Answer:
32.92
Step-by-step explanation:
well you just do base times height
the height is 3.5
the area of the base is 3 * pi which is 9.42 if you round pi to 3.14
so 3.5*9.42= 32.92
Rewrite f(x) into vertex form by completing the square f(x)=−x2+8x+9
Answer:
vertex = ( 4 , 25 )
Step-by-step explanation:
given a parabola in standard form y = a x 2 + b x + c x ; a ≠ 0
then the x-coordinate of the vertex is
X vertex=-b/2a
y=-x2+8x+9 with a=-1 b=8 c=9
X vertex= -8/-2=4
substitute the value on the equation
Y vertex = -(4)squared+8(4)+9=25
Which mathematical inequality represents the following sentence?
Five more than one-third of a number is less than or equal to negative four.
A. x + 5 > −4
B. x + 5 ≥ −4
C. x + 5 < −4
D. x + 5 ≤ −4
can someone please please help me with this???
9514 1404 393
Answer:
25 terms
Step-by-step explanation:
We can use these numbers to find the first term and the common difference. Then we can use those in the formula for the sum of terms. Finally, we can solve the inequality that makes the sum of terms greater than 1560.
__
First term and common difference
The general term is ...
an = a1+d(n -1)
Then the given terms are ...
a2 = a1 + d(2 -1) . . . second term
8 = a1 + d . . . . . . . . . [eq1]
a4 = a1 + d(4 -1) . . . fourth term
18 = a1 + 3d . . . . . . . [eq2]
Subtracting the first equation from the second, we get ...
[eq2] -[eq1] = (18) -(8) = (a1+3d) -(a1 +d)
10 = 2d . . . . . simplify
5 = d . . . . . . . divide by 2
Using [eq1], we can find a1:
8 = a1 + 5
3 = a1 . . . . . . subtract 5
The arithmetic progression has a first term of 3 and a common difference of 5.
__
Formula for the sum of terms
The generic formula for the sum of an arithmetic progression is ...
Sn = n·(a1 + (a1 +d(n -1)))/2
Sn = (n/2)(2a1 + d(n -1)) . . . . simplify a little bit
With our values for a1 and d, this becomes ...
Sn = (n/2)(2·3 +5(n -1))
Sn = (n/2)(5n +1)
__
Inequality for the sum
We want the sum of terms to be more than 1560, so we can write the inequality ...
(n/2)(5n +1) > 1560
In standard form, this would be ...
5n² +n -3120 > 0
The quadratic formula tells us the zeros are ...
n = (-1 ±√(1² -4(5)(-3210)))/(2·5) = (-1 ± √62401)/10
The positive zero is n ≈ 24.88.
That is, for n > 24.9, the sum will be greater than 1560.
The least number of terms for a sum greater than 1560 is 25.
__
Check
Check the formula for 4 terms.
3 + 8 + 13 + 18 = 42 = (4/2)(5·4 +1) = 2(21) = 42 . . . note 2nd & 4th terms
Check the sums for 24 and 25 terms.
(24/2)(5·24 +1) = 12(121) = 1452 . . . . . sum < 1560 for n = 24
(25/2)(5·25 +1) = 12.5(126) = 1575 . . . sum > 1560 for n = 25
how can you apply the basic concept of probability in your life as a student
Answer:
Easy you can guess if you think you can do something and you proudly can
Step-by-step explanation:
12 in.
7 in.
18 in.
25 in.
What is the area
Answer: 37,800
Step-by-step explanation:
if its a triangle then divide this by 2 and if not then id.k
find the area and perimeter of the regular polygon
Una mamá tiene el cuádruplo de la edad de su hijo, y dentro de 5 años, tendrá el triple de años que el. Indica que edad tienen ambos.
Answer:
The son age is 10 years
And, his mother age be 40 years
Step-by-step explanation:
Given that
The mother is four times the age of her son
And, in 5 years, she will be three times as old as him
We need to find out the ages of both
Here we assume that the age of her son be x
So the mother age be 4x
Now in 5 years, her mother would be 3 times as old as his son
So,
4x + 5 = 3(x + 5)
4x + 5 = 3x + 15
x = 10
The son age is 10 years
And, his mother age be 40 years
25 POINTS!!!!
x =
5
6
10
Step-by-step explanation:
[tex]2 \times x = 4 \times 3[/tex]
[tex]2 \times x = 12[/tex]
[tex]x = 6[/tex]
There are 3 apples, john takes 2, how much are there
Answer:
1 apple
Step-by-step explanation:
Help me which one is it ?
 Given the sequence B shown below, determine the 11th term? B=10,12,14,16,...
What is the probability of flipping a coin 50 times and getting tails 22 times or fewer
Help on this Math question please
And No links please
Answer:
4
Step-by-step explanation:
Jerry Jones reported that he cowboys stadium was 7/8 full during Sunday's game. Which decimal is equivalent to the fraction of the stadium that was full on Sunday.
Answer:
0.875
Step-by-step explanation:
7/8 of stadium was full
Division '7 ÷ 8' is shown , to convert the fraction into decimal
7/8 = 0.875
It is equivalent to the fraction of the stadium that was full on Sunday.
Question 9 The value of y varies directly with x. When y = 75, x= What is the value of y when x is 21?
Answer:
Can you please post a picture
Step-by-step explanation:
Answer:
The answer is 0
Just like you
Step-by-step explanation:
What is the right equation for the product of 6 and the sum of 4 and 5
Answer:
2*3=6 4+5=9
Step-by-step explanation:
Product means the answer to a multiplication problem. And the sum of 4 and 5 would be the answer to 4+5.
Find the length of arc CD. Use 3.14 for .
Round to the nearest tenth.
5 7.9 cm
66.49
[ ? ]cm
Enter
9514 1404 393
Answer:
9.2 cm
Step-by-step explanation:
The arc length is given by ...
s = rθ . . . . . where r is the radius, and θ is the central angle in radians
Here, we have ...
s = (7.9 cm)(66.4/180π) = 7.9·66.4·3.14/180 cm ≈ 9.2 cm
Arc length CD is about 9.2 cm.
A box contains 12 wooden soldier statues and 18 wooden animal statues. What is the probability of randomly pulling out a wooden soldier, replacing it and then pulling out a wooden soldier again?
Answer:
I believe the answer is 40%
Step-by-step explanation:
The reasoning is 12+18=30 then you divide the amount of soldiers there is by the amount on toys in totality which is 12÷30 which is .4 convert to a percent which is 40%
Hence the answer is 40%
What are the vertex and axis of symmetry of the parabola y = x2 + 10x + 30?
Answer:
x=−5
y=x2+10x+25
Step-by-step explanation:
Because the line of symmetry passes through the vertex, the equation of the line is x=−5.
What’s the answerrrr please
I need help ASAP please
Answer:
The answer is the second one
ANSWER ALL THREE QUESTIONS AND ILL GIVE U BRAINLIEST PLS AND THANK Uuu (i’m struggling if u can’t tell.)
A radio signal travels at 4.00 x 10' meters per second. How many seconds will it take
for a radio signal to travel from a satellite to the surface of Earth if the satellite is
orbiting at a height of 2.1 x 10 meters? Show your work. (Hint: d = it, where d is
distance, r is rate, and 1 is time.)
Answer:
for the question on simplify I think the answer is B
Step-by-step explanation:
cause when it is reciprocated the sign changes
is 2 8/9 equivalent to 3 1/6?
Answer:
No
Step-by-step explanation:
Answer:
The answer is No.
Step-by-step explanation:
have a great day
The figure is made up of 5 identical quarter circles.
(a) Find the perimeter of the figure.
(b) Find the area of the figure.
(Take π= 3.14.)
The radius of a circle is 4 meters. What is the angle measure of an arc meters long?
= m
r=4 m
Answer:
the angle is pi/4.
Step-by-step explanation:
Formula for Arc length in radians = rx, where is the radius of the circle and x is the angle
t = pi = arc length
r = 4
hence pi = 4x
angle = x = pi/4
Convert each radian measure into degrees: 25π18
Answer:
1432.39
Step-by-step explanation:
27 rad×180pie
answer:1432 with rounding of 10th
What is the arithmetic mean of the following numbers? 3, 5, 6, 7, 9, 6, 83,5,6,7,9,6,8
Answer:
oh wow that's giving me a headache, I dont understand
Answer:
The answer is 6
Hope this helped
3(4x-9)+4=2(5x-7)+2
*if it’s a repeating decimal, round to the nearest hundredth (2 decimal places)
Help please .
6% of $22 equals $1.32 what is the total including tax?
Answer:
$23.32
Step-by-step explanation:
Add $22 and $1.32 to get the total.
$22 + $1.32 = $23.32
Please help me need ASAP
Answer:
(2)
The increased amount is 9