Answer:
a5 = 2
Step-by-step explanation:
If a1 = 32,
a1 = 1/2 a0 = 32
a0 = 64
With that, we know that
a0 = 64,
a1 = 32
so, a2 is definitely 16. From that, we may know the formula,
an = a0 (1/2)^n
a5 = a0 (1/2)^5
a5 = 64 (1/32)
a5 = 2
The container that holds the water for the football team is 1/4 full. After pouring in 10 gallons of water, it is 2/3 full. How many gallons can the container hold?
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
From the question we are told that
Amount of water 1/4x
Gallons added 10
Amount of water after addition 2/3x
Where x is a full container
Generally the parameters above gives the equation
[tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]
Therefore
[tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]
[tex]-\frac{5}{12}x =-10[/tex]
[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]
[tex]x =24[/tex]
Therefore the container can hold 24 gallons of water
The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?
I need help
Answer:
[tex]10\:\mathrm{meters}[/tex]
Step-by-step explanation:
We can use trigonometry for a right triangle to solve this problem:
[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].
The height of the flagpole is 10 meters.
What is angle of elevation?"It is the angle from the horizontal upward to an object."
For given question,
Consider the following figure.
The angle of elevation is 18°
⇒ ∠ACB = 18°
Also, BC = 30 meters
We need to find the height of the flagpole i.e., we need to find the distance AB.
Consider a tan(∠ACB )
[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]
Therefore, the height of the flagpole is 10 meters.
Learn more about angle of elevation here:
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~Uh- ~ Hey ~ can ~ someone ~ help ~ me ~ out ~ once ~ again...?~
A circle has a radius of 6 meters. What is the circumference of the circle?
Answer:
The answer is option A
A) Circumference= 12[tex]\pi[/tex] m
Step-by-step explanation:
To find the circumference of a circle the formula you would use is C=2[tex]\pi[/tex]r
if the radius is 6 meters, C is
C = 2*6 [tex]\pi[/tex]r
C= 12[tex]\pi[/tex] m
A group from school went on a field trip to visit the State Capitol. There were 61 total people. Approximately 15% of these adults. The rest were students. How many of the group was students?
Answer:
52 students or 51
Step-by-step explanation:
Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3, 20).
Answer:
Step-by-step explanation:
It's a simple question as we know:
y-y1=m(x-x1)
y-20=12(x-3)
y=12x-36+20
y=12x-16
Now, your line is in slope intercept form you can compare it with
y=mx+c
m=12 and c=16. You can also put your point to verify your answer.
Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
whichever one corresponds with the answers you have will be right.
Num. 3 What is the name of the ray shown?
Answer:
I believe the answer is C
Step-by-step explanation:
Because lines with arrows at the end means the line is continuing. Let me know if this is right . I hope I helped! :)
Answer:
the answer to this question is (C)
Step-by-step explanation:
What is f(1/2)? (1 over 2)
Someone pls pls answer this ill mark u brainliest
Answer:
[tex]m\angle CBD=35^{\circ}[/tex]
Step-by-step explanation:
Since there are [tex]180^{\circ}[/tex] on each side of a line and [tex]\angle ABC[/tex] is marked as a right angle, [tex]m\angle CBE=180-90=90^{\circ}[/tex].
[tex]m\angle CBE=m\angle DBE+m\angle CBD[/tex], and [tex]m\angle DBE[/tex] is given as [tex]55^{\circ}[/tex].
Therefore, we can plug in our values and solve:
[tex]90=55+m\angle CBD,\\m\angle CBD=\fbox{35^{\circ}$}[/tex].
What would the temperature be on a hot day?
A.35°C
B.32
C.10°C
D.0°F
Answer:
A. 35°C.
Step-by-step explanation:
35 C (Celsius), converted to F (Fahrenheit), would be 95. Which would make it a hot day.
So, you answer is 35°c.
PLEASE ANSWER I WILL MARK AS BRAINLIEST
The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
Enter your answer as an expression, like this: 42x+53y
The expression to represent the net yardage is 30.5x+12.9y.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.
Now, net yardage
= 25x+0.9y+12y+5.5x
= 30.5x+12.9y
Therefore, the expression to represent the net yardage is 30.5x+12.9y.
To learn more about an expression visit;
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James is solving a number puzzle that involves three integers, a, b, and c, where c
is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.
Please help!!!
Answer:
a = -2, b = -3, c = 2
Step-by-step explanation:
We have the following three equations.
ab = 6
ac = -4
bc = -6
Multiply equation 2 and 3, we get
abc^2=24
Dividing it by the first equation, we get
c^2=4
c=2 or -2 (rejected since c is a positive integer)
We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)
What is the slope of a line perpendicular to the line whose equation is x−2y=12.
Answer:
-2/x
Step-by-step explanation:
simplified is y = -x/2 - 6
Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.
Example if slope= -2, the reciprocal= -1/2
Just flip the numerator with the denominator for perpendicular slope
Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3
What’s -9/6 divided by -1/8
Answer:
-9/6 divided by -1/8 equals 12
Step-by-step explanation:
. A negative divided by a negative is a positive so... 9/6 divided by 1/8
. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8
. Reduce the fraction with 3 so... 3/2 times 8
. Reduce the numbers with the greatest common factor 2 so... 3 times 4
. Multiply the numbers so... 3 times 4 equals 12
Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?
Answer:
The one on the graph
Step-by-step explanation:
m + 7 ≥ 20, if m = 11
Answer:
False;18 ≥ 20
Step-by-step explanation:
Add 11 and 7
The left side 18 is less than the right side 20 , which means that the given statement is false.
a choir director made a histogram showing the ages of the members of the choir. which statement about the data in the histogram must be sure?
answer options are in the picture!!
Answer:
the Choir has total of 100 members must be correct answer
more than half......................... can't be right cause there r exactly 50 members between 43-73,
second one can't be right cause no data was given no. of men and women
there r 35 members exactly who r less than 32 years so it's wrong.
hope it helps.
Answer:
the Choir has total of 100 members
Step-by-step explanation:
A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 2 hours, to the nearest whole number?
Answer:
45495
Step-by-step explanation:
Answer:
10077
Step-by-step explanation:
A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P
t
=P
0
⋅2
d
t
, where P_tP
t
is the population after t hours, P_0P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?
P_0=5400
P
0
=5400
The initial population
t=9
t=9
Time elapsed
d=10
d=10
The doubling time
P_t = P_0\cdot 2^{\frac{t}{d}}
P
t
=P
0
⋅2
d
t
P_t=5400\cdot 2^\frac{9}{10}
P
t
=5400⋅2
10
9
Plug in
P_t=10076.7563\approx10077
P
t
=10076.7563≈10077
Use parenthesis in the calculator for the exponent
Mary has a \large 16\frac{1}{2} ounce bag of chocolate chips. She will only use \large \frac{1}{4} of the bag for decorating a cake. How many ounces will she use for decorating
Answer:
4 1/8 ounces
Step-by-step explanation:
Total bag of chocolate chips Mary has = 16 1/2 ounces
She will only use 1/4 of the bag for decorating a cake.
How many ounces will she use for decorating
Ounces used in decoration = 1/4 of 16 1/2
= 1/4 × 33/2
= (1*33)/(4*2)
= 33/8
= 4 1/8 ounces of chocolate chips
She will use 4 1/8 ounces of chocolate chips for decorating a cake
Very confused. Will give 40pts.
Answer:
Y = 10.25 or 10.247
Step-by-step explanation:
Alright So use the Formula A^2 + B^2 = C^2
You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.
Next, you need to find 16^2 = 256.
Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105
Finally, you take 105 and find its square root.
And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)
Hope this helps!
Carlota’s smartphone contains 500 megabytes of data. She uses 300 megabytes for applications and the rest for music. If each song takes an average of 4 megabytes, which equations can be used to find the number of songs on Carlota’s smartphone? Select all that apply. A. 500−300=4n B. 500+300=4n C. 4n+300=500 D. 300−4n=500
Answer: A:500-300=4n and C:4n+300=500
Step-by-step explanation:
Will I fail this year, let me know what you think.
Answer:
nahhhhhhh u will passsss
Solve for x. Look at the image attached thanks.
Answer:
x=2.2
Step-by-step explanation:
You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.
So we can use the following ratios to solve for ED=x:
Find X in this picture.
Answer:
x is in the top left of the triangle :)
Step-by-step explanation:
Answer:
its there....
Step-by-step explanation:
Solve 24≤−6t.
the solution is __
Answer:
t ≤ − 4
Step-by-step explanation:
Answer: t ≤ -4
Step-by-step explanation:
rearrange the problem 24-(-6*t)≤0 Pull out like factors :24 + 6t = 6 • (t + 4)
Divide both sides by 6 Subtract 4 from both sides t ≤ -4
Which two grids have 25% shaded
Answer:
there's no grid provided
c=27+10h where c= cost in dollars and h= number of hours rented
Answer:
that help
Step-by-step explanation:
10h+27+−27=c+−27
10h=c−27
10h10=c−2710
h=110c+−2710
Answer:
h=110c+−2710
Answer the following. a) Find h b) Find x
Answer:
a) h = 15
b) x = 4
Step-by-step explanation:
a) set up a proportion:
5 = h
8 24
cross-multiply:
8h = 120
h = 15
b) x + 5 = x + 5 + 15
5x + 1 5x + 1 + 35
cross-multiply:
(x + 5)(5x + 36) = (5x + 1)(x + 20)
5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20
180 = 40x + 20
160 = 40x
x = 4
