Answer:
20.5 years
Step-by-step explanation:
The population is given by the exponential function ...
p = 16000·(1 +0.022)^t
When p = 25000, we can find the value of t by taking logarithms.
log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log
t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t
It will take about 20.5 years for the population to reach 25000.
subtract 3x-7x³+5x² from the sum of 2+8x²-x³ and 2x³-3x²+x-2
Answer:
(2 + 8 x^2 - x^3) + (2 x^3 - 3 x^2 + x - 2) - (3 x - 7 x^3 + 5 x^2) = 8 x^3 - 2 x
Step-by-step explanation:
This table show the total distance d, in kilometers, a truck traveled after t hours. Which equation shows the relationship between d and t? d = 100t d = t + 300 d = 300t d = t + 100
Answer:
d=100t or d=300t depending on how much the truck travels for an hour because no image was provided i dont know
Step-by-step explanation:
A website is selling couches for $864. The site got the couches at a cost of $320. What percentage is the mark-up?
The area of the triangle below is 5/12 square feet. What is the length of the base. Express you answer as a fraction.
Answer:
5/3 ft
Step-by-step explanation:
you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.
hope the made sense.
True or false: In(x+y)- In(x+y)=0. Explain your thinking.
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf ln(x + y) - ln(x + y) [/tex][tex] \sf ln( \frac{x + y}{x + y} ) [/tex][tex] \sf ln(1) [/tex][tex] \sf0[/tex][ Since, ln (1) = 0 ]
Therefore, the statement is true ~
Answer:
In(x+y) - In(x+y)
= In([tex] \frac{x + y}{x + y} [/tex])
= In(1)
=0
Hence, the statement is true!!
For what value of x is line a parallel to line b?
Answer:
x = 22
Step-by-step explanation:
4x + 28 = 116 (corresponding angles are equal when two lines are parallel)
4x = 88
x = 22
Corresponding angles must be equal
[tex]\\ \tt\hookrightarrow 4x+28=116[/tex]
[tex]\\ \tt\hookrightarrow 4x=116-28[/tex]
[tex]\\ \tt\hookrightarrow 4x=88[/tex]
[tex]\\ \tt\hookrightarrow x=22[/tex]
Someone help me with this please
Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees
Step-by-step explanation:
(3(x+1))+(x+5)=180 degrees
4x+8=180
4x=172
x=43
using these we plug in.
ABC = is 3(44) + (48) = 180
DBC = 43+5 = 48
The grass in Jamie's yard grew 16 centimeters in 10 days. It was growing at a constant rate.How many days did it take the grass to grow 1 centimeter?How many centimeters did the grass grow in 1 day
Answer:
Step-by-step explanation:
16 cm / 10 days = 1.6 cm/day
10 days / 16 cm = 0.625 days/cm
Solve for all values of y in simplest form.
|4 - 5y| = 16
Answer:
[tex]y=-\frac{12}{5}[/tex]
I think this is the correct answer
A furniture maker used 5/6 of a can of paint to paint some chairs. He used 1/6 of a of paint for each chair. How many chairs did he paint? Write your answer as a fraction or as a whole or mixed number.
Answer:
5 chairs
Step-by-step explanation:
then you'd get 5 so the answer is 5.
Just divide 5/6 / 1/6,
Answer:
5
Step-by-step explanation:
This is a question of division, the total quantity of paint used will be the amount of paint needed per chair × the number of chairs;
This is an equation, which can be rearranged to give:
Number of chairs painted = total paint used/paint needed per chair
Total paint used = ⅚
Paint needed per chair = ⅙
Therefore:
Number of chairs painted = (⅚)/(⅙)
Number of chairs painted = ⅚ × 6
Number of chairs painted = 5
Please Help Me!
Solve for x. Round to the nearest tenth if necessary.
Paula has $3,281 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 1 year?
(compound interest Formula)
Answer:
$262.48Step-by-step explanation:
Given:
Saving amount P = $3281Interest rate r = 8% or 0.08Compound number n = 1Time t = 1 yearFind the total amount in 1 year:
[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]
Work out the area of the shaded shape.
5m
9m
11m
8m
The diagram is not drawn to scale.
What is the slope of the line that passes through the points (-5, -5 ?(−5,5)?
Answer:
undefined
Step-by-step explanation:
I'm assuming the points are (-5,-5) and (-5,5)
The formula to do slope is: (y2-y1)/x2-x1)
2 points: (x1, y1) (x2, y2)
So then:
(5-(-5))/(-5-(-5))=10/0
This shows that the line is vertical, which means that slope is undefined.
Answer:5/65/6
The slope of the line passing through the point (5,5) is 5/6.
Step-by-step explanation:
Express the following as:
ax+by+c=0
-2x+3y=6
[tex] \color{magenta} \huge{answer}{} [/tex]
it can be expressed as -2x + 3y = 6on comparing with ax+by+c=0
We can find out that
[tex] \green{ \huge{a= -2}{} }[/tex]
[tex] \pink{ \huge{b = 3}{} }[/tex]
[tex] \color{magenta} \huge{c = 6}{} [/tex]
hope it helpsThe expression -22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0
Linear EquationsThe given equation is:
-2x + 3y = 6
Comparing the equation above with ax + by + c = 0
Rewrite -2x + 3y = 6 in the form ax + by + c = 0
-2x + 3y - 6 = 0
If -2x + 3y - 6 = 0 is compared with ax + by + c = 0
a = -2, b = 3, c = -6
Therefore, the expression-22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0
Learn more on linear equations here: https://brainly.com/question/14323743
Please help with this math problem!! IT'S DUE TONIGHT AT 11:59PM!! NO LINKS PLEASE!! :)
Answer:
[tex]c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7[/tex]
Step-by-step explanation:
check this pls
but im not sure;-)
pa heart and 5 star
if check po
Answer:
[tex]C= -2p+5, \text{where slope is} ~-2.[/tex]
Step by step explanation:
True or false 6 to the 3 power = 216
Answer:
True
Step-by-step explanation:
6^3, or 6x6x6, is equal to 216.
---
hope it helps
Answer:
true
Step-by-step explanation:
£3 is €4.
Convert £30 to euros.
A girl goes on an epic 9-hour snowshoeing truck, and her velocity time graph is shown below, with velocity shown in miles per hour and time shown in hours.
A. When is her velocity at its maximum? What is that maximum velocity?
B. How far did she travel during the first 3 hours?
C. How far does she travel during her entire hike?
D. What is her average velocity during the hike?
a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) The girl travels a distance of 6 miles in the first 3 hours.
c) The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity of the girl is approximately 2.476 miles per hour.
a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:
[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)
Where:
[tex]\Delta t[/tex] - Time interval, in hours.[tex]v(3)[/tex] - Final velocity, in miles per hour.If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:
[tex]\Delta x = (2)\cdot (3)[/tex]
[tex]\Delta x = 6\,mi[/tex]
The girl travels a distance of 6 miles in the first 3 hours.
c) The travelled distance is determined by the following geometric expression:
[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)
If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:
[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]
[tex]\Delta x \approx 22.283\,mi[/tex]
The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.
[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)
If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:
[tex]\bar v = \frac{22.283}{9}[/tex]
[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]
The average velocity of the girl is approximately 2.476 miles per hour.
To learn more on kinematics, we kindly invite to check this verified question: https://brainly.com/question/24486060
Hey can u help me plsss I really need help don’t just press for points.
how do we hel you , ca we get a description
pls help i really dont understand this
Answer:
Slope: -1
y intercept: -3
equation: y=-1x-3
Step-by-step explanation:
The y intercept is when x is zero.
PLEASE HELP QUESTION IN PICTURE
Answer:
16 units
Step-by-step explanation:
Y=-1,X+2y=-6 solve by substitution show all work
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]x+2y=-6[/tex]
[tex]y=-1[/tex]
_________
[tex]x+2\left(-1\right)=-6[/tex]
[tex]x-2\times \:1=-6[/tex]
Multiply: 2*1= 2
[tex]x-2=-6[/tex]
Add 2 to both sides:
[tex]x-2+2=-6+2[/tex]
[tex]x=-4[/tex]
________________
* Hope it helps
* Have a good day!
________________
Answer:
x = -4, y = -1
Step-by-step explanation:
Simple, just plug the Y in
(Pemdas)
x+2(-1) = -6
x-2 = -6
x = -4
-4+2y = -6
2y = -2
y = -1
2x-5y=9 y-3x=-7 solve by substitution
x
=
2
and
y
=
−
1
Explanation:
y
=
3
x
−
7
and
2
x
−
5
y
=
9
Substitute for
y
2
x
−
5
(
3
x
−
7
)
=
9
Simplify
2
x
−
15
x
+
35
=
9
Keep going and get
−
13
x
=
−
26
So
x
=
2
Now find
y
y
=
3
x
−
7
→
3
(
2
)
−
7
y
=
−
1
Matthew wants to buy a new pair of jeans. If the jeans were originally $65.00, but are on sale with a 10% discount, how much will Matthew have to pay for the jeans?
10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)
Multiply the original price by 90%
65.00 x 0.90 = 58.50
He will pay $58.50
Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Apples (lb) Peaches (lb)
x y
0 10
1 8.75
2 7.5
4 5
6 2.5
8 0
Answer:
Different ways to answer this question
Step-by-step explanation:
You can do a ratio of 1:4 apples and 1:5 oranges
Two ships leave a harbor together traveling
on courses that have an angle of 128°
between them. If they each travel 543 miles,
how far apart are they (to the nearest mile)?
A) 976 mi
B) 476 mi
C) 42 mi
D) 1952 mi
Answer:
use cosine law
x^2 = 543^2 + 543^2 - 2(543)(543cos 128°
solve for x
Step-by-step explanation:
Can someone plz help Me?
Answer:
i am pretty sure its C
Step-by-step explanation:
simplify 7 1/3t-(10 2/3t-6) it looks crazier than it is pls help
Answer:
7/3t-2(10/3t-3)
Step-by-step explanation:
7*1/3t=7/3t
-(10*2/3t-60)=-2(10/3t-3)
=7/3t-2(10/3t-3)
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?
Answer:
1
Step-by-step explanation: