Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first person standing at point A hears the burst. Six seconds ​later, the second person standing at point B hears the burst. If the person at point B is due west of the person at point A and if the display is known to occur due north of the person at point​ A, where did the fireworks display​ occur? Note that sound travels at 1100 feet per second.

Answer:

Matt ran 6 miles.

Step-by-step explanation:

Stan ran 4 and 7/10 miles, and this is 1 and 3/10 fewer miles than Matt.

this means that Matt ran the following amount of miles

4 and 7/|0 + 1 and 3/10 miles:

(4 + 1) + (7/10 + 3/10) = 5 + 10/10 = 6 miles.

This would be the correct way to solve this equation.

Answer:

5 filters

Step-by-step explanation:

1 filter = 1 million remain

2 filter =100,000 remain

3 filter =10,000 remain

4 filter =1,000 remain

5 filter  = 100 remain which is below to 500

To reduce the pollutant to below 500 particles per gallon, the water would need to be filtered through 13 filters.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Let's first define a variable, p, to represent the number of filters. We can then say that the number of particles remaining in the water after the first filter is applied is 0.9 x 10,000,000 = 9,000,000 particles per gallon.

After the second filter is applied, the number of particles remaining is 0.9 x 9,000,000 = 8,100,000 particles per gallon, and so on.

This equation would be [tex]0.9^p \times 10,000,000[/tex]. We want to find the smallest value of p that makes this expression less than 500.

We can solve this by setting the expression equal to 500 and solving for p. This gives us the equation [tex]0.9^p \times 10,000,000=500[/tex].

Solving for p, we get p = log(500/10,000,000) / log(0.9), which is approximately 12.39.

Since we can only use a whole number of filters,

Thus, we would need to use 13 filters to reduce the pollutant to below 500 particles per gallon.

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ2

Answer:

36

Step-by-step explanation:

In circle with center O,

[tex] chord\overline {EF} \cong chord\overline {WV}... (Given) [/tex]

Since, congruent chords are equidistant from the center of the circle.

[tex] \therefore PG = GO\\

\therefore - x +10 = - 3(x+2)\\

\therefore - x + 10 = - 3x - 6\\

\therefore 3x - x = - 6-10\\

\therefore 2x = - 16\\\\

\therefore x = \frac{-16}{2} \\\\

\huge \red {\boxed {\therefore x = - 8}} \\\\

\because \overline {PO} = \overline {PG} + \overline {GO} \\

\therefore \overline {PO} = - x + 10 + \{-3(x + 2)\}\\

\therefore \overline {PO} = - x + 10 - 3x - 6\\

\therefore \overline {PO} = - 4x + 4 \\

\therefore \overline {PO} = - 4\times (-8)+ 4 \\

\therefore \overline {PO} =32+ 4 \\

\huge \orange {\boxed {\therefore \overline {PO} =36}} \\[/tex]

Answer:

-17.85

Step-by-step explanation:

=> y-x+z

Putting y = 4, x = 22 and z = 0.15

=> 4-22+0.15

=> -18+0.15

=> -17.85

Answer:

the answer is -17.85

Step-by-step explanation:

to find the answer first substitute x, y and z by the numbers 22, 4 and 0.15 respectively.

y-x+z

4-22+0.15

-18+0.15=-17.85

Answer:

4

Step-by-step explanation:

Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

Gradient of line segment

[tex] = \frac{14 - 6}{10 - 8} \\ = \frac{8}{2} \\ =4[/tex]

Answer:

AP = 14

Step-by-step explanation:

According to secant-secant theorem

(CP)(PD)=(BP)(AP)

7×12=6×AP

AP = 84/6

AP = 14

Answer:

A tangent line touches a curve at one point and has the same slope as the curve at that point. A secant line intersects at 2 or more points and has a slope equal to the average rate of change between those points.

Answer:

A Tangent of a circle is found outside of the circle but touching 2 points of the circle on the outside. But a Secant is found inside the circle and it touches 2 points in the circle. A Chord can always be Secant, but a secant can not always be a chord because it may pass through the circle.

Step-by-step explanation:

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval [tex](x_{s}, x_{f})[/tex] will be given by the following equation:

[tex]S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}[/tex]

In this problem, we have that:

[tex]B(t) = 1000(1.02)^{t}[/tex]

Find the average rate of change in the balance over the interval t = 0 to t = 5.

[tex]B(0) = 1000(1.02)^{0} = 1000[/tex]

[tex]B(5) = 1000(1.02)^{5} = 1104.08[/tex]

Then

[tex]S = \frac{1104.08 - 1000}{5-0} = 20.82[/tex]

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Answer: A=286.2 m²

Step-by-step explanation:

The surface area of a cone is [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex].

We are given h=11 m and r=5 m. With these values, we can plug them into the equation to find the surface area.

[tex]A=\pi (5)(5+\sqrt{11^2+5^2} )[/tex]

[tex]A=5\pi (5+\sqrt{146} )\\[/tex]

[tex]A= 268.2 m^2[/tex]

Answer:

The cone pictured has a surface area of_268.2___a0 square meters

Step-by-step explanation:

SA of a cone = πr² + πrs

s = slant height

s = √h² +r²

so combined together

SA of a cone = πr² + πr(√h² + r²) = πr(r +√h² + r²)

SA of a cone = 3.14*5(5+[tex]\sqrt{11^{2}+ 5^{2} }[/tex] ) =268.2038

Answer:

70°

Step-by-step explanation:

Since it's a trapezoid the sum of a and x would be 180°

110° + x = 180°

x = 70°

Answer:

(-1,9)

Step-by-step explanation:

y=-3x + 6

y= 9

Set the two equations equal

-3x + 6 = 9

Subtract 6 from each side

-3x+6-6 = 9-6

-3x =3

Divide by -3

-3x/-3 = 3/-3

x =-1

y = 9

(-1,9)

The solution to the system of equations is (-1, 9). Therefore, option C is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=-3x+6 ----(i) and y=9 ----(ii).

From equation (i) and (ii), we get

9=-3x+6

-3x=3

x=-1

Substitute x=-1 in equation (i), we get

y=-3(-1)+6

y=3+6

y=9

So, the solution is (-1, 9)

Therefore, option C is the correct answer.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ7

Answer:

The probability is 0.19.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Odds in favor of a win are given as 19 to 81.

This means that for each 19 + 81 = 100 games played, there are expected to be 19 wins.

Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

Desired outcomes:

19 wins, so D = 19.

Total outcomes:

100 games, so T = 100:

Probability:

[tex]p = \frac{D}{T} = \frac{19}{100} = 0.19[/tex]

The probability is 0.19.

Answer:

Jake

Step-by-step explanation:

Noah: 11 feet per second

Katie: 423 feet / 33 seconds = 12.82 ft/sec (just divide the feet / seconds)

Jake:

1 mile = 5280 feet

Adam runs 5280ft / 396 seconds = 13.34 ft/sec

Liz:

1 minute = 60 second.

Liz runs 638 feet / 60 seconds = 10.63 ft / sec

From the above results we find that Jake runs the fastest

Answer:

152°

Step-by-step explanation:

Let P be any point on tangent [tex] \overleftrightarrow{YZ} [/tex] and WY is secant or chord of the [tex] \odot J[/tex] .

[tex] \therefore m\angle WYZ + m\angle WYP = 180°\\(Straight \: line \: \angle 's) \\

\therefore 104° + m\angle WYP = 180°\\

\therefore m\angle WYP = 180°- 104° \\

\red{\boxed {\bold {\therefore m\angle WYP = 76°}}} \\[/tex]

NOW, by tangent secant theorem:

[tex] m\angle WYP =\frac{1}{2}\times m(\widehat{WXY}) \\\\

76°=\frac{1}{2}\times m( \widehat{WXY}) \\\\

76°\times 2 =m( \widehat{WXY}) \\

\huge \purple {\boxed {\therefore m(\widehat{WXY}) = 152°}} [/tex]

Answer:

  H  70 in³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = (1/3)Bh

  V = (1/3)(21 in²)(10 in) = 70 in³

The volume of the pyramid is 70 cubic inches.

Answer:

[tex]= 70 {in}^{3}[/tex]

Third answer is correct.

Step-by-step explanation:

[tex]v = \frac{base \: \: \: area \times height}{3} \\ = \frac{21 \times 10}{3} \\ = 70 {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

19.4ft

Step-by-step explanation:

A parallelogram has two sides parallel and equal meaning the top and bottom length are the same;

Meaning if the top is C, the bottom is C.

Similarly the length at the right side equals that on the left;

That means the the left = 60.4ft

Perimeter means distance round

And perimeter =157.6ft

Meaning if we start from the Top, it means:

C+ 60.4ft + C + 60.4ft= 157.6ft

C + C + 60.4ft+ 60.4ft = 157.6ft

2C + 120.8 = 157.6

2C = 157.6 - 120.8

2C= 36.8

C = 36.8/2

C= 19.4ft

You can calculate C from here

Answer:

Rhombus

Step-by-step explanation:

Answer:

Step-by-step explanation:

rhombus

Answer:

-8 = x

Step-by-step explanation:

-15 = 2x + 1

-1            - 1            Subtract 1 from both sides

-16 = 2x                 Divide both sides by 2

-8 = x

To make sure this answer is correct, plug it into the equation to see if it works.

-15 = 2(-8) + 1       Multiply

-15 = -16 + 1          Add

-15 = -15

Answer:

Shen has a slower heart rate than Adrian.

Shen’s unit heart rate is 64 beats per minute.

Adrian’s unit heart rate is 72 beats per minute.

Answer:

1) Null hypothesis:[tex]p \geq 0.4[/tex]  

Alternative hypothesis:[tex]p < 0.4[/tex]  

2) [tex]z=\frac{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913[/tex]  

3) [tex]p_v =P(z<-0.913)=0.1806[/tex]  

4) For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4

a. Fail to reject the null hypothesis

Step-by-step explanation:

Information given

n=500 represent the random sample taken

[tex]\hat p=0.38[/tex] estimated proportion of if the people they are confident of meeting their goals  

[tex]p_o=0.4[/tex] is the value to test

represent the significance level

z would represent the statistic

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

Part 1

We want to test if the true proportion is less than 0.4, the system of hypothesis are.:  

Null hypothesis:[tex]p \geq 0.4[/tex]  

Alternative hypothesis:[tex]p < 0.4[/tex]  

a. left-tailed

Part 2

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{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913[/tex]  

Part 3

The p value for this case can be calculated like this:

[tex]p_v =P(z<-0.913)=0.1806[/tex]  

Part 4

For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4

a. Fail to reject the null hypothesis

Answer:

See below.

Step-by-step explanation:

9.

Property of a rhombus:

In a rhombus, the diagonals are perpendicular.

The sum of the measures of the angles of a triangle is 180 deg.

Since the diagonals are perpendicular, the angles formed by the intersection of the diagonals are right angles and measure 90 deg.

m<ABD + m<CAB + 90 = 180

50 + m<CAB + 90 = 180

m<CAB + 140 = 180

(i) m<CAB = 40

The diagonals of a rhombus divide the rhombus into 4 congruent triangles.

Call the point of intersection of the diagonals E.

Triangles CEB and AEB are congruent.

m<BCA = m<DCA = 40

m<BCD = m<BCA + m<DCA = 40 + 40

(ii) m<BCD = 80

m<CDB = m<ADB = 50

m<ADC = m<CDB + m<ADB = 50 + 50

(iii) m<ADC = 100

10.

There are two angles labeled z. One is near point E and one is near point O. One of them probably is x.

Two angles measure 60 and 80. Add them to get 140.

z (near point O) and the 140 deg angle are a linear pair. their measures add to 180 deg.

z + 140 = 180

z = 40 (This is the z near point O.)

z (near point O) and 60 deg add to an interior angle of the parallelogram.

z + 60 = 40 + 60 = 100

The interior angle at vertex O measures 100 deg.

Adjacent interior angles of a parallelogram are supplementary.

100 + y = 180

y = 80

The two angles labeled z are alternate interior angles. Since the sides of a parallelogram are parallel, the two angles labeled z are congruent and measure 40 deg.

z = 40 (This is angle z near point E)

Answer:

This statement would be false.

Step-by-step explanation:

The given equations have slopes that are positive and negative. Therefore, we know that they will intersect at some point because the slopes are not the same. In fact, they intersect at the point (9 3/4, 1 1/2).

I have attached an image of the graph of these two equations for your reference.

Answer:

The meat production per animal obtained from a non-superior breed pig = 4.8 kg of meat per non superior breed of pig.

Producția de carne pe animal obținută de la un porc de rasă non-superioară = 4,8 kg de carne pe o rasă de porc non-superioară.

Step-by-step explanation:

English Translation

A quarter of the number of pigs on the farm, being of superior breed, bring at the end of the year, on average, a production of 9.6 kg of meat per animal. The production thus obtained represents half of total meat production, Determine the meat production per animal obtained from a non-superior breed pig.

Solution

Let the meat production per animal for the non superior breed of pig be y

Let the total number of pigs be x

A quarter of the pigs are superior breed, 0.25x, bring in 9.6 kg of meat per superior breed of pigs.

Total amount of meat produced by the superior breed of pigs = 0.25x × 9.6 = (3.6x) kg

This means that there are three quarter pigs from the less superior breed, 0.75x, making y kg of meat per animal.

Total amount of meat produced by the non superior breed of pigs = 0.75x × y = 0.75xy kg

Total meat production = (3.6x + 0.75xy) kg

It is then given that the total amount of meat from the superior breed is half of the total meat production.

That is,

3.6x = (3.6x + 0.75xy)/2

7.2x = 3.6x + 0.75xy

7.2x - 3.6x = 0.75xy

3.6x = 0.75xy

y = (3.6/0.75) = 4.8 kg

Hence, the meat production per animal obtained from a non-superior breed pig = 4.8 kg of meat per non superior breed of pig.

In Romanian/In limba romana

Permiteți producția de carne pe animal pentru rasa non superioară de porc

Fie numărul total de porci x

Un sfert din rasa superioară, 0,25x, aduce 9,6 kg de carne pentru fiecare rasă superioară de porci.

Un sfert din porci sunt de rasa superioară, 0,25x, aduc 9,6 kg de carne pe rasă superioară de porci.

Cantitatea totală de carne produsă de rasa superioară de porci = 0,25x × 9,6 = (3,6x) kg

Aceasta înseamnă că există trei sferturi de porci de la rasa mai puțin superioară, 0,75x, ceea ce face y kg de carne pe animal.

Cantitatea totală de carne produsă de rasa non superioară de porci = 0,75x × y = (0,75xy) kg

Producția totală de carne = (3,6x + 0,75xy) kg

Se consideră că cantitatea totală de carne de la rasa superioară este jumătate din producția totală de carne.

Acesta este,

3,6x = (3,6x + 0,75xy) / 2

7,2x = 3,6x + 0,75xy

7,2x - 3,6x = 0,75xy

3,6x = 0,75xy

y = (3,6 / 0,75) = 4,8 kg

Prin urmare, producția de carne pe animal obținută de la un porc de rasă non-superioară = 4,8 kg de carne la o rasă de porc ne superioară.

Hope this Helps!!!

Sper că acest lucru vă ajută!!!

Answer:

12

Step-by-step explanation:

Simplify the expression.

[tex]\frac{y}{2} +\frac{40}{3}[/tex]

Answer:

Step-by-step explanation:

Given that:

An epidemiologist found five cases of "big toe cancer" in the Yukon Territory.

Therefore, shoe size > 9

1) From the required data given below

                       Case       Control       Total

Yes                2(a)             3(b)            5

No                  3(c)             2(d)            5

Total               5                 5                10

∴ odds ratio = ad/bc

= 4/9

=0.444

2) From the less than 1.0 mean that the odds of cancer among case is lower than the odds of cancer among controls

Answer:

Step-by-step explanation:

work is shown and pictured

Answer:

Step-by-step explanation:

I remember leaving a top of ten percent (15%)

lets convert 15% into a decimal

15%=0.15

Tip=0.15x, where x is the bill price

Tip=0.15*34

Tip=5.1

So he could get  5$ and 10 cents as a tip

Answer:

[tex]-3 \le h \le 1[/tex].

Step-by-step explanation:

Apply the property of absolute values: if [tex]a \ge 0[/tex], then [tex]|x| \le a \iff -a \le x \le a[/tex]. By this property, [tex]|- 3\, h - 6 | \le 3[/tex] is equivalent to [tex]-3 \le -3\, h - 6\le 3[/tex]. That's the same as saying that [tex]-3\, h - 6 \ge -3[/tex] and [tex]-3\, h - 6 \le 3[/tex].

Add [tex]6[/tex] to both sides of both inequalities:

[tex]-3\, h \ge 3[/tex] and [tex]-3\, h \le 9[/tex].

Divide both sides of both inequalities by [tex](-3)[/tex]. Note that because [tex]-3 < 0[/tex], dividing both sides of an equality by this number will flip the direction of the inequality sign.

Both inequalities are supposed to be true. Combining the two inequalities to obtain:

[tex]-3 \le h \le 1[/tex].