The cross-section of the reflector in a flashlight is a parabola. Suppose the light bulb is located at the focus of the cross-section, 2.5 cm in front of the vertex.

Assume the vertex is at the origin and that the parabola is concave left (it opens left as depicted in the picture). What is the equation for the cross-section of the reflector?

Answer:  Hello There!!

w = -5/2

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Answer:

-10/4

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Answer:

it makes sense

Step-by-step explanation:

Answer:

A) c(x)=2x+60

$74

Step-by-step explanation:

A) c(x)=2x+60

$74

Answer:

34 adult ticket and 22 youth tickets

Step-by-step explanation:

Let the price of adult be x

Let the price of youth tickets be y

If the Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park, then;

2x+3y = 134 .... 1

Also if the Coaster family  spends $146 on 3 adult tickets and 2 youth tickets at the same park then;

3x+2y = 146 ..... 2

Solve simultaneously

2x+3y = 134 .... 1 * 3

3x+2y = 146 ..... 2 * 2

_____________

6x+9y = 402

6x+4y = 292

Subtract

9y-4y = 402-292

5y = 110

y = 110/5

y = 22

Substitute y =22 into 1;

From 1;

2x+3y = 134

2x+3(22) = 134

2x+66 = 134

2x = 134-66

2x = 68

x = 34

Hence there are 34 adult ticket and 22 youth tickets

Answer:

Graph C.

Step-by-step explanation:

The graph which illustrates a proportional relationship is graph c because as the value on the Y-axis increases, the values on the X-axis increases consequently.

A direct proportion implies that the values of the quantities on both sides are increasing at a constant rate. Critically looking at graph c, you will notice or observe that the values both intersect at specific intervals or points on the graph.

Answer:

C.

Step-by-step explanation:

it could also be written as (sqrt225)^3

C is correct because sqrt225 is equivalent to 225^1/2

using exponent rules, 3 mutiplies to the 1/2 making it 225^3/2

Answer:

18m³ + 2m² - 1m

Step-by-step explanation:

For perimeter you add up all the side lengths.

Cubed term:

5m³+5m³+8m³

10m³+8m³

18m³

Squared term:

3m²+3m²+ (-4m²)

6m² - 4m²

2m²

Regular term:

-2m + (-2m) + 3m

-4m + 3m

-m

Answer:

10

Step-by-step explanation:

Answer:

9/10 > 78/100

Step-by-step explanation:

We can make 9/10 into 90/100, and since they now have the same denominator (Bottom number in fraction), we can now compare the numerators (Top number in fraction). 90 is greater than 78 so we can say that 9/10 > 78/100 (9/10 is greater than 78/100).

Answer:

For this question, subtract 5 on both sides to get [tex]\frac{m}{3}[/tex]=7. Then, multiply 3 on both sides to get m=21.

Answer:

M=21

Hope this helps, and happy valentines day :D

Answer:

Follows are the responses to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]Stem\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Leaf\\\\[/tex]

   [tex]3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0,0,0,1,1,2,2,2,2,2,3,4\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8,8,8\\\\5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1,4,4\\\\[/tex]

  [tex]5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,8\\\\6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6,6,7,8\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ NONE\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\[/tex]

The stem & leaf show demonstrates that 0.55 for both the data is indeed a reasonable value.

The probable outlier is the data value 0.76.

The variability of the techniques is relatively large.

It show isn't symmetrical and seems to be optimistic.

The true statement  the same distance from the center of the circle is they must be perpendicular.

We have given that,

Two chords in a given circle are the same distance from the center of the circle.

If the two chords are congruent, then they must be equidistant from the center of the circle.

A is rejected because the chord might not pass through the center of the circle.

B is rejected because the chords are not obligated to be parallel.

C is rejected because it is not compulsory for the chords to be perpendicular.

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Answer: C. They must be congruent.

Step-by-step explanation:

The answer is,

[tex]y = 1.6[/tex]

Answer:

Y = 1.6

Step-by-step explanation:

Y = 2 - 0.4

Y = 1.6

Answer:

The value of the test statistic is 0.4.

Step-by-step explanation:

The value of the test statistic is given by:

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Using traditional methods, it takes 8.1 hours to receive a basic flying license.

This means that [tex]\mu = 8.1[/tex]

A researcher used the technique with 23 students and observed that they had a mean of 8.2 hours with a standard deviation of 1.2.

This means that [tex]n = 23, X = 8.2, \sigma = 1.2[/tex]

Find the value of the test statistic.

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{8.2 - 8.1}{\frac{1.2}{\sqrt{23}}}[/tex]

[tex]t = 0.4[/tex]

The value of the test statistic is 0.4.

Answer:

11%

Step-by-step explanation:

it is a simple question, whenever you need to find % increase or % decrease.

always divide the increase as in this case $2 by the original amount which is $18 and multiply it by 100 as you need to take the %.

so,

2/18*100 gives you 11.11%      * is multiply  

Step-by-step explanation:

$20 - $18 = $2

to get % of increase we need to know what % of $18 the $2 are.

$2 ÷ $18 = 0.11111111........

Multiply this number by 100 and you will get the percentage.

0.111111111111........ x 100 = 11.1111111111....%

Answer:

D

Step-by-step explanation:

two sides are congruent and in between is an angle

Answer:

The number is [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

I am going to call the number x.

A number that adds with 2/3 subtract will 1/3 will be 8.

As an equation, this is:

[tex]x + \frac{2}{3} - \frac{1}{3} = 8[/tex]

Now we solve the equation to find x. So

[tex]x + \frac{2-1}{3} = 8[/tex]

[tex]x + \frac{1}{3} = 8[/tex]

[tex]x = 8 - \frac{1}{3}[/tex]

[tex]x = \frac{24}{3} - \frac{1}{3}[/tex]

[tex]x = \frac{24-1}{3}[/tex]

[tex]x = \frac{23}{3}[/tex]

The number is [tex]\frac{23}{3}[/tex]

Answer:

C. 45

Step-by-step explanation:

Since the question is asking how many females have both a driver's license and a part-time job. So you need to find the number that reoresents all three of these categories. This category is  shown in the very center with the number 45.

Hope it helps!

Answer:

C. 45

Step-by-step explanation:

Because its inside all three circles that you want.

Divide miles by time:

77 9/16 miles / 8 1/2 hours =

Rewrite as I’m proper fractions:

1241/16 / 17/2

Flip the second fraction over and multiply:

1241/16 x 2/17 = (1241x2)/(16x17) =

2482/272 = 9 1/8 miles per hour

Hi there!

Simplify each terms:

[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]

Divide each terms:

[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]

Simplify terms:

[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]

Final Result:

[tex]9\frac{1}{8}[/tex]

Answer:

first go to a diffrent site

Step-by-step explanation:

Step-by-step explanation:

sum of the ratio=3+3+4=10

now,

angle I = 3/10×180=54

angle II= 3/10×180=54

angle III=4/10×180=72

that shows th given triangle is isoceles

Answer:

Step-by-step explanation:

50(1+7.25/100)

50(107.25/100)

50(1.0725)

53.625

$53.63

option a as 3 is outside of bracket it will be multiplied by what is in bracket sot the answer will equivalent to question

The equivalent expression for the given expression is 3(x+2y). Therefore, the correct answer is option A.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 3x+6y.

Here, the common factor of two terms 3x and 6y is 3

Now, 3(x+2y)

Therefore, option A is the correct answer.

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Answer:

h(35) = 43

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

h(t) = 50 - t/5

h(35) is t = 35

Step 2: Evaluate

Answer:

-4 and 6

Step-by-step explanation:

Answer:

y uwu

Step-by-step explanation: i think