Answers
Related Questions
Cai drove 189 miles in 7 hours. If he continued at the same rate, how far would he
travel in 12 hours?
Answers
Of the following fractions3/7, 5/8, 7/13, and 11/19 Which is the largest
Answers
Answer:
5/8
Step-by-step explanation:
5/8=0.6.25
0.625> all the other numbers
Find the domain and range of the function graphed below. Write your answers in interval notation.
Answers
Answer:
Domain: [tex][-2, 3)[/tex]Range: [tex](-5, 4][/tex]Is the relation a function? - YesStep-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
A relation is a function if each value of x maps onto no more than one value of y.
Simplify x^2+2x+1 divided by x+1
Answers
The quotient is x+1.
What Long division method?Long division is a method for dividing one large multi digit number into another large multi digit number.
Given:
f(x)= x²+2x+1
g(x)= x+1
The steps to divide the polynomial is :
Divide the leading term of the dividend by the leading term of the divisor: x²/x=x.Multiply it by the divisor: x(x+1)=x²+x.Subtract the dividend from the obtained result: (x²+2x+1)−(x²+x)=x+1.Divide the leading term of the obtained remainder by the leading term of the divisor: x/x=1.Multiply it by the divisor: 1(x+1)=x+1.Subtract the remainder from the obtained result: (x+1)−(x+1)Learn more about long division method here:
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Which statement describes how the y-intercept of the graph of f(x) = |2x − 1| compares to the y-intercept of the graph of g(x) = |2x − 5|? A. The y-intercept of g is 4 units above the y-intercept of f. B. The y-intercept of g is 4 units below the y-intercept of f. C. The y-intercept of g is 4 units to the right of the y-intercept of f. D. The y-intercept of g is 4 units to the left of the y-intercept of f.
Answers
The statement "the y-intercept of g is 4 units above the y-intercept of f'' is true option first is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = |2x - 1| and
g(x) = |2x - 5|
After plotting on a coordinate plane.
The y-intercept of f(x) is 1
The y-intercept of g(X) is 5
Or plug x = 0 to find the y-intercept.
The y-intercept of g is 4 units above the y-intercept of f
Thus, the statement "the y-intercept of g is 4 units above the y-intercept of f'' is true option first is correct.
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Question 4tiple Choice Worth 5 points)
(07.03 MC)
Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B?
O Translate circle A using the rule (x+4y+3)
O Rotate circle A 45" about the center
O Dilate circle A by a scale factor of 4
O Reflect circle A about the origin
Answers
Answer:
Dilate circle A by a scale factor of 4.
Step-by-step explanation:
To show that two circles are similar, use transformations to map one to the other.
Step 1
Translate circle A so that its center is the same as circle B.
Center of circle A = (6, 7)Center of circle B = (2, 4)Translate circle A using the rule (x - 4, y - 3)
Step 2
Find the scale factor needed to dilate circle A to the size of circle B using the radii of the circles.
Radius of circle A = 4Radius of circle B = 16⇒ scale factor = 16 ÷ 4 = 4
Dilate circle A by a scale factor of 4.
Therefore, the only answer option that is correct is:
Dilate circle A by a scale factor of 4.
Which is the domain and range of the parabola with the equation y = 0.5(x2 – 8x – 6)?
D: (–∞, ∞); R: (–∞, –11]
D: (–∞, ∞); R: [–11, ∞)
D: (–∞, –11]; R: (–∞, ∞)
D: [–11, ∞); R: (–∞, ∞)
Answers
Answer:
D: (–∞, ∞); R: [–11, ∞)
Step-by-step explanation:
The domain of a quadratic function is all real numbers, so eliminate the third and fourth options.
Also, since the coefficient of [tex]x^2[/tex] is positive, we know the graph opens up and thus has a minimum.
This means that the first option must be wrong since the range has a maximum, not a minimum.
Therefore, the correct answer is Option 2.
Answer:
D: (–∞, ∞); R: [–11, ∞)
Step-by-step explanation:
I honestly don't know the answer but the other person said this so I'm putting it as my answer ill update this answer when i find out if its right or not.
update I GOT A 100% woop woop
What is the scale factor from ABC to DEF?
A. 2
B. 1/2
C. 3
D. 1/3
Answers
Answer:
The scale factor is 3 C)as ABC = 3* DEF
AB = 5
DE = 15 = 5*3
AC = 3
DF = 9 = 3*3
BC = 4
EF = 12 = 4 * 3
Your final answer: C. If you need to better understand it, let me know and I will gladly assist you!
5. Dan is making the perfect shade of purple paint for his Nana. The perfect shade of purple mixes red and blue paint at a
ratio of 4 to 5. Accidently Dan mixed five cups of red and four cups of blue, using up all his red paint. How much blue must
he add to fix his mistake?
Answers
Answer:
2 and 1/4 cups
Step-by-step explanation:
4 cups-5 cups
5 cups-?
(5×5)÷4=6 cups and 1/4
6 and 1/4-4=2 cups and 1/4
Dan already added 4 cups of blue so he needs to add another 2.25 cups to get the perfect purple
Translate each English phrase in the following problem into an algebraic expression and set up the related equation. Let z be the unknown number. The difference between a number and −23 − 23 is equal to the product of the number and 13 13 . Step 2 of 3 : Translate "the product of the number and 13 13 ".
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The English phrase of the obtained equation is 12 times z subtracted by 3. The obtained equation after solving is 12z -23
What exactly is simplification?Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Given data;
z be the unknown number
Given conditions;
1. The difference between a number and −23.
2.−23 is equal to the product of the number and 13.
The mathematical form of the given phrase is;
⇒ z - (-23) = z × 13
⇒z+23 = 13z
⇒12z -23
The English phrase of the obtained equation is 12 times z subtracted by 3.
Hence the simplification of the given expressions is 12z -23.
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Select the correct answer from each drop-down menu.
Consider the function Ax) = 3x+ 1 and the graph of the function g(x) shown below.
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Answer:
write three methods of writing set. Give one example of each methods.
(-3,-2) (x,6) m=-8/5 solve for x
Answers
Answer:
-8
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
-8/5=(6-(-2))/(x-(-3))
-8/5=(6+2)/(x+3)
-8/5=8/(x+3)
5=-(x+3)
5=-x-3
-x=5+3
-x=8
x=-8
Identify parallel and perpendicular lines
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Parallel lines are those on a plane that do not intersect while perpendicular lines are those that intersect at an angle of 90°.
How are parallel and perpendicular lines different?Parallel lines will never intersect with each other and will maintain the same distance from each other for as long as they are on the same plane.
Perpendicular lines on the other hand will intersect each other and will do so at a 90° angle. An example of such a line is the steps on a ladder which intersect the beam at a 90° angle.
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Solve the inequality
Answers
Then divide all sides by -5
You should get
5 less than or equal to c less than or equal to 4
Hope this helped :)
Given that the slope is 4 and (4, 6) is on the line. Write the equation of the line
in the slope-intercept
form
Answers
Answer:
y= 4x - 10
Step-by-step explanation:
y-6 = 4(x - 4)
y - 6 = 4x -16
+6. +6
y= 4x - 10
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 17 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) For a single randomly selected movie, find the probability that this movie's production cost is between 55 and 58 million dollars. For the group of 17 movies, find the probability that the average production cost is between 55 and 58 million dollars. For part d), is the assumption of normal necessary? NoYes
Answers
Using the normal distribution, we have that:
The distribution of X is [tex]X \approx (57,22)[/tex].The distribution of [tex]\mathbf{\bar{X}}[/tex] is [tex]\bar{X} \approx (57, 5.3358)[/tex].0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the parameters are given as follows:
[tex]\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358[/tex]
Hence:
The distribution of X is [tex]X \approx (57,22)[/tex].The distribution of [tex]\mathbf{\bar{X}}[/tex] is [tex]\bar{X} \approx (57, 5.3358)[/tex].The probabilities are the p-value of Z when X = 58 subtracted by the p-value of Z when X = 55, hence, for a single movie:
X = 58:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{58 - 57}{22}[/tex]
Z = 0.05.
Z = 0.05 has a p-value of 0.5199.
X = 55:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 57}{22}[/tex]
Z = -0.1.
Z = -0.1 has a p-value of 0.4602.
0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
For the sample of 17 movies, we have that:
X = 58:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{58 - 57}{5.3358}[/tex]
Z = 0.19.
Z = 0.19 has a p-value of 0.5753.
X = 55:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{55 - 57}{5.3358}[/tex]
Z = -0.38.
Z = -0.38 has a p-value of 0.3520.
0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.
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From this diagram, select the
pair of lines that must be
parallel if angle 2 is congruent to angle 6. If there is no pair of lines, select none
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Answer:
A). O is parallel to qif angle 2 is congruent to 6 them the slope of line o and q is equal
that is line o is parallel to q
Add. State the sum in simplest form.
Answers
Answer:
[tex] \frac{ {3x}^{2} }{x + 5} + \frac{15x}{x + 5} [/tex]
[tex] \frac{3 {x}^{2} + 15x}{x + 5 } [/tex]
3x ( x + 5) /( x + 5).
3x, X is not equal to (-5)How do I solve this problem? It’s been awhile since I’ve done math
C=(2+y)h
solve for y
Answers
Answer:
y = C/h - 2
Step-by-step explanation:
Equation
C = (2 + y)*h
Solution
C = (2 + y)*h Divide by h
C/h = (2 + y)*h/h
C/h = 2 + y Subtract 2 from both sides
C/h-2 = 2-2+ y Combine
C/h - 2 = y
Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form
Answers
The expression that represents this inequality must relate both temperatures, then it would look like this: -40°F < x < 140°F.
How to write this situation with an inequality?To express this situation in an inequality we must include the temperature values. Additionally, we must include the greater than (>) or less than (<) symbols to relate the values.
According to the above, the expression would look like this:
-40°F < x < 140°FNote: This question is incomplete because some information is missing. Here is the information:
A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at −40° F and evaporates at 140° F.
Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form.
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Which function is the inverse of f(x)=1/2x+5?
Answers
x=1/2y+5
1/2y = x-5
y = 2x - 10
Therefore, the inverse of f(x) = 2x - 10.
In Triangle XYZ, XZ = XY and m∠Y=57°. The longest side of the triangle is ______.
YZ
XZ
XY
Both XZ and XY
Answers
Answer:
I think YZ 'cause the triangle is iscoceles triangle. As the two sides XY and XZ are equal the longest side is YZ.
since XY=XZ, XYZ is the isosceles and naturally angle Y = angle Z = 57 degree.
so in a traingle the longest side is on the opposite side of the biggest angle.
If the congruent sides measures 57, the angle opposite the base( angle X) would mean 180-57-57 = 66. So basically the side which is opposite to X is the longest and that side being YZ.
correct function combinations to x2-7x-18
Answers
The factors of the function after factorization f(x)=[tex]x^{2} -7x-18[/tex] is (x+2) and (x-9)
Given Function f(x)=[tex]x^{2} -7x-18[/tex] and we have to find the factors of the given function.
The function whose factors are to be found is f(x)=[tex]x^{2} -7x-18[/tex]
Factorization means finding various expressions which when together multiplied will give the function itself. Correct combination can only be found by finding the factors of the function. Without finding factors no one can find the solution of an equation or expression also.
f(x)=[tex]x^{2} -9x+2x-18[/tex]
=x(x-9)+2(x-9)
=(x+2)(x-9)
Hence the factors which when combine together gives function f(x)=[tex]x^{2} -7x-18[/tex] are (x+2)(x-9).
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can someone please help me?!? 25 points
please write wether each one is a function or a growth rate!!!
Answers
Answer:
See below
Step-by-step explanation:
There are 52 weeks in a year, so divide t by 52
= 120 (1.016)^(t/52)
then the % for one week = 1.016^1/52 = 1.0003 = .03%
PLEASE HELP
Natalie invests $6,680 in a savings account with an interest rate of 2% compounded continuously.
How long will it take for the account balance to reach $8,838.51?
Answers
The time it will take the money to reach $8,838.51 is 14years
Compound interestThe formula for calculating compound interest is expressed as:
A = P(1+r)^t
where
P = $6,680
A = $8,838.51?
r = 2% = 0.02
Substitute and calculate the time 't"
8,838.51 = 6680(1+0.02)^t
1.3231 = 1.02^t
t = ln1.3231/ln1.02
t = 14years
Hence the time it will take the money to reach $8,838.51 is 14years
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considering the inequality -5x-4y<12 , the shaded area of its graph is described by
Answers
The shaded area for the inequality y > -3-(5/4)x is given below.
The inequality is the relation between two expressions showing the relationships such as greater than, lower than, greater than equals to, and lower than equals to.
The given inequality is -5x-4y<12
solving this inequality for y
-5x-4y<12
⇒ -4y<12+5x
⇒y > (12+5x)/(-4)
⇒y > -3-(5/4)x
the line y= -3-(5/4)x has y intersection at (0,-3) and x intersection at (-12/5,0).
The inequality y > -3-(5/4)x show that this will be above the straight line y = -3-(5/4)x as if we put (0,0) in the inequality, the inequality will be 0>-3 which is true that shows that the region contains (0,0).
Therefore the shaded area for the inequality y > -3-(5/4)x is given below.
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I need this answered fast pleasee
Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B rents for $150 and $50 an hour. Let t = the number of hours and c = cost.
Part A Write a system of equations to represent the cost at each studio.
Part B Solve the system of equations from Part A. Explain your method.
Part C Explain what the solution to the system means in terms of where your band will rent a studio.
Answers
The descriptive answer of different part is described below.
What is Linear Equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
Here, Studio A rents for $75 plus $75 an hour .
Studio B rents for $150 and $50 an hour.
Let t = the number of hours and c = cost.
Part A
Studio A: c = 75 +75·t
Studio B: c = 150 +50·t
Part B
We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.
150 +50·t = 75 +75·t, subtract 75 and 50t from both sides
150 -75 = 75t -50t, combine likes terms
75 = 25t, divide both sides by 25
3 = t
Now we know that t = 3 so we find c by substituting t with 3 in the second equation.
c = 150 +50·t
c = 150 +50·3
c = 300
The solution of the system of equations is c = 300 and t = 3
Part C:
The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.
The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.
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Describe the end behavior for the graph of y=-x³- ax + 3, if a is a constant.
Answers
Answer: Choice C
As [tex]\text{x} \to \infty[/tex] then [tex]\text{y} \to -\infty[/tex]
As [tex]\text{x} \to -\infty[/tex] then [tex]\text{y} \to \infty[/tex]
Check out the diagram below.
========================================================
Explanation:
The leading term is the term with the largest exponent. That would be the term of [tex]-\text{x}^3[/tex]. The leading term directly determines the end behavior. The other terms will not play a role.
What this means is that the end behavior of [tex]\text{y} = -\text{x}^3 - \text{ax} + 3[/tex] is the exact same as the end behavior of [tex]\text{y} = -\text{x}^3[/tex]
As x gets really big in the positive direction, we'll have [tex]-\text{x}^3[/tex] get really small in the negative direction. For instance, x = 10 leads to [tex]-\text{x}^3 = -10^3 = -1000[/tex] and x = 100 leads to [tex]-\text{x}^3 = -100^3 = -1,000,000[/tex]
Therefore, as [tex]\text{x} \to \infty[/tex] then [tex]\text{y} \to -\infty[/tex]
Visually the graph goes forever downward when we move to the right. We can consider this as "falls to the right".
--------------------------------
The graph "rises to the left" because as [tex]\text{x} \to -\infty[/tex] then [tex]\text{y} \to \infty[/tex]
Here's a small table to give numeric examples:
[tex]\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}-1 & 1\\\cline{1-2}-10 & 1000\\\cline{1-2}-100 & 1,000,000\\\cline{1-2}\end{array}[/tex]
As x gets more negative, y becomes more positive. We have this opposite nature going on similar to the previous section.
This graph goes uphill when moving to the left.
Check out the graph below. In the diagram I used a = 2, but you could use any value of 'a' you want to get the same end behavior.
A city has a population of 1300. If the city’s population grows 30%, what is its new population?
Answers
Answer:
1699
Step-by-step explanation:
30/100*13000
Then add answer with 1300
eg 1300+399
I hope this explanation helps you.Also You can follow me.
Mrs. Juergen's class is building a model city from craft sticks. each house requires 267 sticks. the class will build 93 houses. About how many sticks will be needed?
