Answer:
He will cover 2,827.433 feet² area of the park with plant food.
Step-by-step explanation:
The diameter of the garden is 60 feet and the radius will be 60 feet/2 = 30 feet.
diameter= 60 feet
radius = diameter/ 2= 60/2= 30 feet
The area of the circle can be found by the formula πr²
Area= πr²=π(30)²
Area = 900π= 2,827.433 feet²
He will cover 2,827.433 feet² area of the park with plant food.
Which of the following is equivalent to logb sqrt 57/74
Answer:
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
Step-by-step explanation:
Given the expression
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]
Rewrite as
[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]
[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex] ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]
Therefore,
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
pls help quickly thank you
Answer: $637
Step-by-step explanation:
At a high school football game, admission is $5 for students and $10 for non-students. There were 500 people at the first game, and the school made $4,000 from admissions. In this activity, you will find the number of students and non-students at the game.
Please write the two equations algebraically and then solve :)
Answer:x = 200 students
y = 300 non-students
Step-by-step explanation:
5x + 10y = 4000
x + y = 500
Set y = 500-x
5x + 10(500-x) = 4000
5x + 5000-10x
-5x + 5000 = 4000
-5x = -1000
x = 200 students
y = 300 non-students
Let's double checks
5(200) + 10(300)
1000 + 3000 = 4000
A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?
Answer:
(a) Index finger
(b) Ring finger
(c) Index finger
Step-by-step explanation:
Taking thumb as standard for the question.
Thumb series 1 , 9 , 17 ,25, 33......
general term for this
a(n) = 1 + (n-1)8
= 1 + 8n -8
= 8n -7
(a) For 1 to 10
8n -7 = 10
8n = 16+1 (remainder)
so the thumb is for 9 and the next is index finger.
10th = index finger.
(b) for 1 to 100
8n - 7 = 100
8n= 107
107 = 13x 8 + 3(remainder)
so the third finger from thumb is Ring finger
100th = Ring finger
(c) 8n - 7 = 1000
8n = 1007
1007= 125x8 +7 (remainder)
so the 7th finger next to thumb is Index finger
1000th = index finger
I need help with this equation
Answer:
Here:)
Step-by-step explanation:
x= -8
Answer: x = -8
Step-by-step explanation:
8x = 4x - 32
subtract 4x from both sides
4x = -32
divide by 4 on both sides
x = -8
:)
Your payment is $350 per month for 48 months and you made a 3,000 down payment?
Answer:
Your total cost would be $19800
Step-by-step explanation:
350*48
=16800
+3000
=19800
Find the equation of the line shown.
Answer:
I think that it is y= -2x +9
Step-by-step explanation:
I am sure about the slope but the y-intercept (9) might be wrong.
giving brainly
what is the equation of the line in slope intercept form
Answer:
y=-4/3x-60
Step-by-step explanation:
Answer:
y=-4/3x-60
Step-by-step explanation:
The line intercepts -60 and the slope by using a slope triangle, for y it was from -20 to 20 so 40 units difference, and for x it was -30 to -60 so 30 unit difference. 40/-30 simplified = -4/3
what is 2 1/9 x 1 1/2
Answer:
3.16
Step-by-step explanation:
Hope this helps!
Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next
Answer:
The answer is C. 2 pounds
Step-by-step explanation:
Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.
This is for the ones on Plato
How do I solve this problem and check all the solutions?
Answer:
x-5=sqrt(2x+5)
then square both sides
x2-10x+25=2x+5
x2-8x+20=0
rest is trivial
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Given
x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )
- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )
[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )
2x + 5 = (x - 5)²
2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )
0 = x² - 12x + 20 ← in standard form
0 = (x - 2)(x - 10) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 10 = 0 ⇒ x = 10
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 2
2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5
Thus x = 2 is an extraneous solution
x = 10
10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side
Thus x = 10 is the solution
A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.
Find the volume.
Marking brainless!!!
Answer:
A
Step-by-step explanation:
Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought.
Answer:
y = 9x
Step-by-step explanation:
You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.
9 would be the slope, since he has to pay $9 per gift.
The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.
So, it's just y = 9x
Hope that helps! :D
Answer:
easy
Step-by-step explanation:
Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help
Answer:
Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.
Step-by-step explanation:
Hope this helps!
Answer:
Yes you are correct. It would be one.
Step-by-step explanation:
gordon types 1800 words in 25 minutes. word per minute
Answer:
72
Step-by-step explanation:
words per minutes= 1800÷25=72
Can someone help pls
i need the answer for this question
Answer:
x=5
y=7
(5,7)
Step-by-step explanation:
solved by substitution.
What is the equation of the line in slope-intercept form that is perpendicular to the line y = -x-2 and passes
through the point (-12, 10)?
O y=-x-6
O y=-x + 6
Oy= x + 26
O y = x + 10
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.
To find the equation of the line that is perpendicular to this line,
We need to use the fact that the product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular line be m'.
Then:
-1 x m' = -1
m' = 1
So the slope of the perpendicular line is 1.
We also know that the perpendicular line passes through the point (-12, 10).
Using the point-slope form of the equation of a line, we have:
y - y(1) = m' (x - x(1))
Substituting m' = 1 and (x(1), y(1)) = (-12, 10),
We get:
y - 10 = 1 (x + 12)
Simplifying this equation gives:
y = x + 22
Thus,
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ7
please help! i only got 9 minutes left!!
Answer:
D) -5/2
Step-by-step explanation:
(0, 5) (8, -15)
-15 - 5 = -20
8 - 0 = 8
-20/8 = -5/2
solve each system using elimination
8x+lly = 20 5x - 11y = -59
Answer:
8x+lly=205x-11y=-59u200b
Step-by-step explanation:
i calculated it
A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number
Answer:
29%
Step-by-step explanation:
0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)
Hope this helps!
Answer:
29%
Step-by-step explanation:
0.28571428571 is the original number which makes 29%
Hope this helps! Have a great day :)
A bread recipe calls for 2 cups of wheat flour and 3 1/4 cups of white flour. How much flour does the recipe call for altogether?
Answer:
Step-by-step explanation:
2+3.25=5.25 or 5 1/4 cups of flour total
what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?
Answer:
The complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
Step-by-step explanation:
Considering the function
[tex]f(x)=-8x+13[/tex]
As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.
Now
As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).Putting x = -2 in f(x) to determine the range for the value x = -2
[tex]f(x)=-8x+13[/tex]
[tex]f(-2)=-8(-2)+13=16+13=39[/tex]
Putting x = 0 in f(x) determine the range for the value x = 0
[tex]f(x)=-8x+13[/tex]
[tex]f(0)=-8(0)+13=0+13=13[/tex]
Putting x = 0 in f(x) determine the range for the value x = 3
[tex]f(x)=-8x+13[/tex]
[tex]f(3)=-8(3)+13=-24+13=11[/tex]
Therefore, the complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
As an estimation we are told 5 miles is 8 km.
Convert 60 km to miles.
Answer:
37.5 miles
Step-by-step explanation:
We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.
[tex]60/1.6=37.5[/tex]
Hope this helped!
Answer:
96 km
Step-by-step explanation:
I try it its 96 km
Trust me
Help I need an answer as soon as possible
Answer:
charlie is the one,im pretty sure
PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent. And thank you if you answer this I really need the answer.
Answer:
To find the price per spoon of brand A, divide the cost by the amount of spoons:
1.99 / 25 = 0.0796
Repeat this process for brand B:
3.89 / 42 = 0.0926
Brand A, at $0.08 a unit, is the better buy of brands A and B.
the slope of the line that goes through the points (2,4) and (7,8)
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Answer:
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
* A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
* If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Step-by-step explanation:
(A) and (C)
A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
AnglesAn angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.
To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
Find out more on Angles at: https://brainly.com/question/25770607
Solve for x.
x/3+y=2x+19
Answer:
The answer is [attached photo].
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
(3+y)-19=x
Step-by-step explanation:
x/3+y=2x+19
=3+y=2x-x+19
(3+y)-19=x