It is 28 feet far above form the ground.
1225=441+B^2
1225-441=B^2
784=B^2
√784=√B^2
28=B
B=28 feet
I need help with 1-3 i don’t understand that problems and its already over due
Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day. On day zero the population consists of five members. Find the population size after eight days. Step 1 Since the relative growth rate is 0.4142, then the differential equation that models this growth is dP dt
Given :
A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day.
On day zero the population consists of five members.
Differential equation : [tex]\dfrac{dP}{dt}=0.4142P[/tex]
To Find :
The population size after eight days.
Solution :
Rate of growth , R = 0.4142 .
Now ,
Differential equation is :
[tex]\dfrac{dP}{dt}=0.4142P\\\\P_n=Ce^{0.4142n}[/tex]
For n = 0 .
[tex]5=C(1)\\C=5[/tex]
So ,the relation is [tex]P_n=5e^{0.4142n}[/tex] .
Putting n = 8 .
[tex]P_8=5e^{0.4142\times 8}\\\\P_8=137.42[/tex]
Hence , this is the required solution .
what kind of number is 0 and why? if you know the others that'd be great!!
Answer:
0 is a rational, whole, integer and real number.
Step-by-step explanation:
0 is a rational, whole, integer and real number.
Describe the shape of the distribution shown on the dot plot.
The dot plot displays the golf scores from a golf tournament.
132 , 134, 136, 138, 148
(Golf Score Strokes)
A. Uniform
B. Bimodal
C. Left Skewed
D. Right Skewed
E. Symmetrical
F. Bell shaped
Answer:
Then it's probably D. Right-Skewed
Subtract.(–3x2+4x4–8x)–(–6x+3x4+2)
Answer:
x⁴ - 3x² - 2x - 2
Step-by-step explanation:
Step 1: Write out expression
(-3x² + 4x⁴ - 8x) - (-6x + 3x⁴ + 2)
Step 2: Distribute negative
-3x² + 4x⁴ - 8x + 6x - 3x⁴ - 2
Step 3: Combine like terms (x⁴)
x⁴ - 3x² - 8x + 6x - 2
Step 4: Combine like terms (x)
x⁴ - 3x² - 2x - 2
0.0769 to the nearest hundred
Answer:
0.0800
Step-by-step explanation:
Answer:
[tex]0.0769[/tex] rounded to the nearest hundred is: [tex]0.08[/tex]
Step-by-step explanation:
Rounded to the nearest 0.01 or
the Hundredths Place.
Hope this helps you!
Jaden bought extra chicken because they’re on sale he wants to store them in the freezer which is such a -2°F he decided to turn the freezer down to another 5° to be sure they don’t spoil
Answer:
-2 - 5
-(2+5)
=7
Answer: -7 °F
what is the answer 3x+15=8x
Answer:
x=3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Supervisor: "Representatives can credit a customer's account up to 20% of the full
amount due on the bill."
Representative: "My customer is threatening to leave our company. The customer's
bill is $333.00. I could offer the customer a credit of
$40.00
$48.00
$55.00
$60.00
$66.60
Answer:
$66.6
Step-by-step explanation:
Given that,
The customer's bill is $333.00. Representatives can credit a customer's account up to 20% of the full amount due on the bill.
We need to find 20% of $333 as follows :
[tex]=20\%\ \text{of}\ 333\\\\=\dfrac{20}{100}\times 333\\\\=\$66.6[/tex]
Hence, I could offer the customer a credit of $66.6. Hence, the correct option is (E).
Given f(x) = 3x + 4. Find F-1(7)
Please help I’ll give you brainiest answer 100points!!!!!
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer: Guy above me is right
Step-by-step explanation:
1
7) What equation is missing in the steps to solvex+6=27
2
Equation
Steps
1
-x+6=2
Original equation
1
2
Multiplication property of equality
8) You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you
want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents
the pre-tax price of a pair of pants that you can afford if you buy the drink?
a. +0.04% +1.50 > 60
C. X+0.04x + 1.50 < 60
b. +0.04x +1.50 2 60
d. 1+0.04x + 1.50 S 60
Answer:
I'll answer it
Step-by-step explanation:
do you need it now
Solve the inequality and graph the solution set for 2(3r − 10) ≤ 3r − 5
Answer:
r≤5
Step-by-step explanation:
Steps are in the photo. Hope this helps.
Find f (7) when f (x) = -5x + 2.
Step-by-step explanation:
f(x) = -5x + 2
f(7) = (-5)(7) + 2
= -35 + 2
= -33
Answer:
f (x) = -5x + 2.
= -5*7+2
= -13
Step-by-step explanation:
I guess I was help full for u
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Identify the lateral area and surface area of a right cone with a radius of 7 cm and a slant height of 15 cm. PLEASE HELP!!! A)L = 329.9 cm2 ; S = 373.9 cm2 B)L = 329.9 cm2 ; S = 483.8 cm2 C)L = 659.7 cm2 ; S = 483.8 cm2 D)L = 659.7 cm2 ; S = 813.6 cm2
Answer:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
If x is 6, then 7x =
Answer:
42
Step-by-step explanation:
Answer:
42 is the answer because 7*6
3.88 milligrams is equal to how many centigrams?
-0.0388 centigrams
-0.388 centigrams
-38.8 centigrams
-388 centigrams
Answer:
B
0.388 centigrams :)
A university has 1,000 computers available for students to use. Each computer has a 250-gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the probability that a sample mean is between 111 and 119 gigabytes
Answer:
0.9545
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/standard error,
where x is the raw score
μ is the population mean
Standard error = σ/√n
n = random number of samples
σ is the population standard deviation.
For x = 111
z = (x-μ)/standard error
= 111 - 115/20/√100
= -4 /20/10
= -4/2
= -2
Probalility value from Z-Table:
P(x≤ 111) = P(x = 111) = 0.02275
For x = 119
z = (x-μ)/standard error
= 119 - 115/20/√100
= 4 /20/10
= 4/2
= 2
Probability value from Z-Table:
P(x≤ 119) = P(x = 119) = 0.97725
The probability that a sample mean is between 111 and 119 gigabytes
P(-Z<x<Z)
= P(-2< x < 2)
= P(x = 119) - P(x = 111)
= 0.97725 - 0.02275
= 0.9545
which equation represents a line that passes through (2,-1/2) and has a slope of 3
plzzz help me
Answer:
C
Step-by-step explanation:
The slope-point formula is y-y₁=m(x-x₁). So if you plug in your information you get C.
olve. 4 + x 7 = 2 A) -14 B) 10 C) 12 D) 42
Answer:
-14 I believe
Step-by-step explanation:
Answer:
Its A.
Step-by-step explanation:
Is the square root of 3,600 rational or irrational? Explain.
Answer:
Rational. the square root of 3600 is a real, rational number, 60.
Step-by-step explanation:
Answer: Rational
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is an integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
----------------------------------------------------------
Square root of 3600=60
60
It is an integer, which fits the first point
So, it is rationalHope this helps!! :)
If Carlos had saved $9.00 from his allowance to spent at jo jo’s arcade , how many games could he play first 3 games for then aft 75 cents a game
Answer:
15 games
Step-by-step explanation:
9 divided by 0.75 = 12
12 + 3 free games = 15
The measure of angle
5x+ 9 = 80
O A
x = -7 or x= 25
OB.
x= -25 or x= 7
O C.
x= 7 or x= 16
OD.
x= -25 or x= 9
Answer:
I do not see anything that matches what I got. I got x=14.2
Step-by-step explanation:
5x+9=80
5x=71
x=14.2
HELP!! PLZ! EXPLAIN WHY U THINK YOUR ANSWER IS CORRECT AND PLZ DO THE CORRECT ANSWER I WILL ALSO TELL U IF YOUR ANSWER IS WRONG
Answer:
10.29 meters per second and 10.26 meters per second
Step-by-step explanation:
200/ 19.44 = 10.29
100/ 9.75 = 10.26
Answer:
Option no. 1
Step-by-step explanation:
Speed= [tex]\frac{distance}{time}[/tex]For the 200 meter race:
his speed is [tex]\frac{200}{19.44}[/tex] = 10.29 meters per seconds
For the 100 meter race:
his speed is [tex]\frac{100}{9.75}[/tex] = 10.26 meters per seconds
Will give brainliest answer
Answer:
8- ff fj hfghgggģrdvbuhgffffgbhjjhhh
(5.23x + 3.76) − (3.67x − 6.39)
Answer:
(5.23x + 3.76) - (3.67x - 6.39)
K C C
(5.23x + 3.76) + (-3.67x + 6.39)
1.56x + 10.15
Step-by-step explanation:
An irrational number multiplied to a zero equals a rational number
O True
O False
Answer:
Irrational
Step-by-step explanation:
Answer:
false. an irrational number multiplied to a zero equals an irrational number.
Pls help I don't understand :( Will give Brainliest
Answer:
a. [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
The formula for rate of change is:
[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Your points are (1000, 310) and (3500, 460)
So
[tex]x_{1}[/tex] = 1000
[tex]y_{1}[/tex] = 310
[tex]x_{2}[/tex] = 3500
[tex]y_{2}[/tex] = 460
Plug into the formula
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50
150/50 = 3 2500/50 = 50
so:
[tex]\frac{3}{50}[/tex]
BRAINLIEST PLEASE HELP Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).
Answer:
Step-by-step explanation:
(15 -5)/(8 - 3)= 10/5= 2
y - 5 = 2(x - 3)
y - 5 = 2x - 6
y = 2x - 1
two more than4 times a number is -18