Answer:
See Explanation
Step-by-step explanation:
Now;
From;
P=Poe^kt
Where;
P = population at time=t
Po = population initially present
k = growth rate
t = time taken
a) The function is;
P= 112,000e^0.04t
b) In the year 2004, the population will be
P= 112,000e^0.04(6)
P= 142380
c) 200,000 =112,000 e^0.04t
200,000/112,000 = e^0.04t
1.786 = e^0.04t
ln 1.786 = ln e^0.04t
ln 1.786= 0.04t
t = ln 1.786/0.04
t = 14.5 years
Calculate the length of side x.
Give your answer correct to 3 significant figures.
Answer:
8.58cm
Step-by-step explanation:
Since tanθ = opp/adj,
tan43 = 8/x
x = 8/tan43
= 8/0.93251508
= 8.57894973666
≈ 8.58
Wich is the solution for -7x > 49 ?
Answer:
x > -7
Steps -
-7x > 49
Multiply both sides by (-1) (Reverse inequality)
(-7x) (-1) < 49 (-1)
Simplify
7x < -49
Divide both sides by 7
7x/7 < -49/7
Simplify = x > -7
Lupe needs to make a poster that is 2 m by 4 m for the big game. The cost of the paper is $1.75. Later she needs another poster with dimensions 1 m by 2 m. What is the paper for this poster likely to cost
Answer:
$0.42
Step-by-step explanation:
Given data
Dimension
Length=4m
Width=2m
Cost= $1.75
Area= 4*2= 8m^2
Cost per area=1.75/8
Cost per area=$0.21 per m^2
The new poster's dimension
Lenght =2m
Width= 1m
Area= 2*1= 2m^2
Hence if a square meter cost $0.21
Then 2 square meter will cost x
cross multiply
2*0.21=x
x=$0.42
Hence the new poster will cost $0.42
4x + x/y for x=12 and y=6
Answer:
4x+2
Step-by-step explanation:
All you have to do is simplify 12/6
And that equals 2.
3/2 ( x - 6 ) = -3
What's x?
A. x = -8
B. x = 2
C. x = 4
D. x = 9
Answer:
The answer is C.
Step-by-step explanation:
Had this on a quiz.
what is y -5= 2/3(x-2) in slope intercept form??
Answer:
y = 2/3x + 3 2/3
Step-by-step explanation:
slope intercept form: y = mx + b
isolate the y => y = 2/3(x - 2) + 5 => y = 2/3x - 4/3 + 5 => y = 2/3x + 3 2/3
Distance between -12 and
12
Answer:
24
Step-by-step explanation:
find the value of X and Y triangle BLT is congruent to Triangle JFK
Using the order of the letters in the triangles find the corresponding sides:
BL is similar to JF
LT is similar to KF
BT is similar to JK
Find the scale between LT and KF
9/12 = 3/4
The smaller triangle is 3/4 the size of the lager one.
This means BT = 3/4(JK) = 3/4(4) = 3
So x = 3, so side BL = 2x = 2(3) = 6
Now to solve for y:
BL is 3/4(JF)
6 = 3/4(y)
Solve for y by dividing both sides by 3/4
Y = 6/(3/4)
Y = 8
X = 3, y = 8
What percent of 21 is 105?
Answer:
20%
Step-by-step explanation:
21/ 105
= 0.2 x 100
20%
What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to
solve
please solve rhis ques
Answer:
The highest common factor is (a + b)
Step-by-step explanation:
We start by making a factorization of the first expression
By using the difference of two squares, we can have it as;
a^2 - b^2 = (a + b)(a-b)
For the second expression, we already have;
(a + b)^2 = (a + b)(a + b)
What this mean is that (a + b) is common to both expressions and we have it as the highest common factor
Please help besties!
Please help me A line that includes the point (3, 3) has a slope of 4. What
is its equation in slope-intercept form?
Answer:You can do this two ways: Either use the slope intercept form
y = mx + b with slope m=-2 so y = -2x +b
From that use x=5, y = -3 to solve for b
-3 = -2(5) + b
-3 = -10 + b
10-3 = b
7 = b
Your equation is: y = -2x + 7
OR
Use the point slope formula: y - y1 = m(x-x1)
with m = -2, (x1, y1) = (5,-3)
y-(-3) = -2(x-5)
y + 3 = -2x + 10
y = -2x + 10 - 3
y = -2x + 7
Step-by-step explanation:
Help if you can:
Which situation can be represented by the
integer 10?
a) A temperature drop of 10 F
b) 10 seconds before takeoff
c) A growth of 10 centimeters
d) A fall of 10 feet
The slideat the playground has a height of 6ft. The base of the slide measured on the ground is 8ft. What is the length of the slide?
Answer:
10 ft
Step-by-step explanation:
The length of the slide can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
6² + 8² =
36 + 64 = 100
c = √100
c = 10
What is true about this cylinder?
Answer:
2
Step-by-step explanation:
.....................
Find a pair of complementary angles. Show work to prove they are complementary.
Answer:
Hello! answer: 45 and 45 is a complementary angle and 60 and 30 is a complementary angle
Step-by-step explanation:
Complementary angles are just angles that add up to 90 degrees so... 45 + 45 = 90 60 + 30 = 90 so that is how those are complementary angles.
Hope that helps!
Answer:
angle QRT/angle VRT and angle SRW/angle WRV
Step-by-step explanation:
QRT and VRT: Both angles are 45 degrees, adding those degrees together gets you 90 degree angles meaning that they are complementary.
SRW and WRV: 60 plus 30 is equal to 90 making them complementary angles as right angles are 90 degrees
The length of the diameter, d, of the circle is 24 cm. Find the length of the radius, r, of the circle.
Rebecca paid $16.90 to place an advertisement in a local
newspaper. The newspaper charged $4.50 set up fee and $0.40
per word. How many words were in Rebecca's advertisement?
Answer:
31 words
Step-by-step explanation:
because the set up fee is 4:50$, minus this from the price Rebecca payed
16.90-4.50=$12.40
now divide this amount by $0.40 in order to get her word count
12.40÷0.40=31
Can someone help me
Answer:
36
Step-by-step explanation:
4 x (2 + 7) = 36
7th Grade triangle measurements
Answer:
ummmmmm....post the pic at least
Four students write the expression 3/8 as a fraction. Akemi w]rites 8/3 Jack writes 5/8,Lilly writes 3/8 and Steve writes 8/5 who is correct?
A. Akemi
B. Jack
C Lilly
D. Steve
:3
Can someone please help me in this question
Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Susanne checks the temperature at 11:00 a.m. She notices that, if the
temperature rises by 6 more degrees, it will break the record high temperature
for that day, which is 84 degrees.
Answer:
If you need the temperature at 11:00 am it is 78 degrees.
Step-by-step explanation:
84-6=78 degrees
The mathematical sentence that expresses the information is t + 8 > 82
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The current temperature is represented by t.
If the temperature rises by 8 degrees, then the new temperature would be t + 8.
The record-high temperature for that date is 82 degrees.
If t + 8 is greater than 82, then the temperature would break the record-high temperature for that date.
Therefore, the mathematical sentence that expresses the information above is t + 8 > 82
To learn more on Inequalities click:
https://brainly.com/question/28823603
#SPJ7
Susanne checks the temperature at 11:00 a.m. She notices if the temperature
rises by 8 more degrees, it will break the record-high temperature for that
date, which is 82 degrees.
If t= the temperature in degrees at 11:00 a.m., which mathematical sentence
expresses the information above?
A. t - 8<82
B. t + 8 < 82
O C. 1-8 > 82
D. † + 8 > 82
Question 7
What is the median of the following data set?
61,57, 49, 60, 45, 51, 57, 60, 53, 57, 55, 48, 65, 52
53
m
If the measure of angle is θ is 7pi/4 , which statements are true?
Answer:
[tex]\checkmark[/tex] [tex]\sin\theta=-\frac{\sqrt{2}}{2}[/tex]
[tex]\checkmark[/tex] [tex]\tan \theta = -1[/tex]
[tex]\checkmark[/tex] The measure of the reference angle is [tex]45^{\circ}[/tex]
Step-by-step explanation:
The reference angle of an angle is the magnitude of the smallest angle it makes with the x-axis. In this case, we have [tex]360-315=\boxed{45^{\circ}}[/tex] (*Note: [tex]\frac{7\pi}{4}=315^{\circ}[/tex], use [tex]\pi=180^{\circ}[/tex] to convert to degrees)
Step-by-step explanation:
Convert 7π/4 to degrees
You'll have 315°
Reference angle is the angle that a given angle makes with the abscissa or x-axis.
360-315 = 45°
THE MEASURE OF THE REFERENCE ANGLE IS 45°
C and D are correct also
PLEASE ANSWER QUICKLY
Answer: 17
Step-by-step explanation:
Answer:
B) 17
Step-by-step explanation:
Prime numbers are numbers that are not products of two smaller natural numbers. Everything except 17 is not prime cuz they can be derived from multiplying other numbers but 17 cannot be.
A line passes through the point (-9,5) and has a slope of
4/3
Write an equation in point-slope form for this line.
Answer:
y=4x/3+17
Step-by-step explanation:
4/3=y-5/x+9
y=4x/3+17
The equation in point-slope form for this line is -
(y - 5) = (4/3)(x + 9)
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a line that passes through the point (-9,5) and has a slope of
4/3.
The point slope form is given by -
(y - y₁) = m(x - x₁)
Now, we can write the equation as -
(y - 5) = (4/3)(x + 9)
Therefore, the equation in point-slope form for this line is -
(y - 5) = (4/3)(x + 9)
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
HELP ME PLEASE!!! I’ll mark brainly
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes
What is 972 written in standard form
Answer:
we will write 972 in standard form
Step-by-step explanation:
Standard form of a given number 972 is equals to 9.72 × 10².
What is standard form?" Standard form is defined as the mathematical expression, number, any equation , quantity with certain rules defined for it."
According to the question,
Given number = 972
Standard form of writing a number is
Given number should be express as a decimal number between 1.0 to 10.0
multiply by power of 10.
Standard form of 972 = 9.72 × 10²
Hence , standard form of a given number 972 is equals to 9.72 × 10².
Learn more about standard form here
https://brainly.com/question/26162664
#SPJ3