Answer:
Mixed number: 8 and 4/100
Improper fraction: 804/100
Since it says to not simplify, those are the answers.
Melissa runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
The perimeter of a triangle is 51 centimeters. The lengths of its sides are represented by x, x + 2 and x + 4. Find the lengths of all three sides.
Answer:
sides are 15 cm, 17 cm, and 19 cm
Step-by-step explanation:
x + (x+2) + (x+4) = 51
3x+6 = 51
3x = 45
x = 15
Levi Fry has 88 students for every 4 teachers. What is the ratio of teachers to students?A 22.2 B2.22 C22.1 D1.22 pls hurry
Answer:
C
Step-by-step explanation:
Division:
88/4 = 22
An exponential function will have:
Answer:
Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1.
Step-by-step explanation:
the population p of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population. if the carrying capacity of the population is 2400 rabbits, which of the following differential equations best models the growth rate of the rabbit population with respect to time t , where k is a constant? (A) = 2400 - kps
(B) = k (2400 – P)
(C) = k 1/p (2400 – P)
(D) = XP (2400 - P)
The differential equation that best models the growth rate of the rabbit population with respect to time t, where k is a constant is option D) \(\frac{dP}{dT}=KP(2400-P)\).
A differential equation is an equation that relates a function and its derivatives to some independent variables. The solution to a differential equation is a function that satisfies the equation and is often used to model physical processes.
Differential equations come in many forms, including ordinary differential equations (ODEs) and partial differential equations (PDEs).
For the population in function of the time, is:
\(\frac{dP}{dT}\)
The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population
Carrying capacity is 2400.
This means that the differential equation is kP(size of the population multiplied by the constant) multiplied by 2400 - P(difference between the population and the carrying capacity).
=> \(\frac{dP}{dT}=KP(2400-P)\)
Therefore, The differential equation that best models the growth rate of the rabbit population with respect to time t, where k is a constant is option D) \(\frac{dP}{dT}=KP(2400-P)\).
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3. If there are 220 members of the 7th grade
class, then how many students can be expected
to prefer the zoo?
Is 2:3 equal to 3:4 Please help will give brainliest!!!
Answer:
No
Explanation:
The unit rates are not the same.
present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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Race relations: A New York Times/CBS poll surveyed 1,027 adults nationwide about race relations in the United States. Of the sample, 61% 10 points responded that race relations in this country are generally bad. The 95% confidence interval is (0.58, 0.64). Which of the following is an appropriate interpretation of the 95% confidence interval?
A. There is a 95% probability that the proportion of all Americans who say that race relations in this country are generally bad is between 58% and 64%.
B. We are 95% confident that the proportion of the sample who say that race relations in this country are generally bad is between 58% and 64%.
C. Of the samples, 95% will have between 58% and 64% of respondents who say that race relations in this country are generally bad.
D. We are 95% confident that the proportion of all Americans who say that race relations in this country are generally bad is between 58% and 64%.
Answer:
D. We are 95% confident that the proportion of all Americans who say that race relations in this country are generally bad is between 58% and 64%.
Step-by-step explanation:
The 95% confidence interval refers that 95% of data is correct with respect of the population
Given that 95% confidence interval is (0.58, 0.64)
So based on this, the option D is correct as it shows the right thing with regard to 95% confidence interval
Therefore all the other options are incorrect as the first option is of probability, the second option is the sample, and the third option is of statement form i.e not standardized.
Given −48.132 ÷ −0.84, find the quotient.
40.4
47.292
57.30
−5.73
The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Given −48.132 ÷ −0.84.
Then the value of the expression will be
⇒ −48.132 / −0.84
If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.
⇒ 48.132 / 0.84
⇒ 57.30
The quotient of the expressions −48.132 and −0.84 will be 57.30.
Then the correct option is C.
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Find all solutions of the equation 2\cos 3x =1 in the interval [0,\pi).
x1=
x2=
x3=
Answer:
x1= pi/9
x2=5pi/9
x3=7pi/9
Step-by-step explanation:
\Ih -what is the square root of 14161
Answer:
The answer is 119
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
There is a reason why the answer is 119
First, lets take a look at your perfect squares chart ( by tens )
10 x 10 = 100
20 x 20 = 400
30 x 30 = 900
40 x 40 = 1600
50 x 50 = 2500
60 x 60 = 3600
70 x 70 = 4900
80 x 80 = 6400
90 x 90 = 8100
100 x 100 = 10000
110 x 110 = 12100
120 x 120 = 14400
we know that 12100 < 14161 < 14400, so it has to be in between the square root of 110 and the square root of 120
111 x 111 = 12321
112 x 112 = 12544
113 x 113 = 12769
114 x 114 = 12996
115 x 115 = 13225
116 x 116 = 13456
117 x 117 = 13689
118 x 118 = 13924
119 x 119 = 14161
We found out that the square root of 119 = 14161
Therefore, the square root of 119 = 14161
If you want to find out a quicker way to do this, comment me below
Promise Easy Points
Calculate the average monthly expenses for these individuals?
Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____
Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____
$420+$350+$432=kelsey's monthly expenses
$700+$800=Micheal's Monthly expenses
Michael's average monthly expenses are $750.
What is the average?The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Kelsey spent $350 in May, $432 in June and $420 in July.
Now, average monthly expenses are
(350+432+420)/3
= 1202/3
= 400.67
Michael spent $700 in April and May and $800 in June and July.
Here, (700×2+800×2)/4
= (1400+1600)/4
= 3000/4
= $750
Therefore, Michael's average monthly expenses are $750.
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What’s the difference/same with y/x and y1-y2/x2-x1? Are they both the same?
They are both similar but not entirely the same.
The first expression y/x means we divide y over x. We divide two values here and we are not subtracting first before division. This expression is useful for when you want to find the variation constant in the equation y = kx (for direct proportion equations).
The other expression (y2-y1)(x2-x1) is where we first subtract the y values, and do the same for the x values, before we divide. This computes the slope of the line through the two points (x1,y1) and (x2,y2). It's also useful to figure out the average rate of change (one application of slope). For problems involving time versus distance, the average rate of change is the average speed in which the object is moving.
Kyra is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve large rooms that can hold 8 people, and small rooms that can hold 6 people. Kyra reserved twice as many large rooms as small rooms, which altogether can accommodate 88 guests. Determine the number of small rooms reserved and the number of large rooms reserved.
The number of small rooms reserved is 4.
The number of large rooms reserved is 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Small rooms are denoted as S.
Large rooms are denoted as L.
Now,
We will make two equations.
L = 2S _____(1)
8L + 6S = 88 ______(2)
Putting (1) in (2) we get,
8L + 6S = 88
8 x (2S) + 6S = 88
16S + 6S = 88
22S = 88
S = 88/22
S = 8/2
S = 4
Now,
Putting S = 4 in (1) we get,
L = 2 x 4
L = 8
Thus,
The number of small rooms and large rooms reserved is 4 and 8.
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SD and SG are tangent to ⊙ K. Identify SG. HELP!!
Answer:
63
Step-by-step explanation:
Tangents drawn from external point to a circle are congruent.
Therefore,
SG = SD
8x - 9 = 5x + 18
8x - 5x = 9 + 18
3x = 27
\(x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}\)
Answer: 63
Tangents drawn from external point to a circle are congruent.
SG = SD
8x - 9 = 5x + 18
8x - 5x = 9 + 18
3x = 27
Step-by-step explanation: 63
Rectangle ABCD is congruent to rectangle A′′B′′C′′D′′ . Which sequence of transformations could have been used to transform rectangle ABCD to produce rectangle A′′B′′C′′D′′ ? Responses Rectangle ABCD was translated 8 units left and then 7 units down. , , rectangle A B C D, , , , was translated 8 units left and then 7 units down. Rectangle ABCD was reflected across the y-axis and then across the x-axis. , , rectangle A B C D, , , , was reflected across the y -axis and then across the x -axis. Rectangle ABCD was rotated 180° around the origin and then translated 7 units down. , , rectangle A B C D, , , , was rotated 180° around the origin and then translated 7 units down. Rectangle ABCD was translated 2 units left and then 3 units down.
It transform rectangle in 8 units left and then 7 units down then x-axis and subsequently the y-axis were reflected and after this translated 7 units down
What is a transformation's sequence?A set of translations, rotations, reflections, and dilations on a figure constitute a series of transformations in geometry. A composition of transformations is what results when two or more transformations are joined to create a new transformation. In a composition, one transformation creates a picture that serves as the foundation for the subsequent other transformation.
The possible transformations that rectangle ABCD could have undergone to become rectangle A′′B′′C′′D′′ are as follows: -
It was translated 8 units left, then 7 units down, for rectangle ABCD.
- First, the x-axis and subsequently the y-axis were reflected by the rectangle ABCD.
- Rectangle ABCD was translated 7 units down after being rotated 180 degrees around its origin.
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Shen the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were clients who did Plan A and who did Plan B. On Thursday there were clients who did Plan A and who did Plan B. Shen trained his Wednesday clients for a total of hours and his Thursday clients for a total of hours. How long does each of the workout plans last?
The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B = 0.5 hours.
What would be the length of the sessions?The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:
2A + 12B = 9 hours
On Thursday, we would have
5A + 3B = 9 hours
2A + 12B = 9 Eqn 1
5A + 3B = 9 Eqn 2
Multiply equation 2 by -4
2A + 12B = 9
-20A - 12B = -36
2A - 20A = 9 -36
-18A = -27
Divide both sides by -18
A = 1.5 hours
For B, substitute A in the first equation
2(1.5) + 12B = 9
3 + 12B = 9
12B = 9 - 3
12B = 6
Divide both sides by 12
B = 0.5
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Complete Question:
Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?
Perform the indicated operations. Write answer in descending order.
Subtract the sum of 3w - 3 and 5w + 3 from 2w - 8
In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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which must be true in order for the relationship zyx~wvu to be correct
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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Drew wants to buy sports equipment that costs $140. The sales tax is 8%. What is the total cost of the equipment with the tax?
Answer: $151.20
Step-by-step explanation: 8 percent of 140. Add this number to 140.
\(\frac{x}{140} = \frac{8}{100}\)
100x=112
x=11.2
the cost of a movie ticket depends on your age . the piecewise function below gives the cost of a movie ticket for children , adults , senior citizens .
a) how much does a ticket cost of a movie goer is 22 years old
b) find c(8) and explain it's meaning in context .
Answer:
8.50
Step-by-step explanation:
The cost of 900 shares of stock selling for 57 5/8 is
Answer:
$51,862.50
Step-by-step explanation:
... the product of the number of shares and the price:
(900)($57 5/8) = $51,862.50
Answer:
51 862.5
Step-by-step explanation:
If the share cost 57 5/8 per share
It means 900 share would cost
900 * 57 5/8
900 * 461/8 = 51 862.5
Select all of the situations below that can be modeled by the expression 4 + 3x.
Four more than three and a number.
Four more than three times a number.
The sum of three times a number and four.
The sum of the product of four, three, and a number.
The sum of four and the product of three and a number.
Answer:
1 2 3
Step-by-step explanation:
Which of the following are accurate assessments of trends displayed in this graph?
I. Sales of teddy bears decreased by about 2.9% between September and October.
II. The change in sales of rabbits is roughly equal to the change in sales of all toys.
III. Roughly 24.1% fewer horses were sold in October than in September.
a. I and II
b. II only
c. I and III
d. III only
Answer:
✅ D. III onlygot it right on the test⬇️
The correct statement is
Roughly 24.1% fewer horses were sold in October than in September.
What is Data?Data refers to any information, regardless of how it is presented or represented. A data can be a numeric expression, a piece of text like a name or address, or it can be a number.
We have,
September October Trend
Teddy bears 346 308 -10.98%
Rabbits 297 260 -12.46%
Cats 199 285 +43.22%
Horses 245 186 -24.08%
Others 225 275 +22.22%
Total 1,312 1,314 +0.15
Now, Sales of teddy bears decreased by about 2.9% between September and October.
That reduced by around 11%, thus it is untrue.
II. The change in sales of rabbits is roughly equal to the change in sales of all toys.
It is untrue because variations in the sales of rabbits do not correspond to variations in the sales of all toys.
III. Roughly 24.1% fewer horses were sold in October than in September.
Yes, this is correct.
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Please stop with the trolls
Answer:
6
scale factor b to A = 4
Step-by-step explanation:
scale factor
We multiply the scale factor times the original figure length to get the new figure length
x * scale factor = 1.5
The scale factor is 1/4
x * 1/4 = 1.5
Multiply each side by 4 to get rid of the fraction
x * 1/4 *4 = 1.5 * 4
x = 6
The scale factor from figure B to figure A
1.5 * scale factor = 6
scale factor = 6/ 1.5
scale factor = 4
88 student said they watch TV everyday. This number represents 80% of the students body. What is the total number of students in the student body? And i need you to give me the part,whole,and percent
The total number of students in the student body is 110.
How many students are in the student body?Percentage is the ratio of an amount expressed as a number out of 100. The sign that is used to represent percentage is %.
In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.
In order to determine the total number of students in the student body, divide the number of students that watch TV everyday by the given percentage.
Number of students in the student body = number of students that watch TV everyday / percentage
88 / 80%
= 88 / 0.8 = 110
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Calc II Question
Sketch the region enclosed by the given curves and find its area.
Y = lxl , y = x^2 - 2
Answer:
\(\displaystyle A=\frac{20}{3}\)
Step-by-step explanation:
\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)
Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.
What is 48.6% of 19?
Please