Answer:
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Step-by-step explanation:
Population of beetles in Week 0= 6
Population of beetles in Week 7= 83
From week 0 to week 7 there are 8 weeks.
But subtracting population of week 0 from population of week 7 gives
= 83-6
= 77
After the subtraction, we have 7 weeks remaining.
Dividing the remaining population by the number of weeks remaining
=77/7
= 11
For n number of weeks, population p of beetles
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Find the dimensions of a triangle given the base, height, and area. b=8 inches h=7 inches A=28 square inches
Answer:
Step-by-step explanation:
The formula for the area of a triangle of base b and height h is A = (1/2) (b)(h).
Here A = 28 in^2, so 28 in^2 = (1/2)(8 in)(7 in), or
28 in^2 = 28 in^2
compute 17÷2 enter your answer using remainder notation
Answer:8.5
Step-by-step explanation:
Evaluate each expression if a = 12, b = 9, and c = 4.
2c(a + b)
answers
312
336
45
168
Answer:
168
Step-by-step explanation:
2c(a+b) = 2 . 4 . (12 + 9) = 2 . 4 . 21 = 8 . 21 = 168
|14| > 14 true or false
Answer:
false
Step-by-step explanation:
since its the absolute value it will be equal to 14
HELP!!!!!
k+a=500(1). 3k+10a=3,600(2)
Which equation has at least one of its variables with a 1 as a coefficient?
Answer:
eqn 1. ( k + a = 500 )
Step-by-step explanation:
In eqn. 1 , both 'k' & 'a' have co-efficient as 1. But in eqn. 2 , 'k' has co-efficient as 3 & 'a' has co-efficient as 10.
Evaluate the triple integral ∭EzdV where E is the solid bounded by the cylinder y2+z2=81 and the planes x=0,y=9x and z=0 in the first octant.
Answer:
I = 91.125
Step-by-step explanation:
Given that:
[tex]I = \int \int_E \int zdV[/tex] where E is bounded by the cylinder [tex]y^2 + z^2 = 81[/tex] and the planes x = 0 , y = 9x and z = 0 in the first octant.
The initial activity to carry out is to determine the limits of the region
since curve z = 0 and [tex]y^2 + z^2 = 81[/tex]
∴ [tex]z^2 = 81 - y^2[/tex]
[tex]z = \sqrt{81 - y^2}[/tex]
Thus, z lies between 0 to [tex]\sqrt{81 - y^2}[/tex]
GIven curve x = 0 and y = 9x
[tex]x =\dfrac{y}{9}[/tex]
As such,x lies between 0 to [tex]\dfrac{y}{9}[/tex]
Given curve x = 0 , [tex]x =\dfrac{y}{9}[/tex] and z = 0, [tex]y^2 + z^2 = 81[/tex]
y = 0 and
[tex]y^2 = 81 \\ \\ y = \sqrt{81} \\ \\ y = 9[/tex]
∴ y lies between 0 and 9
Then [tex]I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \int^{\sqrt{81-y^2}}_{z=0} \ zdzdxdy[/tex]
[tex]I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{z^2}{2} \end {bmatrix} ^ {\sqrt {{81-y^2}}}_{0} \ dxdy[/tex]
[tex]I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{(\sqrt{81 -y^2})^2 }{2}-0 \end {bmatrix} \ dxdy[/tex]
[tex]I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{{81 -y^2} }{2} \end {bmatrix} \ dxdy[/tex]
[tex]I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81x -xy^2} }{2} \end {bmatrix} ^{\dfrac{y}{9}}_{0} \ dy[/tex]
[tex]I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81(\dfrac{y}{9}) -(\dfrac{y}{9})y^2} }{2}-0 \end {bmatrix} \ dy[/tex]
[tex]I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81 \ y -y^3} }{18} \end {bmatrix} \ dy[/tex]
[tex]I = \dfrac{1}{18} \int^9_{y=0} \begin {bmatrix} {81 \ y -y^3} \end {bmatrix} \ dy[/tex]
[tex]I = \dfrac{1}{18} \begin {bmatrix} {81 \ \dfrac{y^2}{2} - \dfrac{y^4}{4}} \end {bmatrix}^9_0[/tex]
[tex]I = \dfrac{1}{18} \begin {bmatrix} {40.5 \ (9^2) - \dfrac{9^4}{4}} \end {bmatrix}[/tex]
[tex]I = \dfrac{1}{18} \begin {bmatrix} 3280.5 - 1640.25 \end {bmatrix}[/tex]
[tex]I = \dfrac{1}{18} \begin {bmatrix} 1640.25 \end {bmatrix}[/tex]
I = 91.125
Your friend and your cousin discuss measuring with a ruler. Your friend says that you must always line up objects at the zero on a ruler. Your cousin says it does not matter. Decide who is correct and explain your reasoning.
Answer:
Your friend is correct.
Step-by-step explanation:
It is given that your friend says that you must always line up objects at the zero on a ruler. Your cousin says it does not matter.
We need to decide who is correct.
When we measure the length of any object we have to line up objects at the zero on a ruler, so that mark on the rules along the other end of the object represents the length of the object.
Let we have a pencil of length 5 cm.
If we place the rules on 0, then 5 is the mark on the rules along the other end of the pencil. So, height of the pencil is 5 cm.
If we place the rules on 1, then 6 is the mark on the rules along the other end of the pencil. So, height of the pencil is 6 cm, which is not correct.
Therefore, your friend is correct.
Which of the following quadratic functions has a graph that opens downward? A.y= 3/2x^2 -3x+15 B.y= 5/2x-3x^2 C.y= 3x^2-x-1 D.y= -(2x^2-1)
it says if
ax^2+bx+c=0
a<0
answer is D because, there is (-) near of x^2
Two of the sides of a triangle are 18 and 25. The length of the third side is also a positive integer. How many different possible values are there for the third side length? (Assume that the triangle is non-degenerate.)
If answered correctly in under 20 minutes. You shall be made brainliest. Thank you.
Answer:
35
Step-by-step explanation:
Third side = x
Any two sides of triangle is always greater than another one.
25+18>x, 43>x
25+x>18, x>-7
18+x>25, x>7
7<x<43
43-7-1=35
x + 3 = -3 what is x
x = - 6
Step-by-step explanation:x + 3 = - 3
x = - 3 - 3
x = - 6
Answer:-6
Step-by-step explanation:
X+3=-3
X=-3-3
X= -6
What are the amplitude and midline?
Amplitude: 2; midline: y = 3
Amplitude: 1; midline: y = 3
Amplitude: 2; midline: y = 1
Amplitude: 3; midline: y = 2
Answer:
Amplitude 3; midline y=2
Step-by-step explanation:
The midline is the mean of both ends of the function in the graph.
[tex]\frac{5-1}{2}=2[/tex]
The amplitude is the vertical distance between the midline and one of the end points.
[tex]5-2=3[/tex]
(sorry for the basic math, i just want to make sure you know where im getting the values from)
One number is two less than three times another. If their sum is decreased by two, the result is four. Find the numbers.
The smaller of the numbers is ___ and the larger is ___
Answer: The smaller of the numbers is 2 and the larger is 4.
Step-by-step explanation: 2x3-2=4. 2+4-2=4
Answer:
The bigger number is 1 and the smaller number is also 1
Step-by-step explanation:
One number is 2 less than 3 times another
x + 2 = 3y
If their sum is decreased by 2 the result is 4
(x + 2 + 3y) - 2 = 4
x + 3y = 4
x = 4 - 3y
Substituting value of x, 4 - 3y , in x + 2 = 3y
4 - 3y + 2 = 3y
6 - 3y = 3y
6 = 3y + 3y
6 = 6y
Divide both sides by coefficient of y, 6
y = 1
Substituting value of y, 1 in x + 2 = 3y
x + 2 = 3(1)
x + 2 = 3
x = 3 - 2
x = 1
The shipping cost for order at an online store is 1/10 the cost of the items you order. What is an expression for the total cost of an order of $79? A. 0.10($79) B. $79 + 0.1($79) C. $(79 + 0.10)
Answer:
B. $79 + 0.1($79)
Step-by-step explanation:
Given that;
the shipping cost for an order = 1/10 multiply by the cost of the items bought;
i.e. [tex]\dfrac{1}{10}\times x[/tex]
where
x = cost of items ordered for.
This implies that:
[tex]\implies[/tex] x + 0.1x
The objective is to determine the expression for the total cost of an order which is $79
x = 79
Then, the total cost of an order is
$79 + 0.1($79)
Three times a number plus sixteen
Three times a number plus sixteen means; 3n + 16
We can solve this equation if any number equals n. Lets say n = 2.
3(2) + 16
6 + 16
22
Best of Luck!
HELP ME WITH THIS (a+5)(b-3)
Answer:
The answer is ab-3a+5b-15
Step-by-step explanation:
apply de disruptive property by multiplying each term a+5by each term b-3
Hope this helps :)
Answer:
here you go ab-3a+5b-15
A manufacturer has a monthly fixed cost of $750 and a production cost of $15 for each item x that is produced. The product sells for $37 per item.
Write the equation of the total cost function, C(x), in terms of x.
Write the equation of the total revenue function, R(x), in terms of x.
Write the equation of the profit function, P(x), in terms of x. Simplify P(x) completely.
Answer:
The cost function is C(x) = 14x + 100000,
the revenue function is R(x) = 20x,
the profit function is P(x) = R(x) − C(x) = 20x − 14x − 100000 = 6x − 100000.
Step-by-step explanation:
Sebastian has a bag of 15 blue marbles, 18 red marbles, and 12 yellow marbles. He reaches into the bag three times and pulls out 2 red marbles and a blue marble. What is the probability that he reaches into the bag and pulls out a yellow marble next? A. 1/4 B. 8/21 C. 2/7 D. 5/14
===================================================
Explanation:
Initially there are 15+18+12 = 45 marbles total. He selects 3 marbles (2 reds, 1 blue).
Assuming he doesn't put the three marbles back, this means there are now 45-3 = 42 marbles overall. The yellow count hasn't changed since the first three marbles do not involve yellow. We have 12 yellow out of 42 which leads to the fraction 12/42 to represent the probability of getting yellow.
Reduce 12/42 to get 2/7. You divide both parts by the GCF 6.
-------
Side note: if he did put the marbles back, then the probability of getting yellow would be 12/45 = 4/15
what is the height of a trapezoid with one base equal to 20m, the other base equal to 7m, and an area of 135m^2
Answer:
The height is 10 mStep-by-step explanation:
Area of a trapezoid is given by
[tex]A = \frac{1}{2} (a + b)h[/tex]where
a and b are the bases
h is the height
From the question
A = 135 m²
a = 20m
b = 7 m
Substitute the values into the above formula and solve for the height
That's
[tex]135 = \frac{1}{2} (20 + 7)h \\ 135 = \frac{1}{2} \times 27h \\ 135 \times 2 = 2 \times \frac{1}{2} \times 27h \\ 270 = 27h[/tex]Divide both sides by 27
That's
[tex] \frac{27h}{27} = \frac{270}{27} [/tex]We have the final answer as
10 mHope this helps you
Mathematics Free Test 1- 0.75 as a fraction.
Answer: [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Convert from decimal to fraction.
0.75 = 3/4. That is your answer.
Answer:
3/4 i believe.
Step-by-step explanation:
What is 64 186 300 in standard form
Answer:
Sixty-four , one eighty six, three hundred
Step-by-step explanation:
That’s it.-,
Answer:
sixty four million, one-hundred eighty-six thousand three hundred
Step-by-step explanation:
Prices of a certain item have a distribution that is skewed to the left with outliers in the left tail. Which of the measures of central tendency is the best to summarize this data set?a. Mode b. Median c. Mean
Answer: b. Median
Step-by-step explanation:
The most common measures of central tendency are :
a. Mode - It is used in nominal data.
b. Median - It is used as central tendency when data is skewed or having outliers in the data.
c. Mean - It is the best measure of central tendency when data does not have outliers because it affect mean badly.
Given, Prices of item have a skewed distribution with outliers in the left tail.
That means , the best measure of central tendency to summarize this data set is median.
So, the correct option is b.
Slide G
You can ride your bike 15 miles in 1 hour. At this rate, how
many miles can you ride your bike in 4 hours?
How many miles can you
ride your bike in 4 hours?
Four new word processing software programs are to be compared by measuring the speed with which various standard tasks can be completed. Before conducting the tests, researchers note that the level of a person’s computer experience is likely to have a large influence on the test results. Discuss how you would design an experiment that fairly compares the word processing programs while simultaneously accounting for possible differences in users’ computer proficiency.
Answer:
The following are the solution to this question:
Step-by-step explanation:
The average frequency of each of the four new word processing applications, that can be determined as well as the computer expertise of the consumer, which can be calculated as low and medium. Its information could then be displayed in a table of 3×3, and we'll use ANOVA 2 ways to demonstrate those two comparisons.
Adib is scheduled to work from 7:00 a.m. to
11:00 a.m. and from 12:00 p.m. to 3:30 p.m.
Monday through Friday at the local
television station. How many total hours
does he work in a week?
what is the nth term of 5,9,13,17....
1. The ages of Sonal and Manoj are in the ratio of 7:5. Ten years hence, the ratio of their ages will be 9:7. Find the present age
Answer:
Ratio of present ages of Sonal and Manoj = 7:5
Let us consider the ages of Sonal and Manoj to be 7x yrs. and 5x yrs. respectively.
After 10 years, ratio of their ages = 9:7
A/q, 7x+10/5x+10 = 9/7
or 9 (5x+10) = 7 (7x+10)
or 45x + 90 = 49x + 70
or 49x - 45x = 90 - 70
or 4x = 20
or x = 20/4 = 5 .
Therefore, present age of Sonal = 7x yrs. = 7 x 5 yrs. = 35 yrs.
present age of Manoj = 5x yrs. = 5 x 5 yrs. = 25 yrs.
Step-by-step explanation:
You helped me before so thank you
HELP PLEASE, BRAINLIEST AND 15 POINTS
Answer:
Step-by-step explanation:
MP, same thing
Answer:
MP
Step-by-step explanation:
PM is the same thing as MP just flipped around. So, they are equal to each other.
Hope This Helps :)
Let ABC be a triangle such that AB=13 BC=14 and CA=15. D is a point on BC such that AD Bisects
Answer:
Area of triangle ADC is 54 square unit
Step-by-step explanation:
Here is the complete question:
Let ABC be a triangle such that AB=13, BC=14, and CA=15. D is a point on BC such that AD bisects angle A. Find the area of triangle ADC .
Step-by-step explanation:
Please see the attachment below for an illustrative diagram
Considering the diagram,
BC = BD + DC = 14
Let BD be [tex]x[/tex] ; hence, DC will be [tex]14-x[/tex]
and AD be [tex]y[/tex]
To, find the area of triangle ADC
Area of triangle ADC = [tex]\frac{1}{2} (DC)(AD)[/tex]
= [tex]\frac{1}{2}(14-x)(y)[/tex]
We will have to determine [tex]x[/tex] and [tex]y[/tex]
First we will find the area of triangle ABC
The area of triangle ABC can be determined using the Heron's formula.
Given a triangle with a,b, and c
[tex]Area =\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where [tex]s = \frac{a+b+c}{2}[/tex]
For the given triangle ABC
Let [tex]a[/tex] = AB, [tex]b[/tex] = BC, and [tex]c[/tex] = CA
Hence, [tex]a = 13, b= 14,[/tex] and [tex]c = 15[/tex]
∴ [tex]s = \frac{13+14+15}{2} \\s= \frac{42}{2}\\s = 21[/tex]
Then,
Area of triangle ABC = [tex]\sqrt{(21)(21-13)(21-14)(21-15)}[/tex]
Area of triangle ABC = [tex]\sqrt{(21)(8)(7)(6)}[/tex] = [tex]\sqrt{7056}[/tex]
Area of triangle ABC = 84 square unit
Now, considering the diagram
Area of triangle ABC = Area of triangle ADB + Area of triangle ADC
Area of triangle ADB = [tex]\frac{1}{2} (BD)(AD)[/tex]
Area of triangle ADB = [tex]\frac{1}{2}(x)(y)[/tex]
Hence,
Area of triangle ABC = [tex]\frac{1}{2}(x)(y)[/tex] + [tex]\frac{1}{2}(14-x)(y)[/tex]
84 = [tex]\frac{1}{2}(x)(y)[/tex] + [tex]\frac{1}{2}(14-x)(y)[/tex]
∴ [tex]84 = \frac{1}{2}(xy) + 7y - \frac{1}{2}(xy)[/tex]
[tex]84 = 7y\\y = \frac{84}{7}[/tex]
∴ [tex]y = 12[/tex]
Hence, [tex]y =[/tex] AD = 12
Now, we can find BD
Considering triangle ADB,
From Pythagorean theorem,
/AB/² = /AD/² + /BD/²
∴13² = 12² + /BD/²
/BD/² = 169 - 144
/BD/ = [tex]\sqrt{25}[/tex]
/BD/ = 5
But, BD + DC = 14
Then, DC = 14 - BD = 14 - 5
BD = 9
Now, we can find the area of triangle ADC
Area of triangle ADC = [tex]\frac{1}{2} (DC)(AD)[/tex]
Area of triangle ADC = [tex]\frac{1}{2} (9)(12)[/tex]
Area of triangle ADC = 9 × 6
Area of triangle ADC = 54 square unit
Hence, Area of triangle ADC is 54 square unit.
Taxi fare in Tampa costs a base fee of $4 plus an additional $0.85 for each mile traveled. How much would a person pay to take a taxi from work to home if the distance is 17 miles? Question 14 options: A) $18.45 B) $21 C) $14.45 D) $20.40
Answer:
A. $18.45
Step-by-step explanation:
17 miles * .85 = 14.45 + 4.00 = 18.45
help pls!! 15 points!
Answer:
Third option choice
Step-by-step explanation:
Notice that the angle is in the second quadrant, where the cosine is negative, the sine is positive and the tangent negative. In particular given the value of the cosine you are located at the angle 150 degrees, which gives a sine of 1/2 and a tangent given by [tex]-\sqrt{3} /3[/tex]
Therefore the third option is the correct one.