Answer:
\(\frac{-4}{-3} * 0 < 2-\frac{1}{-2} < 4- (-1)\)
Step-by-step explanation:
Please help with this
1) (a) The transformations that occur from the parent function are horizontal translation of 2 units to the left and vertical translation of 4 units to the down.
(b) (-2, -4)
(c) Graph is given below.
1) Given a function,
g(x) = (x + 2)² - 4
(a) Given a parent function p(x) = x².
We can write g(x) as,
g(x) = p(x + 2) - 4
So the transformation is horizontal translation of 2 units to the left and vertical translation of 4 units to the down.
(b) Vertex formula of a parabola is,
y = a (x - h)² + k, where (h, k) is the vertex.
Comparing the given function with vertex form,
Vertex of the parabola = (-2, -4)
(c) Graph of g(x) will be a parabola with vertex at (-2, -4).
It is given below.
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REALLY URGENT!!!
Spaceship Earth is a major tourist at Epcot. It is a sphere whose volume is
approximately 65, 417 m³. What is the approximate circumference of Spaceship
Earth? Use π = 3. 14. Round to the nearest whole number. Thank you in advance!
The approximate circumference of spaceship Earth is 160m
How to determine the valuesThe formula for calculating the volume of a sphere is given as;
V = 4/3 πr³
Given that;
V is the volume.r is the radius.Now, substitute the values
65417 = 1. 3 ×3.14r³
Multiply the values
65417 = 4. 082r³
Make r the subject
r³ = 16025. 722
Find the cube root
r = 25. 2m
The circumference is expressed as;
Circumference = 2πr
Substitute the values, we have;
Circumference = 2× 3.14 × 25.2
Circumference = 160 m
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The recipe for fried potato fritters requires a mixture of mashed potatoes and chicken meat in the ratio 9 : 2. One kilogram of mixture yields 24 pieces of fritters. Calculate the mass of chicken meat needed for 198 pieces of fritters.
The recipe for fried potato fritters requires a mixture of mashed potatoes and chicken meat in the ratio 9 : 2. One kilogram of mixture yields 24 pieces of fritters. To make 198 pieces of potato fritters, you would need approximately 8.25 kilograms of chicken meat.
Given that one kilogram of the mixture yields 24 pieces of fritters, we need to find the ratio of mixture to fritters to determine the amount of mixture needed for 198 fritters.
The ratio of mixture to fritters is 1 kilogram : 24 pieces.
To find the amount of mixture needed for 198 pieces of fritters, we can set up a proportion:
1 kilogram / 24 pieces = X kilograms / 198 pieces.
Cross-multiplying, we get: 1 kilogram * 198 pieces = 24 pieces * X kilograms.
Simplifying the equation, we have: 198 = 24X.
Solving for X, we divide both sides of the equation by 24: X = 198 / 24 = 8.25 kilograms.
Since the ratio of mashed potatoes to chicken meat is 9 : 2, we can calculate the amount of chicken meat needed for 8.25 kilograms of the mixture.
The total ratio is 9 + 2 = 11 parts.
To find the amount of chicken meat, we divide 2 parts by 11 and multiply by 8.25 kilograms:
(2/11) * 8.25 kilograms = 1.5 kilograms (approximately).
Therefore, to make 198 pieces of potato fritters, you would need approximately 8.25 kilograms of chicken meat.
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HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
a) Class D - lowest variability/range
b) Class C - highest average/mean
Hope this helps!
suppose a social scientist is interested in studying what makes audiences love or hate a movie. she collects a random sample of movies (genre, length, cast, director, budget, etc.) as well as a measure of the success of the movie (score on a film review aggregator website). if as part of her research she is interested in finding out which variables are significant predictors of movie success, what type of model selection method should she use?
The type of model selection method that the scientist should use is a stepwise regression.
What is the stepwise regression?In statistics, stepwise regression is a method of fitting regression models in which the selection of predictive variables is done automatically. Each step considers a variable for addition to or subtraction from the set of explanatory variables based on some predetermined criterion.
To determine which predictors are significant in the model to predict movie success, we should use the step-wise regression method which is a model selection method.
Stepwise regression is a method for testing the statistical significance of each independent variable in a linear regression model iteratively. The forward selection method begins with nothing and gradually adds each new variable, testing for statistical significance along the way.
The underlying goal of stepwise regression is to identify a set of independent variables that significantly influence the dependent variable through a series of tests (e.g., F-tests, t-tests). Stepwise regression has the following advantages: The ability to manage a large number of potential predictor variables while fine-tuning the model to select the best predictor variables from among the available options. It is faster than other methods of automatic model selection.
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Find the quotient.
6.4 divided by 0.44
Answer:
160/11 or 14 and 6/11
Step-by-step explanation:
6.4/0.44=6 4/10 divided by 100/44
64/10÷100/44=64/1÷10/44
11/1*10/11=160/11
In January 2013 , a country's first -class mail rates increased to 48 cents for the first ounce, and 22 cents for each additional ounce. If Sabrina spent $18.42 for a total of 53 stamps of these two denominations, how many stamps of each denomination did she buy?
Sabrina bought 26 first-class mail stamps and 27 additional ounce stamps.
Let the number of stamps that Sabrina bought at the first-class mail rate of $0.48 be x. So the number of stamps that Sabrina bought at the additional ounce rate of $0.22 would be 53 - x.
Now let's create an equation that reflects Sabrina's total expenditure of $18.42.0.48x + 0.22(53 - x) = 18.42
Multiplying the second term gives:
0.48x + 11.66 - 0.22x = 18.42
Subtracting 11.66 from both sides:
0.26x = 6.76
Now, let's solve for x by dividing both sides by 0.26:
x = 26
So, Sabrina bought 26 stamps at the first-class mail rate of $0.48. She then bought 53 - 26 = 27 stamps at the additional ounce rate of $0.22. Sabrina bought 26 first-class mail stamps and 27 additional ounce stamps.
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the california state university (csu) system consists of 23 campuses, from san diego state in the south to humboldt state near the oregon border. a csu administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. describe and discuss several different sampling methods that might be employed. would this be an enumerative or an analytic study? explain your reasoning
There are several different sampling methods that could be employed for this study, including:
Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.
Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.
Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.
Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.
This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.
It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.
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One-Step Equations pls help 30 points if you solve them
Answer:
No1.
let x represent number of ice cream cones
80=12+4x
80-12=4x
68=4x
x=68/4
x=17
Check:
12+4(17)
=12 +68=80
3. 5x+14=9
collect like terms
5x=9-14
5x=-5
x=-5/5
x= -1
check:
5(-1)+14= -5+14 =9
I knew how to do this but I forgot
Answer:
The answer would be C.
Step-by-step explanation:
C. 2 3/4
If a family has five girls and plans to have another child, answer the following if the probability of the event of a boy being born is \( \frac{1}{2} \), and births are independent events. a. What is
In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.
The previous births do not affect the probability of the next birth since each birth is an independent event.
The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.
Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.
In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.
Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.
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Which expression is equivalent to the one given? 3 ( 2 n − 4 ) + 6 n
Answer:
7n-12
Step-by-step explanation:
Answer:
Step-by-step explanation:
12 n - 12
Which is the graph of the system x + 3y >-3 and y < 1x+1?
1+
2.
41Y
474
417
417
2
2
2
2
-
x
x
MA
UM
5
1
4
2
-2
2
NA
NI
4
2
Is
AT
Tv
1
-2 -4
-2 -4
Answer:
The dark red area includes all possible answers.
Step-by-step explanation:
See attachment
The graph of the system of inequalities can be seen at the end of the answer.
How to graph a system of inequalities?Here we have the system:
x + 3y > -3
y < x + 1
First, we should write both in linear form, the second one is already on that form, so we need to transform the first one.
x + 3y > -3
3y > -x - 3
y > (1/3)*-x - 3/3
y > -x/3 - 1
Now we can write our system as:
y > -x/3 - 1
y < x + 1
To graph it, we first need to graph both of the lines, and because the symbols > and < are used, the points on the lines are not solutions, so we will use dashed lines.
For y > -x/3 - 1, we shade above the line, because y is larger than the line.For y < x + 1, we shade below the line, because y is smaller than the line.Then the graph will be the one that you can see below.
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Mr. Walker is looking at the fundraiser totals for the last five years. How does the mean of the totals compare to the median? the median is $1. 60 greater than the mean. The mean is $1. 60 greater than the median. The median is $2. 82 greater than the mean. The mean is $2. 82 greater than the median.
The mean is $1.60 greater than median So, Option B is correct
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this.
The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.
According to the question,
Five year data is given:
For calculating mean,
Total number of year = 5
Sum of all year = 896 + 925 + 880 + 963 + 914
=> 4573
Mean = sum / total number
=> mean = 4578/5
=> 915.6
For calculating Median,
Arrange all the data in a ascending order
880 , 896 , 914 , 925 , 963
The middle value is 914
Therefore , median = 914
Difference of mean and median = 915.6 - 914
=> 1.6
Hence , Mean is $1.60 greater than median
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marco spent a total of $68 on one skateboarding helmets and six replacement wheels. if the helmet cost $32,how much did each spare wheel cost?
Answer:
6
Step-by-step explanation:
total spent is equal to 68 and helmet costs 32 so 6 replacement wheels cost
68-32= 36
to find cost of each replacement wheels were devide cost of 6 wheels by 6
36/6= 6
Answer:
$6
Step-by-step explanation:
total cost is $68bought one helmet costing $32bought six wheels, costing 6x where x is the cost of each wheel.6x + 32 → 68
6x → 68 - 32
6x → 36
x → 6
So each spare wheel cost is $6.
World
. Mr. and Mrs. Dorsey and their three children
are flying to Springfield. The cost of each ticket
is $179. Estimate how much the tickets will cost.
Then find the exact cost of the tickets.
Answer:it's
Step-by-step explanation:
Blake delivers food for Uber eats. He charges customers a $3 delivery fee plus $0.25 per mile. Write a function that can be used to find t, the total Blake would charge if he delivered food that is m miles away
The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.
From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.
Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:
= 3 + (0.25 × m)
= 3 + 0.25m
In conclusion, the function is 3 + 0.25m.
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Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute? Answer-0.09 miles per minute
Answer:
-0.09 miles per minute
Step-by-step explanation:
when simplified, what is the value of $\sqrt{3} \times 3^{\frac{1}{2}} 12 \div 3 \times 2 - 4^{\frac{3}{2}}$?
When simplified, the value of the expression \($\sqrt{3} \times 3^{\frac{1}{2}} 12 \div 3 \times 2 - 4^{\frac{3}{2}}$\) is 64.
Given expression is \($\sqrt{3} \times 3^{\frac{1}{2}} 12 \div 3 \times 2 - 4^{\frac{3}{2}}$\)
Simplify the exponents:
\($\sqrt{3} \times \sqrt{3} \times 12 \div 3 \times 2 - (4^{\frac{1}{2}})^3$\)
Simplify the square roots:
\($3 \times 3 \times 12 \div 3 \times 2 - 2^3$\)
Multiply and divide from left to right:
\($9 \times 12 \div 3 \times 2 - 8$\)
Perform multiplication and division:
\($108 \div 3 \times 2 - 8$\)
Evaluate the division:
\($36 \times 2 - 8$\)
72 - 8
64
Therefore, when simplified, the value of the expression is 64.
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3 feet
12 feet
The ramp will be approximately
feet long
Answer:
36 feet long
Step-by-step explanation:
3 feet x 12 feet is 36 so it will be 36 feet long!
please mark brainliest and have a nice day :)
ali needs to solve the equation x^2 + 6x + 22 = 0 by completing the square. which pair of steps is the most efficient way to begin?
a. x^2 + 6x + 9 = -22 + 9
b. x^2 + 6x + 36 = -22 + 36
c. x^2 + 6x + 3 = -22 + 3
d. x^2 + 6x + 81 = -22 + 81
Answer:
a. x² + 6x + 9 = -22 + 9
Step-by-step explanation:
they moved the 22 to the right by subtracting it. this leaves a binomial on the left side, which if what you want to solve it.
then they completed the square by dividing b (6) by 2 = 3. then squaring 3 to get 9.
if you added 9 to the left, then you have to add 9 to the right, therefore resulting in -22 + 9.
Answer:
In TTM/Imagine Math it is top left or a.
Step-by-step explanation:
Use 3.14 for pi. ROUND FINAL ANSWER TO TENTHS!
2461,8
hope this helps!! just use the formulas and substitute
2a) Determine the unknown angle x.
The unknown angle x in the triangle is 80 degrees
How to determine the unknown angle x.From the question, we have the following parameters that can be used in our computation:
The triangle
The unknown angle x is calculated using the sum of angles in a triangle theorem
So, we have
x + 60 + 40 = 180
Evaluate the like terms
x + 100 = 180
So, we have
x = 80
Hence, the unknown angle x is 80 degrees
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What is the three digit addition and subtraction with regrouping?
Three-digit addition and subtraction with regrouping involves adding or subtracting numbers with three digits (numbers between 100 and 999) while carrying or borrowing values from one place value to another.
What is addition?Addition is a basic arithmetic operation that involves combining two or more numbers or quantities to find the total amount or sum. It is often denoted by the symbol "+". For example, if we add 2 and 3, we get a sum of 5.
For example, let's say we want to add 357 and 468:
In this example, we first add the ones place (7 + 8 = 15), which gives us a sum of 5 and carry-over of 1. We then add the tens place (5 + 6 = 11) and add the carry-over from the ones place, which gives us a sum of 2 and carry-over of 1. Finally, we add the hundreds place (3 + 4 = 7) and add the carry-over from the tens place, which gives us a final sum of 825.
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I'm trying to calculate what velocity a wave traveled at.
The equation I'm given is V=√gd
V= Velocity in meters/second (m/s)
G= Acceleration of gravity (9.8 meters/seconds^2)
D= Water depth in meters (m)
The depth of the water is 1 cm (.01 meters) & it reached the end of the tank at an average of 1.38375 seconds.
The water tank is 6.004 meters in length (if that helps)
I need to calculate the velocity that the wave traveled from one end of the tank to the opposite, but I'm messing up somewhere in the equation.
Could someone please solve this & walk me through how you input each variable & get the correct velocity? Thank you <3
The velοcity οf the wave is 4.34083 m/s (rοunded tο five decimal places).
What is the velοcity?Velοcity is a vectοr quantity that is a measure οf the rate οf change οf displacement οf an οbject.
Tο calculate the velοcity οf the wave, we need tο rearrange the equatiοn V = √gd tο sοlve fοr V:
V = √(g x d)
where g is the acceleratiοn due tο gravity (9.8 m/s²) and d is the depth οf the water in meters.
In this case, the depth οf the water is given as 1 cm, which is 0.01 meters. The tank length is 6.004 meters, and the wave tοοk an average οf 1.38375 secοnds tο travel that distance.
First, we need tο find the distance traveled by the wave. The distance is the length οf the tank, which is 6.004 meters.
Next, we can use the fοrmula distance = velοcity x time tο find the velοcity οf the wave:
velοcity = distance ÷ time
velοcity = 6.004 ÷ 1.38375
velοcity = 4.34083 m/s
Hence, the velοcity οf the wave is 4.34083 m/s (rοunded tο five decimal places).
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4) A bus company charges $2 per ticket but wants to raise the price. The daily revenue is modeled by R(x)=-30(x-6)² + 320, where x is the number of $0.15 price increases and R(x) is the revenue in dollars. What should the price of the tickets be for a maximum profit? Hint: don't forget what price where you started.
Answer:
$2.90
Step-by-step explanation:
6 × 0.15 = 0.9
2 + 0.9 = 2.9
R(x) = -30(x - 6)² + 320
This equation for the revenue is a quadratic equation model written in the form of completing the square;
This form appears like so:
f(x) = a(x + b)² + c
It is quite useful, especially for this type of question;
Firstly, if a is positive, the quadratic equation will be a u shaped graph when illustrated, if negative, it will be an n shaped graph;
What this means is if a is positive, the vertex of the graph is the lowest point, i.e. the minimum value of f(x), and if a is negative, the vertex will be the highest point, i.e. the maximum value of f(x);
Secondly, the coordinates of the vertex will be:
(-b, c)
So, with regards to the question:
We have -30 in the position of a, the curve is therefore n shaped and the vertex is the highest point (known as the local maximum);
And in place of b and c, we have -6 and 320, so the coordinates of this local maximum are:
(6, 320)
We interpret this like so:
320 is the highest possible value of R(x), which represents revenue, so $320 is the maximum revenue according to this model, and it is achieved when x = 6, i.e. when the price is increased by $0.90 (= 6 × $0.15);
Finally, to get the new ticket price, we add this to the original price to get $2.90.
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If you were to construct a triangle using the given information, classify what type of triangle it would create.
3 cm, 5 cm, 4 cm
90°, 45°, 18 in
A) Right Triangle
B) Isosceles Triangle
C) Equilateral Triangle
D) Obtuse Triangle
Answer:
righ angle tringle
Step-by-step explanation:
because 90 degree angle is only in right angle tringle,we can not creat this angle in other tringle
what value of x makes this inequality true?
x + 16 < 43
Answer:
x < 27
Step-by-step explanation:
x + 16 < 43
move the constant to the right-hand side and change its sign
x < 43 - 16
subtract the numbers
x < 27
~~~~~~~~~~~~~~~~~~
X < 27
alternative form
X ∈ ( - ∞ , 27 ) , { x | x < 27 }
Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-
Answer:
1) AD = 9 in
2) DE = 9.25 in
3) ∠EDC = 36°
4) ∠AEB = 108°
5) 11.5 in
Step-by-step explanation:
1) AD = BC = 9in
2) AC = BD (diagonals are equal)
⇒ BD = 14.25
⇒ BE + DE = 14.25
⇒ 5 + DE = 14.25
DE = 9.25
3) Since AB ║CD,
∠ABE = ∠EDC = 36°
4) ∠ABE = ∠BAE = 36°
Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)
⇒ 36 + 36 + ∠AEB = 180
∠AEB = 108
5) midsegment = (AB + CD)/2
= (8 + 15)/2
11.5
Together, teammates Pedro and Ricky got 2674 base hits last season. Pedro had 284 more hits than Ricky. How many hits did each player have?