Answer:
[x - 5]² + [y + 7]² = 6²
Step-by-step explanation:
It should be noted:
Equation of circle: (x - h)² + (y - k)² = r²"h" represents the x coordinate of the center point, "k" represents the y coordinate of the center point, and "r" represents the radius of the circle.
⇒ h = 5; k = -7; r = 6When the values are substituted:
[x - 5]² + [y - (-7)]² = 6²
⇒ [x - 5]² + [y + 7]² = 6² = 36
How is y = x + 4.5 related to y = x ?
Answer: the graphs of the two lines are ||.
Step-by-step explanation: Notice that in this problem, we have
the parent graph y = x and the equation y = x + 4.5.
Notice that both of these equations have the same slope.
When two equations have the same slope and
have different y-intercepts, the lines are ||.
Answer :it related because it is a slope form.
Step-by-step explanation:
The price of a gallon of gasoline dropped by $0.08 on Wednesday and by 0.25 of that amount on Thursday. Which best represents how the price of a gallon of gasoline changed on Thursday? –0.32 –0.02 0.02 0.32
Answer:
- 0.32
Step-by-step explanation:
because if you add 0.08 and 0.25 you get 0.32 but then you are subtracting that from the original price so I think it would be - 0.32
Answer:
-0.32
Step-by-step explanation:
I just answered that question
The volume of this triangular prism is 32 cubic inches. What is the value of d?
Answer:
Divide the volume by the length of the prism to get the area of the face:
468/13 = 36 square yards.
The area of the face ( triangle) is 1/2 x base x height
Replace with what you have:
36 = 1/2 x 9 x g
Multiply both sides by 2 to remove the 1/2:
72 = 9 x g
Divide both sides by 9 to find g:
g = 72 /9
g = 8 yards.
Bianca took out a $2,600 unsubsidized stafford loan. she will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. the loan has an interest rate of 6.2%, compounded monthly. how much will she have to pay monthly to avoid interest capitalization? a. $12.40 b. $19.29 c. $13.43 d. $17.36
The total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount of annual payment is given as,
[tex]A_p=P\times\left(\dfrac{r}{1-1+r}\right)^t\\[/tex]
Here, P is principal amount, the rate is r and time period is t.
Bianca took out a $2,600 unsubsidized stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished.
Total months in ten years,
[tex]t=10\times12\\t=120[/tex]
The loan has an interest rate of 6.2%, compounded monthly. The interest rate is,
[tex]r=0.062[/tex]
Put the values in the above formula as,
[tex]A_p=(2600)\times\left(\dfrac{0.062}{1-1+0.062}\right)^{120}\\A_p=161.32[/tex]
Total payment paid by her in 1 year of time is,
[tex]M_p=\dfrac{161.32}{12}\\M_p=13.43[/tex]
Thus, the total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
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Dernea gardening sells wheelbarrows. a wheelbarrow costs $6.94 to produce and it sells for $42.50. the company employs two salespeople, each of whom earns a different commission per wheelbarrow sold, as shown in the table below. a 3-column table with 2 rows. column 1 is labeled salesperson with entries travis, gary. column 2 is labeled sold with entries 36, 48. column 3 is labeled commission/sale with entries 7 dollars and 50 cents, 10 dollars and 60 cents. the company's expenses last month, not counting production costs or commissions, totaled $524.24. how much profit did dernea gardening make from the sales of wheelbarrows last month? a. $3,570 b. $1,886 c. $1,684 d. $2,208
The profit did Dernea gardening make from the sales of wheelbarrows last month is $1684.
What is profit?Profit is the the difference of the selling price of an item and the cost of the item to produce and sell it.
Dernea gardening sells wheelbarrows.
The company employs two salespeople, each of whom earns a different commission per wheelbarrow sold, as shown in the table below.
A 3-column table with 2 rows. column 1 is labeled
Salesperson Sold Commission/SaleTravis, 36 $7.50Gary. 48 $10.60The Travis sold by company is 36 with commotion $7.50 and the Gray sold by company is 48 with commotion $10.60. Thus, the total profit of the company is,
[tex]P=36\times7.50+48\times10.60\\P=778.8[/tex]
The company's expenses last month, not counting production costs or commissions, totaled $524.24.
A wheelbarrow costs $6.94 to produce. Thus, the cost price to produce 84 (36+48) wheelbarrow is,
[tex]C=6.94\times84=582.96[/tex]
Total cost of company to sell a wheelbarrow are,
[tex]C=778.8+524.24+582.96=1886[/tex]
Wheelbarrow sells for $42.50. Thus, the selling price of 84 (36+48) wheelbarrow is,
[tex]C_s=42.50\times84\\C_s=3570[/tex]
Hence, the profit will be,
[tex]P=3570-1886\\P=1684[/tex]
Thus, the profit did Dernea gardening make from the sales of wheelbarrows last month is $1684.
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Answer:
c. $1,684
Step-by-step explanation:
is this relation A function? (a lot of points i’ll give)
a game show has 70 categories. There are 30 points in each categories. how many points are there in total on the game show?
. A driver travels 688 miles in 2 hours. How many miles would this person
drives in 4 hours?
Answer:
1,376
Step-by-step explanation:
688 • 2 = 1,376
Answer:IT MATH
Step-by-step explanation:
Susie made 4 gallons of punch for her party. how many cups of punch did she make? do not give me a link just tell me.
Answer:
32 is your answer
Step-by-step explanation:
simplify it down by dividing what you had in the gallon that came from 16 oz
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
2x² - 12 + 8x
Setting up the equation:
Let that [SOMETHING] be L
⇒ 3x² + 8x - 16 - (L) = x² - 4To avoid confusion, let's use parenthesis:
⇒ (3x² + 8x - 16) - (L) = (x² - 4)Simplifying the equation:
Subtract "(3x² + 8x - 16)" both sides to isolate "(L)":
⇒ (3x² + 8x - 16) - (3x² + 8x - 16) - (L) = (x² - 4) - (3x² + 8x - 16)⇒ -(L) = (x² - 4) - (3x² + 8x - 16)Take the "-" in the parenthesis:
⇒ -(L) = (x² - 4) + (-3x² - 8x + 16)Open the parenthesis:
⇒ -L = x² - 4 - 3x² - 8x + 16Combine like terms and simplify:
⇒ -L = x²(1 - 3) + (-4 + 16) - 8x⇒ -L = x²(-2) + (12) - 8x⇒ -L = -2x² + 12 - 8xPut both terms in parenthesis:
⇒ -(L) = (-2x² + 12 - 8x)Multiply both sides by -1:
⇒ (L) = -(-2x² + 12 - 8x)⇒ L = 2x² - 12 + 8xThus, the [SOMETHING] is 2x² - 12 + 8x.
Answer:
[tex]2x^2+8x-12[/tex]
Step-by-step explanation:
[tex]P=3x^2+8x-16[/tex]
[tex]= x^2-4[/tex]
The Quantity Subtracted
Let the Quantity be called "y"
[tex]P=y\\3x^2+8x-16-y=x^2-4[/tex]
Bring together like terms
[tex]y= 3x^2-x^2+8x-16+4\\y= 2x^2 + 8x-12[/tex]
39.4 is what percent of 64 round to the nearest 100
Answer:61.7
Step-by-step explanation:
maths
Answer:
61.56%
Step-by-step explanation:
Find 39.4 out of 64 as a decimal:
Convert decimal to percent:
0.615625 × 100 = 61.5625% (Move decimal 2 places to the right)
61.56% (Round to the nearest hundredth)
1) Explain what opposite reciprocals means. Then explain how it is important/relevant in geometry.
Answer:
Step-by-step explanation:
a
Opposite means add a negative sign in front of it.
The opposite of 6 is -6,
7 --> -7,
-10 --> 10.
Reciprocal means flip it.
Reciprocal of 6 is 1/6
of 7 is 1/7
of -10 is -1/10
Opposite reciprocal means add a negative sign AND flip it.
6 --> -1/6
7 ---> -1/7
-10 --> 1/10
In geometry, perpendicular lines on a graph have opposite reciprocal slopes.
100 points!!!!! How many more brick houses did Company N build than Company M?
Answer:
company N built 10 more brick houses
Step-by-step explanation:
if company M builds 2x as many wooden houses as the do brick houses that would be 1/2 of 100 which is 50, and the ratio of wood houses to brick houses for company M is 5:3, 5x20=100 3x20=60. 60-50=10
Answer:
10 houses
Step-by-step explanation:
If Company M builds half as many brick houses as wood houses, then if this company builds 100 wood houses, it builds 50 brick houses.
For Company N, create a linear equation showing the relationship between wood houses (x) and brick houses (y). For every increase in x by 5, y increases by 3:
y = (3/5)x
Therefore, when x = 100: y = (3/5)(100) = 60
So Company N builds 60 brick houses when it builds 100 wood houses.
Company N - Company M = 60 - 50 = 10 houses
Therefore, Company N built 10 more brick houses than Company M.
Another model rocket is accelerating at a rate of 3m/s squared with aforce of 1N. What is the mass of the rocket? plssssss hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! like right now plss
ty
Answer:
0.33333333333e3
Step-by-step explanation:
e = infinity
Can anyone answer this please?
-16/11
Step-by-step explanation:
16/3 %(- 11/3)
16/3 ×3/-11 = - 16/11
Can anyone please help me!! D: :D
Answer:
4
Step-by-step explanation:
18/6=3
24/6=4
42/6=7 ...
Sebastian goes out to lunch. The bill, before tax and tip, was $8.75. A sales tax of 5% was added on. Sebastian tipped 17% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:
1.56
Step-by-step explanation:
just do 8.75x1.05, then multiply that number by .17.
please mark as brainlest.
Find the coordinates of the midpoint of
segment XY for X(-2, 3) and Y(-8, -9).
Answer:
use formula
(x,y) =[ (x1+x2)/2 ,(y1+y2/2)]
=[(-2-8)/2, (3-9)/2]
=(-10/2 ,-6/2)
=(-5,-3)
What is the area of this parallelogram?
Please help :)
Answer:
D
Step-by-step explanation:
Remark
We will change the dimensions to decimals
h = 3 7/8 = 3.875
b = 6 1/2 = 6.5
Formula
Area = h * b
Solution
Area = 3.875 * 6.5
Area = 25.1875
0.1875 = 3/16
Answer: Area = 25 3/16
Answer: D
Find the area of the circle. Round your answer to the nearest hundredth. The area is about square inches.
Answer:
I believe it is 201.06 square inches
Answer:
201.06
Step-by-step explanation:
The area of a circle is pi * r^2. So, 3.14 * 8^2. So, it would be 201.06 (rounded). Hope this helps!
Ecologists measure the body length and wingspan of 127 butterfly specimens caught in a single field.
The wingspan of 127 butterfly specimens is an illustration of the line of best fit
The equation of the line of best fit is y = 3xThe slope means that as the wingspans increase and lengths of these butterflies increaseHow to determine the equation of the line?From the line of best fit of the graph (see attachment), we have the following points
(x,y) = (0,0) and (20,60)
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{60}{20} * x[/tex]
[tex]y = 3x[/tex]
Hence, the equation of the line of best fit is y = 3x
Interpret the slopeIn (a), we have the slope to be:
Slope = 3
The slope (3) is greater than 0.
This means that as the wingspans increase and lengths of these butterflies increase
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4x + 6+ 3= 17
Show answer
Answer:
x= 2
Step-by-step explanation:
4x+6+3=17
4x+9=17
-9 -9
4x= 8
4x/4 = 8/4
x= 2
Hope this helps!
Solve the equation
n2 = 37
Answer:
18.5
Step-by-step explanation:
first do the opposite of multiplication which id division,so u would do 37/2=18.5, so n=18.5
1+1 =? sos sos sos sos sos sos sos sos sos sos sos
Answer:
I think its 2 bro
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
LOL LOL LOL LOL
What's your highest tile in 2048?
I got 131072
Solve x for 8 x = 22 Give your answer as an improper fraction in its simplest form.
Step-by-step explanation:
8x =22
Divide by 8
X=11/4
The required improper fraction is 11/4.
What is an improper fraction?Improper fractions are defined as fractions for which the numerator is greater than the denominator.
Given that an equation, 8x = 22, we need to find the value of x,
8x = 22
Diving both the sides by 8, we get,
x = 22/8
x = 11/4
Here, the numerator is greater than the denominator.
Hence, the required improper fraction is 11/4.
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(First to answer CORRECTLY gets brainliest!)The Mayflower Compact could best be described as a/an...
a
basic agreement requiring colonists to obey Virginia law.
b
early attempt at self-government in the English colonies.
c
detailed list of reasons why the Pilgrims left England for the United States.
d
trade contract between Great Britain and merchants in the Virginia colony.
Answer:
b, early attempt at self-government in the English colonies.
A coin is flipped 300 times. The outcomes are contained in the table.
Outcome Heads Tails
Relative frequency 286 14
What is the probability that the next flip will be a tails?
Enter the answer, in simplified form, by filling in the boxes.
Probability of Tails = $$
35 points please hurry
Answer:
30/50
Step-by-step explanation:
here are the pictures HOPE I HELP :)
The volume of this right prism is 266.5 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
x =
ft
Answer: The Correct answer is 8.2
Explanation: I took the K12 test and got it right
The height of the prism is 8.2 feet.
What is Volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.
We have,
The volume of this right prism is 266.5 ft³.
As, the formula for Volume of Trapezoidal prism is
= 1/2 ( base 1 + base 2) x height x length
So, Volume of prism
266.5 = 1/2 (5 + 8) x 5 x y
266.5 = 32.5 y
y= 8.2
Thus, the height of the prism is 8.2 feet.
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This year, 17,884 people attended a basketball team’s first game, and 17,150 people attended their second game. What is the percent decrease from the first game to the second game in the number of people who attended? Round to the nearest tenth of a percent.
Answer:
4.1
Step-by-step explanation:
8 x 8 x 8 x 8 using an exponent
Hey there!
We have
8×8×8×8
Let's write it using an exponent.
8=8¹
8×8=8²
8×8×8=8³
8×8×8×8=8⁴
So we multiplied 8 times itself 4 times (that's why the exponent is 4)
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)