9514 1404 393
Answer:
D. k = In(1.25)/8
Step-by-step explanation:
Solve the equation for k. Maybe you want to put the numbers in first.
[tex]y=n\cdot e^{kt}\\\\625=500e^{8k}\qquad\text{use the given values}\\\\1.25=e^{8k}\qquad\text{divide by 500}\\\\\ln{(1.25)}=8k\qquad\text{take the natural log}\\\\\boxed{k=\dfrac{\ln(1.25)}{8}}\qquad\text{divide by 8}[/tex]
_____
That's about 2.7893%
The line passes through the point (-4,1) and is perpendicular to the line y=1/2x-4.
Answer:
y=-2x-7
Step-by-step explanation:
lines are typically written in y=mx+b form, where m is the slope and b is the y intercept
we are given the line y=1/2x-4
perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1
so to find the slope of the new line, use this formula:
1/2m=-1
multiply by 2
m=-2
so the slope is -2
here's the equation so far, written in y=mx+b form
y=-2x+b
we need to find b
because the line passes through the point (-4,1), we can use it to solve for b
substiute -4 as x and 1 as y
1=-2(-4)+b
1=8+b
-7=b
so b is -7
therefore the line is:
y=-2x-7
Hope this helps! :D
Dell's coffee shop sells cappuccinos, mochas, and lattes. The table gives the number of servings of each beverage sold in a day. Small Medium Large Cappuccino 70 55 62 Mocha 42 34 39 Latte 59 63 47 For a particular serving size, all three coffee drinks cost the same. A small serving costs $1.50, a medium serving costs $2.00, and a large serving costs $2.50. Which matrix gives the revenue generated from sales of each of the three beverages?
Answer:
[tex]C\left[\begin{array}{ccc}370\\228.5\\332\end{array}\right][/tex]
Answer:
C
Step-by-step explanation:
i have verified on the internet with other websites
Find a such that the points A(1, 3), B(7, 8), and C(a, a) are collinear.
Answer:
a = 13
Step-by-step explanation:
a = 13
A photocopy machine can copy 42 pages every two minutes. How many pages can it
photocopy in 5 minutes?
Answer choices
4.2
420
105
21
Answer:
C. 105Step-by-step explanation:
2 min → 42 pages5 min → xCross-multiply and solve for x:
x = 5*42/2x = 105 pagesCorrect choice is C
Find x in each triangle.
Answer:
9
Step-by-step explanation:
9 squared plus 40 squared= 41 squared
a fruit ponch can is 1/4 or 35 L ?
Answer:
35 L
Step-by-step explanation:
because it cant be 1/4
can some help me with the question below I don't know the answer
Answer:
y=4
Step-by-step explanation:
in a 45-45-90 triangle sides a and b are equal and the hypotenuse is [tex]a\sqrt{2}[/tex]
so in this case y is a leg, so it is 4
in case there is a part two where they ask what x is, it would be [tex]4\sqrt{2}[/tex]
Select the values that make the inequality -n< −4 true. Then write an equalivalent inequality, in terms of nn. (Numbers written in order from least to greatest going across.)
values: -9 -5 -4.1 -4 -3.9 -3 -1 0 1 3 3.9 4 4.1 5 and 9
Answer:
values that make the inequality true would be any absolute number that is bigger than 4
so that would be n>5
Step-by-step explanation:
Find the volume of the figure to the nearest tenth.
Answer:
150.8
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi \:{r}^{2} \\ v = \frac{4}{3} \pi \:{6}^{2} \\ v = 150.8[/tex]
Hopefully this'll help you out!
Find the equation of this line shown
In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction of students in the class has protractors?
Answer:
[tex]\frac{11}{20}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5} - \frac{1}{4}[/tex] Subtract the students who don't have protractors from the students who have mathematical instruments.
[tex]\frac{11}{20}[/tex]
9514 1404 393
Answer:
3/5
Step-by-step explanation:
We assume that every student with mathematical instruments who hasn't lost their protractor will have a protractor.
If 1/4 of the students with instruments lost their protractor, then the remaining 3/4 of students with instruments still have their protractors. The fraction of the class with protractors is ...
(3/4)(4/5) = 3/5
3/5 of the students in the class have protractors.
Find the measure of 43.
43
75
43 = [?]
Answer:
<3=105°
Step-by-step explanation:
The angle directly to the right of the 75° angle is 105°, as the angles along a straight line add to 180.
<3=105° because they are corresponding angles
Answer:
Solution given:
<3+75=180[co- interior angle]
<3=180°-75°=105°
<3=105°
what is equivalent to
(3x+1)(4x-1)
Two dice are tossed. Find the probability of getting the sum of the dice equal to 1.
Here's the Answer,
the given outcome is an impossible event, because the sum of numbers can't be less than 2 hence, sum equal to 1 isn't possible.
And we know, the probablity of an impossible event is 0.
Bill washes his mom's car once every 2 weeks and gets paid $20.00 each time. How much does he earn in 22 weeks?
$264.00
$240.00
$176.00
$220.00
Next
Reset
Answer:
Bill earns $220.00 in 22 weeks.
Step-by-step explanation:
If he is paid 20 dollars every 2 weeks for a car wash, we need to find out how many he gets for 22 weeks.
20 dollars = 2 weeks, to find 22, multiply both of the values by 11 to get to 22.
11(2 weeks = 20 dollars)
22 weeks = 220.
The amount of money earned in 22 weeks is $220.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The amount for each car wash = $20
Number of car wash in two weeks = 1
Now,
Number of car washes in 22 weeks.
= 22 / 2
= 11
Now,
The amount earned in 11 car washes.
= 11 x 20
= $220
Thus,
Amount earned in 22 weeks is $220.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
In a grocery store, the total number of cashiers and stockers must be at least 12 but not more than 20. There must be at least 5 cashiers and
at least 3 stockers.
Let x represent the number of cashiers and y represent the number of stockers.
Which system of inequalities can be used to find the number of cashiers and stockers required?
A
(x>5
ly> 3
x + y > 12
x + y > 20
C.
(x>5
y> 3
x + y > 12
(x + y<20
B.
(x 25
y23
x + y s 12
(x + y = 20
D.
(x25
y23
x + y 2 12
(x + y s 20
PLZ help! Find the surface area and volume. Leave your answers in terms of TT.
1. Radius (r) of the sphere = 10 units. (Given)
• Surface area of the sphere = 4πr².
Surface area of the sphere = 4 × π × (10)²
Surface area of the sphere = 4 × π × 10 × 10
Surface area of the sphere = 400π units. (Ans)
And,
• Volume of the sphere = 4/3πr³.
Volume of the sphere = 4/3 × π × (10)³
Volume of the sphere = 4/3 × π × 10 × 10 × 10
Volume of the sphere = 4000π/3
Volume of the sphere = 1333.3π cubic units. [approx] (Ans)
__________________________________
2. Diameter of the sphere = 16 units. (Given)
Radius (r) of the sphere = 16/2 = 8 units.
• Surface area of the sphere = 4πr².
Surface area of the sphere = 4 × π × (8)²
Surface area of the sphere = 4 × π × 8 × 8
Surface area of the sphere = 256π units. (Ans)
And,
• Volume of the sphere = 4/3πr³.
Volume of the sphere = 4/3 × π × (8)³
Volume of the sphere = 4/3 × π × 8 × 8 × 8
Volume of the sphere = 2048π/3
Volume of the sphere = 682.6π cubic units. [approx] (Ans)
__________________________________
3. Radius (r) of the sphere = 5 units. (Given)
• Surface area of the sphere = 4πr².
Surface area of the sphere = 4 × π × (5)²
Surface area of the sphere = 4 × π × 5 × 5
Surface area of the sphere = 100π units. (Ans)
And,
• Volume of the sphere = 4/3πr³.
Volume of the sphere = 4/3 × π × (5)³
Volume of the sphere = 4/3 × π × 5 × 5 × 5
Volume of the sphere = 500π/3
Volume of the sphere = 166.6π cubic units. [approx] (Ans)
__________________________________
4. Diameter of the sphere = 18 units. (Given)
Radius (r) of the sphere = 18/2 = 9 units.
• Surface area of the sphere = 4πr².
Surface area of the sphere = 4 × π × (9)²
Surface area of the sphere = 4 × π × 9 × 9
Surface area of the sphere = 324π units. (Ans)
And,
• Volume of the sphere = 4/3πr³.
Volume of the sphere = 4/3 × π × (9)³
Volume of the sphere = 4/3 × π × 9 × 9 × 9
Volume of the sphere = 2916π/3
Volume of the sphere = 972π cubic units. (Ans)
__________________________________
Which triangles are similar to △DEF?
Answer:
I believe it should be feg
PLZ CLICK!! Need help ASAP! I have a time limit.
Answer:
what's the question for this?
Answer:
33
Step-by-step explanation:
so this is perimeter and area
What is the next number in the pattern?
Answer:
9
Step-by-step explanation:
3 3/4= 3.75.
3.75-2=1.75
1.75+5.5=7.25 or 7 1/4
7.25+1.75=9
In a class of 28 students, 10 are female and 15 have an A in the class. There are 4
students who are female and have an A in the class. What is the probability that a
student chosen randomly from the class is a female who has an A?
Answer: 10 out of 28 chancd
Step-by-step explanation:
Answer:
4/28
Step-by-step explanation:
trust me
The distance between P and Q is
Answer:
5
Step-by-step explanation:
[tex] \sqrt{ {(9 - 6)}^{2} + {(6 - 2)}^{2} } = \\ \sqrt{ {3}^{2} + {4}^{2} } = \\ \sqrt{25} = \\ 5[/tex]
A concrete wall is .5 yards wide 5 yards long and 2.5 yards high. Concrete cost 90$ per cubic yard what is the cost of the wall
Answer:
$562.50
Step-by-step explanation:
1) Find the volume
V = base x width x height = 5 x 0.5 x 2.5 = 6.25 in^3
2) Multiply the nearest whole number x 90
cost = 6 x 90 = $540
3) find the cost of 0.25 in^3
90 : 4 = 22.5
4) find the total cost
540 + 22.5 = $562.50
1)
Volume=
Help hhvddhhdbdbdhdjdjddbbdbdbdbdbdbdbdbdbdbdbdbdbdbdb please
Answer:
there have to be a number
Step-by-step explanation:
Salina's age is one-quarter the age of her aunt. If a represents her aunt's age, which expression represents Salina's
age?
4a
a-4
a+4
A over 4
Answer:
D. A over 4
Step-by-step explanation:
One quarter is equal to [tex]\frac{1}{4}[/tex]. If her aunt is age 'a', than Salina's age is a/4
Hope this helps.
Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.
Of 220 seventh-grade students, 25% earn the Community Service Award. How many students earn the award?
Answer:
55 students
Step-by-step explanation:
all you do is 220*.25 and you get the answer
Simple questions!!
I dont need a link!
The first questions are the same as the secong so I need help
Answer:
First Circle
Radius = 6
Diameter = 12
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 6 = 37.68
2nd Circle
Radius = 3
Diameter = 6
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3 = 18.84
Hope This Helps!
When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.
Required:
Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.
Answer:
The differential equation is [tex]\frac{dR}{dt} = -kR[/tex]
Step-by-step explanation:
Differential equation for the rate of change in radiation level:
Radiation level is R.
Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:
[tex]\frac{dR}{dt}[/tex]
After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.
Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:
[tex]\frac{dR}{dt} = -kR[/tex]
Can someone please help me I will give u brilliant
Answer:15
Step-by-step explanation:
Answer: The value of the median is 15.
Step-by-step explanation: