4y cos(x) find local minimum maximum -g
What is a correct congruence statement for the triangles shown?
the blue arc is showing that the angle of P & B are congruent, the single blue line shows that PF is congruent to BL
so in order for the triangles to be congruent the letters of the 2nd triangle need to be in the same order as the first
so P = B, F = L, and X = G
So answer would be BLG
Suppose a parabola has vertex (-3,7) and pass throught the point (-2,11). write the equation of the parabola in vertex form.
Parabola is a plane curve with a U shape.
The parabola equation is given as:
y = a (x – h)² + k
The equation of a parabola that has a vertex (-3, 7) and passes through the point (-2, 11) is y = 11.
What is a parabola?Parabola is a plane curve with a U shape.
The parabola equation is given as:
y = a (x – h)² + k
(h, k) is the vertex.
We have,
Parabola:
Vertex = (-3, 7)
Passes through the point = (-2, 11)
The equation of the parabola is y = a (x - h)² + k
(-3, 7) = (h, k)
Since the parabola passes through the point (-2, 11) we get,
11 = a (-2 - (-3))² + 11
11 = a (-2 + 3)² + 11
11 = a x 1 + 11
11 = a + 11
Subtract 11 on both sides.
0 = a
a = 0
Now,
y = 0 (x + 3)² + 11
y = 0 + 11
y = 11
Thus,
The equation of a parabola that has a vertex (-3, 7) and passes through the point (-2, 11) is y = 11.
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If each of the numbers in the following data set were multiplied by 18 what would be the new median of the data set 14,20,18,58,71,36
Answer:
Step-by-step explanation:
arranging in ascending order
14,18,20,36,58,71
median=(20+36)/2=56/2=28
new median=28*18=504
Answer:
504
Step-by-step explanation:
Write -42/9 mixed in a reduced form
When shopping, Lucinda spent $48. If the amount she spent was 15% of her savings, how much savings did she have before she shopped? Explain how you got your answer.
In which of these cases is each stamp worth the most?
1. 7 of the same stamp worth a total of $3.15
2. 8 of the same stamp worth a total of $3.20
3. 10 of the same stamp worth a total of $4.10
4. 16 of the same stamp worth a total of $4.80
3.15 /7 = 0.45
3.20/8 = 0.40
4.10/10 = 0.41
4.80/16 = 0.3
Answer is 1. 7 stamps worth 3.15
Answer:
1. 7 stamps for $3.15 → $0.45/stamp
Step-by-step explanation:
Calculate the price per stamp for each scenario:
1)[tex]\frac{3.15}{7}=0.45[/tex]/stamp
2)[tex]\frac{3.20}{8}=0.40[/tex]/stamp
3)[tex]\frac{4.10}{10}=0.41[/tex]/stamp
4)[tex]\frac{4.80}{16}=0.3[/tex]/stamp
Therefore the first scenario of stamps will be the worth the most per stamp, as it has a higher cost than the rest.
Lashonda runs 3 miles in 25 minutes. at the same rate, how many miles would she run in 20 minutes?
This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two options advertised by Hertz: Toyota Camry, 33 mpg highway, costs $465.59 plus taxes and fees totaling $553.28. Toyota Prius Hybrid, 48 mpg highway, costs $634.49 plus taxes and fees totaling $804.61. In both cases, you must purchase gasoline, which costs approximately $3.80 per gallon in California.
If the intercepts of a line are (a,0) and (0,b), what is the slope of the line?
Show how you solved it.
Which function, g or h, is the inverse function for function ƒ? the function h because the graphs of ƒ and h are symmetrical about the y-axis the function g because the graphs of ƒ and g are symmetrical about the line y = x the function h because the graphs of ƒ and h are symmetrical about the line y = x the function g because the graphs of ƒ and g are symmetrical about the x-axis?
When graphed, a function and its inverse function become symmetrical across the line y = x.
What is a symmetrical function?A function that is symmetric is a function whose variables remain constant regardless of the ways in which the variables are permutated.
Hence When graphed, a function and its inverse function become symmetrical across the line y = x.
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How many seconds should a standard ecg strip be, to use for interpretation?
a. 1 minute
b. 12 seconds
c. 6 seconds
d. 30 seconds?
Can i deposit rolled coins at the drive through
HELP. SEE ATTACHED Suppose the integral from 2 to 6 of g of x, dx equals 12 and the integral from 5 to 6 of g of x, dx equals negative 3, find the value of the integral from 2 to 5 of 3 times g of x, dx .
The value of the asked integral is 45
What are integrals?An integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operation of calculus, the other being differentiation.
Given that, [tex]\int\limits^6_2 {g(x)} \, dx = 12[/tex] and [tex]\int\limits^6_5 {g(x)} \, dx = -3[/tex]
[tex]\int\limits^6_2 {g(x)} \, dx = 12[/tex] _ [tex]\int\limits^6_5 {g(x)} \, dx = -3[/tex] = [tex]\int\limits^5_2 {g(x)} \, dx[/tex]
Therefore,
[tex]\int\limits^5_2 {3g(x)} \, dx[/tex]
= [tex]3\int\limits^5_2 {g(x)} \, dx[/tex]
= 3[12-(-3)]
= 3(15) = 45
Hence, the value of the asked integral is 45
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There are (4^2)^3 ⋅ 4^0 horses on a stud farm. What is the total number of horses on the farm?
0
4^6
4^7
4^24
A rose garden is designed by joining a rectangle and a semicircle, as shown below. the rectangle is 31ft long and 19ft wide. if the gardener wants to build a fence around the garden, how many feet of fence are required? (use the value 3.14 for π , and do not round your answer. be sure to include the correct unit in your answer.)
The Sheng family had dinner at their favorite restaurant. A 4% sales tax was added to their bill. Amy paid the bill with a $25 gift certificate plus $44.80. How much did the family's dinner cost before tax? Round your answer to the nearest penny.$ 71.59$ 66.01$ 67.12$ 67.01
Find the value of x for which line a is parallel to line b.
What sum or difference is equivalent to the following expression 5-3x/5 A 1+3/5 B 1+3x/5 C 1-3x/5 D 25-15x
Answer:
Option C is the answer.
Step-by-step explanation:
The given expression is [tex]\frac{(5-3x)}{5}[/tex]
We solve it further to get the simplified form.
[tex]\frac{(5-3x)}{5}[/tex] = [tex]\frac{5}{5}-\frac{3x}{5}[/tex]
= [tex](1-\frac{3x}{5})[/tex] [Since [tex]\frac{a-b}{a}=\frac{a}{a}-\frac{b}{a}][/tex]
Therefore, option C matches the simplified form of the expression.
The sum of the percent frequencies for all classes will always equal:
What type of transformation is demonstrated in the following figure?
it is a translation.
What ten times 13 divided by 130, how you solve it
Which monomials are perfect squares? Check all that apply. 6x2 9x8 16x9 25x12 36x16
Answer: Options Third, Second , Fourth are correct.
Step-by-step explanation:
Since we have given that
[tex]6x^2\\\\9x^8\\\\16x^9\\\\25x^{12}\\\\36x^{16}[/tex]
Since we know that
9, 16, 25, 36 are perfect squares.
So, we get that
[tex]9x^8=(3x^4)^2\\\\25x^{12}=(5x^6)^2\\\\36x^{16}=(6x^8)^2[/tex]
Hence, Options Third, Second , Fourth are correct.
a fishing lake was stocked with 300 bass. Each year, the population decreases by 25. the population of bass in the lake after x years is represented by the function f(x)=300-25x
The function f(x)=300-25x represents the decline of population in a fishing lake that was initially stocked with 300 bass. Each year, the population reduces by 25. For instance, after 4 years, the number of bass left in the lake would be 200.
Explanation:The question is about a fishing lake that was initially stocked with 300 bass. As per the information given, the population of bass in the lake decreases by 25 each year. Therefore, if we let x represent the number of years, then every year, the number of bass decreases by 25x. This relationship is represented by the algebraic function f(x)=300-25x.
To provide a practical understanding, suppose you want to calculate the number of bass remaining after 4 years. You just substitute '4' in place of x in the equation. Hence, f(4) = 300 - 25 * 4 = 300 - 100 = 200. So, after 4 years, there would be 200 bass remaining in the lake.
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The admission fee at an amusement park is $2.00 for children and $5.60 for adults. On a certain day, 352 people entered the park, and the admission fees collected totaled 1280 dollars. How many children and how many adults were admitted?
Parallel slope of 8x+y=11
Answer:
The slope parallel to this line is -8.
Step-by-step explanation:
That's because parallel lines have the same slope. Therefore to find the slope of a parallel line, we must first find the slope of this one. On order to do that, we need to solve for y and then look at the coefficient of x.
8x + y = 11
y = -8x + 11
Therefore, we know the slope to be -8, which means the parallel slope must also be -8.
andy constructed a triangle angle 1 and 2 are the same but angle 3 has a measurement of 100 degrees what is the measurement of angle 1 and 2
In the graph shown, which ordered pair does NOT represent a solution to the graph?
A) (1, 7)
B) (0, 4)
C) (2, –2)
D) (3, –5)
The steps Kalee used to solve the equation –4x + 9 = 2x – 12x + 51 and the properties she used to justify each step are shown. Find and identify each error. Note: There are errors in both the mathematical work and the justifications.
Create your own equation and explain, using complete sentences, how you would solve it. Make sure you include the properties of operations and/or the properties of equality that justify each step in your explanation
find m<G p//r. the diagram is not to scale. I believe it to be 146 but I'm not sure.
The given information is not clear enough to determine the measure of angle G p//r.
Explanation:To find m<G p//r, we need to understand the given diagram. However, the provided information is not clear enough to determine the measure of angle G p//r. More information or a clear diagram is needed to find the angle accurately. Please provide additional details or a clear diagram for further assistance.
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help will mark brainliest Jim Shu has the following work shown on their paper. The directions read “Simplify each radical.” Unfortunately, they have not simplified correctly.
A. Find their mistake and explain what they did wrong.
Jim Shu made two mistakes in simplifying radicals: they missed the initial steps and included an irrelevant step of checking the answer's reasonability.
Explanation:The instructions provided to Jim Shu involve simplifying radicals, but there is an omission of the initial steps in the process.
The student proceeds with step 6 without detailing the necessary earlier steps in simplifying the algebraic expression.
This misstep results in an incomplete representation of the solution process.
Furthermore, step 7 introduces an unrelated directive, advising the student to check the answer for reasonability.
This step is incongruent with the task at hand, which is the simplification of radicals.
To address this error, Jim Shu should incorporate the essential preliminary steps for simplifying radicals, ensuring a comprehensive presentation.
Additionally, the extraneous step of checking reasonability should be omitted, aligning the solution process with the given directions.