Justin solved 15 problems of the recent math quiz. His classmate Jordan solved 3 more problems than Justin. Another classmate of Justin, Jeremy also solved some problems and they all together solved 37 problems. Who solved the most number of problems?

Answer:

Step-by-step explanation:

To solve for x we use sine

sin ∅ = opposite / hypotenuse

From the question

38 is the hypotenuse

20 is the opposite

So we have

sin x = 20/38

sin x = 10/19

x = sin-¹ 10/19

x = 31.75

Hope this helps you

Answer:

b

Step-by-step explanation:

30/3x=10

T_11

Expect_6 phones

This is a permutation problem

Therefore 11p6= 11!/(11-6)! = (5!*6*7*8*9*10*11)/5! = 6*7*8*9*10*11 (ANSWER)

Answer:

one group

Step-by-step explanation:

there is only one group of six people in the office since the office only has 11 people.

This question is incomplete because the options are missing; here is the question statement and options:

To improve the logical flow of the paragraph, the best place to move sentence 7 is before

A. Sentence 1.

B. Sentence 3.

C. Sentence 5.

D. Sentence 6.

The correct answer is B. Sentence 3

Explanation:

The paragraph develops an argument through different sections. This includes the thesis statement "schools should switch from using paper textbooks to using computer tablets", reasons and evidence that support this thesis, the explanation of one counterclaim, and finally, reasons to disprove the counterclaim and confirm the claim.

In the case of sentence 7 "Many experts agree that switching to tablets is  important for the future of education" this provides a reason that supports the argument and due to this, it is more appropriate this sentence is placed after the thesis and before the counterclaim "Opponents argue that tablets ...".

In this context, this sentence should be placed before sentence 3 that belongs to the evidence provided to support the claim. Moreover, sentence 7 would appropriately introduce sentence 3 as they are both related to the opinion of experts about this issue.

The 7th sentence can be placed before the first, third, and fifth.

The process of making an important decision is known as decision making.

Given

7 statement is there.

To find the position of the 7th sentence.

7th sentence can be placed before the first because it seems that the conversation is starting.

7th sentence can be placed before the third because you can say as an update will be done by  Federal Communications Commission.

7th sentence can be placed before the fifth because the secretary wants to implement it in his system due to its regular update.

Thus, the 7th sentence can be placed before the first, third, and fifth.

More about the decision-making link is given below.

https://brainly.com/question/3369578

Answer:

3

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

15/7 is about 2.14 which is less than 3

Answer:

W(-4, 2) and X(2, 2)

Step-by-step explanation:

The vertices of the parallelogram are:W(-4, 2), X(2, 2), Y(3, -1), and Z(-3, -1).

The side WX is the segment that starts at W and ends at X.

Therefore, the coordinates of the endpoints of side WX are W(-4, 2) and X(2, 2) respectively.

Answer:

Ending inventory cost= $56,700

Step-by-step explanation:

Giving the following information:

Production costs (19,900 units):

Direct materials $172,700

Direct labor 221,400

Variable factory overhead 265,400

Fixed factory overhead 92,800

Total= $752,300

The absorption costing method includes all costs related to production, both fixed and variable. The unit product cost is calculated using direct material, direct labor, and total unitary manufacturing overhead.

Total unitary production cost= 752,300/19,900= $37.80

Units in ending inventory= 1,500

Ending inventory cost= 1,500*37.8

Ending inventory cost= $56,700

Answer:

The sales for the store 7 days after the end of the advertising campaign is  

          [tex]G_7 =[/tex]$3849.74

Step-by-step explanation:

From the question we are told that

    The daily sales on the end of campaign day is  [tex]G_o[/tex] =  $8,500

     The  daily sales three days after end of campaign day is  [tex]G_3[/tex] = $ 5,100

     The  usual day sales of the store is [tex]G_u[/tex]  =  $ 3,500

Generally the Newton's Law of Cooling (Heating). equation is  mathematically represented as

         [tex]G_t = G_u+ [(G_o -S_u ) * e^{-(k*t)}][/tex]

Here t is the number of day after the campaign ended

Now substituting values to obtain the constant k

For  t =  3

         [tex]G_3 = G_u + [(G_o -S_u ) * e^{-(k*3)}][/tex]

          [tex]5100 = 3500 [(8500 -3500 ) * e^{-(k*3)}][/tex]

         [tex]e^{-(k*3)} = 0.32[/tex]

=>     [tex]-3k = ln (0.6)[/tex]

=>      [tex]-3k = -1.1394[/tex]

=>        [tex]k = 0.380[/tex]

So at  t =  7

     [tex]G_7 = G_u + [(G_o -S_u )] * e^{-(k*7)}[/tex]

substituting values

    [tex]G_7 = 3500 + [(8500 -3500 )] * e^{-(0.3780*7)}[/tex]

    [tex]G_7 =[/tex]$3849.74

Answer:

[tex]y = 4x-3[/tex]

Step-by-step explanation:

The coordinates are (-0.5,-5) and (2,5)

Finding the slope, m:

=> Slope = [tex]\frac{rise}{run}[/tex]

=> Slope = [tex]\frac{5+5}{2+0.5}[/tex]

=> Slope = [tex]\frac{10}{2.5}[/tex]

=> Slope = 4

Now, y-intercept, b:

Taking any of the two coordinate and putting it in the slope intercept equation:

=> Point = (x,y) = (2,5)

So, x = 2, y = 5

=> [tex]y = mx+b[/tex]

=> 5 = (4)(2) + b

=> 5 = 8 + b

=> b = 5-8

=> b = -3

Now, Putting in slope intercept equation:

=> [tex]y = mx+b[/tex]

=> [tex]y = 4x-3[/tex]

Gradient (m) = x2-x1

y2-y1

considering

y1 = -5 y2 = 5

x1 = -0.5. x2 = 2

m = 2-(-0.5)

5-(-5)

m = 5.5

10

m = 11. = 0.55

20

equation of a line is given by

y-y1 = m+(x-x1)

y-(-5) =0.55 + {x-(-0.5)}

y+5 = 0.55 + x+0.5

making y the subject

y = 0.55 +0.5 -5 + x

y = -3.95 + x

Step-by-step explanation:

1) x - 5 = - 2

x = - 2 + 5

x = 3

2) - 6 + x = - 9

x = - 9 + 6

x = - 3.

3) x/4 = 6/8

Cross multiply

8x = 24

x = 24/8 = 3

4) - 14x = - 42

x = - 42/-14

x = 3

5) - 3/5 + x = 12/5

x = 12/5 + 3/5

x = 15/5 = 3

6) x/3 = 9

x / 3 - 9

x - 3

x = 3

The solution is shown below:

A  statement of equality between two expressions consisting of variables and/or numbers

x=3                                                             x≠3

1) x - 5 = - 2                                             2) - 6 + x = - 9

x = - 2 + 5                                                       x = - 9 + 6

x = 3                                                                x = - 3.

3) x/4 = 6/8                                                6) x/3 = 9  

x = 24                                                               x = 27

x = 24/8

x = 3

4) - 14x = - 42

x = - 42/-14

x = 3

5) - 3/5 + x = 12/5

x = 12/5 + 3/5

x = 15/5

x = 3

Learn more about equation here:

https://brainly.com/question/10413253

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Answer:

A

Step-by-step explanation:

Answer:

f(5) = 17

Step-by-step explanation:

Pretty easy :)

just pluggin f(5).

f(5) = 3(5) + 2

f(5) = 15+2

f(5) = 17.

:)

Answer:

8

Step-by-step explanation:

don't cheat sike i cheat

Answer: the real answer is c you can go to both places I gave you the answer in both

Step-by-step explanation:

Because I got it right please have a good day or night

Answer:

Hey there!

We have x+2y=5, and x-2y=5.

x+2y=5

x-2y=5

Add the x's to get 2x and the 2y's to get 0. Finally add the 5's to get 10.  

Thus, we have 2x+0=10, or 2x=10.

x=5

y=0

Hope this helps :)

Answer:

x=3,y=1

Step-by-step explanation:

x+2y = 5

x-2y = 1

Add the two equations together to eliminate y

x+2y = 5

x-2y = 1

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

2x +0y = 6

Divide by 2

2x/2 = 6/2

x = 3

Then solve for y

x+2y = 5

3 + 2y =5

2y = 5-3

2y = 2

Divide by 2

2y/2 = 2/2

y =1

x=3,y=1

Check

3+2(1) = 5

5=5

3-2(1)=1

1=1

Answer:  C) -98, -686, -4,802, -33,614

Step-by-step explanation:

There are 5 steps from -14 to -235,298.

First, let's find the ratio (r):

[tex]-14r^5=-235,298\\\\r^5=\dfrac{-235,298}{-14}\\\\r^5=16,807\\\\r=\sqrt[5]{16,807} \\\\r=7[/tex]

Next, multiply each term by r = 7

-14 x 7 = -98

             -98 x 7 = -686

                            -686 x 7 = -4,802

                                             -4,802 x 7 = -33,614

                                                                  -33,614 x 7 = -235,298 [tex]\checkmark[/tex]

Hey there! :)

Answer:

n = 12.

Step-by-step explanation:

Given:

5/6n = 10

Solve by isolating the variable. Divide both sides by 5/6. (Multiply by the reciprocal)

5/6n · 6/5 = 10 · 6/5

n = 10 · 6/5

n = 12.

Answer:

6n = 10 ×5

6n = 50

n = 50/6

n = 8.3

Answer:

Volume of the sphere= 113.112 cubic inch(Inch ³)

Step-by-step explanation:

First of all the formula for the volume of a sphere Is given as 4πr³

Already the radius r is already given as 3 inches

While π = 3.142

Volume of the sphere = 4/3πr³

Volume of the sphere = 4/3(3.142)(3)³

Volume of the sphere= 4/3(3.142)(27)

Volume of the sphere= 4/3(84.834)

Volume of the sphere= 339.336/3

Volume of the sphere= 113.112 Inch ³

Volume of the sphere= 113.112 cubic inch

Answer:

y = -49 x = 69

Step-by-step explanation:

make an equation

x+y=20 and x-y=118

then you can solve by elimination

x+y=20

x-y=118

=2x=138

x=69

69-y=118

-y=49

y=-49

Answer:

B) 0.894

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that [tex]\mu = 0.55[/tex]

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577[/tex]

[tex]P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894[/tex]

Answer:

<

Step-by-step explanation:

750,000,000 times 10^5 can be expressed as 7.5 times [tex]10^{11}[/tex]

7.55 times 10^13 is greater than 7.5 times 10^11.

Answer:

The appropriate sign that makes the statement true is <

Hope this helps you

Answer:

12 - 12

Step-by-step explanation:

Given

Initial Temperature (at 12 midnight) = 12 deg C

By 6am; Temperature has decreased by 12 deg C

Required

What expression represents the situation

Provided that there was a decrement in the temperature; the system will b represented by Initial Temperature minus Change in temperature

Expression = Initial Temperature - Change in Temperature

Expression = 12C - 12C

Solving further to get the actual temperature at 6

Final Temperature = 12C - 12C

Final Temperature = 0 C

Answer:

12-12

Step-by-step explanation:

Answer:

i-09 vhcgcdg hdc

Step-by-step explanation:

Answer:

82.25%

Step-by-step explanation:

95*0.2 + 80*0.2 + 75*0.45 + 90*0.15 = 82.25%

Answer:

(68.58,71.82)

Step-by-step explanation:

Answer:

The Empirical Rule

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

So the answer to this question is the Empirical Rule

Answer:

2x-2

Step-by-step explanation:

2(x-1)=

Distribute

2x* -2*1

2x-2

Answer:

[tex]2x - 2[/tex]

Solution,

[tex]2(x - 1) \\ = 2 \times x - 2 \times 1 \\ = 2x - 2[/tex]

hope this helps..

Answer:

4.1 calls

Step-by-step explanation:

The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:

[tex]c(s)=0.8s+0.29[/tex]

Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:

[tex]c(4.7)=0.8*4.7+0.29\\c(4.7)=4.05\ calls[/tex]

Rounding to the nearest tenth, Roger will get about 4.1 calls.