Harper surveyed 380 of the students in her school about their favorite color. 323 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?

Answer:

y² + 10y + 6x + 58 = 0

Step-by-step explanation:

Focus of the parabola has been given as (-7, -5) and directrix as x = -4

Let a point on the parabola is (x, y).

By the definition of a parabola, "distance of a point on parabola is equidistant from focus and directrix".

Distance from focus of the given point = [tex]\sqrt{(x+7)^2+(y+5)^2}[/tex]

Distance of the point from directrix = [tex]\sqrt{(x+4)^2}[/tex]

Therefore, equation of the parabola will be,

[tex]\sqrt{(x+7)^2+(y+5)^2}=\sqrt{(x+4)^2}[/tex]

[tex](x+7)^2+(y+5)^2=(x+4)^2[/tex]

x² + 14x + 49 + y² + 10y + 25 = x² + 8x + 16

y² + 14x + 10y + 74 = 8x + 16

y² + 10y + 6x + 58 = 0

Answer:

(y+5)^2/6 - 11/2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The least possible value is when 20x^2 = 0. All other values give a larger value than 0. Thus, the minimum value for y = 24.

Answer:

24

Step-by-step explanation:

Answer:

To Get a new phone

Step-by-step explanation:

Answer:

acc = force /mass

30/40 = 0.75 m/s2

Answer:

The percentage change = 6.05%

Step-by-step explanation:

New value = £209.99

Old value = £198

Percentage change = [New Value - Old Value] / [Old Value] × 100

                                 = [209.99 - 198] / [198] × 100

                                 = [11.99] / [ 198] × 100

                                 = 0.06 × 100

                                 = 6.05%

Therefore, the percentage change = 6.05%

Answer:

C

Step-by-step explanation:

Given

s = [tex]\frac{t+7s}{5}[/tex] ← substitute s = - 2 into the equation

- 2 = [tex]\frac{t+7(-2)}{5}[/tex] ( multiply both sides by 5 to clear the fraction

- 10 = t - 14 ( add 14 to both sides )

4 = t → C

Answer:

=10

Step-by-step explanation:

5x-4x². (x=2)

5(2)-4(2)²

=10-0

=10

Answer:

let the email be written by him.

Answer:

£198

Step-by-step explanation:

Divide 1584 by 8 because each ticket costs £8 to get £198

Answer:

2.2 gigabytes

Step-by-step explanation:

Let us represent

x = the number of gigabytes of data Samuel can use while staying within his budget

Therefore, our equation is:

$41.50 + $5 × x = $52.50

41.50 + 5x = 52.50

Subtract 41.50 from both sides

41.50 - 41.50 + 5x = 52.50 - 41.50

5x = 11

x = 11/5

x = 2.2 gigabytes.

The number of gigabytes of data he need to keep his monthly cost at $52.50 is 2.2 gigabytes

Answer:

3.75, or [tex]\frac{15}{4}[/tex] inches of rain during the 15 days of April.

Step-by-step explanation:

All you have to do is add [tex]\frac{1}{4}[/tex] 15 times to get that number.

[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] = 3.75

You can also do 15 times [tex]\frac{1}{4}[/tex], which will result in the same thing.

#teamtrees #WAP (Water And Plant)

Answer:

m= 2/8

equation= y=1/2x+2

Step-by-step explanation:

give brainliest pls pls pls

Answer:

m=1/4

y=1/4x+2

Step-by-step explanation:

slope is rise over run.  it rises 1 and runs 4

the equation for a liner function is y=mx+b.  Since 1/4 is the slope, replace m with 1/4.  b is the y intercept, and from the graph, you know the y intercept is 2.

Answer:

12 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the altitude )

Here A = 84 and b = 14 , then

[tex]\frac{1}{2}[/tex] × 14 × h = 84

7h = 84 ( divide both sides by 7 )

h = 12

The altitude is 12 cm

Answer:

a. The length of the box = (40 - 2·x) cm

The height of the box = x cm

The width of the box = (25 - 2·x) cm

b. The formula for the volume of the box as a function of x is 4·x³ - 130·x² + 1000·x

c. The value of x that would maximize the volume of the box is x = 5 cm

d. The largest volume of the box is 2250 cm³

Step-by-step explanation:

a. The given parameters are;

The length of the cardboard = 40 cm

The width of the cardboard = 25 cm

The length of the box = (40 - 2·x) cm

The height of the box = x cm

The width of the box = (25 - 2·x) cm

b. The formula for the volume of the box = The area of the base of the box × Height of the box

The area of the base of the box =  (40 - 2·x) × (25 - 2·x) = 1000 - 80·x - 50·x + 4·x²

∴ The area of the base of the box = 4·x² - 130·x + 1000

The height of the box = x

The volume of the box = (4·x² - 130·x + 1000) × x = 4·x³ - 130·x² + 1000·x

The volume of the box in terms of x, V = 4·x³ - 130·x² + 1000·x

c. At the extremum point, dV/dx = 12·x² - 260·x + 1000 = 0

x = (260 ± √((-260)² - 4 × 12 × 1000))/(2 × 12)

x = (260 ± 140)/(24)

x = 5 or x = 16.[tex]\bar 6[/tex]

At x = 5, the volume of the box is V = 4×5³ - 130×5² + 1000×5 = 2250

The volume of the box is V = 2250 cm³

At x = 16.67, the volume is 4×16.67³ - 130×16.67² + 1000×16.67 = -925.[tex]\overline {925}[/tex]cm³

Therefore, the value of x that would maximize the volume of the box is x = 5 cm

d. The largest volume of the box is 4×(5 cm)³ - 130×(5 cm)² + 1000×(5 cm) = 2250 cm³.

Answer:

-3/4

Step-by-step explanation:

Answer:

x= -3/4

Step by Step explanation:

Step 1: Simplify both sides of the equation.

−8(4x+6)=−24

(−8)(4x)+(−8)(6)=−24     (Distribute)

−32x+−48=−24

−32x−48=−24

Step 2: Add 48 to both sides.

−32x−48+48=−24+48

−32x=24

Step 3: Divide both sides by -32.

-32x/-32 =24/-32

Answer:

x= -3/4

Answer:

D

Step-by-step explanation:

Answer:

The taxi ride was 14 miles long.

Step-by-step explanation:

So we know that he payed 29 $. Out of this 29$ 1$ was the pick up fee. So we know that 28$ were spend on distance that the taxi had to ride. We also know that Wyatt has to pay 2$ for each mile so in order to get the total number of miles the car drove we will have to divide the amount of money that was paid for the actually distance traveled by two. And so we get that our answer is........

28$ / 2$ = 14

Answer:

Number of elves= 80 elves

Step-by-step explanation:

If 9 elves can pack 27 toys per hour. This means that each elf packs 3 toys per hour:

Toys per elf= 27/9 = 3

Now, we need to determine the number fo elves needed to pack 240 toys per hour:

Number of elves= number of toys/toys per elf

Number of elves= 240/3

Number of elves= 80 elves

Answer:

The real solutions of f(x)=0 are: 0, 2, 5, 6

Step-by-step explanation:

We are given:

The graph of y = f(x)

We need to find all of the real solutions of f(x) = 0?

By looking at the graph we need to find the values of y when x =0

Looking at the graph, when x=0 we get

0, 2,5 and 6

So, the real solutions of f(x)=0 are: 0, 2, 5, 6

I am attaching the figure, that determines the answers.

Answer:

Step-by-step explanation:

-4.32193257293

Answer:

x=-9

Step-by-step explanation:

-7x=63

x = 63 ÷ -7 = -9

Answer:

slope=1/2

y-intercept=2

slope-intercept form: y=1/2x+2

Step-by-step explanation:

Answer:

the length of the minute hand is 36/100 . 150 = 54 (mm)

y is the distance between the minute hand and the hour hand now

x is the angle beween the minute hand and the hour hand, so we have:

cos x = 36/54 = 2/3 => sin x = [tex]\sqrt{1-(\frac{2}{3})^{2} }=\frac{\sqrt{5} }{3}=\frac{y}{54}[/tex]  => y = 18√5 (mm)

a) see in the ques, u can see that in 45', the minute hand will move a distance equal to 2 times its length and a distance = 2.18√5 (mm)

=> the distance which the minute hand will move is 54.2 + 2.18√5 = 188,50 (mm)

b) the distance which the minute hand will move in 1h is 54.4 - 18√5 = 175,75(mm)

the distance which the hour hand will move in 1h is 36.4 = 144 (mm)

=> the minute hand will move: 175,75 - 144 = 31,75(mm) further than the hour hand

Step-by-step explanation:

Answer:

3/k = 4/5

k = 3 divided by 4/5

k = 3.75

Step-by-step explanation:

9514 1404 393

Answer:

  k = 5

Step-by-step explanation:

Suppose the distance to the factory is 1 unit. Then the speed the father walks is ...

  speed = distance/time = 1 / 30 . . . . units per minute

When the father leaves 10 minutes earlier than the son, his position t minutes after the son starts walking is ...

  d = 1/30(t +10)

Similarly, when the father starts 5 minutes earlier than the son, his position t minutes after the son starts walking is ...

  d = (1/30)(t +5)

We want that to be the same as the distance the son covers t minutes after he starts walking. The son's progress is ...

  d = 1/20t

To find the value of k such that the distance covered is the same 2k minutes after the son starts, we will use t=2k and d=d, so ...

  (1/30)(2k +5) = (1/20)(2k)

  4k +10 = 6k . . . . . multiply by 60

  10 = 2k . . . . . . . . . subtract 4k

  5 = k . . . . . . . . . . . divide by 2

__

The attached graph shows the different scenarios, where the blue line is the son's progress. When the father starts 5 minutes earlier, the son meets him half-way to the factory after 10 minutes, so k = 10/2 = 5.

Answer:

cannot be simplified.

Answer:

Option.B

There is a negative correlation in the data set

The correlation shown in the data is negative correlation.

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Positive correlation is defined as the relationship where the value of y increases with the increase in the value of x.

Negative correlation is defined as the relationship where the value of y decreases with the decrease in the value of x.

Here the points are in such a way that the value of y decreases with increase in x.

So it is negative correlation.

Hence the correct answer is negative correlation.

Learn more about Scatterplots here :

https://brainly.com/question/14234464

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