The answers to each part of the question are mentioned above.
What is parabola?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.The general equation of a parabola is given by -y = a(x – h)² + k or x = a(y – k)² +h.
where - (h, k) denotes the vertex.
Given is the equation of a parabola as -
(x - 1)² = y + 2
We can write the equation as -
y = (x - 1)² - 2
The coordinates of the vertex are : (h, k). So, we can write the coordinates of the vertex as V(1, - 2).The equation of a parabola is -[tex]$y=\frac{1}{4 \left(f - k\right)} \left(x - h\right)^{2} + k[/tex]
We can rewrite the equation of the parabola given as -[tex]$y=\frac{1}{4 \left(\frac{-7}{4} - (-2)\right)} \left(x - h\right)^{2} + k[/tex]
The coordinates of the focus are : (h, f). The coordinates of the focus will be - F(h, f) or F(1, -7/4)The distance from the focus to the vertex is the same as the distance from the vertex to the directrix so -- 2 - (- 7/4) = d - (- 2)
d = - 9/4
The equation of directrix will be :y = d
y = -9/4
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: x = 1
Therefore, the answers to each part of the question are mentioned above.
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Fatuma recently hired a roofer to do some necessary work. On the final bill, Fatuma was charged a total of $1449. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $63, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable and express any percents in decimal form in the equation.
The equation is
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.
Answer: The number of labor hours was
(A) The equation is:
$63[tex]x[/tex] = $1449 - $315
(B) The labor hours needed to complete the job was 18 hours.
STEPS TO FIND TIME OF THE COMPLETE JOBS(A) To find the number of labor hours needed to complete the job, we can set up an equation using the information given in the problem.
We know that the total bill was $1449, and $315 of that was for parts. So the remaining amount, $1449 - $315 = $1134, was for labor.We also know that the hourly rate for labor was $63. To find the number of hours needed for labor, we can divide the amount for labor by the hourly rate:$63[tex]x[/tex] = $1449 - $315
[tex]x[/tex] = ($1134 / $63)
Solving this equation gives us the number of hours needed for labor, which is 18 hours. We can check this by multiplying 18 hours by the hourly rate, which should give us the same amount for labor:[tex]x[/tex] = ($1134 / $63)
= 18 hours
Double check for:18 hours × $63 = $1134
This confirms that 18 hours is the correct number of labor hours needed to complete the job.
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Joanie bought a total of 56 presents to put in 7 gift bags.She put 3 pencils and an equal number of stickers in each bag.How many stickers did she put in each bag
Answer:
5 stickers were put in each bag.
Step-by-step explanation:
There is a total of 56 presents and 7 gift bags. If she puts three pencils in each bag, 7 times 3 is 21. 56 presents minus 21 pencils is 35 presents left. 35 divided by 7 is 5, so there are 5 stickers in each bag.
In which pair of numbers does the red number have a greater value?
Circle your answer.
365 or
3,456
i think the answer is 365 .
I need help finding the angles for 1, 3, and 6 also thank you!♡
Answer:
Step-by-step explanation:
angle 1 = 180- angle 3 (linear pair)
angle 3= angle 6 (alternate interior angles)
-2n = -1 1/4
................................
Answer:
n = 5/8
Step-by-step explanation:
-2n = -1 1/4
-1 1/4 = -5/4
So, our equation is
-2n = -5/4
Divided both sides by -2
n = 5/8
So, the answer is
n = 5/8
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
Answer: 5 or c
Step-by-step explanation:
y-intercept of y=-2x+4
Answer:
Y=4
Step-by-step explanation:
y intercept means x=0
Y=4
Please answer both! Thanks sm :)
Answer:
1. C= 2(pi)(d/2)
2. C= 2(pi)r
Step-by-step explanation:
The first answer is where you would have to find the radius of the circle if you know the diameter. And to find the radius, you would have to divide the diameter by 2 to get the radius. Welp.... I wish you luck! ;)
Kendra used 6 loaves of bread on an 8 day hiking trip. She wants to know how many loaves of bread she should pack for a 12 day hiking trip if she eats the same amount of bread each day.
Answer:
9 loaves of bread
Step-by-step explanation:
We know
8 days = 6 loaves of bread
1 day = 0.75 loaves of bread
12 days = 0.75 x 12 = 9 loaves of bread
So, she should pack 9 loaves of bread for a 12-day hiking trip.
Answer: Kendra will need to back 9 loaves of bread for a 12 day hiking trip.
Step-by-step explanation:
Alright, the first step to solve any math problem is to take a look at the information we have. We know that Kendra has eaten through 6 loaves over the course of 8 days. We want to know how much bread she needs if she takes a 12 day hiking trip.
Because she's eating the same amount of bread each day, we need to find out how much of a loaf she eats daily. In order to find that number, we have to divide. In this case, it would be 6/8. (Amount of bread she has/Time taken to eat that bread).
This gives us 0.75. This means that Kendra eats 0.75 of a loaf of bread daily. In order to find out how much bread she needs for a 12 day hiking trip, all we have to do is multiply by 12.
0.75 * 12 = 9.
Kendra will need to back 9 loaves of bread for a 12 day hiking trip.
P.S. You could also do this with fractions by simplifying 6/8 to 3/4 (divide the numerator and denominator by 2, as they're both divisible by 2), and then multiply like 12 in the same way. They both yield the same answer, so it's a matter of preference. I used decimals as I found them easier to work with!
ANYONE KNOWS THAT ANSWER FOR THIS PLEAS EHELP ME ASAP
Answer:
triangular prism
Step-by-step explanation:
Shape 1 attached is a triangular prism it has the same name and same net but is not identical as its slightly longer. The top side has 5 edges and its base has 4 edges
Has the same Faces: 5
Has the same Edges: 9
Has the same Vertices: 6
Shape 2 attached, is called a square based pyramid
It differs as its top side has 4 edges and its base has 4 edges where the base is the only common side and slope as the other one.
Faces: 5
Edges: 8
Vertices: 5
The new athletic
facility on the
downtown campus
measures 0.74 km
by 0.4 km. How
many square
meters is the
facility?
Answer:
0.296 square km or 296000 square meters
Step-by-step explanation:
first of all to find the area you multiply 0.74 and 0.4 to get 0.296 square kilometers then you multiply by 1 million to convert it to square meters
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Express the ratio of 300 miles to 25 gallons of gasoline as a unit rate. Simplify your answer. Show your work
Answer:
1 gallon to 12 miles
Step-by-step explanation:
Distance = 300 miles
Gasoline used = 25 gallons
Expressing as a unit rate :
Distance covered per gallon of gasoline :
Distance / gasoline used
300 / 25
12 miles
Hence, the unit rate is :
1 gallon of gasoline = 12 miles
1 gallon of gasoline will cover 12 miles in distance.
How do you solve systems by substitution step by step?
Answer:
1.Solve one of the equations for either variable.
2.Substitute the expression from Step 1 into the other equation.
3.Solve the resulting equation.
4.Substitute the solution in Step 3 into one of the original equations to find the other variable.
5.Write the solution as an ordered pair.
6.Check that the ordered pair is a solution to both original equations.
Step-by-step explanation:
Please help!! Will give brainiest!1 Im so confused
Answer:
i dont know
Step-by-step explanation:
I NEED HELP WITH THIS PLEASEEE
Answer:
The probability of it being greater than 6 is 3/4.
Step-by-step explanation:
there are 4 outcomes, and 6 is only one of them. 3 are greater than 6, so 4 out of the 4 times the number will be greater than 6.
what are the conditions for using the normal approximation for a sampling distribution of proportions g
The normal approximation for sampling distributions of proportions can be used when the sample size is large enough.
What prerequisites must be met for a sampling distribution of proportions g in order to use the normal approximation?The conditions for using the normal approximation for a sampling distribution of proportions are as follows: The sample size (n) must be sufficiently large (usually 30 or more). The sample proportion (p) should not be close to 0 or 1. The population distribution should be normally distributed.The general rule is that if the sample size (n) is greater than or equal to 30, then the normal approximation can be used. When using the normal approximation for a sampling distribution of proportions, the sample size must be greater than or equal to 30 and the population proportion (p) must be between 5% and 95%. Furthermore, the sample size must be large enough that the expected number of successes (np) and expected number of failures (nq) are both greater than or equal to 10. Finally, the sampling distribution should be approximately normal and the sample should be randomly selected from the population. The normal approximation is a useful tool for estimating confidence intervals and the probability of extreme values, as well as for hypothesis testing. It can be used to estimate the probability of success in a given sample of proportions, which can be helpful when making decisions about a population or understanding the behavior of a system.To learn more about distribution of proportions refer to:
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What is the additive identity for rational numbers?
Answer:
0Step-by-step explanation:
The rational number 0 is the additive identity for rational numbers.
As,
If we add any rational number to zero we get that number itself.
E.g.
[tex]0 + \frac{1}{2} = \frac{1}{2} [/tex]
and
[tex]0 + ( - \frac{5}{6} ) = ( - \frac{5}{6} )[/tex]
Answer:
questions:What is the additive identity for rational numbers?ans:0
solve 2+n=0(mod6)
solve2+(3+n)=1 (mod6)
Solving the modular arithmetic will result to
2 + n = 0 (mod 6): n = -22 + (3 + n) = 1 (mod 6): n = -4What is modular arithmetic?The term modular arithmetic is the arithmetic that works with whole numbers in a such that, following division by a modulus, all numbers are replaced by their remainders.
Solving the modular arithmetic: 2 + n = 0 (mod 6)
2 + n = 0 (mod 6)
n = -2
Solving the modular arithmetic: 2 + (3 + n) = 1 (mod 6):
2 + (3 + n) = 1 (mod 6)
5 + n = 1 (mod 6)
n = 1 - 5
n = -4
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I'll give brainliest PLZZZ!
Solve the following problem using the elimination method:
-3x + 7y = 12
x - 2y = -3
Answer:
(3, 3)
Step-by-step explanation:
do you need to show your work or just the answer?
-3x+7y=12 mulitply both sides by 3 of the bottom.
x-2y=-3
-3x+7y=12
3x-6y=-9 < which turns into this
Then you have to sum the equations (vertically) to eliminate one variable.
y=3
Then substitute the given value of "y" into the equation
x-2 * 3=-3 then solve the equation for x (x=3)
y=3 x=3 (3, 3)
*Check your answers.
-3*3+7*3=12
3-2*3=-3
12=12
-3=-3
(-3, -3)
Mr. Hasson has a coupon that says 25% off. He buys a pair of biking shorts that originally costs $34. He calculates 25% of 34 and determines he needs to pay $8.50 for the shorts
Explain
What is the error?
Why do you think he made that error?
What is the correct way to find the sale price?
y A storage trunk is 28 inches wide by 18 inches deep by 22 inches high. What is the volume of the trunk? TIME SENSITIVE
Answer: Answer
Step-by-step explanation: type 3f3FcEi in bitly
delete the space for it to work
1. What is the distance between the points (4, 5) and (-3, 5)?
Find the distance AB rounded to the nearest tenth Need help?
Which factor or factors listed below are external influences on a loan’s interest rate? I. the borrower’s credit history II. the length of the loan III. the federal funds rate a. I and II b. I and III c. II and III d. III only Please select the best answer from the choices provided A B C
Answer:C
Step-by-step explanation:
Answer:
D. III only
Step-by-step explanation:
What is the equation of a circle with endpoints of the diameter at (-8, -5) and (-4, 1) ??
Answer:(x + 6) + (y + 2)^2 = 13
Step-by-step explanation:
The centre of the circle is halfway along the diameter = (-6, -2)
r^2 = (-4 - -6)^2 + ( 1 - -2)^2 = 2^2 + 3^2 = 13
So circle equation is (x - -6)^2 + (y - -2)^2 = 13
Which of the following is not a strategy for finding P-values with the Student t distribution? Choose the correct answer below. O Use a TI-83/84 Plus calculator to find the P-value rounded to at least 4 decimal places. O Use the table in the book with the appropriate number of degrees of freedom to find a range of values containing the P-value. O Use software such as Minitab, Excel, or STATDISK to find the P-value rounded to at least 4 decimal places. O Use the table in the book to find the P-value rounded to at least 4 decimal places
Use the table in the book to find the P-value rounded to at least 4 decimal places.
It is not possible to find the exact P-value rounded to at least 4 decimal places by using tables, as the P-value is a continuous variable and tables only give a range of values containing the P-value.
The probability that you would have discovered a specific collection of observations if the null hypothesis were true is expressed as a number called the p value, which is determined from a statistical test.
In order to determine whether to reject the null hypothesis, P values are utilised in hypothesis testing. You are more inclined to reject the null hypothesis the smaller the p value.
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A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.
Answer:
where is the other dot plot
Answer:
B, D, and E
Step-by-step explanation:
What is the coefficient of XY in the expression *?
The numerical coefficient of xy in the given expression -7xy is -7.
The numerical coefficient of an expression is a number that is multiplied by a variable or a product of variables. The coefficient is the number that appears in front of a variable or a product of variables. In the case of a constant term, the coefficient is the constant itself.
For example, in the expression 3[tex]x^2[/tex] + 4x - 5, the numerical coefficient of [tex]x^2[/tex] is 3, the numerical coefficient of x is 4, and the numerical coefficient of the constant term -5 is -5.
Here, in the expression -7xy, the numerical coefficient of xy is -7.
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The complete question is -
What is the coefficient of XY in the expression - 7xyz?
when x equal 8 to the x^6-64x^4+x^2-7x-51
The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ x⁶ - 64x⁴ + x² - 7x - 51
If the value of the polynomial is zero at x = 8. Then (x - 8) will be the factor of the polynomial.
At x = 8, the value of the polynomial is given as,
⇒ (8)⁶ - 64(8)⁴ + (8)² - 7(8) - 51
⇒ 262,144 - 262,141 + 64 - 56 - 51
⇒ - 43
The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.
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Show that (2,1) is a solution of the system of equations.