Answer:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical.
Step-by-step explanation:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.
A parabola has focus (5,1) and directrix y=-3.
Where is the parabola’s vertex?
Answer:
vertex = (5, - 1 )
Step-by-step explanation:
The focus and directrix are equidistant from the vertex
Since the equation of directrix is y = - 3 then the parabola is vertical,
The distance between the focus and directrix is
| 1 - (- 3) | = | 4 | = 2
Thus the vertex is 2 units below the focus
vertex = (5, 1 - 2 ) = (5, - 1 )
A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).
What is a Parabola?A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.
As per the given information in the question,
The focus and directrix are equidistant from the vertex then,
The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:
|1 - (-3)| = |4| = 2
The vertex is therefore 2 units below the focus.
vertex = (5, 1 - 2) = (5, -1)
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The amount of medication in a patient's bloodstream decreases exponentially from the time the medication is administered. A patient is administered a 300 mg dose of medication that decreases by 25% in the bloodstream each hour. Which function models this situation?
A $30 sweater is on sale for 20% off at Kohls. The same $30 sweater is on sale at Macy's for $5 OFF the price. What is the difference in sale prices between the two stores
Which store has the sweater in the above question for the better price ?
Answer: You can save 15% or more on car insurance when you switch to Geico
Step-by-step explanation:
The difference in sale prices between the two stores is $4.5.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, a $30 sweater is on sale for 20% off at Kohls.
Here, sales price = 30-20% of 30
= 30-20/100 ×30
= 30- 0.2×30
= 30-6
= $24
The same $30 sweater is on sale at Macy's for $5 off the price.
Here, sales price = 30-5% of 30
= 30-5/100 ×30
= 30- 0.05×30
= 30-1.5
= $28.5
So, difference in price = 28.5-24
= $4.5
Therefore, the difference in sale prices between the two stores is $4.5.
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If it takes 4 jugs to water 15 plants, how many plants can you water with 12
jugs?
Answer:
31.2
Step-by-step explanation:
Divide 4/15= 2.66
12x2.6= 31.2
This might be wrong..
Number of Amusement Park Visits A 2-column table with 5 rows titled Number of Amusement Park Visits. Column 1 is labeled Visits with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 4, 7, 3, 4, 2. You asked amusement park visitors the question “How many amusement parks have you visited this summer?” The tally table shows the results. Which number line would be best to use to create a dot plot of the set of data? a number line from 0 to 4 a number line from 1 to 5 a number line from 2 to 7 a number line from 0 to 7
Answer:
B
Step-by-step explanation: let me know if this is wrong
Answer:
its b
Step-by-step explanation:
well the person above me is correct he should get brainlies
serious answers only<3 i really need to get this done before i get grounded and i used to be good at math but during quarantine all of my skill just went away
Answer:
-3 1/2
Step-by-step explanation:
-4.5 + 1 = -3.5
At a concert 3 out of 10 people who entered the Alamodome Nike shoes based on this information if there are 1200 people add the music concert how many people could be expected to be wearing Nike shoes?
Complete Question
At a concert 3 out of 10 people who entered the Alamodome wore Nike shoes based on this information if there are 1200 people at the music concert how many people could be expected to be wearing Nike shoes?
Answer:
360 people
Step-by-step explanation:
The fraction of people wearing Nike shoes = 3/10
The total number of the people at the concert = 1200 people
Therefore, the number of people cthat ould be expected to be wearing Nike shoes is calculated as:
3/10 × 1200 people
= 360 people
The answer is 360 people
Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .
Answer:
13 x 50 = 650
Step-by-step explanation:
Answer:
75 ft
Step-by-step explanation:
Given 300mL of a gas at 17.0 degrees Celsius, what is the volume at 10 degrees Celsius if the pressure remains constant?
Answer:
292.75mL
Step-by-step explanation:
From the ideal gas equation
PV= nRT
With each symbols having standard meaning
For pressure remaining constant the equation for two states can be written as
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
Given V_1 = 300mL, T_1 = 17° C = 290K and T_2 = 10°C or 283K
Now plugging values in above equation to find V_2
[tex]\frac{300}{290} =\frac{V_2}{283}\\V_2 =\frac{300}{290}\times283 = 292.75mL[/tex]
Therefore, the volume at 10 degrees Celsius = 292.75mL
Which statement describes the expression below? 1 + 6 ÷ 2 × 3 Multiply the quotient of 6 and 2 by 3, then add 1. Add 1 and 6, then divide by 2 and multiply by 3. Divide 6 by the product of 2 and 3, then add 1. Add 3 to half of 6 multiplied by 1.
Answer:
Add 1 and 6, then divide by 2 and multiply by 3.
Step-by-step explanation:
what is the volume of the triangular prism below
Answer:
246.2
Step-by-step explanation:
Hope this helps!
1, 3, 5, 7,...
Find the 50th term of the sequence.
Answer:
99
Step-by-step explanation:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99
Just go up 2 numbers 50 times
｡ﾟﾟ･｡･ﾟﾟ｡
ﾟ。Pain is temporary, swag is forever
ﾟ･｡･ <3
A grocery store clerk put only packages of flour tortillas and
packages of corn tortillas on a shelf. The ratio of the number of
packages of corn tortillas to the total number of packages on the
shelf was 6 to 18.
Which number could be the number of packages of flour tortillas the
clerk put on the shelf?
F.
10
G.
20
H.
24
J.
32
Answer:
10
Step-by-step explanation:
Rewrite without absolute value for the given conditions: y =|x −3|+|x +2|−|x −5|, if x >5
9514 1404 393
Answer:
y = x + 4
Step-by-step explanation:
For x > 5, the expressions in each absolute value argument are all positive, so we can simply remove the bars and sum the terms.
y = x - 3 + x + 2 - x + 5
y = x +4
Find the greatest common factor of 4c3 and 6m2.
Answer:
The GCF is 2
Step-by-step explanation:
Here, we want to find the greatest common factors of the two terms
We have the terms written in terms of the products of their multiples as follows;
4c^3 = 2 * 2 * c * c* c
6m^2 = 2 * 3 * m * m
As we can see, the greatest common factor of the two is simple the value 2
Solve for x
4/x = 2/7
Which steps are correct to solving this?
Answer:
it will mist likely be A hope this helps
9. What is the correct factorization of
x2 + 13x + 30?
Answer:
(x+3)(x+10)
Step-by-step explanation:
sorry I don't know how I should explain it....
it takes alex 22 minutes to walk from his home to the store. the function f(x)=2.5x models distance that alex has walked in x minutes after leaving his house to go to the store. what is the most appropriate domain of the function
a : 0 ≤ x ≤ 55
b : 0 ≤ x ≤ 22
c : 0 ≤ x ≤ 8.8
d : 0 ≤ x ≤ 2.5
Answer: D
Step-by-step explanation:
A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function
f(x) = 435 + 1200x, where x is measured in weeks.
What is the meaning of the coefficient 1200?
Answer:
maybe the amount of money by each student
Miranna teaches gymnastics lessons at summer
camp. She is paid $12.50 per hour.
If Miranna were offered a raise of 100% of her hourly
rate, how much would she be paid?
Rebecca is sharing a pizza with some friends. Below is an Image of how she cuts the pizza.
AE is a diameter of the 20 in pizza!
a) If rebecca wants the biggest piece which one would she choose ( name it by its arc)? Be careful the image may not be drawn to scale
b) Rebecca loves stuffed crust!! She decides to figure out the length of cheese in her piece of the crust ( hint find the arc length
Answer:
a) The piece of pizza she should choose is BE
b) The length of the cheese in her piece of the crust is approximately 20.07 inches
Step-by-step explanation:
The given diameter of the pizza, AE = 20 in.
The measure of the arc AB, [tex]m\widehat{AB}[/tex] = ∠ACB = 65°
The measure of the arc DE, [tex]m\widehat{DE}[/tex] = ∠DCE = 110°
Given that AE is the diameter of the circular pizza, we have;
[tex]m\widehat{BE}[/tex] = ∠BCE = 180° - ∠ACB = 180° - 65° = 115°
Similarly;
∠ACD = 180° - ∠DCE = 180° - 110° = 70°
a) The biggest piece of pizza is the piece with the largest angle which is the piece formed by arc BE, [tex]m\widehat{BE}[/tex] = 115°
The piece of pizza she should choose is the piece, BE
b) Arc length = (Arc angle)/360 × (Circumference of the circle)
The circumference of the circular pizza, C = π × Diameter = π × length [tex]\overline {AE}[/tex]
∴ C = π × 20 in.
The arc length of the arc BE = 115/360 × π × 20 = 115·π/18 ≈ 20.07
The length of the cheese in her piece of the crust, l = The arc length of the arc BE ≈ 20.07 inches.
what us 3×3+7×7 but I have to find the answer
Answer:
58
Step-by-step explanation:
3 * 3 is 9 + 7 * 7 is 49 so 9 + 49 equals 58
Answer:
58
Step-by-step explanation:
Following the Order of Operations, you'd put parenthesis around the two threes and the two sevens, making it (3*3)+(7*7) which equals 9 + 49 and results in the number 58.
whats the scale factor from shape a to shape b
Answer:
scale factor = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , B to A
scale factor = [tex]\frac{50}{30}[/tex] = [tex]\frac{5}{3}[/tex]
Then
[tex]\frac{x}{15}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
3x = 75 ( divide both sides by 3 )
x = 25
and
[tex]\frac{18}{y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
5y = 54 ( divide both sides by 5 )
y = 10.8
Gretel peeked around the bush and spied 345 leprachauns gathered in the glen. If this was 15 percent more than Petros spied under the tree, how many leprachauns did Petros spy?
A flower shop sells two types of Iris flowers: versicolor and virginica. Often, people who buy the flowers want to know about the
petal length. The summary statistics are shown in the table.
Flower Petal Length (in mm)
Versicolor Virginica
Min
45
30
Q1
51
40
44
Median
Q3
55.5
59
47
Max
69
56
If customers want to buy the flower that has the greatest variety of petal length, which Iris should they buy?
O A. versicolor, because the minimum is greater
OB. versicolor, because the maximum is greater
OC versicolor, because the difference between the minimum and Q1 is greater
O D. virginica, because the range is greater
O E virginica, because the difference between Q3 and the maximum is greater
Hi
Answer:Hey I go to ohva the answer is c
Step-by-step explanation:I took the test
The option (C) versi-colour, because the difference between the minimum and Q1 is greater, is the correct choice.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
A flower shop sells two types of Iris flowers: first flower and second flower.
The data is shown in the picture.
As we know, the median is the mid-value.
The min value for the first flower = 45
The min value for the second flower = 30
Q1 value for first flower = 51
Q1 value for second flower = 40
Difference between min and Q1 for first flower = 6
Difference between min and Q1 for second flower = 10
6 < 10
Thus, the option (C) versi-color, because the difference between the minimum and Q1 is greater, is the correct choice.
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Hey guys. So I'm doing a basic program for a battle game in Javascript, and I've having trouble on this one question. (subtraction)
If I have one number like 20, then 3 numbers such as 2, 4 and 7, I could easily find out which number in those 3 i subtracted by. For example if I had 18 as the answer, then I could do 20 - 18 and get 2 from the 3 numbers.
But how do I do that twice? or three or more after that one time? how would I know which one I picked after? (after the number is used once, it can still be used forever on, it's always random)
Answer:
can i show you how to do it
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
I think D
Step-by-step explanation:
I am not sure sorry
how to graph y=2x-4
