The function of the graph shown is option A. g(x) = -(x-6) ^2.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
We have been given a graph of a function, we need to find the function g(x).
So, we can see that the graph is intersecting the x-axis at ( 6, 0), then the function which satisfies the coordinate will be the function of g(x).
A. g(x) = -(x-6) ^2
put x = 6
g(x) = -(6-6) ^2
g(x) = - (0)
LHS = RHS
Thus, The function of the graph shown is option A. g(x) = -(x-6) ^2.
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7) An amusement Park Charges a $50
admission free and $10 for each ride.
which equation can be used to determine
C, the total cost of a day at the amusement
Park, based on n, the humber of rides.?
Answer:
50+((10n) =
so 50 is how much it cost to walk in the park and 10 is how much each ride (n) cost soif you know how many rides your ride you times that by 10 the add 10 to 50 and you get how much it will cost you for the day
1 - sin + cos/sin + cos - 1 = 1 + cos/sin
Step-by-step explanation:
it is answer of this question.
compare a 2px orbital and a 4pz orbital. both orbitals have the same basic shape, but they differ in orientation and number of nodes. both orbitals have the same basic shape and orientation, but the 2px orbital is smaller. both orbitals have the same basic shape and size, but the 2px orbital has fewer nodes. the orbitals differ in basic shape, size, orientation, and number of nodes.
The orbitals differ in basic shape, size, orientation, and number of nodes.
What is orbitals ?
in Physics and Chemistry is a mathematical function depicting the wave nature of an electron or a pair of electrons present in an atom. The probability of finding an electron around the nucleus can be calculated using this function. 95% of the time (or any arbitrary, high percentage), the electron is found within a fairly easily defined region of space quite close to the nucleus. Such a region of space is called an orbital, and it can be thought of as the region of space the electron inhabits.
Have given,
2px orbital and 4pz orbital
When we compared the two orbitals which are given in question
Then , The orbitals differ in basic shape, size, orientation, and number of nodes.
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In tilton school there are 380 students in key stage 3 240 students in key stage 4 110 students in key stage 5 phoebe is carrying out a survey. she needs a sample of 100 students
Answer:
52
Step-by-step explanation:
Total Number of students :
Stage 3 : 380
Stage 4 : 240
Stage 5 : 110
Total = (380 + 240 + 110) = 730
Number of samples required = 100
Number of key stage 3 students required :
(Key stage 3 / total) * number of samples
(380 / 730) * 100
= 0.5205479 * 100
= 52.0547
= 52
Find GM. A 10 B. 11 C. 12 D. 13 L 156 G 108 M H9 N
Answer:
b.11
Step-by-step explanation:
b is the answer
how much fertilizer is needed for a 200 square foot garden
The amount of fertilizer needed for a 200 square foot garden is obtained with the numeric value of the function at x = 200.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
For this problem, the variables are given as follows:
Variable y: Total amount of fertilizer -> output.Variable x: area of the garden -> input.Missing InformationThe problem is incomplete, hence the general procedure was presented.
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Given f(x) = -x + 1, solve for x when f(x) = 0.
Answer:
1
Step-by-step explanation:
0=-x+1
-x=-1
x=1
Is x = 3 a solution to the equation below? (substitute and check if they equal each other)
2(2x+1)+x=8x+2-3x
need step by step explanation
Answer:
yes
Step-by-step explanation:
2(2(3)+1) + 3= 8(3)+2-3(3)
14+3=24+2-9
17=17
The average daily temperature, t, in degrees fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation graphed below, where m = 0 represents january 1, m = 1 represents february 1, m = 2 represents march 1, and so on. if the equation is t = a cosine (startfraction pi over 6 endfraction (m 1)) k, what are the values of a and k?
The equivalent expression for the function is given as \(t=-35sin(\frac{\pi}{6}m +55)\\\)
Sine and cosine functionsGiven the average daily temperature of a city expressed acccording to the cosine function
\(t=35cos(\frac{\pi}{6} (m+3))+55\)
In order to rewrite as a function of sine, first expand the parenthesis to have:
\(t=35cos(\frac{\pi}{6}m +3(\frac{\pi}{6} ))+55\\t=35cos(\frac{\pi}{6}m +\frac{\pi}{2} )+55\\\)
Recall from trigonometry identity that:
cos(x+90⁰)=-sin(x)
The equivalent expression for the function is given as:
\(t=-35sin(\frac{\pi}{6}m +55)\\\)
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Answer:
A
Step-by-step explanation:
t--35 sin(m) + +55
ASAP! PLS HELP!! I need help with this one look at the image
Answer:
the option C
Step-by-step explanation:
have a great day
Someone please help me with this question
Answer:
how many floors the elevator goes down per unit of time
Step-by-step explanation:
not sure what the unit of time is but its seconds or minutes im pretty sure it doesnt say
Answer:
The elevator started at floor 7
Step-by-step explanation:
The y-intercept is when x is 0
In this situation x represents time, so when no time has passes yet y is at 7
This means that the elevator was at floor before any time passed (before it started moving)
hope this helps, lmk if it doesnt :)
consider the statistical experiment of randomly choosing one of the great lakes from a map. what is the sample space of this statistical experiment?
The sample space of the statistical experiment of randomly choosing one of the great lakes from a map is the set of all possible outcomes, which are the five great lakes: Superior, Huron, Erie, Ontario, and Michigan.
A random experiment's sample space S is defined as the set of all potential experiment results. The outcomes of a random experiment, also known as sample points, are mutually exclusive (i.e., they cannot occur simultaneously).
A random experiment's sample space is the collection of all conceivable results. A random experiment's related event is a subset of the sample space. Any outcome's probability is a number between 0 and 1. All of the outcomes have a probability of one.
The sign "S" is used to indicate the sample space. An experiment's events are the subset of conceivable outcomes. Depending on the experiment, a sample area may contain a variety of outcomes.
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To maintain a healthy weight a dog requires 30 calories of food per pound of body weight. if a certain dog weighs 38.45 ibs how many calories would they require
Step-by-step explanation:
30 cal for 1 lb
x cal for 38.45 lbs
x = 38.45lbs × 30 cals
x = 1153.5 cals
Patrick is excited to attend his son’s soccer game tomorrow
evening, but he also needs to ensure his daughter arrives at her
coding class on time. Patrick is debating whether taking the train
or his
Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.
On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.
If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.
Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.
Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.
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Boris wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 27 feet and its width is 26 feet. Suppose each pack of seed covers 16 square feet. How many packs of seed will he need to cover the backyard?
Answer:
43 packs of seeds
Step-by-step explanation:
you first start by multiplying the length and the width of his garden to find the total area of it
26 x 27 = 702
then, you divide 702 by 16 to figure out the amount of packs of seeds he will need
702/16 = 43.875
since he doesn’t have an extra .875 of garden to plant seeds in, you will not need to round up, and Boris will only havw to purchase 43 packs of seeds
Please help me with this!
Give an approximation of the height of the tree.
The tree is approximately____ feet tall.
24 ÷ 8 = 3
3 × 3 = 9 ft
that's all
find the interest rate if £9400 has a final value of £11907 in 3 years. Give your answer to 1 d.p.
The interest rate would be = 8.9%
What is interest rate?An interest rate is defined as the percentage of money that should be received by an individual for a particular period of time following an investment made.
The principal amount (p) = £9400
The simple interest = £11,907 - 9400 = 2507
The time given(T) = 3 years
The rate (R)= x%
The rate can be calculated from the formula of simple interest = P×T×R/100
make R the subject of formula;
R = 100×SI/P×T
R = 100× 2507/9400×3
R = 250700/28200
R = 8.89%
R= 8.9%
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i have no idea about how to do it.
The blanks are filled as follows
Step one
Equation 2x + y = 18 Isolate y,
y = 18 - 2x
How to complete the stepsStep Two:
Equation 8x - y = 22, Plug in for y
8x - (18 - 2x) = 22
Step Three: Solve for x by isolating it
8x - (18 - 2x) = 22
8x - 18 + 2x = 22
8x + 2x = 22 + 18
10x = 40
x = 4
Step Four: Plug what x equals into your answer for step one and solve
y = 18 - 2x
y = 18 - 2(4)
y = 18 - 8
y = 10
So the solution to the system of equations is x = 40 and y = 10
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Miguel and Beth like to play video games together. Miguel has m video games, and Beth has b video games. Miguel has
4 more video games than Beth, and together they have a total of 24 video games. Which system of equations can be
used to find how many video games belong to each friend?
Answer:
Miguel has video games = 14
Beth has video games = 10
Step-by-step explanation:
Miguel has video games = m
Beth has video games = b
We make the equations:
m=b+4 (Miguel has 4 more video games than Beth)
m+b=24 (together they have a total of 24 video games)
So, the system of equations is:
\(m=b+4\\m+b=24\)
Now, solving these system of equations to find values of m and b
Let:
\(m=b+4--eq(1)\\m+b=24--eq(2)\)
Put value of m from equation 1 into equation 2
\(m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=\frac{20}{2}\\b=10\)
We get value of b: b=10
Now, finding value of m by putting value of b in equation 1
\(m=b+4\\m=10+4\\m=14\)
So, We get value of m: m= 14
Therefore:
Miguel has video games = m = 14
Beth has video games = b = 10
Answer:
m+b=24
m=b+4
Step-by-step explanation:
on edg
The measures of the larger angles are __°, and the measures of the smaller angles are __°
The measures of the larger angles are 130°, and the measures of the smaller angles are 50°
How to find the measures of angles?Vertically opposite angles are angles that shares the same vertex point . Vertically opposite angles are congruent.
Therefore, the angles 3y + 11 and 4x - 22 are vertical angles and 10y and 7x + 4 are vertical angles.
Hence,
10y = 7x + 4
10y - 7x = 4
3y + 11 = 4x - 22
3y - 4x = - 33
Combine the equation
10y - 7x = 4
3y - 4x = - 33
multiply equation(ii) by 1.75
10y - 7x = 4
5.25y - 7x = - 57.75
subtract the equation
4.75y = 61.75
y = 61.75 / 4.75
y = 13
Therefore, let's find x
10(13) = 7x + 4
130 - 4 = 7x
7x = 126
x = 126 / 7
x = 18
Hence,
10y = 10(13) = 130 degrees
(3(13) + 11) = 50 degrees
Therefore,
larger angle = 130°
smaller angle = 50°
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Part A:
To find (f + g)(x), we need to add the two functions together.
(f + g)(x) = f(x) + g(x)
= 3x + 10 + x + 5 (substitute the given functions)
= 4x + 15 (combine like terms)
Therefore, (f + g)(x) = 4x + 15.
Part B:
To evaluate (f + g)(6), we substitute x = 6 in the (f + g)(x) function.
(f + g)(6) = 4(6) + 15
= 24 + 15
= 39
Therefore, (f + g)(6) = 39.
Part C:
The value of (f + g)(6) represents the total number of animals adopted by both shelters in 6 months. The function (f + g)(x) gives us the combined adoption rate of the two shelters at any given time x. So, when x = 6, the combined adoption rate was 39 animals.
(f + g)(6) = 39 represents the total number of animals adopted by both shelters in 6 months, based on the combined adoption rates of the two shelters.
Part A:
To find (f + g)(x), we add the functions f(x) and g(x):
(f + g)(x) = f(x) + g(x)
= (3x + 10) + (x + 5) (substitute the given functions)
= 4x + 15 (combine like terms)
Therefore, (f + g)(x) = 4x + 15.
Part B:
To evaluate (f + g)(6), we substitute x = 6 into the (f + g)(x) function:
(f + g)(6) = 4(6) + 15
= 24 + 15
= 39
Therefore, (f + g)(6) = 39.
Part C:
The value of (f + g)(6) represents the combined number of animals adopted by both shelters after 6 months. The function (f + g)(x) gives us the total adoption rate of the two shelters at any given time x. When x = 6, the combined adoption rate was 39 animals.
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6) What is the measure of angle bpc?
Which is a possible benefit of having a good credit history?
Answer:
When you have a good credit score, you're more likely to meet lending approval guidelines and borrow money when you need it most, explains McClary. This can help if you're ever in a pinch and need to open a credit card. You're more likely to qualify for a 0% APR card like the Citi Simplicity® Card.
Two interacting populations of hares and foxes can be modeled by the recursive equations:h(t+1)=4h(t)-2f(t)f(h+1)=h(t)+f(t)For each of the initial populations given in parts (a) through (c), find closed formulas for h(t) and f(t).a. h(0)=f(0)=100b. h(0)=200, f(0)=100c. h(0)=600, f(0)=500
The closed formula of h(t) and f(t) for
h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,
h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)
h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)
The recursive equations for the given two interacting population of hares and foxes are
h(t+1)=4h(t)-2f(t)
f(h+1)=h(t)+f(t)
for the given initial population in parts from a to c we need to create a close formula for h(t) and f(t)
where h(0) = f(0) =100h(t) = 100(2t+1)
f(t) = 100(2t-1)
where h(0) = 200, f(0) =100h(t) = 200(2t+1)
f(t) = 100(2t-1)
where h(0) = 600, f(0) = 500h(t) = 300 + 200(2t+\((-1)^{t}\))
f(t) = 200 - 100\((-1)^{t}\)
The closed formula of h(t) and f(t) for
h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,
h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)
h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)
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If Cade shoots 318 free throw baskets in 4 hours, about how many can he shoot in 7 hours?
Answer:
556.5 baskets
Step-by-step explanation:
We can write a proportion to solve
318 baskets x baskets
----------------- = ----------------
4 hours 7 hours
Using cross products
318* 7 = 4 *x
2226 = 4x
Divide each side by 4
2226/4 = 4x/4
556.5 baskets
Answer:
556.5 baskets
Step-by-step explanation:
Write a proportion to solve
\(\frac{318}{4hours}\) = \(\frac{x}{7 hours}\)
Use the cross products
318 × 7 = 4 × \(x\)
2226 = 4x
Divide both sides by 4
\(\frac{2226}{4x}\) = \(\frac{4x}{4}\)
556.5 baskets is your answer!
a girl is about to enter puberty. how long will the total process take? group of answer choices about 5 years, for every child about 2 years, for every child about 9 years, for every child a variable length of time for different girls
The total duration of the puberty process can be different for each girl who is about to enter it, as the length of time for the different stages of puberty can vary from person to person. Hence, if a girl is about to enter puberty, the total process will take a variable length of time for different girls.
The total process of puberty for a girl can take a variable length of time, but typically it takes around 2 to 5 years to complete. The onset of puberty usually occurs between the ages of 8 and 13, with most girls starting around age 11.
The process of puberty includes physical changes such as breast development, the growth of pubic and underarm hair, and the onset of menstruation.
The duration of puberty can also depend on factors such as genetics, nutrition, and overall health. Some girls may experience a shorter or longer duration of puberty than others. However, in general, the process of puberty for a girl usually takes around 2 to 5 years to complete.
Therefore, the correct answer is "a variable length of time for different girls", but typically takes around 2 to 5 years to complete.
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14. A linear function is negative for x <-6 and has a y-intercept of 1. If you correctly sketch a graph of the function, at
what point will the graph intersect the x--axis?
a. (0,6)
b. (6,0)
c. (-6,0)
d. (0,-6)
Which expression represents the number 12.3 rewritten in a+bi form?
12.3+0i
1+12.3i
12.3+i
0+12.3i
Answer:
The correct option is;
12.3 + 0i
Step-by-step explanation:
The form a + b·i is the complex number form where the variables a and b are real numbers and i is the square root of -1, √(-1) that is i² = -1. As the answer to √(-1), cannot be found among the real numbers, i, is known as an imaginary number.
As such a given complex number of the form a + b·i, has a real, part or component, a, and an imaginary part, b.
The number 12.3, is a real number, therefore, representing the number in a complex number format, the imaginary part, b, would be zero, as follows;
12.3 + 0·i
The sum of 18 + 45 is a multiple of which sum?
Answer: multiple of sum 2+5
Step-by-step explanation:
18/9=2
45/9=5
2+5=7
18+45=63
63/7=9
2+5
A baker puts 4 cups of fruit into each pie he bakes. He pays $0.75 for 1 cup of fruit and $2.50 for the pie crust. He sells each pie for $10.25. After subtracting the cost of the fruit and pie crust, how much does he earn if he sells 10 pies?
PLEEEEES HELPMEEEEE
Step 1: Find the cost of 1 pie
1 pie = 4 cups of fruit + 1 pie crust
1 pie = 4(0.75) + 1(2.50)
1 pie = 3 + 2.50
1 pie = 5.50
Step 2: Find the amount of money a baker makes by selling 1 pie
1 pie cost = 5.50
1 pie revenue = 10.25
1 pie profit = 4.75
Step 3: Find the amount of money a baker makes by selling 10 pies
1 pie profit = 4.75
10 pies profit = 47.5
Answer: $47.50
Hope this helps!