x=2 what is f(5)?
Answer:
F(x) = 3x × 2
F(5) = 3(5) × 2
F(5) = ( 3 × 5 ) × 2
F(5) = 15 × 2
F(5) = 30
F(x) = 3x x 2
F(5)= 3(5) × 2
F(5) = 15 × 2
F(5) = 30
Answer by NinaJuan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, nine of them are a kind that his mother would want. If Juan chooses one randomly, what is the probability that he will choose a kind that his mother would want?
A. 40%
B. 30%
C. 0.3%
D. 9%
Answer:
B
Step-by-step explanation:
because 30% out of 30 is 9
Someone help me with this question please
Answer:
0.6.
Step-by-step explanation:
Sin A = opposite side / hypotenuse
= 3/5 = 0.6.
Answer: 0.6.
Step-by-step explanation:
Sin A = opposite side / hypotenuse
= 3/5 = 0.6.
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?
1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5
Answer:
0.85x + 1.29y < 5
Step-by-step explanation:
x and y will be the numbers of grapes and potatoes he purchased.
Solve the inequations
3(1-2x) > 3-6x
Answer:
no solutions
Step-by-step explanation:
3(1-2x) > 3 -6x, distribute multiplication by 3 over the subtraction
3 - 6x > 3 - 6x, because the left side is the same as the right side
this statement is never true, therefore this inequality has no solutions.
How many solutions are there to the equation below?
4(x - 5) = 3x + 7
Ο Α. Ο
O B. Infinitely many
O c. 1
PLS HURRY
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
A change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures. An enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
This can be understood with the following points:
Scale factor is the proportion between the actual and mapped dimensions of a construction.The change in dimensions of the building lead to the change in scale factor.This is happened to preserve their relationship.Thus, a change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.
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2 x - 5 + 7 y - 3 = 9 x - 1 - y -8 Solve For X AND Y (SHOW WORK PLEASE)
(Just so people can get points :D)
Answer:
[tex]\large\boxed{\sf x = \frac{8y+1}{7} }[/tex]
[tex]\large\boxed{\sf x = \frac{7x-1}{8} }[/tex]
Group the Variable's:
2 x - 5 + 7 y - 3 = 9 x - 1 - y -8
2x -9x + 7y +y = -1 -8 +5 + 3
-7x + 8y = -1
From this find x and y
For X
-7x + 8y = -1
-7x = -1 -8y
7x = 8y + 1
x = (8y +1)/7
For Y
-7x + 8y = -1
8y = -1 +7x
y = (7x -1)/8
Meg buys 42 tulip bulbs. She plants 18 bulbs in her front yard. She plants the rest of the
bulbs in 6 pots. Meg plants the same number of bulbs in each pot.
How many bulbs are in each pot?
Answer:
4 bulbs
Step-by-step explanation:
could you help me with 15 please?
Answer: 11 pounds
Step-by-step explanation:
Total weight of the first 8 backpacks
8*14
= 112 pounds
Total weight of the second 12 backpacks
12*9
= 108 pounds
Total weight of the whole 20 backpacks
112+108
= 220 pounds
therefore the mean weight of the 20 backpacks is
220 / 20
= 11 pounds
find g(-3) g(2) g(4)
Answer:
[tex]\frac{1}{2}[/tex] , 2 , 4
Step-by-step explanation:
x = - 3 ≠ 2 , then
g(- 3) = [tex]\frac{1}{2}[/tex] × (- 3)² - 4 = [tex]\frac{1}{2}[/tex] × 9 - 4 = [tex]\frac{9}{2}[/tex] - 4 = [tex]\frac{1}{2}[/tex]
x = 2 then g(2) = 2
x = 4 ≠ 2 , then
g(4) = [tex]\frac{1}{2}[/tex] × 4² - 4 = [tex]\frac{1}{2}[/tex] × 16 - 4 = 8 - 4 = 4
What is the mean absolute deviation.
Answer:
1.56 rounded 1.6
Step-by-step explanation:
MAD (Mean Absolute Value):
step 1: Find the mean of the data
formula: sum of the data set / total number of terms
sum of the data set: 4 + 9 + 4 + 5 + 3 = 24
total number of terms: there is 5 numbers in the data set
mean = 24 / 5
mean = 4.8
step 2: Find the distance between each data and mean.
3, 4, 4, 5, 9
Distance between 3 and 4.8 is 1.8 (4.8 - 3 = 1.8)
Distance between 4 and 4.8 is 0.8 (4.8 - 4 = 0.8)
Distance between 4 and 4.8 is 0.8 (4.8 - 4 = 0.8)
Distance between 5 and 4.8 is -0.2 (4.8 - 5 = -0.2)
Distance between 9 and 4.8 is -4.2 (4.8 - 9 = -4.2)
step 3: take the absolute value of any negative numbers
|-0.2| and |-4.2| is 0.2 and 4.2
step 4: add all the distances
1.8 + 0.8 + 0.8 + 0.2 + 4.2 = 7.8
step 5: divided it by the number of data
7.8 / 5 = 1.56
Let me know if you have any questions !
please help out asap, will give brainlist crown
Answer:
4 is an interior angle1,2,3 are exterior angles3. 2x+12+3x-7=360
5x+5=360
5x=360-5
x=355/5
x=71
for exterior
2x+12=360
2x=360-12
x=348/2
x=174
Step-by-step explanation:
hope this will help you
Tanner bought 6 chocolates. Maggie bought c times as many chocolates as Tanner. Write an expression that shows how many chocolates Maggie bought.
Answer:
The equation that we most use to find how many chocolates Maggie bought would be:
6 x c = how many chocolates Maggie bought
Maggie bought c times as many chocolates as Tanner. This means to find how many chocolates Maggie bought we would multiply the c (Being how many times more chocolates Maggie bought) by 6 to find the number of chocolates Maggie bought`.
For example:
If the question stated Maggie bought 4 times as many chocolates as Tanner, the equation would be; 6 x 4 = how many chocolates Maggie bought. Which would be 24 chocolates.
Step-by-step explanation:
Have a great rest of your day
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In a particular class of 28 students, 12 are men. What fraction of the students in the class are men?
Answer:
12/28
Step-by-step explanation:
the answer is 12/28 because 12 are men and the rest are mos likely girls,
Answer:
12 / 28
Step-by-step explanation:
Given:
- 28 students total
- 12 are men
so 12 out of the 28 are men which is the same as 12 / 28