Lane is pushing a box with a force of 308 newtons at an angle of 32o with the horizontal. her sister is pushing the box with a force of 287 newtons at an angle of 22o with the horizontal. determine the magnitude and direction of the resultant force on the box. please help i will give brainliest hurry

Answer:

I'm so sorry

Step-by-step explanation:

you have to re-enter in another format we can't all see the pictures

Answer:

runner 3

Step-by-step explanation:

Runner #1 runs 1 mile in 10 minutes

Runner #2 runs 1 mile in 12 minutes

Runner #3 runs 1 mile in 9.5 minutes

there will be approximately 61 grams of the radioactive rhodium remaining after 120 seconds.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

Given, You have 976 grams of a radioactive kind of rhodium.

The formula for the amount of a substance remaining after a certain amount of time given its half-life is:

N = N₀ *\((1/2)^{t / t_{1/2} }\)

where:

N₀ is the initial amount of the substance

N is the amount of the substance remaining after time t

t₁/₂ is the half-life of the substance

In this problem, N₀ = 976 grams, t = 120 seconds, and t₁/₂ = 30 seconds. We can plug these values into the formula and solve for N:

N = 976 * (1/2)⁽¹²⁰/³⁰⁾

N = 976 * (1/2)⁴

N = 976 * 0.0625

N ≈ 61

Therefore, after 120 seconds, there will be approximately 61 grams of the radioactive rhodium remaining.

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The solution of the circle is 3.204

We are given that;

\(mTN = (62-47), \\m/TKN = 33 \\mYM = (32-6),\\ mMX = (4x+10)\)

Now,

The theorem states that if two chords intersect inside a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. Using this theorem, we get:

\(TK \times KN = MY \times MX (62 - 47) \times (47 + 33) = (32 - 6) \times (4x + 10) 15 \times 80 = 26 \times (4x + 10) \\1200 = 104x + 260 \\104x = 940 \\x = 9.038\)

Since RY is a tangent to the circle H at Y, and YM is a secant to the circle H, we can use the tangent-secant theorem to find a relationship between their lengths and the length of the intercepted arc MX.

\(RY^2 = MY * MW (9r - 75)^2 = (32 - 6) * (32 - 6 + 4x + 10) \\(9r - 75)^2 = 26 * (46 + 4x) (9r - 75)^2 = 1196 + 104x\\ 81r^2 - 1350r + 5625 = 1196 + 104x \\81r^2 - 1350r + 4429 = 104 * 9.038 \\81r^2 - 1350r + 4429 = 940.952 \\8r^2 - 1350r + 3488.048 = 0\)

To solve this quadratic equation for r, we can use the quadratic formula. We get:

r = (-b ± √(b² - 4ac)) / (2a)

r = (-(-1350) ± √((-1350)² - 4 * 81 * 3488.048)) / (2 * 81)

r = (1350 ± √(1822500 - 1131918.752)) / 162

r = (1350 ± √(690581.248)) / 162

r ≈ (1350 + 831.032) / 162 or

r ≈ (1350 - 831.032) /162

r ≈ 13.407 or r ≈ 3.204

Therefore, by the given circle the answer will be 3.204

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Step-by-step explanation:

To graph the boundary lines of the linear inequalities, we need to first set up the inequalities based on the given information. Let x be the number of popcorn bags and y be the number of cotton candy bags. Then we have:

Chris needs at least 7 bags of popcorn, so the inequality for popcorn is x ≥ 7.

Chris has $56 to spend, so the total cost of popcorn and cotton candy cannot exceed $56, which gives the inequality 3x + 7y ≤ 56.

To graph the boundary lines, we need to first graph the lines corresponding to these two inequalities:

The line x = 7 is a vertical line passing through the point (7,0), because the only restriction on the popcorn is that Chris needs at least 7 bags.

The line 3x + 7y = 56 is a diagonal line with x-intercept 56/3 and y-intercept 8, because these are the points where the line intersects the x and y axes, respectively.

We can now plot these lines on a coordinate plane:

|

8 | x = 7

| o

7 | |

| | 3x + 7y = 56

6 | |

| o

5 |

| o

4 |

|

3 |

|

2 | o

|

1 | o

|____________________________

1 2 3 4 5 6 7 8 9 10

The shaded region below and to the left of the diagonal line represents the solution set to the inequalities, because it includes all the points where Chris can buy at least 7 bags of popcorn and stay within his budget.

Finally, we can plot the given points and identify which ones are part of the solution set:

(3, 7) is not part of the solution set because it is above the diagonal line.

(2, 2) is part of the solution set because it is below and to the left of the diagonal line.

(8, 1) is not part of the solution set because it is above the diagonal line.

(10, 2) is not part of the solution set because it is above the diagonal line.

(5, 5) is part of the solution set because it is below and to the left of the diagonal line.

Therefore, the solution set consists of the points (2, 2) and (5, 5).

Answer:

NO

Step-by-step explanation:

We can see that the denominator 7, multiplied by 4 = 28

But 3 multiplied by 4 is not 8

The proper fraction would be 12/28

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

I believe it is 0.12 repeating  

Step-by-step explanation:

Am I right

The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

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54.976 minutes needed for the liquid to cool from 67°F to 58°F in a 27°F freezer.

Newton's Law of Cooling states that the rate of change of temperature of an object is proportional to the difference between the object's temperature and the ambient temperature. We can use this law to solve the given problem.

Let's denote:

T(t) as the temperature of the liquid at time t,

A as the ambient temperature (in this case, 27°F),

T0 as the initial temperature of the liquid (in this case, 67°F).

Using Newton's Law of Cooling, we have the following equation:

\(T(t) = A + (T_0 - A) \times e^{(-kt)}\)

We are given the following information:

T₀ = 67∘F (initial temperature),

T(55) = 58∘F (final temperature),

A = 27∘F (ambient temperature).

We need to find the value of t when T(t) = 58∘F.

Substituting the known values into the equation, we get:

\(58 = 27 + (67 - 27) \times e^{(-k \times t)}.\)

Simplifying the equation further:

\(31 = 40 \times e^{(-k \times t)}\)

Dividing both sides by 40:

\(\frac{31}{40} = e^{(-k \times t)}.\)

Taking the natural logarithm of both sides:

ln(31/40) = -k × t.

Solving for t:

t = -ln(31/40) / k.

Now, we need to find the value of k. We can use the given information that the temperature decreased from 65°F to 54°F in 55 minutes.

Using the same equation and the known values:

\(54 = 27 + (65 - 27) \times e^{(-k \times 55)}\)

Simplifying:

\(27 = 38 \times e^{(-55k)}\)

Dividing both sides by 38:

\(\frac{27}{38} = e^{(-55k)}\)

Taking the natural logarithm of both sides:

ln(27/38) = -55k.

Solving for k:

k = -ln(27/38) / 55.

Now, we can substitute the value of k into the equation we obtained earlier for t:

t = -ln(31/40) / (-ln(27/38) / 55).

First, let's evaluate the natural logarithms:

ln(31/40) ≈ -0.244644

ln(27/38) ≈ -0.245279

Next, substitute these values back into the expression:

t = -(-0.244644) / (-(-0.245279) / 55)

Simplifying further:

t = 0.244644 / (0.245279 / 55)

Dividing 0.244644 by 0.245279:

t ≈ 54.976 min

Therefore, based on the given parameters and the rounded calculation and by using Newton's Law of Cooling the number of minutes for the liquid to cool from 67∘F to 58∘F in a 27∘F freezer is 54.976 minutes.

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Complete Question:

Suppose the temperature of a liquid decreases from 65°F to 54°F after being placed in a 30°F freezer for 55 minutes.

Use Newtons Law of Cooling,

T = A + (T0−A) e−kt,

T=A+(T0−A)e−kt,

To find the number of minutes needed for the liquid to cool from 67°F to 58°F in a 27°F freezer.

[Hint: Round the kk-value to the nearest ten thousandth.]

Answer:

81

Step-by-step explanation:

The part of the drawing that shows information about scale, the date of the last revision, and the drawing number is the balloon framing.

Where is a drawing's scale often indicated?

What does balloon framing mean?

In contrast to platform framing, where each floor is framed independently, balloon framing uses studs (vertical members) that stretch the entire height of the building (often two storeys) from the foundation plate to the rafter plate.

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Answer:

m= -2/3

Step-by-step explanation:

-1-(-7) / -6 -3= -2/3

Answer:

m=-2/3

Step-by-step explanation:

m=y2-y1/x2-x1

m=-1-(-7)/-6-3

m=-1+7/-6-3

m=6/-9

m=-2/3

Answer:

b good luck with the answer

To solve a system of linear equations without graphing, you can use the substitution method.

How do you solve a system of equations without graphing?

To solve a system of linear equations without graphing, you can use the substitution method. This method works by solving one of the linear equations for one of the variables, then substituting this value for the same variable in the other linear equation and solving for the other variable.

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Answer:

$7.20

Step-by-step explanation:

3/5=0.6

0.6*12=7.20

Answer:

$7.20

Step-by-step explanation:

3/5= .60

.60 cents per sticker

.60 * 12 stickers =$7.20

Given:

A stock is worth $19,500 and grows 7% in one day.

The increase of one day =

So, the new value =

So, the answer will be the new value = $20,865

Answer:

{(5,0),(0,5),(-5,-5)}

Step-by-step explanation:

Since the base case holds and the induction step is valid, by mathematical induction, the number 2²ⁿ2²ⁿ⁻¹ 1 can be expressed as the product of at least n prime factors, not necessarily distinct.

To prove that the number

2²ⁿ2²ⁿ⁻¹ 1

can be expressed as the product of at least $n$ prime factors, not necessarily distinct, we can use mathematical induction.
First, let's consider the base case where n = 1.

In this case, the number is

2² 2²⁺¹⁻¹ 1 = 2² 2¹ 1 = 8.

As 8 can be expressed as 2 times 2 times 2, which is the product of 3 prime factors, the base case holds.
Now, let's assume that for some positive integer k,

the number

$2²ˣ 2²ˣ⁻¹1

can be expressed as the product of at least k prime factors.
For

n = k + 1,

we have

2²ˣ⁺¹ 2²ˣ⁺¹⁻¹ 1

= 2²ˣ⁺¹ 2²ˣ 1

= (2²ˣ 2²ˣ⁻¹1)^2.

By our assumption,

2²ˣ 2²ˣ⁻¹ 1

can be expressed as the product of at least k prime factors. Squaring this expression will double the number of prime factors, giving us at least 2k prime factors.
Since the base case holds and the induction step is valid, by mathematical induction, we have proven that the number 2²ⁿ 2²ⁿ⁻¹ 1 can be expressed as the product of at least n prime factors, not necessarily distinct.

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Answer:

Option C II and III  is the right choice.

Step-by-step explanation:

The statement or statements that accurately represent possible effects of a long-term credit purchase on your credit score are :

II. Making only minimum payments for an extended time can hurt your score. (prolonged debt accumulation can lower credit scores)

III. Regularly paying off a credit balance can boost your score

please mark me brainliest i need one more to become and expert!!

Answer:

option c

Step-by-step explanation:

just took the test

The graph of the function is shown below:

a)

From the graph we notice that the vertex of the function is at the point:

b)

From the graph we notice that the axis of the function is the line:

C)

Since this is a polynomial its domain is all the real numbers, that is:

d)

From the graph we notice that the range is:

e)

The graph is increasing in the interval:

f)

The graph is decreasing in the interval:

A number system is a systematic method for representing numbers using symbols or numerals.

700 hundreds 12 tens 15 ones can be written in standard form as 71,215.

A number system is a systematic method for representing numbers using symbols or numerals. The most widely used number system is the decimal system, which uses the digits 0 to 9 to represent numbers. Other number systems include binary, octal, and hexadecimal.

The number 700 hundreds 12 tens 15 ones is a representation of a number in words. It can be converted to the standard form by multiplying each digit by its place value and adding them up.

7 × 100 = 7001 × 10

= 120 × 1

= 5

Therefore, 700 hundreds 12 tens 15 ones is equal to 71,215.

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Domain = x values; Range = y values

1) Domain: [0,6] Range: [-3,3]

2) Domain: (-infinity, infinity) Range: [-1, infinity)

3) Domain: [-2, 5] Range: [-2, 1]

4) Domain: (-infinity, 4] Range: (-infinity, infinity)

5) Domain: [-3, 3] Range: [-4, 4]

6) Domain: (-infinity, 4] Range: (-infinity, infinity)

The required exponential expression is 9⁵ for the numerical expression 9⋅9⋅9⋅9⋅9.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

"9⁵," or "nine to the fifth power is respectable because we have multiplied the number "9" by itself "five times."

Hence, the value is equal to:    

⇒ 9⋅9⋅9⋅9⋅9 is equal to:  " 9⁵ " ;  

that is, "nine to the fifth power"  or "nine to the power of "five" ;

Thus, the required exponential expression is 9⁵ for the numerical expression 9⋅9⋅9⋅9⋅9.

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Answer:

The value of r is 105

Step-by-step explanation:

Quadratic equation helps us to solve any quadratic equation. The formula is:

(-b ± √b² - 4ac) ÷ 2a

For the quadratic equation ax²+bx+c

For the equation: X² - 9x - 6:

a = 1, b = -9 and c = -6

Replacing in the quadratic formula:

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

Answer:

105 is right

Step-by-step explanation:

I took the test

the perimeter of the kite:

20+20+33+33=106mm

Given:

The arrow diagram of a relation.

To find:

Whether the given relation is a function or not.

Solution:

A relation is a called a function it there exist a unique y-value or unique output value for each x-value or input value.

From the given arrow diagram it is clear that y=2 and y=-1 for x=-1.

Since we have more than one value of y at x=-1, therefore, the given relation is not a function.

Hence, the correct option is B.

The experimental probability that the next time Audra rolls the number cube, she will roll a 2 is 3/22.

Experimental probability is the ratio of the number of times an event occurs to the total number of trials conducted. In this case, we want to find the experimental probability of rolling a 2.

Looking at the data provided, we can see that Audra rolled a 2 three times out of the total 22 rolls. So, the experimental probability of rolling a 2 can be calculated as:

Experimental probability = number of times the event occurred / total number of trials

Experimental probability of rolling a 2 = 3 / 22

Therefore, the correct option is (B) 3/22. This means that based on Audra's experiment, the probability of rolling a 2 is approximately 0.136 or 13.6%. It is important to note that this is the experimental probability based on a small sample size, and the actual probability of rolling a 2 in a large number of rolls may differ.

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Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

A survey of 600 students yielded the following information: 129 were seniors, 249 were commuters, and 68 were seniors and commuters.

The answer provided below has been developed in a clear step by step manner.

Step: 1

Total number of students are 600

n(T) = 600

The number of seniors are:

n(S) = 129

The total number of commuters are:

n(C) = 249

The total number of seniors and commuters are:

n(S∩C) = 68

Total number of seniors or commuters is:

n(S∪C) = n(S)+n(C) - n(S∩C)

n(S∪C) = 129+249-68

            = 310

Explanation:

The given information has been shown as.

Step: 2

Calculate the total value of n(S∪C):

So the total number of seniors and commuters are 310.

Now we have to calculate the students who are neither seniors nor commuters are:

Total students - n(S∪C)

S∪C = 600 - 310

        = 290

Hence the students that are neither senior nor commuters are 290.

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