[tex]P=250000e^{0.013t}\implies \stackrel{P}{450000}=250000e^{0.013t}\implies \cfrac{450000}{250000}=e^{0.013t} \\\\\\ \cfrac{9}{5}=e^{0.013t}\implies \log_e\left( \cfrac{9}{5} \right)=\log_e(e^{0.013t})\implies \ln\left( \cfrac{9}{5} \right)=0.013t \\\\\\ \cfrac{\ln\left( \frac{9}{5} \right)}{0.013}=t\implies 45.21\approx t\qquad \textit{about 45 years, 2 months and a half}[/tex]
What is the approximate value of q in the equation below? q log subscript 2 baseline 6 = 2 q 2
The approximate value of q in the equation below is 0.584
Logarithmic functionsGiven the log expression as shown below;
q + log2(6) = 2q + 2
Collect the like terms
q - 2q = 2 - log(2)6
-q = 2 - log(2)6
-q = log(2)4 - log(2)6
-q = 2 -2.584
-q = -0.584
q = 0.584
Hence the approximate value of q in the equation below is 0.584
Learn more on logarithm here: https://brainly.com/question/237321
Written as a simplified polynomial in standard form, what is the result when (x-2)^2(x−2) 2 is subtracted from 8x8x?
Answer: apply the distributive property to factor out the greatest cmoon factor of alll three terms
Step-by-step explanation: apply the distributive property to factor out the greatest cmoon factor of alll three terms
If Billy has a 116 foot long string of yarn, which is 44 feet longer than the string of yarn that Sally has, then how long is Sally's string?
Pls help
Answer:
Sally's string is 72 feet long.
Step-by-step explanation:
You just do 116-44= 72 feet!
Hope this helps!
Solve each equation and show all work plis 115 = -6k - 5
Answer:
Answer: k = - 20
Step-by-step explanation:
Solution
115 = -6k - 5 Add 5 to both sides
115+5 = - 6k - 5+5 Combine
120 = - 6k Divide by - 6
120/-6 = -6k/-6
-20 = k
Answer: -20
Step-by-step explanation:115 = -6k-5
Add5 to both sides
120= -6k
Divide both sides by 6
20= -k
K = -20
Which statement explains the type of function that is represented by the equation
y = 2* + 1?
А The function is linear because it contains only one term.
В The function is linear because it is in slope-intercept form.
с The function is nonlinear because the variable is an exponent.
D
The function is nonlinear because it contains more than one term.
Answer:
C
Step-by-step explanation:
The function has a variable that will make the graph curve up.
The athletic department wants to paint the school’s mascot logo on the gym wall. They start by painting a solid blue circle on the wall. The circle has an area of 78.5 ft^2.`What is the radius of the circle?
Answer:
divide the area by 2 to get answer
I need help with this
Write it as a whole number, fraction or improper faction only
Answer:
3/4
Step-by-step explanation:
The two rectangles below are similar. Which ratio will help to find the value of the missing side of the rectangle? A 2.1/6.3=8.7/X B 8.7/X=6.1/2.1 C 6.3/8.7=2.1/X D 6.3/8.7=X/2.1 31 POINTS WILL GIVE BRAIN LIST IF ITS IS RIGHT
Answer:
A) 2.1/6.3 = 8.7/X
Step-by-step explanation:
If two rectangles are similar, the ratio of the two shorter sides should equal the ratio of the two longer sides.
The two shorter sides are 2.1 cm and 6.3 cm
The two longer sides are 8.7 cm and X.
Therefore, as ratios:
2.1 : 6.3 = 8.7 : X
⇒ 2.1/6.3 = 8.7/X
Answer:
answer c Step-by-step explanation:
What is the perimeter of the triangle?
units
to calculate perimeter of triangle use a+b+c
hope it helps...!!!
The Copper river school district collected data about class size in the district.The table shows the class sizes for five randomly selected seventh- and eighth-grade classes
Answer:
A
Step-by-step explanation:
A because the mean absolute deviation of an eighth grade class is less than that of a seventh grade class. Also, the class size is larger on average for eighth graders (35>31).
What is your speed if you can run a distance of 500 meters in 3 minutes.
*pls give me a solution*
Answer:
6.2 miles per hour
1 min = 60 seconds
3 min = 180 seconds
HELP HELP HELP HELP PLSSSSSSSSSsss
Percent of Discount 80% Sale Price $90 find Original Price
Answer:
18%
Step-by-step explanation:
its a long story
SCREEEEEEEEEEEEEEEEEEEEEE-
Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator. I chose a = 9 and b = 14
I'm stuck :(
Let's plug in a = 9 and b = 14
[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2)\\\\9^3 + 14^3 = (9+14)(9^2 - 9*14 + 14^2)\\\\9^3 + 14^3 = (9+14)(81 -126 + 196)\\\\9^3 + 14^3 = (23)(151)\\\\9^3 + 14^3 = 3473\\\\[/tex]
It is possible to calculate the terms on the right hand side without a calculator. You can either memorize things, do mental math, or use pencil/paper to do the scratch work.
As a way to verify things,
[tex]9^3 = 9*9*9 = 729\\\\14^3 = 14*14*14 = 2744\\\\9^3+14^3 = 729+2744 = 3473\\\\\text{Therefore, } 9^3 + 14^3 = 3473 \text{ has been proven correct}\\\\[/tex]
Use the volume formula to find the volume of the prism.
|
NI
2
N
O A. 2, cubic units
B. 5 cubic units
C. 9 cubic units
D. 4 cubic units
Answer:
[tex]D.\ 4\frac{1}{2}[/tex]
Step-by-step explanation:
Remember : 1 1/2 = (2+1)/2 = 3/2
Formula :
[tex]\large \text Volume\ V \ of \ a \ rectangular \ prism \ =base\ \times\ height[/tex]
Then
[tex]V=\left( 2\times 1\frac{1}{2} \right) \times 1\frac{1}{2}[/tex]
[tex]=\left( 2\times \frac{3}{2} \right) \times \frac{3}{2}[/tex]
[tex]=3 \times \frac{3}{2}[/tex]
[tex]=\frac{9}{2}[/tex]
[tex]=\frac{8+1}{2} = \frac{8}{2} +\frac{1}{2} =4+\frac{1}{2} =4\frac{1}{2}[/tex]
Chris needs to buy a $100 graphing calculator for his math class his neighbors will pay him $5 per hour to babysit and father gave him a $10 for mowing the lawn what is the minimum number of hours he will need to babysit for him to buy his calculator.
I need a inequality, the anwser to the inequality and the final anwser
Answer:
18 hours
Step-by-step explanation:
Babysit: $5/hour
One time job: $10
Let x = number of hours.
5x + 10 ≥ 100
5x ≥ 90
x ≥ 18
Answer: 18 hours
HELPP i dont under stand this
Answer:
your answer is 50
( ◜‿◝ )♡
hope this will help you!!
X: 2,4,6,8,10
y: 1,3,5,6,9
what is the domain and range?
Check the picture below.
PLS HELP ME I NEED THIS ANSWER ASAP 20 POINTS!
1.Two numbers are divided and the quotient is positive. If one number is negative, what is true of the other number?
It could be positive or negative.
It is positive.
It is 0.
It is negative.
2.If 34 x 27 = 918, which of the following is true?
918 ÷ (-34) = 27
-918 ÷ 34 = -27
-918 ÷ 27 = 34
918 ÷ 27 = -34
3. Dividing by a negative number will give a negative quotient.
True
False
Answers:
1: Option B: It is positve
2: Option B: -918 ÷ 34 = -27
3: Option B: False
( if the questions context is ONLY talking about dividing positives by a negative then its true, else if they are talking about ANY circumstance, even if negatives are divided by a negative then its false )
Step-by-step explanation:
For question 3:
When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative. When you divide two negative numbers then the quotient is positive. The same rules hold true for multiplication.
Hope this helped :)
Order the triangles by the number of equal sides from least to greatest.
equilateral
scalene
isosceles
Answer:
Scalene
Isosceles
Equilateral
Step-by-step explanation:
Scalene have no equal
Isosceles have 2
Equilateral has 3
Step-by-step explanation:
Scalene triangle
Isosceles triangle
Equilateral triangle
Solve the Equation sec (theta)=2 for 0<2.
θ
=
2
π
3
+
2
π
n
,
4
π
3
+
2
π
n
, for any integer
n
[tex]~~~\sec \theta = 2\\\\\implies (\cos \theta)^{-1} = 2\\\\\implies \cos \theta =\dfrac 12\\ \\\implies \theta = 2n\pi \pm \dfrac{\pi}3[/tex]
can you solve this
−48t+2≤−71t+14
Answer:
t<=12/23 -48t+2<=-71t+14
If −x−10y=2 is a true equation, what would be the value of 3x+30y?
Answer:
-6
Step-by-step explanation:
We are given that -x-10y=2 is a true equation so by multiplication property of equality, we can multiply everything by -3 on both sides. This gives us 3x+10y=-6
what percent of 30 is 27?
Answer:
the answer is 90%, 90% of 30 is 27
Which of the following facts did you include in your
explanation? Check all of the boxes that apply.
The value of c could be 5 or any number
greater than 5.
The solution is the intersection of both
solution sets of the given inequalities.
The solutions of the compound inequality
must be solutions of both inequalities.
A number cannot be both less than 5 and
greater than 5 at the same time.
All of the above :D
Sure hope this is helpful for you
two robbers left a jewelry store at the same time. one robber stole 9 diamonds and 3 gold earrings worth a total of $7500. the second robber stole 5 diamonds and 8 gold earrings worth a total of $6700. what is each diamond worth? what is each earrings worth?
Answer: diamond is 700 Earring is 400
Step-by-step explanation:
9D + 3G = 7500
5D + 8G = 6700
G =( 7500 - 9D) /3
2. To solve this system using the addition method, you would need to multiply the first equation
by what number in order for the y's to add out? 3x-y=3 -2x + 2y = 6
19 divided by 5 please solve it
Answer: 3.8 in decimal form.
Step-by-step explanation:
19/5=3.8
Find the possible values of m when straight line y=mx is tangent to curve y=2x² +8.
Answer: 4
Step-by-step explanation:
[tex]\sf what's \:the\: AnSwEr?[/tex]
[tex]\bf 5x+3x+2y+4y[/tex]
Step-by-step explanation:
Expression given,
[tex] \\ \longrightarrow \qquad \sf 5x+3x+2y+4y \\ \\ [/tex]
Here, in the expression we have to find the like terms.
So from the expression we that, 5x and 3x are like terms and 2y and 4y are like terms too, so now we have to combine them and then we will get a new expression so.
[tex]\\ \longrightarrow \qquad \sf 8x + 6y \\ \\ [/tex]
So, 8x + 6y is the new expression.