Answer:
Step-by-step explanation:
630
Answer:
789 to nearest whole number.
Step-by-step explanation:
In 4 years its increased from 220 to 350.
350 = 220(e)^4k where k is some constant.
e^4k = 350/220
4k = ln (350/220) = 0.4643
k = 0.1161
The equation of growth is therefore
P = 220e^0.1161t)
So in 2011 ( t = 11 years) the
Population = 220 * e^(11*0.1161)
= 789.
Solve the inequality for t.
11 ≤ t + 4
Simplify your answer as much as possible.
Answer:
t≥7
Step-by-step explanation:
11≤t+4
4 moves to the other side hence its sign changes
11-4≤t
7≤t
they change sides
t≥7
the sign was facing t so this does not change
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
11 ≤ t + 4 We are gonna simplify
Step 2
11 ≤ t + 4 simplify
t+4≥11
Step 3
t+4≥11 Subtract 4 from the sides
t≥7
So therefore, your answer will be t≥7
Hope this helps
43,5% of this skeleton's body is his mermaid tail.
Write the percent as a decimal.
Answer:
0.435
Step-by-step explanation:
43.5*0.01=0.435
7. A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. a. Calculate the number of cubes with edge length cm that fit in this prism. b. What is the volume of the prism in cm3? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .
Answer:
a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520
b. Volume of the prism= 315 cm³
Step-by-step explanation:
Volume of the rectangular prism = length *width * height
= 7 1/2 * 12 * 15 1/2
= 7 * 6* 15 1/2
= 7*3*15
= 315 cm³
Volume of the cube = length *width * height
= 1/2 *1/2 *1/2
= 1/8 cm³
Now number of cubes that would fit in the rectangular prism is given by
= Volume of the prism/ Volume of the cubes
= 315/1/8
= 2520
The number of cubes with edge length cm that fit in this prism= 2520
Find the area of the trapezoid
A. 168 in^2
B. 94.5 ft^2
C. 72 ft^2
D. 84 ft^2
Answer:
D. 84 ft^2
Step-by-step explanation:
Formula for area of a trapezoid:
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
The trapezoid shown has the following dimensions
base 1 = 9ft
base 2 = 12ft
height = 8ft
Using the following information we plug in the values into the formula
[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]
Hence, the area of the trapezoid is 84ft² and your answer is D
Which of the following represents the factorization of the trinomial below?
x² - 8x - 48
A. (X-6)(x-8)
B. (X+6) (x-8)
C. (x-4)(x-12)
D. (x+4)(x-12)
A jogger is running around a 3/4 mile track and is 2/3 of the way around the track. How far has the jogger traveled
Answer:
im literally doing the same exact thing right now
Step-by-step explanation:
Solve the system of equations:
y = x + 2
y = x2 + 5x + 6
A.
(0, 2) and (2, 4)
B.
(–2, 0) and (–3, 0)
C.
(–2, 0)
D.
(0, 2)
Answer: C
Step-by-step explanation:
Since both equations are set equal to y, it follows that
[tex]x+2=x^2 + 5x+6\\\\x^2 +4x+4=0\\ \\ \\(x+2)^2 = 0\\\\x=-2\\\\\implies y=-2+2=0[/tex]
So, the solution is (-2, 0).
what is the probability that you will fail a test (pass or fail), draw a red ace, and then roll a 6?
Answer:
0.7890176%
Step-by-step explanation:
First, there is a 64% chance of failing a test.
Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.
Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%
Now we need to multiply each chance of something happening by one another
64% × 7.4% = 0.04736%
4.736% × 16.66% = 0.7890176%
So there is a 0.7890176% of all of these happening
The probability that you will fail a test, draw a red ace, and then roll a 6 is 0.7890176%
We have given that,
First, there is a 64% chance of failing a test.
We have to determine the probability
What is the probability?
Probability is an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces.
You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.
Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%
Now we need to multiply each chance of something happening by one another
64% × 7.4% = 0.04736%
4.736% × 16.66% = 0.7890176%
So there is a 0.7890176% of all of these happening
Therefore the probability that you will fail a test, draw a red ace, and then roll a 6 is 0.7890176%.
To learn more about the probability visit:
https://brainly.com/question/25870256
#SPJ2
The base area of cube is 64 square cm. Find its volume.
Answer:
a cube has 8 sized
Step-by-step explanation:
64 ×8 equal 512.
Which equation represents a line which is parallel to the line y=7/2x-4
Answer:
y=-(7)/(2)x-5
Step-by-step explanation:
to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.
Answer:
y = 7/2x + 2
Step-by-step explanation:
to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.
HELP! I’LL GIVE BRAINLIEST ANSWER
Answer:
d. 20°
Step-by-step explanation:
First, we need to solve for m<Q
m<Q+m<R+m<S=180°
where m<R=90° and m<S=70°
m<Q+90°+70°=180°
m<Q=20°
Since m<Q=m<M
Then, m<M=20°
Please help me with this math question.
Answer:
275 m^3
Step-by-step explanation:
The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.
First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.
In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.
Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so
V=(1/3)(75/2)*22=275
help please I would appreciate it thank u
Answer:
radius = 7.5 cm
Step-by-step explanation:
Since M is the midpoint of the chord AB then OM is perpendicular to AB
Using Pythagoras' identity in right triangle OMB with hypotenuse OB, the radius of the circle, then
OB² = OM² + MB² = 4.5² + 6² = 20.25 + 36 = 56.25 ( take square root of both sides )
OB = radius = [tex]\sqrt{56.25}[/tex] = 7.5
Which of the following is an irrational number?
Which expression is equivalent to 2⁻⁴ x 2⁴
Answer: You have to provide the options in order for people to help.
Step-by-step explanation:
Determine the volume of the rectangular prism.
Answer:
132in
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]
hope it helps
have a nice day
Which equation shows the quadratic formula used correctly to solve 7x^2 = 9 + x for x?
Answer:
Step-by-step explanation:
We must rewrite 7x^2 = 9 + x in standard form first: 7x^2 - x - 9 = 0.
The coefficients are 7, -1 and -9, and so the discriminant b^2 - 4ac is
(1)^2 - 4(7)(-9) = 253.
The roots are:
-(-1) ± √253 1 ± √253
x = --------------------- = --------------------
2(7) 14
Please help, due soon. Use the information provided to write the standard form equation of each circle
Answer:
D
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius ) , then
x² + y² = ([tex]\sqrt{249}[/tex] )² , that is
x² + y² = 249 → D
I just need help with the graphing!
Answer:
solution is in attachment
hope it helps
What is the difference between the two rates of
change?
Function A
Function B.
7
14
21
Y
3
10
17
Answer: ben dover
Step-by-step explanation:
touch your toes ill show you where the wild goose goes
HELP ME NOWWWWWW. thanks.
Answer:
LETTER C. PO 40 ang sagot
Answer 15 points
( don’t answer if you don’t the answer )
Answer:
V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.
Step-by-step explanation:
The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared. The volume of figure 2 would be 1005.30965
the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741
hope this helps! (Also please make me brainliest if this helps u :) )
a line with a slope of 1 passes through the point (5,10). what is the equation in this slope-intercept form?
Answer:
y=x+5
Step-by-step explanation:
So first you need to plug everything into the point-slope formula which is
y-y1=m(x-x1)
m being the slope and y1 and x1 being the point (5,10)
So once you plug it in it should look like this: y-10=1(x-5)
Now you solve it
First you need to distribute 1 in 1(x-5) which is (x-5)
Now you have y-10=x-5
Then you add 10 to both sides which is y=x+5
Your answer is y=x+5
What is h?
Im so confused on this question
Answer:
i think h stands for height. I dont see it standing for any thing else
Step-by-step explanation:
I don’t know how to answer this
Answer:
EII
Step-by-step explanation:
3) Using the picture, find the measure of side J.
A) 28√3
B)28
C)56
4) Using the same picture, find the measure of side K.
A) 28√3
B)28
C)56
Answer:
solution is in attachment
hope it helps
Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. Another bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.
Answer:
5% times 3=15%
4% times 3=12%
15-12=3
1300 times 0.03= $39
39 dollars.
In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.
Answer:
7 radians
Step-by-step explanation:
In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.
Since our Angle in in radians
The formula for Arc length = S = rθ
S = 14π
θ = central angle = 2π radians
Hence
r = S/θ
r = 14π/2π radians
r = 7 radians
Radius = 7 radians
70% of the magic tricks that Jade knows are card tricks. If she knows 14 card tricks, how many magic tricks does Jade know in all?
Answer:
20
Step-by-step explanation:
Given data
Let the number of magic tricks be x
we are told that she knows 70% of card trick which is 14 card tricks
hence we have
70/100*x= 14
0.7x= 14
x= 14/0.7
x=20
Hence the number of magic tricks she knows is 20
Jameson puts $4,000 in graduation money in an account for 10 years. The interest rate is 4.2%. If he withdraws all of the money after 10 years, how much
does he take out?
Answer:
2,320
Step-by-step explanation:
4.2% gets taken every year and there is 10 year,so 4.2% s uqual to 0.042,so just mutiply 4000 by 0.042 which is 168,then times 168 by 10 which brings you to 1680 and 4000 subtracyed by 1680,which equals 2,320