Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48

Answer:

25) -76

26) -23

27) 21

28) 8

Step-by-step explanation:

25) (-32)-44=-32-44=-76

26) (-12)+(-11)=-12-11=-23

27) 2+15+4=17+4=21

28) 16+(-13)+5=16-13+5=3+5=8

Step-by-step explanation:

Hope it helps u mate

plz mark it as brainlist

Answer:

The last option y<4. Y is less than 4 since the shaded region is below 4 on the y Axis.

Answer: D  y <4

Step-by-step explanation:

The line is horizontally passing through the 4 which is the y intercept and all the solutions are less than 4.

Answer:

not 100% but i think x may be 23.5

Step-by-step explanation:

The values of (x+8) and (2x-5) are 35 and 49 respectively.

A triangle is defined as a two-dimensional shape with three sides, three interior angles, and three vertices.

Given a triangle, ABC

We have,

(x+8)/10 = (2x-5)/14

7x+56 = 10x-25

3x = 81

x = 27

X+8 = 35

2x-5 = 49

Hence, The values of (x+8) and (2x-5) are 35 and 49 respectively.

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Answer:

the answer is A.

Step-by-step explanation:

for every time you move over one in the x axis you move down 5 on the y axis

Answer:

16/9

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Exponents

(-3)² = 9

(-9/4)² = 81/16

9/81/16

Step 2: KCF (Keep Change Flip)

9(16/81)

144/81

Step 3: Simplify

144/9 = 16

81/9 = 9

16/9

Answer:

1/2

Step-by-step explanation:

The value of the given expression is 1 / √3.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

The given values are  cos60=sin30=1/2 and cos30=sin60=√3/2.

Divide sin30 and cos30,

[tex]\dfrac{sin30}{cos30}=tan30 = \dfrac{\dfrac{1}{2}}{\dfrac{2}{\sqrt{3}}}=\dfrac{1}{\sqrt{3}}[/tex]

Divide sin60 and cos60.

[tex]\dfrac{sin60}{cos60}=tan60 = \dfrac{\dfrac{2}{\sqrt{3}}}{\dfrac{1}{2}}= \sqrt3[/tex]

The value of the expression is.

[tex]\dfrac{ tan60-1}{1-tan30}=\dfrac{\sqrt{3}-1}{\sqrt{3}-1}}\times \dfrac{1}{\sqrt{3}}=\dfrac{1}{\sqrt{3}}[/tex]

Therefore, the value of the given expression is 1 / √3.

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Answer:

g(x)= (x +1)^2 -2

Step-by-step explanation:

Answer:

w = 15

Step-by-step explanation:

5      

        x   ___w___  =      3 x  5

                   5

w = 15

Hi there! Hopefully this helps!

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[tex]\frac{w}{5} = 3[/tex]

Multiply both sides by 5.

[tex]w = 3 \times 5[/tex]

Answer:

The answer is

4.1 units

Step-by-step explanation:

The distance between two points can be found using the formula

where

( x1 , y1) and ( x2 , y2) are the points

From the question

The points are (6, -1) and (5, 3)

The distance between the points is

= 4.123105

We have the final answer as

Hope this helps you

Answer:

1 - p

Step-by-step explanation:

So the answer is:

Answer:

1-p

Step-by-step explanation:

I took the test and this was the answer.

Answer:

Attachment 1 : Option A,

Attachment 2 : Option D,

Attachment 3 : Option B,

Attachment 4 : Instantaneous rate of change will be 24

Step-by-step explanation:

"Remember that we can solve such questions by finding the derivative first"

1 : Let's consider this approach a bit differently. If we were to graph this function, we would see that the point (-2,26) would lie on the curve having a negative slope.

The rate of change would thus be negative, eliminating choices b and d. And, the slope of this function would be much greater than 4 due to the coefficient of " 5 " in f(x) = 5x² + 6. Hence our answer will be option a.

2 : f'(5) = - 2 * 5 + 4,

f'(5) = - 10 + 4 = - 6

Your solution is option d.

3 : f'(2) = 12 / 2 + 1 / - 3,

f'(2) = 12 / 3 / - 3 = 4 / - 3,

f'(2) = - 4 / 3

Your solution is option b.

4 : Here again we can apply the power rule, where using constant multiple rule and derivative of a constant, you can quickly find the derivative of  g .

g'(t) = 3(2x¹) + 0 = 6t,

And now we can evaluate the derivative at that value of  t.

g'(4) = 6(4) = 24 - hence the instantaneous rate of change at t = 4, will be 24

Answer:

x = 30/7 , y = 46/7 , z = 48/7

Step-by-step explanation:

Solve the following system:

{2 x + 3 y - z = 5 x | (equation 1)

2 z - 3 y = -6 | (equation 2)

3 x + y - 4 z = -8 | (equation 3)

Express the system in standard form:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x - 3 y + 2 z = -6 | (equation 2)

3 x + y - 4 z = -8 | (equation 3)

Add equation 1 to equation 3:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x - 3 y + 2 z = -6 | (equation 2)

0 x+4 y - 5 z = -8 | (equation 3)

Swap equation 2 with equation 3:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y - 5 z = -8 | (equation 2)

0 x - 3 y + 2 z = -6 | (equation 3)

Add 3/4 × (equation 2) to equation 3:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y - 5 z = -8 | (equation 2)

0 x+0 y - (7 z)/4 = -12 | (equation 3)

Multiply equation 3 by -4:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y - 5 z = -8 | (equation 2)

0 x+0 y+7 z = 48 | (equation 3)

Divide equation 3 by 7:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y - 5 z = -8 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Add 5 × (equation 3) to equation 2:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y+0 z = 184/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Divide equation 2 by 4:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+y+0 z = 46/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Subtract 3 × (equation 2) from equation 1:

{-(3 x) + 0 y - z = -138/7 | (equation 1)

0 x+y+0 z = 46/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Add equation 3 to equation 1:

{-(3 x)+0 y+0 z = -90/7 | (equation 1)

0 x+y+0 z = 46/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Divide equation 1 by -3:

{x+0 y+0 z = 30/7 | (equation 1)

0 x+y+0 z = 46/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Collect results:

Answer: {x = 30/7 , y = 46/7 , z = 48/7

Answer: There are 1000 different passwords.

Step-by-step explanation:

Given: A password contains three digits.

Number of digits from 0 to 9  = 10

Using fundamental principle of counting,

The number of different passwords = (Number of choices for digits) x (Number of choices for digits)  x (Number of choices for digits)

= (10) x (10)x (10)

=1000

Hence, there are 1000 different passwords.

Answer:

81 / 1024

Step-by-step explanation:

First, let's find the total number of ways that Nancy can choose random choices for the questions. This would be 4 * 4 * 4 * 4 * 4 = 4⁵ = 1024 because there are 4 choices and 5 questions. In order for first question she gets right to be the 5th question, she has to get the first 4 questions wrong. Therefore, since there are 4 choices for each question and only 1 of them is right, she has 4 - 1 = 3 options for the first 4 questions and only 1 option for the 5th one, so the total number of "successful" ways Nancy can do this would be 3 * 3 * 3 * 3 * 1 = 81. Therefore, the probability is 81 / 1024.

Answer:

parameter

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

(10)

The data set is:

S = {124, 94, 129, 109, 114}

The mean and standard deviation are:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{5}\times [124+94+...+114]=114\\\\s=\sqrt{\frac{1}{n-1}\sum ( x-\bar x)^{2}}[/tex]

  [tex]=\sqrt{\frac{1}{5-1}\times [(124-114)^{2}+(94-114)^{2}+...+(114-114)^{2}]}\\=\sqrt{\frac{750}{4}}\\=13.6931\\\approx 13.69[/tex]

The correct option is B.

(11)

According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.

So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.

The correct option is B.

(12)

Let the score be X.

Given:

μ = 100

σ = 26

[tex]X=\mu-2\sigma[/tex]

    [tex]=100-(2\times 26)\\=100-52\\=48[/tex]

The correct option is B.

(13)

Let X be the prices of a certain model of new homes.

Given: [tex]X\sim N(150000, 2300^{2})[/tex]

Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:

[tex]P(147700<X<152300)=P(\frac{147700-150000}{2300}<\frac{X-\mu}{\sigma}<\frac{152300-150000}{2300})[/tex]

                                         [tex]=P(-1<Z<1)\\=0.68\\[/tex]                                        

According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.

The correct option is D.

(14)

Compute the percentage of buyers who paid more than $154,800 as follows:

[tex]P(X>154800)=P(\frac{X-\mu}{\sigma}>\frac{154800-150000}{2400})[/tex]

                                         [tex]=P(Z>2)\\=0.975\\[/tex]

According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.

The correct option is D.

(15)

The z-score is given as follows:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The  95% confidence interval is  [tex]-0.00870 <p_1 -p_2 < -0.007297[/tex]

Step-by-step explanation:

From the question we are told that

     The first sample  size  is  [tex]n_1 = 1068000[/tex]

     The first proportion  [tex]\r p_1 = 0.084[/tex]

     The second  sample size is  [tex]n_2 = 1476000[/tex]

     The  second  proportion is  [tex]\r p_2 = 0.092[/tex]

Given that the confidence level is  95%  then the level of significance is mathematically represented as

      [tex]\alpha = (100 - 95)\%[/tex]

     [tex]\alpha = 0.05[/tex]

From the normal distribution table  we obtain the critical value of  [tex]\frac{ \alpha }{2}[/tex]  the value is  

      [tex]Z_{\frac{\alpha }{2} } =z_c= 1.96[/tex]

Now using the formula from the question to construct the 95% confidence interval we have  

  [tex](\r p_1 - \r p_2 )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} } <p_1 -p_2 < (\r p_1 - \r p_2 )+ z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }[/tex]

Here [tex]\r q_1 = 1 - \r p_1[/tex]

  =>   [tex]\r q_1 = 1 - 0.084[/tex]

 =>    [tex]\r q = 0.916[/tex]

and  

   [tex]\r q_2 = 1 - \r p_2[/tex]

 =>   [tex]\r q_2 = 1 - 0.092[/tex]

=>   [tex]\r q_2 = 0.908[/tex]

So  

 [tex](0.084 - 0.092 )- (1.96)* \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} } <p_1 -p_2 < (0.084 - 0.092 )+ (1.96)* \sqrt{ \frac{0.084* 0.916 }{1068000} + \frac{0.092* 0.908 }{1476000} }[/tex]

  [tex]-0.00870 <p_1 -p_2 < -0.007297[/tex]

Answer:  12) 34°     13) 90°

Step-by-step explanation:

[tex]\text{Law of Sines:}\quad \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

12) Given: a = 10.2,  b = 6.8, A = 122°

[tex]\dfrac{\sin 122^o}{10.2}=\dfrac{\sin B}{6.8}\\\\\\\dfrac{6.8\sin 122^o}{10.2}=\sin B\\\\\\\sin^{-1}\bigg(\dfrac{6.8\sin 122^o}{10.2}\bigg)=B\\\\\\34.4^o=B[/tex]

*****************************************************************************

Law of Cosines: a² = b² + c² - 2bc · cos A

Note: The letters can be swapped

13) Given: a = 3,  b = 4,  c = 5, C = ???

3² = 4² + 5² - 2(4)(5) · cos C

9  = 16 + 25 - 40 cos C

9 = 41 - 40 cos C

-32 = -40 cos C

0.8 = cos C

90° = C

The perimeter of a triangle is 60 units if the right triangle has the vertices (-7, 9), (3, 9), (-7, -15).

The perimeter calculation has various practical uses. A calculated perimeter is the length of fencing required to encircle a yard or garden. The circumference (perimeter) of a wheel/circle specifies how far it will roll in one revolution.

If the lengths of the triangle's sides are a, b, and c, the perimeter is the sum of their lengths:

P = a + b + c

The distance formula can be used to calculate any of the side lengths. However, because two of the sides are parallel to the axes, their lengths may be simply calculated by subtracting coordinates.

If the points are designated A, B, and C in that sequence, the two right-angle sides are as follows:

c = AB

= 3 -(-7)

= 10

b = AC

= 9 -(-15)

= 24

The Pythagorean theorem states that the third side of the relation can be found:

a² = b² +c²

a² = 10² +24² = 676

a=√676

a= 26

Now we can plug these numbers into the perimeter formula:

P = a + b + c = 26 + 24 + 10

P = 60

As a result, the perimeter of a triangle is 60 units.

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Answer:

671/1296

The probability of rolling at least one six is therefore 1 − 625/1296 = 671/1296 ≈ . 517.

Step-by-step explanation:

Answer:

671/1296

Step-by-step explanation:

Answer:

we know,

1 megaton=1000kg

100 megaton=100000

now,

total weight=100000+234

=100234.

Answer:

Heptagon: D

Spetagon: D

Nonagon: B

Answer:

The cost of a chicken shawarma wrap is $10.99 and the cost of one order of spiced potatoes is $4.99.

Step-by-step explanation:

X denotes the cost of a chicken shawarma wrap and Y denotes the cost of an order of spiced potatoes.

From the provided information we can form two equations for the total price paid by Ms. Ironperson and Mr. Thoro.

[tex]3x+2y=42.95...(i)\\5x+4y=74.91...(ii)[/tex]

Multiply (i) by 4 and (ii) by 2 and subtract the two resulting equations:

[tex]3x+2y=42.95\ \ \ ]\times 4\\5x+4y=74.91\ \ \ ]\times2\\\\\Rightarrow\\\\12x+8y=171.80\\10x+8y=149.82\\\\\text{subtract}\\\\2x=21.98\\\\x=10.99[/tex]

Substitute x = 10.99 in (i) and solve for y as follows:

[tex]3x+2y=42.95\\\\(3\times 10.99)+2y=42.95\\\\2y=9.98\\\\y=4.99[/tex]

Thus, the cost of a chicken shawarma wrap is $10.99 and the cost of one order of spiced potatoes is $4.99.

Answer:

No, they are not perpendicular

Step-by-step explanation:

Perpendicular lines will have opposite reciprocal slopes, meaning that the slopes will have opposite signs and be the reciprocals of each other.

We can see that the slopes of the lines are not opposite reciprocals.

4 and 1/4 are not opposite reciprocals because they do not have opposite signs.

Answer:

0.1198 < p < 0.1802

Step-by-step explanation:

Percentage who had, or intended to cheat (p) = 15% = 0.15.

1 - p = 1 - 0.15 = 0.85

Confidence interval = 95%, z = 1.96 = 2

number of observation= 560

p ± z * √(p * (1 -p)/n)

Lower limit:

0.15 - 2 * √0.15 * 0.85/560

0.15 - 0.0301780 = 0.119822

= 0.1198

Upper limit:

0.15 + 2 * √0.15 * 0.85/560

0.15 + 0.0301780 = 0.180178

= 0.1802

0.1198 < p < 0.1802

Answer:

Step-by-step explanation:

'3s' represents 'three times Sydney's age.'

Answer:

three times Sydney's age

Step-by-step explanation:

i took a test on this

Answer:

B: -6+2i

Step-by-step explanation: