Answer:
[tex](x-4)^2+(y+7)^2=43[/tex]
Step-by-step explanation:
The standard equation of a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, h = 4, k = -7, and r = √(43). Substitute:
[tex](x-(4))^2+(y-(-7))^2=(\sqrt{43})^2[/tex]
Simplify. Hence, our equation is:
[tex](x-4)^2+(y+7)^2=43[/tex]
5. A gallon of paint covers 300 square feet.
How many gallons must be bought to cover a room with two 25' by 12' walls and
two 20' by 12' walls?
Step-by-step explanation:
wall 25×12=300
2 walls = 600
wall2 20×12=240
2 wall2= 480
600+480= 1080 sq ft
The number of gallons that must be bought to cover a room with two 25' by 12' walls and two 20' by 12' walls is 3.6 gallon
What is area of rectangle ?"Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides."
Given,
A gallon of paints covers 300 square feet.
Area of the first two walls is [tex]2*25*12[/tex] = 600 square feet
Area of the second two walls is [tex]2*20*12[/tex] = 480 square feet
Total area of the room is = 480+600 = 1080 square feet
The paint required for 1 feet is = 1/300
So, the paint required for 1080 feet is = 1080/300 =3.6
Hence, the paint required to cover the entire room is = 3.6 gallon
To know more about area of rectangle here
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4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?
Answer:
936 girls at the school
Step-by-step explanation:
4/7 of 2184 = 1248
2184-1248 = 936
Happy learning! Please mark brainliest!
--Applepi101
Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.
How many quarts of fertilizer are left?
The solution is:
48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
1 acre of land = 4/5 quart
38 1/4 acre of land = x
Cross Multiply
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
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complete question :
alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?
HELPPPPP PLEASEEEEE
Answer:- 1/2
Step-by-step explanation:
The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?
Given:
The area of a flower garden is 60 m².
One third of it was used for growing roses and the remaining area was divided into two equal parts.
To find:
The area of each remaining part.
Solution:
It is given that the area of a flower garden is 60 m² and one third of it was used for growing roses. So, the remaining part is:
[tex]\text{Remaining}=60-\dfrac{1}{3}\times 60[/tex]
[tex]\text{Remaining}=60-20[/tex]
[tex]\text{Remaining}=40[/tex]
The remaining area was divided into two equal parts. So, the area of each remaining part is:
[tex]\text{Area of each remaining part}=\dfrac{40}{2}[/tex]
[tex]\text{Area of each remaining part}=20[/tex]
Therefore, the area of each remaining part is 20 m².
Which of the following is not a real number?
O A. Squared root of 1
B. Squared root of 13
C. Squared root of 16
D. Squared root of -4
Answer:
D: √(-4)
Step-by-step explanation:
D: √(-4) is not a real number; it's an imaginary one.
Which ordered pairs make both inequalities true? Select two options
Answer:
there isn't any options
What is the slope of this equation? Y=1/3x+4
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. Choose the correct interpretation for the 98% confidence interval for the population proportion.
a. We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
b. We are 98% confident the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
c. In 98% of all samples, the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
d. The proportion of adults in the United States who believe it more enjoyable to be married than single is between 0.7250 and 0.7770.
Answer:
(a). We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
Step-by-step explanation:
According To the Question,
Given, An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. The interpretation for the 98% confidence interval for the population proportion is in Option A.a prop for a school musical is cut from a sheet of cardboard. the shape is shown in the picture, what is the area of the shape?
Answer:
32
Step-by-step explanation:
area of rectangle: 6*4=24
area of top triangle: 4*2=8
24+8=32 total area
Which of the following equations could be used to find the value of 3,550 ÷ 25?
A. (3,000 + 500 + 50) ÷ 25 = 140
B. (550 + 20) ÷ (3,000 + 5) = 140
C. (3,000 + 500 + 50) ÷ 25 = 142
D. (300 + 50 + 5) ÷ 25 = 142
E. (3,000 ÷ 25) + (550 ÷ 25) = 142
F. (550 ÷ 20) + (3,000 ÷ 5) = 140
Answer:
A is correct answer
Step-by-step explanation:
[tex](3000 + 500 + 50) \div 25 \\ [/tex]
[tex](3550) \div 25[/tex]
[tex] = = > 3550 \div 25[/tex]
Thanks
Don't forget to tell the name of your country.
You are in a store shopping, you see two nice shirts, one is 50% off, the regular price of $45.50 and the other is 30% of $35, which one is cheaper?
Answer:
The answer would be the second option
Step-by-step explanation:
first option 45.50/2 = 22.75
second option would be 10.75
so the second option is correct
What is the product of 7x-4 and 8x+5?
Answer:
15x+1
have a nice day
Answer:
5x+1 is the answer for your question
The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals
Answer:
2x+6
Step-by-step explanation:
answer is in the photo above
write the expression in expanded form
3h^3(k+3)^2
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
You are standing 30 meters from a hot air balloon that is preparing to take
off. The angle of elevation from you to the top of the hot air balloon is 28º. Find the
distance from you to the top of the balloon. (Round to two decimal places)
Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, l = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, d, the height of the balloon, h and the horizontal distance to the balloon, l, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;
[tex]cos\angle X = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
From which we get;
[tex]cos\angle \theta = \dfrac{l}{d}[/tex]
[tex]cos(28^{\circ}) = \dfrac{30 \ m}{d}[/tex]
[tex]d = \dfrac{30 \ m}{cos(28^{\circ}) } \approx 33.977 \, m[/tex]
The distance to the top of the balloon, d ≈ 33.977 m
the sum of three numbers is 62 the second number is equal to the first number diminished by for the third number is four times the first
Answer:
11, 7, 44
Step-by-step explanation:
a+b+c = 62
a-4 = b
c = 4×a
I think you meant "diminished by four", right ?
=>
a + a-4 + 4×a = 62
6×a - 4 = 62
6×a = 66
a = 11
=>
b = 11 - 4 = 7
c = 4×11 = 44
pq(r²-1)-r(p²+q²) factorize
Answer:
pqr2-pq-p2r-rq2 is the answer
Answer:
Step-by-step explanation:
pq(r^2 - 1) - r(p^2 + q^2)
multiply the brackets
=pq*r^2 - pq*1 - r*p^2 - r*q^2
=pqr^2 - pq - rp^2 - rq^2
=pqr^2 -rp^2 -rq^2 -pq
what is the solution to x^2 + 6x + 7
Answer:
x2+6x+7
Step-by-step explanation:
there are no like terms
i think you are missing something in your question (like the equal sign?)
reply in comment so i can help:)
What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }[/tex] [tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }[/tex] [tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] [tex]\sf{ 2+5p=4+3p }[/tex] [tex]\sf{5p-3p=4-2 }[/tex] [tex]\sf{ 2p=2 }[/tex] [tex]\sf{p=\dfrac{2}{2} }[/tex] [tex]\bold{p=1 }[/tex]If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?
Answer:
8 Months to read 24 Books
Answer:
240
Step-by-step explanation:
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Delete this answer, I was solving for area
Answer:
v= 100
Step-by-step explanation:
V=a2h/3
v= 15*(20/3)
v= 15*6.6
v=100
Can someone please professionally explain the math question shown on the image. (Not just answer the question) Step by step.
I will mark as brainliest!
Answer:
[tex]x=65[/tex]
Step-by-step explanation:
Area of a triangle is always 180 degrees...
In this triangle we have two values given, lets make an equation & solve it:
[tex]x+68+47=180[/tex]
[tex]x+115=180[/tex]
[tex]x=180-115[/tex]
[tex]x=65[/tex]
To check if you have the right answer, add all the angles to get 180:
[tex]68+47+65=180[/tex]
Therefore, x = 65
I hope this help :)
[tex]\huge\bold{Given :}[/tex]
Angle ABC = [tex]x[/tex]
Angle BAC = 68°
Angle BCA = 47°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle ABC [tex]''x"[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x\:=\:65°}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°
➪ [tex]x[/tex] + 68° + 47° = 180°
➪ [tex]x[/tex] + 115° = 180°
➪ [tex]x[/tex] = 180° - 115°
➪ [tex]x[/tex] = 65°
Therefore, the measure of ∠ ABC is 65°.
Hence, the three angles of the triangle are 65°, 68° and 47° respectively.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ ABC + ∠ BAC + ∠ BCA = 180°
✒ 65° + 68° + 47° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
(Note:- Kindly refer to the attached file.)
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Select ALL the functions whose graphs include the point (16, 4).
Answer:
D
Step-by-step explanation:
x=16
y=4
4=16-12
4=4
Answer:
D
Step-by-step explanation:
You want to invest in companies belonging to Gispa Group of
1
Companies, Inc. so you did some research and found out that companies belonging to this group has an average gain of
0.8
percent and standard deviation of
0.7
percent. Given that a positive percent (gain) means profit and a negative percent means a loss. If you choose
20
companies, what is the probability that the companies are gaining more than
1
percent?
Answer:
1.2803
Step-by-step explanation:
According to the Question,
Given That, You want to invest in companies belonging to Gispa Group of 1 Companies, Inc. so you did some research and found out that companies belonging to this group have an average gain of 0.8 percent and a standard deviation of 0.7 percent. And, a positive percent (gain) means profit and a negative percent means a loss. If you choose 20 companies.Therefore, We have Average Gain(ц) = 0.8%
Standard deviation(σ) = 0.7%
Number of Companies(n) = 20
So, the probability that the companies are gaining more than 1 percent is[tex]X_{i}[/tex] = (σ² × n) / ц ⇒ (0.7²×20) / (0.8*10) = 1.2803
what is the mean absolute deviation for the following(you don't need to show work): 7 6 8 5 1 6, 7 9 6 4 5 4, 4 5 6 6 9 2 3.
Answer:
the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
Here's how to calculate the mean absolute deviation.
Step 1.Calculate the mean.
Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
Step 3: Add those deviations together.
Step 4: Divide the sum by the number of data points.
Following these steps in the example below is probably the best way to learn about mean absolute deviation, but here is a more formal way to write the steps in a formula:
\text{MAD}=\dfrac{\sum{\lvert x_i-\bar{x} \rvert}}{n}MAD= ∑∣ xi -x /n
start text, M, A, D, end text, equals, start fraction, sum, open vertical bar, x, start subscript, i, end subscript, minus, x, with, \bar, on top, close vertical bar, divided by, n, end fraction
Example
Erica enjoys posting pictures of her cat online. Here's how many "likes" the past 666 pictures each received:
10, 15, 15, 17, 18, 21
Find the mean absolute deviation.
Step 1: Calculate the mean
The sum of the data is 96 total "likes" and there are 6 pictures.
\text{mean}=\dfrac{96}{6}=16
mean= 96/6=16
start text, m, e, a, n, end text, equals, start fraction, 96, divided by, 6, end fraction, equals, 16
The mean is 16
Step 2: Calculate the distance between each data point and the mean.
Data point Distance from mean
10 |10-16|=6
15 |15-16|=1
15 |15-16|=1
17 |17-16|=1
18 |18-16|=2
21 |21-16|=5
Step 3: Add the distances together.
6+1+1+1+2+5=16
Step 4: Divide the sum by the number of data points.
\text{MAD}=\dfrac{16}{6}\approx2.67MAD=
MAD=16/6 =2.67 Likes
On average, each picture was about 333 likes away from the mean.
Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b?
How can Victoria justify Step 3 of her work?
Answer:
ans: x= 1/(a-b)
Step-by-step explanation:
given equation is
ax = bx + 1
to isolate x , take bx to left side
or,
subtract bx on both sides , I.e
ax - bx = 1
x( a- b) = 1
x = 1/(a- b)
SOMEONE PLEASE HELP MEEEE
Answer:
[tex]-180^{\circ}[/tex]
Step-by-step explanation:
Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.
Answer:
-180 because its through 0
hope this helps!
Stephanie earns $4,000 a month, plus a 10% commission on everything she sells. If during one month, she sold $50,000 worth of product, what was her salary for that month?
$9,000
$4,000
$5,000
$6,500
Can someone Find X and Y
The answer is in the image. Y is 25 because the legs are the same (45 and 45 degree angles) and x is found with trigonometry or can be √1250 (simplified as 25√ 2) using pythagorean theorem or by using 45 45 90 triangle rule.
