Answer: There are 400 tadpoles in the year 1994.
This is because any point is of the form (x,y) where in this case
x = year number
y = tadpole population number
So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.
In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.
From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.
Find the values of x and y. Round your answers to the nearest tenth if necessary,
Answer:
[tex]x=12,\\y=12\sqrt{3}[/tex]
Step-by-step explanation:
In any 30-60-90 triangle, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.
In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since [tex]x[/tex] is opposite to the 30 degree angle,
Therefore, we have:
[tex]x=\frac{24}{2},\\x=\boxed{12}[/tex]
Based on our side length ratio [tex]x:x\sqrt{3}:2x[/tex], [tex]y[/tex] is then:
[tex]y=x\sqrt{3}\text{ for}\implies x=12,\\y=\boxed{12\sqrt{3}}[/tex]
Answer:
[tex]\huge\boxed{x=12;\ y=12\sqrt3\approx20.8}[/tex]
Step-by-step explanation:
Look at the picture.
We have:
[tex]2a=24\\a=x\\a\sqrt3=y[/tex]
Therefore:
[tex]x=24:2=12\\\\y=12\sqrt3\approx12\cdot1.73=20.76\approx20.8[/tex]
Use a calculator to find the cross products. Compare the cross products and determine if the ratios form a proportion. Write “Y” if the ratios do form a proportion, and write “N” if the ratios do not form a proportion.
1. 3/12 and 10/30
2. 7/16 and 42/66
3. 13/70 and 39/200
4. 16/34 and 80/170
5. 11/12 and 66/72
6. 14/17 and 112/134
7. 2/3 and 120/190
8. 23/99 and 115/495
Helppppp and explain pls and thankyouu
Answer:
-13 is the answer I think so but wait for others also because my could be wrong
pls pls help
How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?
Two
Zero
One
Infinitely many
Answer:
One
Step-by-step explanation:
This equation is not a quadratic and can be solved to get an integer solution
Answer:
Step-by-step explanation:
It can have at most 1 sensible answer. It may have zero and infinitely many
3x + 6 = - 1 - 3 + 4x Combine the right
3x + 6 = - 4 + 4x Add 4 to both sides
3x + 6 + 4 = 4x Subtract 3x from both sides
3x + 10 -3x = 4x - 3x Combine
10 = x
The only answer (1) that is possible is 10.
What is 7/9 divided by 1/3
Answer:
[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]
The price of a colour TV is $ 13440, inclusive of sales tax. If the printed price of the colour TV be $ 12000 then find the rate of sales tax.
Answer:
12%
Step-by-step explanation:
first subtract 12000 from 13440 which is 1440 which is the amount of sales tax. to find the rate you need to find at what percentage was multiplied by. I got 0.12 which means 12 percent sales tax.
Assume the equation has a solution for z.
-cz+ 6z = tz + 83
z=?
Answer:
z = 83 / (- c + 6 - t)
Step-by-step explanation:
Given:
-cz+ 6z = tz + 83
z=?
-cz+ 6z = tz + 83
Collect like terms
-cz+ 6z - tz = 83
Factorize
z(- c + 6 - t) = 83
Divide both sides by (- c + 6 - t)
z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)
z = 83 / (- c + 6 - t)
Answer:
Step-by-step explanation:
Try Again
Alvin is 7 years older than Elga. The sum of their ages is 79. What is Elga's age?
39 уга
years old
?
Answer:
36 years
Step-by-step explanation:
Let
x = Elga's age
Alvin's age = x + 7
Sum of their ages = 79
Sum of their ages = Alvin's age + Elga's age
79 = (x + 7) + x
79 = x + 7 + x
79 = 2x + 7
79 - 7 = 2x
72 = 2x
x = 72/2
x = 36
Elga's age = x = 36 years
Alvin's age = x + 7
= 36 + 7
= 43 years
Help and explain pls and thankyouuu
Answer:
f(-3.2) = -7.2
Step-by-step explanation:
Here, we want to calculate f(-3.2)
What we have to do here is to substitute-3.2 for x in the equation for f(x)
Mathematically, we have this as;
f(-3.2) = -3.2-4 = -7.2
S.p=315 loss percent =10% c.p=rs=xc.p=?
Given:
S.P. = 315
Loss percent = 10%
To find:
The C.P.
Solution:
Let x be the C.P.
We have,
S.P. = 315
Loss percent = 10%
[tex]S.P.=C.P.-10\%\text{ of }C.P[/tex]
[tex]315=x-\dfrac{10}{100}x[/tex]
[tex]315=x-0.1x[/tex]
[tex]315=0.9x[/tex]
Divide both sides by 0.9.
[tex]\dfrac{315}{0.9}=x[/tex]
[tex]350=x[/tex]
Therefore, the cost price (C.P.) is 350.
number of ways you can wear 10 outfits to school each day in a 5 day week
Answer:
1 day=10outfits
5days=10outfits×5
=50outfits
Step-by-step explanation:
hope this is helpful
Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.
How to calculate the number of waysTo calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:
10 outfits/day × 5 days = 50 outfit combinations
Therefore, you can wear the 10 outfits in 50 different ways throughout the week.
Learn more about permutations
https://brainly.com/question/4658834
#SPJ2
Guys please help me if you don’t mind
Step-by-step explanation:
Step 1: The factors of -60 that add up to -11 are -15 and 4.
Step 2:
[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]
Step 3:
[tex]3x(2x - 5) + 2(2x - 5)[/tex]
[tex](3x + 2)(2x - 5) [/tex]
Please help! Awarding Brainly :)
Answer:
Step-by-step explanation:
Which one of the following groups would be unbiased when asked, “What is your favorite kind of pizza?”
Group of answer choices
health & fitness fanatics leaving the gym
guests leaving a gourmet pizza restaurant
kids at the playground
families attending a sporting event
Answer:
kids at playground
children are too young to know calorie count and the health benefits of certain foods. So they would simply choose the one they think tastes best
What is a set ? Give an example of a set .
Answer: 24
Step-by-step explanation:
What are the maximum and minimum of the function f(x) = 0.9 I -(x - 5) I + 7 ? A. Maximum at (5,7) and minimum at (0,0) B. Minimum at (5,7) and no maximum C. Minimum at (0,0) and no maximum D. Maximum at (5,7) and no minimum
Answer:
[tex]Minimum = (5,7)[/tex]
No maximum
Step-by-step explanation:
Given
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Solving (a): The minimum
The minimum is when the absolute parameter gives 0
i.e.
[tex]0.9|-(x - 5)| =0[/tex]
Divide both sides by 0.9
[tex]|-(x - 5)| =0[/tex]
Open bracket
[tex]|-x + 5| =0[/tex]
Remove absolute sign
[tex]-x + 5 =0[/tex]
Collect like terms
[tex]x = 5[/tex]
Then the y value is:
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Recall that: [tex]0.9|-(x - 5)| =0[/tex]
So, we have:
[tex]f(x) = 0 + 7[/tex]
[tex]f(x) = 7[/tex]
Hence, the minimum is at: [tex](5,7)[/tex]
Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.
Hence. the function has no maximum; i.e.
[tex]Maximum = (\infty,\infty)[/tex]
PLZ I NEED ANSWER I GIVE BRAINLIEST TO FIRST ANSWER RIGHT
Answer:
B. Point B
Step-by-step explanation:
Tommy went to the shop where there was a 20% off sale taking place
The shirt he wanted to buy was originally £20
How much money does he save in the sale?
Answer:
4 pounds
Step-by-step explanation:
take 20% off the original price. 20(0.20)= 4
So that's a discount of 4 pounds and the sale price is 16 pounds.
The savings is 4 pounds on 1 shirt.
Factorize
a⁴-3a²b²+b⁴
(a⁴-3a²b²+b⁴)/(a²-ab-b²)
Let me know if there is something wrong to my answer ^_^
Answer:
hope it will helpfulll to youuu
- During the summer, you work 5 hours a day as a lifeguard at a beach and
earn $8 each hour. Use properties of multiplication to find how much
money you earn during a 6-day work week.
Answer:
240 If its wrong pleas correct me
I need help plz help
answer is C. 252 ft^2
split the figure into two pieces and first figure out the rectangle (shown in turquoise).
If you multiply the width and length (18*6) you should get 108.
Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.
Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence
Answer:
A sample size of 2401 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What sample size would be needed to construct a margin of error of 2% with 95% confidence?
This is M for which n = 0.02.
Supposing we have no estimate for the true proportion, we use [tex]\pi = 0.5[/tex].
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]
[tex]n = 2401[/tex]
A sample size of 2401 is needed.
There are six different candidates for governor of a state. In how many different orders can the names of the can- didates be printed on a ballot
Answer: 720
Step-by-step explanation:
Given
There are 6 candidates for a state of governor
Here, order is important. So, the no different orders is given by permutations
[tex]\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720[/tex]
There are 720 different orders for the candidate name to be printed.
PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answer:
c
Step-by-step explanation:
got it right
Answer:
y = 4x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-3) / 2 - 0
8 / 2
= 4
y = 4x + b
5 = 4(2) + b
5 = 8 + b
-3 = b
Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary
Answer:
3.25
Step-by-step explanation:
the triangle=15+9 8.5=3.25 in answer find x.8 ∆JKL OPTIMIZE 1 UP 3...8.a. Simplify: 10a+46-(3a+2b)
10a+46-(3a+2b)
= 10a + 46 - 3a - 2b
= 7a - 2b + 46
the vector a,b and c are given as a=2i+3j-4k. b =5i+3j+7k. c =6i+2j-k
find 1)a-2b+4c
2)5a+2b-c
Determine the period.
N
10
Hello,
f(x+5)=f(x)
Periode is 5
Answer:
It's 4 on acellus, not 5 :)
Step-by-step explanation:
Factor 12y^2 + 5y -2 completely
Answer: (4x-1)(3x+2)
Step-by-step explanation:
do u know how to factor?
Answer: (4y - 1)(3y + 2)
Step-by-step explanation:
[tex]12y^{2} +5y-2\\=(4y - 1)(3y + 2)[/tex]
You can also do it the long way using the quadratic formula:[tex]\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex], where a = 12, b = 5, and c = -2.
100 students are interviewed to see which of biology, chemistry or physics they prefer. 42 of the students are girls. 5 of the girls like biology best. 4 of the boys prefer physics. 13 out of the 21 who prefer chemistry are girls. What percentage of the students prefer biology?
Answer:
A total of 51 people prefer biology, 51%
Step-by-step explanation:
Girls: 42
Boys: 58
Biology: 5 girls and 46 boys(100-42=58, 58-[4+8]=46)
Physics: 4 boys and 24 girls(42-[5+13])
Chemistry: 13 girls and 8 boys(21-13=8)
I think this is the answer...