Quadrilateral is shown in the coordinate plane below.
Draw an image of quadrilateral on the coordinate plane reflected over the y-axis.
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Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Equation for the height:

The height of the bird after x seconds is given by:

[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]

Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].

When the bird is at its highest?

Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]

The bird will be at a ground distance of 10.04 units away.

Answer:

[tex]p' = 0.22[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{78}{100}[/tex]

Required

Probability that a [tex]customer[/tex] does [tex]not[/tex] live [tex]within[/tex] [tex]50[/tex] miles

To do this, we make use of complement rule;

Which states that:

[tex]p + p' = 1[/tex]

Make p' the subject

[tex]p' = 1 - p[/tex]

So, we have:

[tex]p' = 1 - \frac{78}{100}[/tex]

Express fraction as decimal

[tex]p' = 1 - 0.78[/tex]

[tex]p' = 0.22[/tex]

Answer:

6765

Step-by-step explanation:

the answer is 6765

Answer: 6,765 kg

Step-by-step explanation:

55 x 123 = 6,765kg of Rice

Answer:

Step-by-step explanation:

The new equation will be

y = abs(x) + 3

I have made a graph to show you this.

The red graph is y = abs(x)

The blue graph is y = abs(x) + 3

You need only look at the point 0,0 to see what happened. On the red graph (0,0) is the lowest point. When you add 3 to get the lowest point, you should notice that the lowest point is now (0,3)

Sn = a(1-r^n)/(1-r)

Sn= 8(1-1/4096)/3= 2.67

Answer:

6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.

Step-by-step explanation:

15 substituted in for f and x is the the number of summers.

Answer:

6

21

36

51

Illuminate test.

Answer:

8

Step-by-step explanation:

If p is  inversely proportional to Q and P is 6 when q = 4, then;

p = k/q

6 = k/4

k = 6*4

k = 24

To get P when q = 3

Recall;

p = k/q

p = 24/3

p = 8

Hence the required value of p is 8

Note that the value of initial Q was assumed

Answer:

cross multiply

(3+2) 10^3==

5*10^3

Answer:

3 = a(-1-6)(-1+5).

Step-by-step explanation:

y = a(x - 6)(x + 5)

When x = -1, y = 3 so we have:

3 = a(-1-6)(-1+5).

9514 1404 393

Answer:

  equation: y = 4x

  graph is attached

Step-by-step explanation:

Let y represent the cost of the peaches in dollars. Let x represent their weight in pounds. Then the relation between the two variables is ...

  cost = (cost per pound) × (pounds)

  y = 4x

__

This graphs as a line through the origin with a slope of 4. In the attached, the x- and y-axes have different scales so more of the graph can be seen.

Answer:

the common difference is 10

Answer:

8.25

[tex]8\frac{1}{4}[/tex]

Step-by-step explanation:

n + r + a

6 + 0.25 + 2

8 + 0.25

8.25

Answer:

371 women had their pregnancy between 250 days and 282 days in length.

di po ako sure sa answer ko, but it is based on what I remembered.

Step-by-step explanation:

z=532-266

16

√500

= 371.74 or 371

Answer:

The answer for this question is 64 square centimeters

Step-by-step explanation:

To find the area of square , the formula is :

side × side , so in this question we should do 8×8 , since one of the side is 8 cm .

8×8 = 64

Thus the answer of your question is 64

—————————————————

[tex]\mathrm{A = s²}[/tex]

[tex]\mathrm{A = (8 \: cm)²}[/tex]

[tex]\mathrm{A = (8 \: cm)(8 \: cm)}[/tex]

[tex]{\boxed{\mathrm\green{A = 64 \: cm²}}}[/tex]

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{64 \: square \: centimeters}}}}[/tex]

Answer:

its -4.5??? what is the question you're asking

Answer:

[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]

Step-by-step explanation:

Given

[tex]z1 = 12(cos(320^o) + isin(320^o))[/tex]

[tex]z2 = 4(cos(80^o) + isin(80^o))[/tex]

Required

[tex]Quotient = \frac{z_1}{z_2}[/tex]

We have:

[tex]Quotient = \frac{12(cos(320^o) + isin(320^o))}{4(cos(80^o) + isin(80^o))}[/tex]

Divide 12 by 4

[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]

Solve using the following rule:

[tex]\frac{(cos(a) + isin(a))}{(cos(b) + isin(b))} = \cos(a - b) + isin(a - b)[/tex]

So, we have:

[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]

[tex]Quotient = 3(cos(320^o-80^o) + isin(320^o-80^o))[/tex]

[tex]Quotient = 3(cos(240^o) + isin(240^o))[/tex]

Hence:

[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]

Answer:

4/5

Step-by-step explanation:

here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5

==============================================

The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.

Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.

x+125 = 180

x = 180-125

x = 55

------------

Or you could approach it this way:

y = measure of angle 2

y+125 = 180

y = 55

angle 6 = angle 2 (corresponding angles)

angle 6 = 55 degrees

-------------

Yet another way you could solve:

z = measure of angle 3

z+125 = 180

z = 55

angle 6 = angle 3 (alternate interior angles)

angle 6 = 55 degrees

A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55

Answer:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c

Simplify each term.

3x²+2−x³+5x³−2x²−1

Simplify by adding terms.

4x³+x²+1

Step-by-step explanation:

Answer:

2 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

8 x 4 = 32 total coins

32÷8 = 4

Therefore, there are 4 times as many coins as people.

Hope this helps! :)

Answer: understand what

Step-by-step explanation:

Answer:

where qurstion

Step-by-step explanation:

??????????????

Answer:

3 is the right one

Step-by-step explanation:

Simple math you know

Answer:

c) vertical stretch by a factor of 2

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Horizontal stretch by a factor of 1/2.

We can also describe this as a horizontal compression by a factor 2

Answer:

1. 8 + t

2. g/15

3. 5b

4. 32 - x

Step-by-step explanation:

1. the sum of 8 and t

8 + t

2. the quotient of g and 15

g/15

3. the product of 5 and b

5b

4. the difference of 32 and x

32 - x

Answer:

a. Unsure

b. True

c. Unsure

d. True

A - False

B - True

C- False

D- True

Answer:

C

Step-by-step explanation:

Answer:

The 98% confidence interval for the mean of the population is (59, 68.2).

Step-by-step explanation:

Before building the confidence interval, we need to find the sample mean and the sample standard deviation.

Sample mean:

[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]

Sample standard deviation:

[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]

Confidence interval:

We have the standard deviation for the sample, and thus, we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59

The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.

The 98% confidence interval for the mean of the population is (59, 68.2).