Answers
Answer:
1.) 1169
2.) 7
3.) 167 students/year
4.) 1879
5.) 1879+167t
6.) 4050
Step-by-step explanation:
1.) Find the difference between the number of students in 2002 and 2009:
[tex]3382-2213=1169[/tex]
2.) Find the difference in the years:
[tex]2009-2002=7[/tex]
3.) To find the average growth, find the change between 2002 and 2009 and divide by 7.
[tex](3382-2213)/7=y\\1169/7=y\\167=y[/tex]
4.) To find the population of the students in the year 2000, we need to subtract the average growth time and the difference of years from 2213.
[tex]2213-167(2002-2000) = y\\2213-334=1879[/tex]
5.) Taking the equation above, and changing it to match the requirements, we get:
[tex]P = 1879+167t[/tex]
6.) Now find the difference between 2013 and 2000, and substitute for t to get:
[tex]P = 1879+167(2013-2000)\\P = 1879+167*13\\P = 4050[/tex]
Related Questions
What is the slope of a line parallel to the line whose equation is 2x + 12y = -192
Fully simplify your answer.
Answers
Answer: -[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
To solve this question, I am going to first put the equation into slope-intercept form.
2x + 12y = -192
12y = -2x - 192
y = -[tex]\frac{2}{12}[/tex] - 16
y = -[tex]\frac{1}{6}[/tex] - 16
Now that the first equation has an easily identifiable slope, we can answer the question. Parallel lines will have the same slope, so that means the answer will be:
-[tex]\frac{1}{6}[/tex]
Answer: 1/-6
Step-by-step explanation:
i had this equation
PLEASE ANSWER ASAP WILL GIVE brainiest TO THE FIRST CORRECT ANSWER
You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.
Answers
The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.
Therefore, the hypotenuse side is the bridge length.
c² = a² + b²
where
c = hypotenusea and b are the other legsHence,
c² = 1170² + 520²
c² = 1368900 + 270400
c = √1639300
c = 1280.35151423
The bridge is the prefered option when the cost is within $1500. Therefore,
cost of the bridge = 11 × 1280.35151423 = $14083.87
Therefore, the bridge is not the prefered option
learn more on right triangle here: https://brainly.com/question/27309330
To measure the height of the Washington Monument, a student 5.5 ft tall measures his shadow to be 4.25 ft. At the same time of day, he measured the shadow of the Washington Monument to be 430 ft
long. Use a calculator to estimate the height of the monument to the nearest foot.
The Washington Monument is approximately ________ft tall?
Answers
Answer:
OK, Well to solve this first,
Set up a ratio:
height of the student/student shadow length = height of the monument/monument shadow length
height of the monument = x
6ft./4.75ft = x/435ft.
cross multtiply
6 * 435 = 4.75x
2610 = 4.75x
divide by 4.75 to both sides
2610/4.75 = 4.75x/4.75
549.47 = x
There you go Slide Brainliest Please
Step-by-step explanation:
Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius.
Answers
Answer:
Before cooling begins, the temperature of the water is 22°C.
Step-by-step explanation:
need steps??
have a good day
rate my answer
Find the value of sin20 × sin30 × sin40 × sin80.
Please I need answers...
Answers
Answer:
3/16
Step-by-step explanation:
Prove that sin 20 ×sin40 × sin60 × sin80 = 3/16.
We have to prove sin 20 × sin40 × sin60 × sin80 = 3/16.
Consider LHS
sin 20 × sin 40 × sin60 × sin80
Sin Values
In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
We know the trigonometric values of sin function
Proof
Consider LHS
sin 20 × sin 40 × sin60 × sin80
= sin60 [sin20 × sin40 × sin80]
= √3/2[sin20 × sin(60 – 20) × sin(60 + 20)]
= √3/2[sin 3(20)/4]
= √3/2[sin 60/4]
= √3/2[√3/2 × 4]
= √3/2 × √3/8 = 3/16
∴ LHS = RHS
Hence proved
find the area of the polygon
Answers
Answer:
D. 984
Step-by-step explanation:
The are of the trapozoid is 1/2(B1+B2)+h
Find the area of the figure.
Answers
Now area of a triangle is b•h/2 so (2•3)/2=3 then double that because there are two triangles, now 6, and add it to the area of the rectangle. 12+6=18
help ASAp peaseeeeeeeeee
Answers
Answer:
7/6
Step-by-step explanation:
[tex] \frac{ \frac{x}{4} + \frac{x}{3} }{ \frac{x}{2} } = \frac{x( \frac{1}{4} + \frac{1}{3} )}{ x(\frac{1}{2}) } \\ = \frac{ \frac{1}{4} + \frac{1}{3} }{ \frac{1}{2} } \\ = \frac{14}{12} = \frac{7}{6} [/tex]
Answer:
7/6
Step-by-step explanation:
X = 2 because 2x3=6 and the three is from x/3 then 4+3=7 and then 7 would be the denominator and 6 would be the numerator. You should get 7/6
The average weight of an adult black bear is 4.35 x102 pounds.
This is 15 times as much as Shaneen's dog weighs.
What is the weight of Shaneen's dog?
Answers
Answer: B (2.9 x 10)
Step-by-step explanation: (4.35 x 10^2)/15 = 29 = 2.9 x 10
Which angles are congruent to each other?
Answers
Answer:
5 and 7
Step-by-step explanation:
5 and 7 are vertical angles. The others are supplementary
the coordinates start at A: (2,1) B:(6,1) C(4,7) and change to A:(1,-2) B:(1,-6) C:(7,-4) what is the algebraic expression
Answers
• Los médicos pueden recetar los mismos medicamentos a los niños y a los adultos.
La fórmula utilizada, conocida como regla de Fried, es la siguiente: d= 0.08 AD,
donde des la dosis del niño, a es la edad del niño y D es la dosis del adulto. Si el
médico le receta 1,000 mg de acetaminofén a un adulto, ¿cuántos mg le debe de
recetar a un niño de 8 años?
Answers
Evaluando la función dada, veremos que la dosis para el niño debe ser 640 mg.
¿Cual será la dosis que se debe recetar al niño?
La funcion que debemos utilizar es:
d = 0.08*A*D
Donde, A es la edad del niño, en este caso: A = 8
D es la dosis correspondiente para un adulto, D = 1,000 mg
Reemplazando eso obtenemos:
d = 0.08*8*1,000mg = 640mg
Así, podemos concluir que al niño se le debe recetar una dosis de 640 mg.
Sí quieres aprender más sobre evaluaciones, puedes leer:
https://brainly.com/question/4344214
-12d^2 + -40d^2
----
neg or positive outcome?
Answers
Answer: Its negetive. The answer is -52d^2
Hope this helped you!
Answer:
negativeStep-by-step explanation:
[tex]-12\ d^{2}+-40\ d^{2} = -12\ d^{2}-\ 40\ d^{2} = -52\ d^{2}[/tex]
Since −52 is negative and d² is always positive for any number d
Then ,their product −52 d² is negative .
What’s 8.4 cm converted to in.
Answers
Answer:
3.30709
Step-by-step explanation:
FORMULA :
divide the length value by 2.54
8.4 ÷ 2.54
= 3.30709
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the value of X in simplest radical form?
X=_____
Answers
Answer:
X=97
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
[tex]\sqrt{a^2+b^2}=c[/tex]
Now,
A=65
B=72
72x72=5184
65x65=4225
4225+5184=9409
Last,
Take the square root of 9409.
The square root is 97.
Therefore, the hypotenuse is 97.
To check, use the equation:
[tex]a^2+b^2=c^2[/tex]
A=65
B=72
C=97
72x72=5184
65x65=4225
97x97=9409
5184+4225=9409
9409=9409
Therefore, the missing side, which is the hypotenuse, is 97.
Answer:
97
Step-by-step explanation:
Given:
Opposite = 65Adjacent = 72Hypotenuse = xDefinition:
Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.To find:
Value of xPythagorean Theorem:
[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]
Determine:
a = oppositeb = adjacentc = hypotenuseNote:
a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.Therefore, substitute given information in:
[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]
Evaluate:
[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]
Square Root both sides:
[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]
Cancel the squared x, add plus-minus:
[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]
Simplify the surd:
[tex]\displaystyle \large{\pm 97 = x}[/tex]
However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:
[tex]\displaystyle \large{x=97}[/tex]
Hence, the value of x is 97
Allison is making fruit drinks for her friends.
Each fruit drink is made with 3/5 cup of
strawberries and 1/5 cup of blueberries. If
Allison is making fruit drinks for 6 friends,
how many cups of fruit will she need??
Answers
The number of cups of fruit Allison will need is = 4 ⅘ cups of fruits
Calculation of total quantity of fruitsThe quantity of strawberries needed for each fruit drink= 3/5 cup
The quantity of blueberries needed for each fruit drink = 1/5 cup
Therefore the total quantity of fruits needed for each drink = 3/5 + 1/5
= 4/5
If 4/5 = 1 fruit drink
X = 6 fruit drinks
Make X the subject of formula,
X = 4/5 × 6
X = 24/5
X= 4 ⅘
Therefore, the number of cups of fruit Allison will need is = 4 ⅘ cups of fruits
Learn more about calculation of total quantity here:
https://brainly.com/question/13864606
Where can parentheses be placed to make 6+2³-4×3 value 500
Answers
~Denki Kaminari here~
6 + 2³ - 4 × 3 = 500
The parentheses will most likely go before the exponent because that will raise your number up higher.
(6 + 2)³ - 4 × 3 = 500
(8)³ - 4 × 3 = 500
512 - 12 = 500
500 = 500
So the parentheses will go around the (6 + 2).
hope this helps :D
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A. 4/9
B. 1/5
C. 1/2
D. 5/9
Answers
Answer:
1/5 is the answer in my calculations
Which inequality is shown in the graph?
Answers
Answer:
The answer is "A" i think not 100% sure
tell me if wrong
HELP PLEASE PYTHAGOREAN THEOREM
Answers
A^2 + B^2 = C^2
7^2 + 12^2 =C^2
49 + 144 = 193
193=13.8 (Square root 193)
C^2 is 13.8 or 14
How much will $2000 deposited in an account earning 5% interest compounded
annually be worth in 20 years?
Answers
Answer:
Interest = 2000
Total = 4000
Step-by-step explanation:
The formula to find interest:
Interest = Original Amount x Rate x Time.
Substitute the numbers into the formula.
I = 2000 x 0.05 x 20
You must change the percentage to a decimal.
Solve for I
I = 2000 x 0.05 x 20 = 100 x 20 = 2000
The interest is $2,000. To find the amount in total after 20 years, add the interest with the original amount.
2000 + 2000 = 4000
I hope this helps and please mark me as brainliest!
I need help!! I will give 5.0 star
Answers
So, here we need to differentiate tan³[tex](\theta)[/tex], wr.t.[tex]\theta[/tex], but let's recall some identities which will be very useful in this question :
[tex]{\boxed{\bf{\dfrac{d}{dx}\{\tan (x)\}=\sec^{2}(x)}}}[/tex][tex]{\boxed{\bf{\dfrac{d}{dx}(x^n)=nx^{n-1}}}}[/tex][tex]{\boxed{\bf{\sec^{2}(\theta)=\tan^{2}(\theta)+1}}}[/tex]Coming back on the question, consider :
[tex]{:\implies \quad \sf \dfrac{d}{d\theta}\{\tan^{3}(\theta)\}}[/tex]
[tex]{:\implies \quad \sf 3\tan^{3-1}(\theta)\dfrac{d}{d\theta}\{\tan (\theta)\}}[/tex]
[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\sec^{2}(\theta)}[/tex]
Using the identity ;
[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\{1+\tan^{2}(\theta)\}}[/tex]
[tex]{:\implies \quad \sf 3\tan^{2}(\theta)+3tan^{4}(\theta)}[/tex]
[tex]{:\implies \quad \sf 3\tan^{4}(\theta)+3\{\sec^{2}(\theta)-1\}}[/tex]
[tex]{:\implies \quad \boxed{\bf 3\tan^{4}(\theta)+3\sec^{2}(\theta)-3}}[/tex]
Hence, Proved
Julie goes to a carnival with $24 to spend. Admission cost six dollars, and each ride is an additional cost. After paying for admission, she has enough money left to go on exactly 9 rides. She decide she wants to play to carnival games, the Games cost three dollars each. Julie also buy snacks that cost $3.50. How much more money, in dollars, does Julie need to go on five rides?
Answers
Answer:
$1.50
Step-by-step explanation:
24 - 6 = 18
18/9 = cost of 1 ride
cost of 1 ride = $2
2 carnival games = 3 x 2 = $6
18 - 6 = 12
12 - 3.5 = $8.50
five rides cost = 5 x $2 = $10
10 - 8.5 = $1.50
What is the rule for the sequence 600,300,150,75
Answers
Answer:
y=x/2
Step-by-step explanation:
hope u have a good day! pls give brainliest
Roy and Stefan went to a computer fair with the same amount of money. After Roy spend $850 on a notebook and Stefan spend $300 on a printer, Stefen had three times as much money left as Roy.How much money did each of them have at first?
Answers
Answer:
$1125
Step-by-step explanation:
Check the attachment.
Consider the rhombus ABCD with the side length AB of 14 cm and the measure of the angle B of 120 °. Through the vertex A goes a certain secant that intersects the extensions of the sides BC and CD in E, respectively F.
Calculate:
[tex] \frac{1}{ce} + \frac{1}{cf} [/tex]
Answers
Answer:
1/14
Step-by-step explanation:
In the given geometry, we have similar triangles:
ΔCEF ~ ΔBEA ~ ΔDAF
This lets us write the relations for corresponding sides ...
CF/CE = DF/DA
where DF = CF -CD
We can rearrange this relation to give the value we're looking for as follows.
__
Making the substutition for DF, and multiplying by CE, we have ...
CF = CE(CF -CD)/DA
Both DA and CD are sides of the rhombus, so are both 14 cm in length. Multiplying by DA and making the number substitution, we have ...
DA·CF = CE·CF -CE·CD
14·CF = CE·CF -14·CE . . . . substitute 14 for DA and CD
14(CF +CE) = CE·CF . . . . . add 14·CE
(CF +CE)/(CE·CF) = 1/14 . . . . divide by 14·CE·CF
1/CE +1/CF = 1/14 . . . . . . . . . simplify
PLS ANSWER IT PLS PLS
Answers
Answer:
The one above the orange answer in the picture
Step-by-step explanation:
85% of 20 is 17 every thing else is not 85%
The correct answer would be the one on top left
Please help I'll mark brainliest
Answers
Answer:
I think it should be 80-89.
Because the mode can't be between 70 and 70 that wouldn't make sense. Basically 70 and 70 will equal 0 in between so it wouldn't be the best choice.
Which of the following sets of numbers could be the side lengths of a right triangle?
3, 4, and 7
9, 40, and 42
8, 15, and 16
20, 21, and 29
Answers
Answer:
9, 40, and 42
Step-by-step explanation:
Answer:
9, 40,and 42 is the answer
Step-by-step explanation:
a circular logo has a 72 degree sector shaded orange and a 129 degree sector shaded blue. The radius of the logo is 10 inches. What is the total area shaded orange and blue?
Answers
I don't know the answer so help