Answer:
348 frogs
Step-by-step explanation:
ratio = 3:7
total of ratio = 10
frogs = 3/10 × 1280 = 348 frogs
Answer:
let the ratio be 3x and 7x.
3x+7x=1280
10x=1280
x=128
Now
frogs =3x=3*128=384
toads =7x=7*128=896
Your calculator is showing a result of 248.592.
What is this to the nearest whole number?
WILL MARK BRAINIEST, QUESTION IS HARD, Ann works for a city’s parks and recreation department. She is looking for some commercial land to rezone for recreational use and has found two possible options. Ann’s first option is a plot of land adjacent to a current park. The current park is a square, and the addition will increase the width by 200 meters to give the expanded park a total area of 166,400 square meters. This equation represents the area of the first option, where x is the side length of the current square park: x2 + 200x = 166,400. Use the most direct method to solve this equation and find the side length of the current square park. Explain your reasoning for both the solving process and the solution.
Answer:
[tex]x =320[/tex]
Step-by-step explanation:
Given
[tex]x^2 + 200x = 166400[/tex]
Required
Find x
We have:
[tex]x^2 + 200x = 166400[/tex]
Rewrite as:
[tex]x^2 + 200x - 166400 = 0[/tex]
Expand
[tex]x^2 + 520x - 320x - 166400 = 0[/tex]
Factorize
[tex]x(x + 520) - 320(x + 520)= 0[/tex]
Factor out x + 520
[tex](x - 320) (x + 520)= 0[/tex]
Split
[tex]x - 320 = 0\ or\ x + 520= 0[/tex]
Solve
[tex]x = 320\ or\ x =- 520[/tex]
Side length must be positive;
So:
[tex]x = 320[/tex]
Peter is married and has two children. He wants to be sure that he has sufficient life insurance to take care of his family if he dies. Peter’s wife is a homemaker but attends college part-time pursuing a law degree. It will cost approximately $40,000 for her to finish her education. Since the children are teenagers, Peter feels he will only need to provide the family with income for the next 10 years. He further calculates that the household expenses run approximately $35,000 per year. The balance on the home mortgage is $30,000. Peter set up a college fund for his children when they were babies, and it currently contains sufficient funds for them to attend college. Assuming that Peter’s wife can invest the insurance proceeds at 8%, calculate the amount of insurance Peter needs to purchase.
Answer:
$304,853
Step-by-step explanation:
Given:
I - 8
N - 10
PMT - 35,000
FV - 0
solution :
We use the Budget method to estimate the amount of insurance needed
PV of annual expenses
=PV(8%,10,-33100) considering Rate=8%, N=10
PV - ? = $337,501.61
Amount of Insurance to Purchase = $234,853 + $40,000 + $30,000 = $304,853
given f(x)=2x-4 and g(x)=x213, determine gf[x]]
Step-by-step explanation:
you have to substitute the function g(x) where there's x in the function f(x)
gf(x)=2(x213)-4
if that's x two thirteen then you can multiply the 2 outside the brackets by it
giving you a final answer of
gf(x)=426x-4
hope it helps and sorry if am wrong
Please help!! Which two equations are the equations of vertical asymptotes of the function y = 5∕3 tan(3∕4x)?
A) x = 0 and x = 2π∕3
B) x = 4π∕3 and x = –4π∕3
C) x = 0 and x =4π∕3
D) x = 2π∕3 and x = –2π∕3
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Answer:
D) x = 2π∕3 and x = –2π∕3
Step-by-step explanation:
The tangent function has asymptotes at ±π/2, so the corresponding values of x are ...
(3/4)x = ±π/2
x = (±π/2)(4/3) = ±2π/3 . . . . matches choice D
a yogurt shop offers 7 different flavors of frozen yogurt and 11 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping
answer: 77
Step-by-step explanation:
7×11=77
sorry if I'm wrong
Answer:
fijatebie nl aperguntaa
Step-by-step explanation:
The figures to the right are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas
(integer or a simplified fraction)
Thank you!
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Answer:
perimeter: 3 : 4area: 9 : 16Step-by-step explanation:
The perimeter ratio smaller : larger is the same as the side length ratio.
18 : 24 = 3 : 4 . . . smaller : larger perimeter ratio
The area ratio is the square of this.
3^2 : 4^2 = 9 : 16 . . . smaller : larger area ratio
Find the measure of the missing angles. WILL GIVE BRAINLIEST
Find the measure of the missing angles.
WILL GIVE BRAINLIEST
Answer:
<d = 90
<e = 46
<f = 134
Step-by-step explanation:
<d = 90 since it forms a straight line with a 90 degree angle
<e = 46 since they are vertical angles and vertical angles are equal
<f = 134 since it is a linear pair with 46 ( they add to 180) f+46 = 180
f = 180-46 f =
[tex]{\footnotesize{\bold{\textbf{\textsf{{\fcolorbox{brown}{gold}{~Brainliest~answer}}}}}}}[/tex]
See this attachment
A quality control inspector has drawn a sample of 18 light bulbs from a recent production lot. If the number of defective bulbs is 1 or more, the lot fails inspection. Suppose 30% of the bulbs in the lot are defective.
Required:
What is the probability that the lot will pass inspection?
Answer:
0.0016 = 0.16% probability that the lot will pass inspection.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Sample of 18 light bulbs
This means that [tex]n = 18[/tex]
30% of the bulbs in the lot are defective.
This means that [tex]p = 0.3[/tex]
What is the probability that the lot will pass inspection?
It will pass inspection if there are no defective bulbs, that is, we have to find P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{18,0}.(0.3)^{0}.(0.7)^{18} = 0.0016[/tex]
0.0016 = 0.16% probability that the lot will pass inspection.
How many of 320 million Americans would you predict wear contact lens
Answer:
I think 40 - 60 Million Americans would wear contact lenses.
A manufacturing company produces part QV2Y for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part QV2Y is the same for all three processes. The production supervisor obtained the following data: Process 1 had 29 defective units in 240 items, Process 2 produced 12 defective units in 180 items, and Process 3 manufactured 9 defective units in 150 items. At a significance level of 0.05, we performed a chi-square test to determine whether the quality of the items produced appears to be the same for all three processes. What is the null hypothesis
Answer:
Null hypothesis :
H0 : Quality of parts produced been independent of the production process
We will reject Null hypothesis if value of test statistic ( x^2) > critical value of x^2 at significance level ( ∝ ) 0.05
Step-by-step explanation:
Part produced = QV2Y
Part can be produced using three ( 3 ) different production process
Production process results
process 1 : 29 defective in 240
significance level = 0.05
Null hypothesis :
H0 : Quality of parts produced been independent of the production process
We will reject Null hypothesis if value of test statistic ( x^2) > critical value of x^2 at significance level ( ∝ ) 0.05
critical value = 5.99147 where df = 2
Which polynomial correctly combines the like terms and puts the given polynomial in standard form? -5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5
Given:
The polynomial is:
[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]
To find:
The simplified form of the given polynomial in standard form.
Solution:
We have,
[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]
Combining the like terms, we get
[tex]=-5x^3y^3+8x^4y^2+(-2x^2y^4+3x^2y^4)+8x^6+(-xy^5-6xy^5)[/tex]
[tex]=-5x^3y^3+8x^4y^2+x^2y^4+8x^6-7xy^5[/tex]
Now, rewrite this polynomial in standard form.
[tex]=8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex]
Therefore, the required polynomial in standard form is [tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex].
Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 20 more adult tickets than student tickets
to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets
Answer:
A= 80
Step-by-step explanation:
I'm not good at explaining my work. I sometimes can look at the problem and find the answer in 2 seconds.
three cards are drawn from an ordinary desk and not replaced
find probability a.getting 3 jackets
Answer:
Assuming you meant three jacks:
1 in 5525 or else 1/5525.
Step-by-step explanation:
You start with a full deck of 52 and 4 jacks. After each draw, you reduce both the jacks and total deck by one. Your first draw would be 4/52. The next would be 3/51. The final draw would be 2/50. You multiply each fraction together as you need all of them to happen, and that is your odds of drawing 3 jacks in a row without replacement.
46. Five people L, M, n, O and P sit in a row, not necessarily in the same order.
P sits exactly in between Mand n. if Lsits exactly in between Mand O, then
which of the following must be true?
(A) O sits to the immediate right of M.
(B) L and n always sit together.
(C) M sits exactly at the centre of the row.
(D) P sits between Mand L.
caniay Gannat Dhruy. nagrai and Jiyan are
Order these in the correct order fanks
Answer:
0.05, 8%, 15/100, 3/10, 0.7
Step-by-step explanation:
so they are 5%, 8%, 15%, 30%, 70%
Find the measure of the missing angles in the regular polygon below.
Step-by-step explanation:
First, we can see that the angles inside the polygon form a full circle, as it goes fully around. Therefore, the sum of the angles around the center of the circle (such as m < 7) is 360 degrees. Since it is a regular polygon, and the lines are going from the center to its corners, the 6 angles directly surrounding the center are equal.
Each angle is therefore 360/6 = 60 degrees, so m<7 is 60 degrees.
For m<8, we can see that a line bisects one of the 6 angles surrounding the center. Therefore, m<8 is 1/2 of the angle it bisects, which is equal to 360/6 = 60 degrees, and m<8 = 60/2 = 30 degrees
Finally, we can see that there are 6 sides of the polygon. For a polygon with n number of sides, the sum of its interior angles is equal to (n-2) * 180. Here, there are 6 sides, so the sum of this polygon's interior angles is (6-2) * 180 = 4 * 180 = 720. Because this is a regular polygon, each interior angle is the same, and because there are 6 of them, each one is 720/6 = 120 degrees. As shown in the picture, m < 9 is seemingly one-half of an interior angle, as it is bisected by a line from the center to a corner.
Therefore, m <9 = 120 /2 = 60 degrees
How does the function notation compare with the standard notation?
Rationalize the denominator and simplify
Answer:
x² - √3x / x² - 3
Step-by-step explanation:
To Do :-
To rationalize the denominator .Solution :-
We need to rationalize ,
x/ x + √3Multiply numerator and denominator by x-√3 :-
x( x - √3 ) / ( x +√3)( x -√3) x² - √3x / (x)² - (√3)² x² - √3x / x² - 3What is the slope of the line that contains these points? xxx 454545 494949 535353 575757 yyy 101010 555 000 -5−5minus, 5 slope:
Answer:
-5/4
Step-by-step explanation:
Given :
x : 45, 49, 53, 57
y : 10, 5, 0, - 5
The slope of the line :
Slope = Rise / Run
y2 = - 5, y1 = 10
x2 = 57, x1 = 45
Rise = y2 - y1 = - 5 - 10 = - 15
Run = x2 - x1 = 57 - 45 = 12
The slope = Rise / Run = - 15 / 12 = - 5/4
Answer:
-1
Step-by-step explanation:
i brought the answer correct
help me plsssss i’m not sure how to do it
Answer:
x^16 y^8
Step-by-step explanation:
x = 8 x 2 = 16
y = 4 x 2 = 8
Answer:
x^16y^8
Step-by-step explanation:
all you gotta do is multiply the exponent on the inside and the outside
hope this helped ^^
use elimination to solve the system for 4x + 7 y equals -14 + 8 x + 5 y equals 8 for x
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Answer:
(x, y) = (3.5, -4)
Step-by-step explanation:
Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.
Subtract the second equation from 2 times the first.
2(4x +7y) -(8x +5y) = 2(-14) -(8)
9y = -36 . . . . . simplify
y = -4 . . . . . . . divide by 9
4x +7(-4) = -14 . . . . substitute for y in the first equation
4x = 14 . . . . . . . add 28
x = 3.5 . . . . divide by 4
The solution is (x, y) = (3.5, -4).
Scatterplots show:
A the frequency of individual test scores.
B causal relationships between two variables.
C two scores represented as individual points on the graph.
D bars representing different variables.
Answer:
B. causal relationships between two variables
Scatterplots show causal relationships between two variables. Option B is correct.
A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).
Here,
Given that, to justify Scatterplots,
Plotting a scattergram using the data points can assist in determining whether they have a probable relationship.
Thus, Scatterplots show causal relationships between two variables. Option B is correct.
Learn more about scatter plots here:
https://brainly.com/question/29231735
#SPJ2
Use the drop-down menus to select answer.
Use the fraction bars and the expression provided to answer the questions.
Answer:
loser you called me a bad word so now I'm taking points
Step-by-step explanation:
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)
f(x) = 7/1+x a=2
If f(x) = 7/(1 + x), then
f (2) = 7/3
f '(x) = -7/(x + 1)² ==> f ' (2) = -7/9
f ''(x) = 14/(x + 1)³ ==> f '' (2) = 14/27
f '''(x) = -42/(x + 1)⁴ ==> f ''' (2) = -14/27
Then the Taylor series of f(x) about a = 2 is
7/3 + 1/1! (-7/9) (x - 2) + 1/2! (14/27) (x - 2)² + 1/3! (-14/27) (x - 2)³
= 7/3 - 7/9 (x - 2) + 7/27 (x - 2)² - 7/81 (x - 2)³
Factor 60y-90-20X to identify the equivalent expressions.
Choose 2 answers:
A) 5(14y−16−4x)
B) 2(30−45−10)
C) 5(12y−18−4x)
D) 10(6y−9−2x)
Please I need help :)
Please help out really need it !!
Answer:
use the area formula
Step-by-step explanation:
Answer:
rounded to the nearest tenth i think its 40
Salma invested $8000 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $1400. As a percentage, what was the annual interest rate of her investment?
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Answer:
about 2.917%
Step-by-step explanation:
The simple interest formula can be used. Fill in the known values and solve for the unknown.
I = Prt . . . . principal P invested at rate r for t years
1400 = 8000(r)(6)
r = 1400/48000 = 7/240 = 0.0291666...
Salma's interest rate was about 2.917% per year.
Suppose you deposit $500 in a savings account where the interest earned is compounded
continuously at a rate of 10%. How many years will it take the balance in the account to reach
$8000 (round your answer to the nearest year)?
