Use the mapping to determine which of the following are elements of the range.
Name
Amy
Carol
Devon
Harrison
Jackson
Labron
Mason
Natalie
Paul
Sylvester
Birthday
January 5
January 7
February 24
March 1
April 7
May 30
July 20
August 1
November 13
November 26

Answer:

i think its D. i might be wrong sorry.

Step-by-step explanation:

Answer:D

Step-by-step explanation:

ones that go down are negative, and this is a cubic function

Answer:

question wrong

Step-by-step explanation:

2 same angles

[tex]\frac{13+5}{z} = \frac{z}{5} \\\\z^{2} = 5 * 18\\z^{2} = 90\\z = \sqrt{90} = 9,4[/tex]

Answer:

hi there, the answer is

A=45 cm2

Step-by-step explanation:

A= 1/2 x 10 x 9

A=5 x 9

A=45 cm2

Answer:

1,800 ft

Step-by-step explanation:

Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).

The equation that describes the internal angle of a regular polygon is:

[tex]A = \frac{(n-2)*180}{n}[/tex]

For A = 160 degrees:

[tex]160n=(n-2)*180\\(180-160)n=360\\n=18\ sides[/tex]

If each side is 100 ft long, the total distance that Rebecca has walked is:

[tex]d = 18*100\\d=1,800\ ft[/tex]

She walked 1,800 ft.

Answer:

(4,2). DEPENDENT

Step-by-step explanation:

As each equation consist on two variable, both can be represented graphically on a cartesian plane. First, each expression is rewritten in explicit form:

[tex]y = 6 - x[/tex] (red line) and [tex]y = x - 2[/tex] (blue line)

By the resource of graphing software, the solution is (4,2). The representation is presented below as attachment. As solution exists, both expression are linearly DEPENDENT.

Answer:

14 hours

Step-by-step explanation:

336/$24 = 14 hours

Answer: 14 hours

Step-by-step explanation:

Total charges = 336

Rate per hour = 24

No. of hours worked

= 336 / 24 = 14 hours

Answer:

[tex]y\in [-64,\infty)[/tex] .

Step-by-step explanation:

The given statement is "64 less than y is no less than −128". It means 64 less than y is greater than or equal to −128.

[tex]y-64\geq -128[/tex]

Add 64 both sides.

[tex]y-64+64\geq -128+64[/tex]

[tex]y\geq -64[/tex]

It means possible value of y is greater than or equal to -64.

[tex]y\in [-64,\infty)[/tex]

Therefore, the required interval is [tex][-64,\infty)[/tex].

At least 2,000

Step-by-step explanation:

I divided 8,822 by 3 and got 2940.66666....

If you basically round that, you get to 2,000

You could get 3,000 but they need to share their profit equally

(hopefully this helped :P)

Answer:

q = 9

Step-by-step explanation:

Make a ratio equation:

36 : 54 = 6 : q

[tex]\frac{2}{3} =\frac{6}{q}[/tex]

2q = 18

q = 9

Answer:

q = 9

Step-by-step explanation:

These shapes are similar, so set up a proportion like so:

[tex]\frac{54}{36} =\frac{9}{q}[/tex]

→Cross multiply:

[tex]\frac{324}{36q}[/tex]

→Divide 324 by 36:

q = 9

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

[tex]x(t) = -4.9t^{2} + 9.8t[/tex]

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format [tex]x(t) = at^{2} + bt + c[/tex]

The vertex is the point [tex](t_{v}, x(t_{v}))[/tex], in which

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

In this question:

[tex]x(t) = -4.9t^{2} + 9.8t[/tex]

So [tex]a = -4.9, b = 9.8[/tex]

Vertex:

[tex]t_{v} = -\frac{9.8}{2*(-4.9)} = 1[/tex]

The time taken for the upward motion is 1 second.

[tex]x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9[/tex]

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

[tex]-4.9t^{2} + 9.8t = 0[/tex]

[tex]4.9t^{2} - 9.8t = 0[/tex]

[tex]4.9t(t - 2) = 0[/tex]

[tex]4.9t = 0[/tex]

[tex]t = 0[/tex]

Or

[tex]t - 2 = 0[/tex]

[tex]t = 2[/tex]

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

Answer:

Length = 7

Width = 15

Step-by-step explanation:

L= x

W= x-8

2x+2(x-8)=44

Answer:

It is a colony. hope i helped :)

Step-by-step explanation:

Answer:

[tex]z=\frac{0.05 -0.06}{\sqrt{\frac{0.06(1-0.06)}{97}}}=-0.415[/tex]  

Now we can find the p value with the following probability:

[tex]p_v =P(z<-0.415)=0.3409[/tex]  

Step-by-step explanation:

Information given

n=97 represent the random sample taken

[tex]\hat p=0.05[/tex] estimated proportion of defective

[tex]p_o=0.06[/tex] is the value to verify

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to tests

We want to tet if the true proportion is less than 6%, the system of hypothesis are:  

Null hypothesis:[tex]p\geq 0.06[/tex]  

Alternative hypothesis:[tex]p < 0.06[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.05 -0.06}{\sqrt{\frac{0.06(1-0.06)}{97}}}=-0.415[/tex]  

Now we can find the p value with the following probability:

[tex]p_v =P(z<-0.415)=0.3409[/tex]  

Answer:

t = 3 seconds

Step-by-step explanation:

16t^2=144

Simplify by dividing both sides by 16:

t^2=9

t=3

Hope this helped!

Answer:

PQ = 6

Step-by-step explanation:

Using tangent-secant theorem,

(PQ)² = (PR)(PS)

(PQ)² = (4)(9)

(PQ)² = 36

Taking square root on both sides, we get

PQ = 6

Answer:

  16 years

Step-by-step explanation:

The rule of 72 says you can estimate the doubling time in years by dividing 72 by the interest rate in percent.

__

For an interest rate of 4.5%, the rule of 72 says the doubling time is ...

  72/4.5 = 16 . . . years

It will take about 16 years for the investment to double in value.

Answer:

The volume of the cone = 28 inch³

Step-by-step explanation:

First let's consider the formula for the volume of the shapes

For cylinder

Volume= πr²h

For cone

Volume= 1/3 πr²h

So we'd notice that no much difference except that the volume if a cylinder is divided by two to get that off a cone.

So if the volume of the cylinder is

84π inch

The volume of the cone is 84/3 = 28

The volume of the cone = 28 inch³

Answer:

brittany is 42

Step-by-step explanation:

if he is 40 years older than her and the sum of there ages is 82

82-40 = 42

Answer:

9 losts

The team had 14 draws which is 14points. So you will substrate 14points from the total 50point, which will left with 36point.

The 36point constitutes 12 wins

Therefore 12wins + 14draws = 26 matches.

You then substrate 26 matches from the 35total matches to get your lose matches.

: 35 - 26 = 9

Therefore, there was 9 lost matches

Answer:

80 g

Step-by-step explanation:

mass of sanitizer = 400 g

percentage of alcohol = 24%

mass of alcohol in the sanitizer = 24% of 400 g = 0.24 x 400 = 96 g

this means that the mass of other chemicals = 400 - 96 = 304 g

If alcohol content is increased to 30% by removing more of the other chemicals, then mass of alcohol will still remain 96 g

this means that 96 g becomes 30% of the resulting hand sanitizer, we write mathematically as

96 g = 30% of y

where y is the new mass of the sanitizer

96 = 0.3y

y = 96/0.3 = 320 g

The remaining mass of other chemicals  = 320 - 96 = 224 g

the total mass of other chemical lost is

304 - 224 = 80 g

Answer:

6.5%

Step-by-step explanation:

The formular used to calculate the cost of preferred stock is:

= Fixed dividend/Net proceeds

Fixed dividend= $50 × 8/100

= $50×0.08

=$4

Net proceeds= Market price-Flotation costs

= $65-(6/100×$65)

= $65-(0.06×$65)

= $65-3.9

= $61.1

Therefore cost of preferred stock is

= 4/61.1 ×100

= 0.065×100

= 6.5%

Hence the cost of preferred stock is 6.5%

Answer:

[tex]t=\frac{60-40}{\frac{22}{\sqrt{400}}}=18.18[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=400-1=399[/tex]  

The p value for this case would be given by:

[tex]p_v =P(t_{(399)}>18.18) \approx 0[/tex]  

For this case since the p value is a very low value we can conclude that we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly higher than 40 minutes

Step-by-step explanation:

Information provided

[tex]\bar X=60[/tex] represent the sample mean

[tex]s=22[/tex] represent the sample standard deviation

[tex]n=400[/tex] sample size  

[tex]\mu_o =40[/tex] represent the value to verify

[tex]\alpha=0.1[/tex] represent the significance level

t would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to verify if the true mean for this case is higher than 40 minutes, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 40[/tex]  

Alternative hypothesis:[tex]\mu > 40[/tex]  

The statistic would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{60-40}{\frac{22}{\sqrt{400}}}=18.18[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=400-1=399[/tex]  

The p value for this case would be given by:

[tex]p_v =P(t_{(399)}>18.18) \approx 0[/tex]  

For this case since the p value is a very low value we can conclude that we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly higher than 40 minutes

Answer:

A. 150.72 cm2

Step-by-step explanation:

blue sector is 120 deg which is 1/3 of circle

so its area:

Answer:

3

Step-by-step explanation:

you are right

Answer:

-3-i

Step-by-step explanation:

imaginary roots always occur in pairs.

so second root=-3-i

Answer:

A) -3-i

Step-by-step explanation:

imaginary roots always occur in pairs.

Answer:

A)24.8in

Step-by-step explanation:

17^2 + 18^2 =613

sq root of 613 = 24.758...

24.8in

To find the unit price we need to all price divide by number of gallons, so

[tex]17.70\div5=3.54[/tex]

Answer: The unit price is $3.54

Answer:

Unit price = 3.54$

Step-by-step explanation:

By using criss-cross method:

5 gallons -> $17.70

1 gallon -> ?

Unit price = 1x17.70 / 5 = 3.54$

Hope this helps..

Answer:

The answer is 4600. 10 with the exponent of 2 is 100, so 100 times 46 is 4600. Hope this helps;)

Step-by-step explanation:

Answer: Accommodation

Step-by-step explanation:

Accommodation is the adjustment of the optics of the eye to keep an object in focus on the retina as its distance from the eye varies.