Answer:
OKW similar to triangle OJP using Angle Angle
Step-by-step explanation:
Given
See attachment for triangles
Required
Prove their similarity
From the attachmen:
[tex]\angle JPO = \angle OWK = 90[/tex]
Also:
[tex]\angle O = \angle O[/tex] for both triangles i.e. reflexive property
Hence:
OKW similar to triangle OJP by AA i.e. Angle Angle
(2.6 x 106) + (4.2 x 106)
a
6.8 x 106
b
6.8 x 1012
c
8.4 x 106
d
3.2 x 1012
Answer:
720.8
Step-by-step explanation:
(2.6 × 106) + (4.2 × 106)
275.6 + 445.2
720.8
√5 is between _________ and __________.
-√30 is between _________ and _________.
-√15 is between __________ and _________.
√18 is between __________ and __________.
√72 is between __________ and __________.
-√125 is between _________ and __________.
Answer:
2 and 3, -5 and -6, -3 and -4
Step-by-step explanation:
list all of your perfect squares
[tex]\sqrt{1}, \sqrt{4} ,\sqrt{9} , \sqrt{16} , ...\\[/tex]
So [tex]\sqrt{5}[/tex] is between [tex]\sqrt{4} and \sqrt{9}[/tex] so it is between 2 and 3
If that is a negative [tex]\sqrt{30}[/tex] then it is between square root of 25 and 36, which would be -5 and -6
-[tex]\sqrt{15}[/tex] is between [tex]\sqrt{9} and \sqrt{16}[/tex] so -3 and -4
Giving more a lot of points!
What is 3 /1 ÷3
Answer:
3
Step-by-step explanation:
It is trigonometry. Please find the dimensions of the box. Thanks.
Answer:
Step-by-step explanation:
55 x 32 / 32 PLEASE HELPP
Answer:
55
Step-by-step explanation:
Answer : 55
Step by step explanation use PEMDAS
55/1 = 55
Janet paid 5% interest on a $628 loan for 4 months. How much interest did she pay on her loan
Answer:
Total interest paid:$6.56
Step-by-step explanation:
I used multiple loan calculators.
I need help please please I appreciate it! ):
Answer:
!. Scale factor = 5
2. Scale factor = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
scale = [tex]\frac{length in drawing}{actual length}[/tex]
1. To increase the numbers, let the scale factor be [tex]\frac{5}{1}[/tex] = 5. So that;
0.05 x 5 = 0.25
[tex]\frac{1}{2}[/tex] x 5 = 0.5 x 5 = 2.50
7 x 5 = 35.00
13 x 5 = 65.00
25 x 5 = 125.00
102 x 5 = 510.00
2. To decrease the numbers, let the scale factor be [tex]\frac{1}{5}[/tex]. So that;
0.05 x [tex]\frac{1}{5}[/tex] = 0.01
[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{5}[/tex] = 0.5 x [tex]\frac{1}{5}[/tex] = 0.10
7 x [tex]\frac{1}{5}[/tex] = 1.40
13 x [tex]\frac{1}{5}[/tex] = 2.60
25 x [tex]\frac{1}{5}[/tex] = 5.00
102 x [tex]\frac{1}{5}[/tex] = 20.40
can somebody please solve for x and y, if you get the answers correct I'll give you extra points
Answer:
1) x = 18 2) x = 7
Step-by-step explanation:
Edit: Decided to solve the second too! :)
1)
12/16 = x/(x+6)
12x + 72 = 16x
72 = 4x
x = 18
2)
(-4 + 4x)/64 = 27/72
-288 + 288x = 1,728
288x = 2,016
x = 7
Meadow purchased a pair of jeans for $49.99 and a shirt for $19.99. How much money did Meadow spend?
Answer:
69.89-exact
70-rounding up
Answer:
She spent $69.98
Step-by-step explanation:
49.99 + 19.99 = 69.98 because people place .99 at the end of the cost in order to try to confuse customers that they are getting a better price then they really are, this is true because since many people read left to right, they will see the smaller number first, and they see the bigger number last, makin them believe its a better price. when at the end of a number lies a .99 it only counts as .99 not 1.00, thus this information is what helped me find my answer.
4kg of cheese costs £10.80 how much would 3kg cost
Answer:
£8.10
Step-by-step explanation:
Divide £10.80 by 4 to find the cost of 1 Kg, then multiply this by 3
£10.80 ÷ 4 = £2.70 ← cost of 1 Kg , then
cost of 3 Kg = 3 × £2.70 = £8.10
Answer:
it may helps......
Step-by-step explanation:
we can solve it by unitary method....So,
Cheese (in Kg). Cost (in Rs)
4kg 10.80
3kg X
Now, 4×x = 3×10.80
X=3×10.80/4 (by transposing)
X=2.7×3
X= 8.1 Answer
Mark it as brainlist
What is the area of this figure?
Answer:
c
Step-by-step explanation:
rectangle: 6×7=42
triangle: (4×6)÷2= 12
the whole area: 42+12=54
Latoya buys a board that is 8 feet long. She cuts 3 1/2 feet off to make a shelf , and 2 feet off to make a sign. She divides the rest equally to make 2 trays. What is the length of one tray, in inches?
Answer:
1 1/4 feet
Step-by-step explanation:
3 1/2 feet + 2 feet = 5 1/2 - 8 = 2 1/2 ÷ 2 = 1 1/4
Write a function that represents the total cost of your family's outing to the soccer game after x hours.
Answer:
Please attach an image.
f(x) = (cost)x
Answer:
c=s*x
Step-by-step explanation:
C will be the total cost of our family's outing to the soccer game
While x will be the hours
and S will be the soccer game
So s*x will equal the cost
Making c=.
Hope this helps!
:D
In a right-angled triangle ,right angled at B,if AB=5cm andAC=13cm ,then BC=
Answer:
BC = 12cmStep-by-step explanation:
by phythagoras theorm
AB² + BC² = AC²
5² + BC² = 13²
25 + BC² = 169
BC² = 169 - 25
BC² = 144
BC = √144
BC = 12cm
Will give brainliest if you can help me better understand this! Determine whether sine, cosine, or tangent is the best choice for finding x.
Answer: Cos, Cosine
Step-by-step explanation:
You can use SOH CAH TOA to help you find out whether you are using Sine, Cosine or Tangent.
SOH- The 'S' is for Sine, then the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH- The 'C' is for Cosine, the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA- The 'T' is for Tangent, then the 'O' and the 'A' is for Opposite over Adjacent.
As you have the Adjacent (the side next to the angle you are looking for) and Hypotenuse (the side opposite the right angle), you would be using Cosine.
I haven't answered it because I read this as though you wanted the explanation. If you do want an answer just let me know then I can edit my answer.
Hope this helps :)
The park service that administers a state park estimates that there are 495 deer in the park. They decide to remove deer according to the differential equation dP/dt = −0.1P.
a. Show that the solution to the differential equation dP/dt = −0.1P is P = 495e^−0.1t , where t is measured in years and P is the population of deer. Use it to find the deer population in 5 years to the nearest deer.
b. After this 5-year period, no human intervention is taken and the deer population grows again. From that time, the deer population increases directly proportional to 650−P, where the constant of proportionality is k. Find an equation for the deer population P(t) in terms of t and k for this 5-year period.
c. Using the growth model from part b), 1 year later the deer population is 350. Find k.
d. Using the growth model from part b) and the value of k from part c), find lim t→∞ P(t)
The deer population in 5 years is approximately 294 deer.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
a. To solve the differential equation dP/dt = −0.1P, we can separate the variables and integrate:
dP/P = −0.1 dt
Integrating both sides gives:
ln|P| = −0.1t + C
where C is the constant of integration. To solve for C, we can use the initial condition that P = 495 when t = 0:
ln|495| = −0.1(0) + C
C = ln|495|
Substituting this value of C back into the equation gives:
ln|P| = −0.1t + ln|495|
Simplifying using logarithm properties, we get:
ln|P/495| = −0.1t
Exponentiating both sides gives:
|P/495| = e^−0.1t
Taking the absolute value off and multiplying both sides by 495, we get:
P = 495e^−0.1t
To find the deer population in 5 years, we can substitute t = 5 into the equation:
[tex]P = 495e^{-0.1(5)} = 294[/tex] deer (rounded to the nearest deer).
Therefore, the deer population in 5 years is approximately 294 deer.
b. To find an equation for the deer population P(t) in terms of t and k for the period after 5 years, we can use the differential equation:
dP/dt = k(650−P)
Separating the variables and integrating, we get:
∫dP/(650−P) = ∫k dt
Using partial fraction decomposition and integrating, we get:
ln|650−P| = −kt + C
where C is the constant of integration. To solve for C, we can use the initial condition that P = 294 when t = 5:
ln|650−294| = −k(5) + C
C = ln|356| + 5k
Substituting this value of C back into the equation gives:
ln|650−P| = −kt + ln|356| + 5k
Simplifying using logarithm properties, we get:
ln|(650−P)/356| = −kt
Exponentiating both sides gives:
[tex]|(650-P)/356| = e^{-kt[/tex]
Taking the absolute value off and multiplying both sides by 356, we get:
[tex]650-P = 356e^{-kt[/tex]
Solving for P gives:
[tex]P = 650-356e^{-kt[/tex]
Therefore, the equation for the deer population P(t) in terms of t and k for the period after 5 years is P = 650−356e^−kt.
c. Using the growth model from part b), if the deer population is 350 one year later, we can substitute t = 1 and P = 350 into the equation and solve for k:
350 = 650−356e^−k
Solving for [tex]e^{-k[/tex] gives:
[tex]e^{-k = (650-350)/356 = 3/2[/tex]
Taking the natural logarithm of both sides gives:
−k = ln(3/2)
Solving for k gives:
k = −ln(3/2) ≈ 0.4055
Therefore, k ≈ 0.4055.
d. Using the growth model from part b) and the value of k from part c), the long-term behavior of the deer population as t → ∞ is determined by the limit:
lim P(t) as t → ∞
We can use the fact that [tex]e^{-kt[/tex]approaches 0 as t →
Learn more about exponential growth and decay here:
https://brainly.com/question/17161065
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3√x^2
I need to write this as a fractional exponent.
[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]
[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]
I do not know which one you mean but still one of them is still your answer. :)
In the equation y=2x+3,y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
Answer:
C. Your team plays 3 preseason games.
Step-by-step explanation:
In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
A. The regular season lasts 2 weeks.
B. The preseason lasts 2 weeks.
C. Your team plays 3 preseason games.
D. Your team plays 3 regular season games each week.
Solution:
The equation for a linear function is given as:
y = mx + b;
where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.
Given that y = 2x + 3;
The slope (m) = 2 and the y intercept (b) = 3
This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.
Find the value of x in the isosceles triangle shown below.
Answer:
12
Step-by-step explanation:
x is the height, and we notice that this isosceles triangle is two 5-12-13 triangles put together. Therefore, x = 12
Another method. Use pythagorean theorem. x^2 + (10/2)^2 = 13^2
x^2 + 25 = 169
x^2 = 144
x = 12
Can someone solve for x and y
Answer
Calculator.net
i hope you use this it will help a lot
PLISS ANSWER :C DONT ANSWER IF YDK THAnKSSS
*also pls look at both images :)*
Answer:
First image: (6, -1)
2nd image: y = 63
Explanation:
1)
2x + y = 11
1/2x - 5y = 8
y = -2x + 11
1/2x - 5(-2x + 11) = 8
1/2x + 10x - 55 = 8
10.5x - 55 = 8
10.5x = 63
x = 6
2x + y = 11
2(6) + y = 11
12 + y = 11
y = -1
(x , y) = (6, -1)
2)
1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5
2y - 1.2 = 1.8y + 10.8 + 0.6
0.2y - 1.2 = 11.4
0.2y = 12.6
y = 63
i need help learning how to find the nth term in sequences like 8,6,4,2?
i haven’t a clue how to solve things like this and i have a test tomorrow
Answer:
-8
Step-by-step explanation:
Its actually simple once you get the basics
Find out the difference between the first two digits given e.g 8,6: the difference is 2 so you check if it's the same difference e.g 6,4: the difference is also 2 so you keep subtracting or adding 2 as the case may be.
HELP ASAP WILL MARK BRAINLIST
Find the surface area
Answer:
24
Step-by-step explanation:
First we need to find the area on one square which is 2*2 which is 4. So now we have 5 more cubes like this and we have to add all their areas to find the surface area so we make a multiplicaction sentence :
4*6=24
Mr. Monrean had three sheets of stickers. He gave 20 stickers from each sheet to his students and has 12 total stickers left. Write and solve an equation to find the total number of stickers s there were originally on each sheet.
Answer:
the total number of stickers is 24
Step-by-step explanation:
The computation of the total number of stickers is shown below
Let us assume the total no of stickers be x
Now as per the question, the equation is
3(x - 20) = 12
3x - 60 = 12
3x = 12 + 60
3x = 72
x = 24
Hence, the total number of stickers is 24
Which of the following is another way of expressing 4 out of 5
Answer:
4/5
Step-by-step explanation:
I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.
pls help me!
(7th grade math)
help is very much appreciated :)
Answer:
If we are working with numbers 26m, 24m, 20m, 26m, 39m
Than the surface area of the shape would be 0.24
Work:
3.46 × 106 = 366.76
366.76 + 20 =386.76
386.76 in square meters is 0.24
jill uses some of her honey to make lotion. if each bottle of lotion requires 1/4 gallon and she uses a total 3 gallons how many bottles of lotion does she make
Answer:
am gonna need more imformation
Step-by-step explanation:
I have a test tmrw pls help
So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:
y-6=2.5(x-3)
y-6=2.5x-7.5
-2.5x+y=1.5
A store pays $433.78 for a robot. The store marks up the price by 50%. What is the new price?
PLEASE HELP PLEASE ASAP
Answer:
60ft
Step-by-step explanation:
multiply all the #