Write and equation in slope intercept form through (5,2) and parallel to the given line y=-5x+3

Answer:

16263 ways

Step-by-step explanation:

Given that:

Number of coin tosses, n = 15

Number of heads is between 8 and 12 inclusive

For 8 heads, tails = 15 - 8 = 7

15! / (8!7!) = 6435

For 9 heads, tails = 15 - 9 = 6

15! / (9!6!) = 5005

For 10 heads, tails = 15 - 10 = 5

15! / (10!5!) = 3003

For 11 heads, tails = 15 - 11 = 4

15! / (11!4!) = 1365

For 12 heads, tails = 15 - 8 = 3

15! / (12!3!) = 455

(6435 + 5005 + 3003 + 1365 + 455) = 16,263 ways

Answer:

38 students

Step-by-step explanation:

because 19% of 205 is 38.95, but not fully 39 students, so about 38 students

Answer:

50

Step-by-step explanation:

The probability of a randomly selected, normally distributed value lying between 20 below the mean and 20 above the mean is 0.9545 (rounded to the nearest hundredth).

A number between zero and one represents the probability that an occurrence will take place. An event is a predefined set of random variable outcomes. Only one mutually exclusive event can occur at a time. Exhaustive events encompass or include all possible outcomes.

We can calculate the probabilities of a randomly chosen value falling between different z-scores using the provided standard normal distribution table.

a) The probability of a value being 0 below or above the mean is the same as the probability of a value being -1 to 1 standard deviations from the mean. According to the standard normal distribution table, the probability of a z-score between -1 and 1 is 0.6827. As a result, the probability of a randomly chosen, normally distributed value falling between 0 below and 0 above the mean is 0.6827. (rounded to the nearest hundredth).

b) The probability of a value falling between 20 and 20 standard deviations from the mean is the same as the probability of a value falling between -20/10 and 20/10 standard deviations from the mean (since the standard deviation is 10). According to the standard normal distribution table, the probability of a z-score between -2 and 2 is 0.9545. As a result, the probability of a randomly chosen, normally distributed value falling between 20 below and 20 above the mean is 0.9545. (rounded to the nearest hundredth).

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Answer:

Step-by-step explanation:

To convert a value to a z-score, you need to subtract the mean and divide by the standard deviation. Here is how to convert each value to a z-score:

a. x = 23: (23 - 25) / 3 = -0.67

b. x = 33: (33 - 25) / 3 = 2.33

c. x = 19: (19 - 25) / 3 = -1.67

d. x = 45: (45 - 25) / 3 = 6.67

Therefore, the z-scores are -0.67, 2.33, -1.67, and 6.67 for values a, b, c, and d respectively.

According to the information given in the exercise, the weight of the bag of ice when Charlotte bought it was 14 pounds, but 10% dripped out of the bag when she got home.

You can express 10% as a decimal number by 100:

Let be "x" the weight of the bag of ice (in pounds) when Charlotte got home.

Based on the above, you can write the following equation:

Answer:

y + 4 =(1/4)(x - 1)

Step-by-step explanation:

The point slope equation is y - k = m(x - h), where (h, k) is the given point and m is the given slope.

In this particular case we have y + 4 =(1/4)(x - 1)

Answer:

102.4

Step-by-step explanation:

8(19-6.2)

8(12.8)

102.4

Answer:

102.4

Step-by-step explanation:

I looked it up on mathaway there is no explanation

Answer:

Given equations are,

5x+2y=−2        (1)

3x−5y=17.4      (2)

Multiply equation (1) by 5 and equation (2) by 2, we get,

5(5x+2y)=5×−2

∴25x+10y=−10          (3)

2(3x−5y)=2×17.4

∴6x−10y=34.8          (4)

Adding equations (3) and (4), we get,

31x=24.8

∴x=

31

24.8

​

Put this value in equation (1), we get,

5(

31

24.8

​

)+2y=−2

∴

31

124

​

+2y=−2

∴2y=−2−

31

124

​

∴2y=

31

−186

​

∴y=

31

−93

​

Step-by-step explanation:

Answer:

its A and D dont listen to the other person lol

W

Answer:

Option A

Step-by-step explanation:

Given expression is,

\(4\sqrt{2}-5\sqrt{3}\)

If a radical term is given as \(\sqrt[a]{b}\),

Here, a = Index

And b = Radicand

In the given expression radical terms are \(\sqrt{2}\) and \(\sqrt{3}\).

In these radical terms radicands are 2 and 3, which are not same.

Therefore, expression given can not be simplified further.

Option A will be the answer.

hope it helps :-) good morning ☀️.

Answer:

Step-by-step explanation:

First you need to find the slope of the line that contains those 2 points.

\(m=\frac{0-8}{0-(-4)}=\frac{-8}{4}=-2\)

So the slope is -2. Now we can pick one of those points and sub it into the point-slope formula to find the equation:

y - 0 = -2(x - 0) gives us an equation of

y = -2x

The equation of the sinusoid function is:

3 Sin πx + 2.

Let's analyze the given options to find the correct equation:

a. 3 Cos πx + 2:

This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.

b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.

c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:

To determine if the period is correct, we need to calculate the x-values when the function repeats itself.

In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.

sin(πx) = 0 when πx = 0, π, 2π, 3π, ...

Solving for x, we have:

πx = 0 ⟹ x = 0

πx = π ⟹ x = 1

πx = 2π ⟹ x = 2

πx = 3π ⟹ x = 3

From this, we can see that the function repeats itself every integer value of x, which matches the given information.

Therefore, option (c) is the correct equation: 3 Sin πx + 2.

Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.

Hence, the equation of the sinusoid function is:

3 Sin πx + 2.

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Answer:

5/4

Step-by-step explanation:

Answer:

exact form 5/4

1 1/2 for a mixed number

1.25 as a decimal

Answer:

Week                   Mass  (gram)

(start)                    80

   1                         88  

   2                        96.8

   3                         106.48

   4                          117.128

Step-by-step explanation:

From the question we are told that

   The  mass of the kitten at the start week  is  m  =  80 g

   The rate at which the kitten grows is  r  =  0.10

Generally the mass of the kitten at the first  week is mathematically represented as  

    \(m_1 = ( r *  m)  + m\)

=>\(m_1 = ( 0.10 *  80 )  + 80 \)      

=>\(m_1 = 88 \ g  \)      

Generally the mass of the kitten at the second week is mathematically represented as  

     \(m_2 = ( r *  m_1)  + m_1\)

=>\(m_2 = ( 0.10 *  88 )  + 88 \)      

=>\(m_2 = 96.8 \ g  \)      

Generally the mass of the kitten at the third  week is mathematically represented as  

     \(m_3 = ( r *  m_2)  + m_2\)

=>\(m_3 = ( 0.10 *  96.8)  + 96.8 \)      

=>\(m_3 = 106.48  \ g  \)      

Generally the mass of the kitten at the fourth  week is mathematically represented as  

     \(m_4 = ( r *  m_3)  + m_2\)

=>\(m_4 = ( 0.10 *  106.48)  + 106.48 \)      

=>\(m_4 = 117.128  \ g  \)              

Week                   Mass  (gram)

(start)                    80

   1                        88  

    2                      96.8

    3                      106.48

   4                        117.128

Answer:

Answer:

The number of chirps per minute is 72

Step-by-step explanation:

Here, using the formula given, we want to find the number N representing the number of chirps per minute.

To get this, we shall simply substitute the value of 58 for T in the equation;

Thus;

58 = 50 + (N-40)/4

58 -50 = (N-40)/4

8 = (N-40)/4

4 * 8 = N -40

32 = N -40

N = 40 + 32

N = 72

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(x - h)² + (x - k)² = r²

r is the radius of the circle. We are given r as 16. So,

r² = 16

√r² = √16

r = 4

And we have our final answer!

Answer:

4

Step-by-step explanation:

(x - h)² + (x - k)² = r²

r is the radius of the circle. We are given r as 16. So,

r² = 16

√r² = √16

r = 4

This is the final answer!

Answer:

A) 585 miles

B) 584 miles

Step-by-step explanation:

We are told that the satellite pass directly over two tracking stations A and B, which are 90 mi apart.

This means that we can look at this as forming a kind of triangle where Tracking stations A & B will be

opposite ends of the base of the triangle while the satellite position will be the apex of the triangle.

We are given the angles of elevation at A and B to be 87.0° and 84.2° respectively.

Now, if we depict the satellite position as C. Then we have;

Angle at C = 180 - (87 + 84.2)

Angle at C = 8.8°

I've attached an image depicting this triangle.

A) To find the distance of the satellite from Station A, from the image attached, the distance will be AC.

Since AB is 90 mi.

Thus, using sine rule, we have;

AB/sin C = AC/sinB

Plugging in the relevant values;

90/(Sin 8.8) = AC/(sin 84.2)

AC = (90 × (sin 84.2))/(Sin 8.8)

AC = 585.27

To the nearest mile gives;

AC = 585 miles

B) To find out how high the satellite is above the ground, is the perpendicular distance from point C to line AB

Let's call the point at which the line touches AB as D.

It means angle D is 90° and it means triangle ADC it's a right angled triangle where AC is the hypotenuse = 585 miles.

Thus, using Trigonometric ratios we can find CD

Sin(87) = CD/585

CD = (Sin 87) x 585

CD = 584.198 miles

Approximating to the nearest mile gives;

CD = 584 miles

Answer:

Distance from A to Satellite: 1832.951 miles

Distance from satellite to ground: 1830.439 miles

Step-by-step explanation:

Answer: So unfortunately a lot of these answers for this question are not answering it correctly for the way that it is asked, which is not their fault because they cannot see the image in which it is referring to. Thats because in this question when it says the angle of elevation of A is 87° it is actually talking about the angle OUTSIDE of side A in the image, NOT THE INSIDE ANGLE. meaning that the inside angle across from angle B at 84.2 is actually 93° not 87°. (since it is the corresponding angle on a 180° line and we follow the geometric laws).

Now say we name the triangle ABC, we now have INNER ANGLE A at 93° and INNER ANGLE B at 84.2°.

To get INNER ANGLE C you subtract both ANGLE A & B added together from 180° to get ANGLE C since the all interior angles of a triangle = 180°

180°-(93°+84.2°)=2.8° so INNER ANGLE C =2.8°

Now we can use the LAW OF SINES to find the LENGHT OF SIDE "a"(lower case) (DISTANCE from A to C)(Which is Distance from Satellite to Station A)

DISTANCE FROM A TO C is referred to side "b" (lower case), as it is the side across from the INNER ANGLE B, same as side "c" (lower case) is DISTANCE FROM A TO B, as it is across from INNER ANGLE C.

LAW OF SIGNS EQUATION

b/sinB= c/sinC which means:

b/sin(84.2)=90/sin(2.8)

Which equates to c=90sin84.2/sin(2.8)

Which = 1832.951 (DISTANCE FROM SATELLITE TO A)

NOW to find the DISTANCE FROM THE SATELLITE TO GROUND: Draw a straight line down from satellite making a new RIGHT TRIANGLE.

Even though it is a RIGHT TRIANGLE (Call it XAC, X being the GROUND ANGLE) you can still use the Law of Sines to figure out the HEIGHT FROM GROUND TO SATELLITE.

This is where the 87° ANGLE comes in. With the new RIGHT TRIANGLE we have created, we know 2 of the interior angles: 87° and 90°. to find last interior angle just add together and subtract from 180.

180°-(87°+90°)=3°

Since we know side a SIDE "a" from previous Triangle, it now just becomes SIDE "x" (DISTANCE FROM A TO SATELLITE) which is 1832.9 miles.

Now use law of sines to find new side A (DISTANCE FROM X(GROUND) to SATELLITE(C)

The equation would be:

a/sinA=x/sinX which is

a/sin87=1832.951/sin90 which equates:

1832.951sin(87)/sin90=

1830.439 miles.

Very long and hard problem especially without image which I shall add. Good effort to everyone who tried to answer problem, it was correct if ANGLE A was inside the 2 SATELLITES, unfortunately it just wasn't the right way to find the answer that the actual question being asked (or I assume the actual question since I had it in my homework as well), which again was impossible to know without the image the problem gave.

I could never find the right answer for this problem so I made this to try and help others once I finally found the right answer (which I did finally get correct on the homework so I know this is correct, my problem simply had the distance from A to B as 80 Miles so I just reworked it for this problem with 90 miles instead. It is the same procedure no mater the values you are given, just replace them with the ones you're being asked)

HOPE THIS HELPS =]

Answer:

2546

Hope this helps

Answer:

the scale factor is either 4 or 1/4 depending if you are going from the model to the actual or the actual to the model.

Step-by-step explanation:

s= scale factor

2s = 8  Divide both sides by 2

x = 4

If I do the other way:

8s = 2 Divide both sides by 8

s = 1/4

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:

Your answer is 6.4 kilograms :D

Step-by-step explanation:

Answer:

6.4 kilograms

Step-by-step explanation:

weight converter

Answer:

It's a shared side???? It's a leg of a right triangle??? What are you specifically asking for? I need numbers

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

Answer:

117 Students bring lunch.

Step-by-step explanation:

36% of 325 is 117.

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

31

Step-by-step explanation:

All i did was 23+8 and i got 31 which is the distance between the numbers