Answer:
I. k = -8
II. y = -96
Step-by-step explanation:
Given the mathematical expression and data;
y = 24
x = -3
y = kx (y varies directly as x).
To find the constant of proportionality k;
y = kx
Substituting the values into the expression, we have;
24 = k(-3)
24 = -3k
k = -24/3
k = -8
Next, to find the value of y when x = 12
y = kx
Substituting the values, we have;
y = -8 * 12
y = -96
A flower garden is the shape of a circle. The circumference of the garden is 20 meters. What is the area of the garden. Use 3.14 for pie and round your answer to the nearest whole number.
Answer:
Circumference = 2 pi r = 2*3.14 *r = 20
radius r = 20 / 2*314 = 3.185
Area = pi r^2 = 3.14 * 3.185^2 = 32 m^2 to nearest whole number
50% of the trees are fruit trees .this means that?
Answer:
Half of the trees are not fruit trees
Answer:
It means that half of the trees are fruits while the other half sprouts vegetables.
Step-by-step explanation:
100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)
Solve the equation a=m-n for the variable n
Answer:
m-a = n
Step-by-step explanation:
a=m-n
Subtract m from each side
a-m = m-n-m
a-m = -n
Multiply each side by -1
-a+m = n
m-a = n
Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer
Answer:
The second integer is greater than the first.
Step-by-step explanation:
Since the first integer is the leftmost out of the two, this means that the second one must be greater than the first since it is to the right of it.
Answer:
c
Step-by-step explanation:
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 10% in 10 years. What will be the population in 20 years? (Round your answer to the nearest person.)
510
Incorrect: Your answer is incorrect.
persons
How fast (in persons/yr) is the population growing at
t = 20?
(Round your answer to two decimal places.)
persons/yr
Answer:
The right answer is "605 persons".
Step-by-step explanation:
Given that,
⇒ [tex]\frac{dP}{dt} \alpha P[/tex]
or,
⇒ [tex]\frac{dP}{dt} =RP[/tex]
⇒ [tex]\frac{1}{R} \int\limits^{PT}_{500} {\frac{dP}{P} } = \int\limits^{t}_{0} dt[/tex]
⇒ [tex]\frac{1}{R} [log PT-log500]=t[/tex]
⇒ [tex]log[\frac{PT}{500} ]=Rt[/tex]
At t = 10 years,
⇒ [tex]PT=\frac{110}{100}\times 500[/tex]
[tex]=550[/tex]
∴ [tex]log[\frac{550}{500} ]=R\times 10[/tex]
[tex]R=\frac{log(1.1)}{10}[/tex]
At t = 20,
⇒ [tex]log{\frac{PT}{500} }=\frac{log \ 1.1}{10}\times 20[/tex]
[tex]PT=500\times (1.1)^2[/tex]
[tex]=605 \ persons[/tex]
please help me with these questions
Answer: 24- b 25- c 26- b 27- c
Step-by-step explanation:
sometimes you have to divide the diamter by 2 to get the radius.
true
false
it is true
tbh am not sure
The side view is a bookend is shown. The perimeter of the bookend is 58 centimeters
Answer:
Step-by-step explanation:
The equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.
Given that, the perimeter of the bookend is 58 centimeters.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Now, the perimeter is
5m-14+2m-7+3/2 m+2+3m+8=58
⇒ 10m+3/2 m-11=58
⇒ (20m+3m)/2=69
⇒ 23m=138
⇒ m=138/23
⇒ m=6
Therefore, the equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
#SPJ2
A certain country has 586.08 million acres of forest. Every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)
Answer:
At this pace the country will have only 237.6 million acres of forest left in 44 years.
Step-by-step explanation:
Given that a certain country has 586.08 million acres of forest, and every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes, to determine, if this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left, the following calculation must be performed:
Current amount - (amount lost per year x number of years) = 237.6
586.08 - (7.92 x X) = 237.6
586.08 - 7.92X = 237.6
-7.92X = 237.6 - 586.08
-7.92X = -348.48
X = -348.48 / -7.92
X = 44
Therefore, at this pace the country will have only 237.6 million acres of forest left in 44 years.
I’m having a hard time anyone knows??
Answer:
65
Step-by-step explanation:
See image below:)
Please help me with this problem
Question: 5d - 6 + 8 -3d = 12
5d - 6 + 8 - 3d = 12
Combine like terms:
2d + 2 = 12
Subtract 2 from both sides
2d = 10
Divide both sides by 2
D = 5
Answer:
d = 5
Step-by-step explanation:
5d - 6 + 8 -3d = 12
Regroup
5d - 3d - 6 + 8 = 12
Combine like terms
2d + 2= 12
Subtract 2 from both sides
2d = 10
Divide both sides by 2
d = 5
{2x + y = -1}
{3x- 5y + -21}
Answer:
(-2, 3).
Step-by-step explanation:
2x + y = -1
3x- 5y = -21
Multiply the first equation by 5:
10x + 5y = -5 Adding this to the second equation:
13x = -26
x = -2.
Substituting this into equation 1:
2(-2) + y = -1
y = -1 + 4 = 3.
Checking this result in the second equation:
3(-2) - 5(3)
= -5 - 15 = -21
- Checks OK.
2 Probability of people that like cheese and can’t ride a bike
3 find the marginal probability of people that like pepper pizza
4 find the conditional of ppl that like cheese given that they can’t ride a bike
Use the table!!!!!!! QUICKKKKKK
Answer:
i think its 60%
Step-by-step explanation:
if its wrong im rlly sorry
mark me as brainliest if its right pls
Seventy-six percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 67% have an emergency locator, whereas 88% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)
Required:
a. If it has an emergency locator, what is the probability that it will not be discovered?
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Answer:
a. 0.0535 = 5.35% probability that it will not be discovered
b. 0.9465 = 94.65% probability that it will be discovered
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. If it has an emergency locator, what is the probability that it will not be discovered?
Event A: Has an emergency locator.
Event B: Not discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]
Probability of having an emergency locator and not being discovered:
12% of 24%. So
[tex]P(A \cap B) = 0.12*0.24[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]
0.0535 = 5.35% probability that it will not be discovered.
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Event A: Has an emergency locator.
Event B: Discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]
Probability of having an emergency locator not being discovered:
67% of 76%. So
[tex]P(A \cap B) = 0.67*0.76[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]
0.9465 = 94.65% probability that it will be discovered
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year. A possible formula for the concentration C as a function of year tis:
(a) C 85 +4.6t
(b) C-85-4.6t .
(c) C-85 +0.046t
(d) C-85 -0.046
(e) C = 85 (0.046)
(f) C-85 (0.954)
(g) C = 85 (1.046)
(h) C-85(1.46)
(i) C85(0.46)
(j) C-4.6 (0.85)
Answer:
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
Step-by-step explanation:
Equation for an concentration increasing exponentially:
The concentration after t years, considering that it increases exponentially, is given by the following equation:
[tex]C(t) = C(0)(1 + r)^t[/tex]
In which C(0) is the initial concentration and r is the growth rate, as a decimal.
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.
This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus
[tex]C(t) = C(0)(1 + r)^t[/tex]
[tex]C(t) = 85(1 + 0.046)^t[/tex]
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area
Perimeter = 2(length+breadth)
326= 2(98+b),
breadth= 65 cm
Area of rectangle = l×b = 98×65= 6370cm²
maya raised 286.00
lian raised 192.84 less than maya
rei earned 113.25 more than lian
what is the total amount of money raised by all three?
Answer:
585.57
Step-by-step explanation:
Maya got 286.00
if lian got 192.84 less than we do 286-192.84 which is 93.16
if lian got 93.16, we add 113.25 to 93.16 to get rei's amount.
113.25 + 93.16 = 206.41
Now we add all their amounts, 286+93.16+206.41
585.57
Find the ratio please help :mathematics
Answer:
answer is 19:13 .............
To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of
$72.95 on the balloons and a gift bag for each person invited to the party. Write and solve an equation to find x, the number of
people Mark invited to the party
Answer: [tex]72.95 =6.00+5.15x[/tex] , Required equation
The number of people Mark invited to the party = 13
Step-by-step explanation:
According to the question,
Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)
Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,
cost per gift =$5.15
thus,
[tex]72.95 =6.00+5.15x[/tex] , Required equation
To solve , first
subtract 6 from both sides, we get
[tex]66.95=5.15x\\\\\Rightarrow\ x=\dfrac{66.95}{5.15}\\\\\Rightarrow\ x=13[/tex]
The number of people Mark invited to the party = 13
please help
no links please
Answer:
3rd choice
Step-by-step explanation:
multiply by 9/5: F=9/5 C
then add 32: F = 9/5C +32
Case Study 2
Based on the success of their new treatment for sickle cell disease,
Amitye-Baane-Fortaleza research team decided to start a new company and
open a research center dedicated to curing diseases that disproportionately
affect Black people in the United States and around the world. They hired
an engineering and architecture firm called Bishapham-Cummins, Rice,
and Holloway LLC. They assigned their lead architects Fatoumata Sylla
and Leudy Tejada, along with lead engineers Jerome Wade, Neveah
Rodrigues and Jarell Hunte to design and build the new research center
based on the following square pyramid scale outline:
Answer:
good for them i think
Step-by-step explanation:
this doesnt make any sense
An eagle flies towards south luzon at 90 meters for 5 seconds . What is the speed and velocity of the eagle
Answer:
the speed in 18mph
Step-by-step explanation:
In a group of students. 20 study Account. 21 Study mathematics 18 study history 7 study account only 10 study mathematics only 6 study account and mathematics only and 3 study mathematics and history only.how many student are there altogether
Answer:
In total there are 50 students.
Step-by-step explanation:
Since in a group of students 20 study account, 21 study mathematics, 18 study history, 7 study account only, 10 study mathematics only, 6 study account and mathematics only and 3 study mathematics and history only, to determine how many student are there altogether the following calculation must be performed:
7 + 10 + 6 + 3 = 26
Account = 20 - 7 - 6 = 7
Mathematics = 21 - 10 - 6 - 3 = 2
History = 18 - 3 = 15
26 + 7 + 2 + 15 = X
50 = X
Therefore, in total there are 50 students.
simplify this fully x+x+y×y
Answer and Step-by-step explanation:
The answer would be 2x + 2y.
This is because we combine the x's together and the y's together. This is the simplest form of the expression.
#teamtrees #PAW (Plant And Water)
Answer:
2x+y^2
Step-by-step explanation:
Collect like terms and rewrite
2x+y*y
A rectangular garden covers 80 yd?. The length is 7 yd longer than the width. Find the length and width.
Round your answers to the nearest tenth of a yard.
Answer:
The width of the rectangle is 6,105 yards, and the length of the rectangle is 13,105 yards.
Step-by-step explanation:
Given that a rectangular garden covers 80 square yards, and the length is 7 yd longer than the width, to find the length and width of the rectangle the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its width by its length:
X x (X + 7) = 80
5 x 12 = 60
6 x 13 = 78
8 x 14 = 112
6.1 x 13.1 = 79.91
6,105 x 13,105 = 80
Therefore, the width of the rectangle is 6,105 yards, and the length of the rectangle is 13,105 yards.
A local university accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as a percent? (Show Work Please)
Answer:
2300/4500 = 23/45 = 0.511
As a percent,
0.511*100% = 51.1%
Step-by-step explanation:
since 100% = 1, this is multiplying by 1
Answer:
51.1%
Step-by-step explanation:
To find the answer you first need to find 1%=45
then you need to do 2300 divided by 45=51.1% or you can keep putting 111
Hope this is useful
- The area of a rectangle can be found by using A
24w + w2, where w represents the
width. What is the width of the rectangle when the area is 3456 in.2 ?
Answer:
26w
Step-by-step explanation:
3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is the volume of the top section?
Answer:
1. Volume of cone =
where h is the height of the cone and r is the radius.
2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm
so the volume = ()
3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.
V(cone)=
V(top section)=192-24=168
Step-by-step explanation:
What is The sum of b and 11
if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.
Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
