hellpppppp please I will give brainliest​

The possible equation for Nate's line is C) 6x - 5y = 15.

To find the equation of the line perpendicular to Maria's line, we need to determine the slope of Maria's line first.

Maria's line is represented by the equation:

y = -5/6 x + 8

The slope of this line can be determined by comparing it to the slope-intercept form of a linear equation (y = mx + b), where m is the slope. Thus, the slope of Maria's line is -5/6.

The slope of a line perpendicular to Maria's line will be the negative reciprocal of -5/6, which is 6/5.

Therefore, the equation of Nate's line could be in the form:

y = 6/5 x + b

where b is the y-intercept of Nate's line.

To determine which of the given answer choices is the equation of Nate's line, we can substitute the equation y = 6/5 x + b into each answer choice and see which one holds true.

A) 5x - 6y = 15

Substituting y = 6/5 x + b, we get:

5x - 6(6/5 x + b) = 15

5x - 36/5 x - 6b = 15

-11/5 x - 6b = 15

This equation is not equivalent to y = 6/5 x + b, so A is not the answer.

B) 5x + 6y = 15

Substituting y = 6/5 x + b, we get:

5x + 6(6/5 x + b) = 15

5x + 36/5 x + 6b = 15

46/5 x + 6b = 15

This equation is not equivalent to y = 6/5 x + b, so B is not the answer.

C) 6x - 5y = 15

Substituting y = 6/5 x + b, we get:

6x - 5(6/5 x + b) = 15

6x - 6x - 5b = 15

-5b = 15

b = -3

This equation is equivalent to y = 6/5 x - 3, so C could be the answer.

D) 6x + 5y = 15

Substituting y = 6/5 x + b, we get:

6x + 5(6/5 x + b) = 15

6x + 6x + 5b = 15

12x + 5b = 15

This equation is not equivalent to y = 6/5 x + b, so D is not the answer.

Therefore, the possible equation for Nate's line is C) 6x - 5y = 15.

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we find the probability corresponding to z = -0.4, which is 0.3446, and the probability corresponding to z = 0.5, which is 0.1915. To find the probability between these two values, we subtract the smaller probability from the larger one. So, p(-0.4 < z < 0.5) = 0.3446 - 0.1915 = 0.1531.

To answer these questions, we need to make a sketch of the normal distribution and use the unit normal tables to determine the appropriate probability.

1. p(z > 2.1)

First, we sketch the normal distribution and shade the area to the right of 2.1. This area represents the probability we are seeking.

Using the unit normal tables, we find the probability corresponding to z = 2.1, which is 0.4821. However, since we are looking for the probability to the right of 2.1, we need to subtract this value from 1 to get the correct probability. So, p(z > 2.1) = 1 - 0.4821 = 0.5179.

2. p(z > -3.4)

Again, we sketch the normal distribution and shade the area to the right of -3.4.

Using the unit normal tables, we find the probability corresponding to z = -3.4, which is 0.0003. However, since we are looking for the probability to the right of -3.4, we need to subtract this value from 1 to get the correct probability. So, p(z > -3.4) = 1 - 0.0003 = 0.9997.

3. p(z < 1.3)

This time, we sketch the normal distribution and shade the area to the left of 1.3.

Using the unit normal tables, we find the probability corresponding to z = 1.3, which is 0.4032. So, p(z < 1.3) = 0.4032.

4. p(0.9 < z < 1.9)

For this question, we sketch the normal distribution and shade the area between 0.9 and 1.9.

Using the unit normal tables, we find the probability corresponding to z = 0.9, which is 0.3159, and the probability corresponding to z = 1.9, which is 0.4713. To find the probability between these two values, we subtract the smaller probability from the larger one. So, p(0.9 < z < 1.9) = 0.4713 - 0.3159 = 0.1554.

5. p(-0.4 < z < 0.5)

Finally, we sketch the normal distribution and shade the area between -0.4 and 0.5.

Using the unit normal tables, we find the probability corresponding to z = -0.4, which is 0.3446, and the probability corresponding to z = 0.5, which is 0.1915. To find the probability between these two values, we subtract the smaller probability from the larger one. So, p(-0.4 < z < 0.5) = 0.3446 - 0.1915 = 0.1531.

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The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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Answer:

Step-by-step explanation:

Total population

Let handed population

Percentage of left handed population

Answer:

Step-by-step explanation:

estimated world population in 2011 = 7x10⁹

left handed = 682,000,000

find:

Approximately what percentage of the world population is left handed according to the 2011 estimation

percentage = left handed population

                            total population

                    =       682,000,000  

                           7,000,000,000

                    =     0.682

                            7.0

                    =  9.7 %

Answer:

90 minutos

Step-by-step explanation:

una hora es 60 minutos y media es 30 minutos.

Answer:

The radius is 2.46686837338 or simplified: 2.5.

Step-by-step explanation:

A = 60 so it would be √60/3.14 =2.46686837338

I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

It is concluded that no difference exists in the comprehension of the lab based on the test scores.

Step-by-step explanation:

Let the populations be normally distributed with a populations standard deviation of 5.32 points for both the text and visual illustrations.

The above statement tells us that the independent t or two sample t test will be performed as both have equal variances and are normally distributed.

This can be easily done through excel.

The following table is obtained

t-Test: Two-Sample Assuming Equal Variances  

                 Text                      Visual Illustrations

Mean          70.28                       75.08

Variance 304.48                     228.58

Observations 15                             15

Pooled Variance Sp²= 266.53

       Pooled Standard Deviation = Sp = 16.33

Hypothesized Mean Difference = x1`-x2`= 0

df = n1+n2-2= 15+15-2= 30-2= 28

t Stat -0.805188239

P(T<=t) two-tail 0.427495979                      

t Critical two-tail 1.701130908                              

Let the null and alternate hypotheses be

H0 : u1-u2= 0   against the claim Ha: u1-u2≠0

There is no difference between the means

against the claim

that there is a difference in means of a lab assignment among students depending on if the instructions are given all in text, or if they are given primarily with visual illustrations.

The significance level is ∝= 0.1

The d.f is n1+n2-2= 15+15-2= 30-2=28

This is a two tailed test and the critical region is t (0.025) (28) ≥ 1.7011 and  t (0.025) (28) ≤ - 1.7011.

The test statistic is

t= x1-x2/ Sp √1/n1+ 1/n2

t= 70.28 -75.08/ 16.33√1/15 +1/15

t= -4.8/5.963

t= -0.8049811  ( minute difference from excel result due to rounding)

Since the calculated value of t= -0.8049 does not fall in the critical region we conclude that there is no difference in means of a lab assignment among students depending on if the instructions are given all in text, or if they are given primarily with visual illustrations.

We accept the null hypothesis.

The p- value is 0.427495979.

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Parallel lines are equidistant lines that can never meet;

We have four lines in the figure above;

p is a transversal line;

k and l are parallel lines because they can never meet.

A.

Hence, the line parallel to line l is line k.

B.

Since, line l and line k are parallel lines, line k can be obtained by translating line l.

C.

Since line m is not as parallel as line l and line k, line p can be obtained by rotating line m.

Answer:

5 calories.

Step-by-step explanation:

We begin by calculating the rate at which Raquel burns calories while hiking.

This can be obtained as follow:

Calories burned = 225 calories

Time = 45 mins

Rate =?

In this case, the Rate is simply defined as calories per unit time. Mathematically, it is expressed as:

Rate = Calorie/time

With the above formula, we can obtain the rate at which Raquel burns calories as follow:

Calories burned = 225 calories

Time = 45 mins

Rate =?

Rate = Calorie/time

Rate = 225/45

Rate = 5 cal/min

Therefore, Raquel burns Calories at a rate of 5 cal/min.

Now, we shall determine the calories burned by Raquel in 1 minutes. This is illustrated below:

Rate = 5 cal/min

Time= 1 min

Calorie =.?

Rate = Calorie /time

5 = Calorie /1

Cross multiply

Calorie = 5 x 1

Calorie = 5

Therefore, Raquel burns 5 calories in 1 minute while hiking.

Given the bar graph shown in the exercise, you need to remember that the formula for calculating the Experimental Probability is:

In this case, since you need to find the Experimental Probability of rolling a 2 or 6, you can set up that:

According to the bar graph, the "Times rolled" that corresponds to 2 is 16, and the one that corresponds to 6 is 20 times rolled.

Notice that the sum of the values of "Times rolled" for all the numbers rolled, is:

Therefore, you can determine that:

Adding the fractions and simplifying, you get:

Hence, the answer is:

Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

For this exercise you need to use the following formula for calculate the volume of a cylinder:

Where "r" is the radius and "h" is the height of the cylinder.

In this case you can identify that:

You know that the diameter of the pool is 16 feet. Since the radius is half the diameter:

Knowing the radius and the height of the pool, you can substitute them into the formula and then you have to evaluate, in order to find the capacity of the swimming pool in cubic feet:

The answer is:

The nth square number of the value given is the squared value of 19, which is 361

The nth square number , S is related by the formula :

Given that , n = 19

The nth square number , where n = 19 can be calculated thus:

S = -19² = 361

S = (-19) * (-19)

S = 361

Therefore, the 19th square number is 361

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Answer:

36

Step-by-step explanation:

Area

\(A=\dfrac{b.h}{2}\)

\(A=2.\dfrac{6.6}{2} =36\ square\ units\)

Answer:

Either. They are both correct

Step-by-step explanation:

So 7+4(1-8p): 7+4-32p => 11-32p => -32p+11.

Answer:

11-32p

Step-by-step explanation:

The answer is 11-32p because your only distributing the 4 to the 1 and 8p.

The point charges placed 0.500 m apart are 10.4 nC and 43.9 nC. Then, the electric field halfway between these charges will be -4824 N/C.

The physical field that surrounds particles with an electrical charge is called an electric field. All other charged particles in the field are affected by it, either being attracted to it or being repelled by it.

The electric field because of a point charge q is written as \(E=\frac{kq}{r^2}\)

Positive point charges cause the electric field to point away from the point, whereas negative point charges cause the electric field to point in the direction of the point. Then, the electric field of the midpoint p in the diagram is written as,

\(\begin{aligned}E_p&=\mathrm{\frac{k(10.4\;nC)}{(0.25\;m)^2}-\frac{k(43.9\;nC)}{(0.25\;m)^2}}\\&=\mathrm{\frac{k(10.4-43.9)\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{\frac{9\times 10^9\;Nm^2/C^2\times 33.5\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{4824\;N/C}\end{aligned}\)

The required answer is -4824 N/C.

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Step-by-step explanation:

2×+6 + 5 = X+10

2x -x =10 -11

x= - I

BC = 2(-1) + 6=4

AC = -1+10 = 9

Note that a system of two linear inequalities in two variables is made up of at least two inequalities in the same variables.

Consider the following scenarios: highway speed restrictions, minimum credit card payments, the quantity of text messages you may send each month from your cell phone, and the time it will take to commute from home to school.

All of these may be expressed mathematically as inequalities. A linear inequality's solution is the ordered pair that is a resolution to all inequalities in the system, and the graph of the linear inequality is the graph of all system solutions.

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Answer:

Cassidy is 24 years old.

Step-by-step explanation:

Cassidy's current age : c=3d

Cassidy's age in 8 years : c+8

Drew's age : d

Drew's age in 8 years : d+8

c+8=2(d+8) and since c=3d then

3d+8=2(d+8)

3d+8=2d+16

d=8

so cassidy's age right now would be 3x8=24.

9514 1404 393

Answer:

  -(x -3)(x +7)

Step-by-step explanation:

Apparently, you're supposed to match the given expression with the parts of the identity ...

  (x + a)(x + b) = x² +(a +b) +ab

First of all, we notice that the sign of x² in our given expression is negative. So, we factor -1 out of the expression first.

  -x² -4x +21 = -(x² +4x -21)

Now, matching the coefficients of x, and the constant to those in our identity, we see ...

  a + b = 4 . . . . . coefficients of x

  ab = -21 . . . . . . constants

It is relatively easy to find the factors of -21. We are interested in those factor pairs such that the sum is positive:

  -21 = -1(21) = -3(7) = -7(3) . . . . at this point the sum -7+3 becomes negative

The factor pair a=-3, b=7 will satisfy ...

  a + b = -3 + 7 = 4

  ab = (-3)(7) = -21

So, our factorization is ...

  -x² -4x +21 = -(x² +4x -21) = -(x -3)(x +7)

Answer:

19

Step-by-step explanation:

Given:

\( \frac{b^7}{a^5c^6} \)

log a = 3,

log b = 4,

log c = -1

Required:

Numerical value of the log expression

SOLUTION:

To solve this, we need to recall the rules to apply in each step:

\( \frac{b^7}{a^5c^6} \)

Step 1: Apply log of quotients => i.e. \( log \frac{a}{b} = log(a) - log(b) \)

\( log(b^7) - (log(a^5c^6)) \)

Step 2: Apply log of products. i.e. log ab = log a + log b.

\( log(b^7) - (log(a^5) + log(c^6)) \)

Step 3: Apply log of exponents. i.e. \( log(a^n) = nlog(a) \).

\( 7log(b) - (5log(a) + 6log(c)) \)

Step 4: Substitute log a = 3, log b = 4, log c = -1, into the equation.

\( 7(4) - (5(3) + 6(-1)) \).

\( 28 - (15 - 6) \).

\( 28 - 9 \).

\( = 19 \).

The value of \(\rm{log\ 10^{19}\) is 19.

A log function is a way to find how much a number must be raised in order to get the desired number.

\(a^c=b\)

can be written as

\(\rm{log_ab=c\)

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.  

\(\rm{log\ 1000 = 3\)

log a = 3,

log b = 4,

log c = -1,

log a = 3

\(10^3 = a\\1000 = a\\a=1000\)

lob b = 4,

\(10^4=b\\10000=b\\b=10,000\)

log c = -1,

\(10^{-1} = c\\\\\dfrac{1}{10} = c\\\\c = 0.1\)

\(\rm{log\dfrac{b^7}{a^5c^6}\\\)

\(=\rm{log\dfrac{10,000^7}{1,000^5\times 0.1^6}\\\)

\(=\rm{log 10^{19}\)

Hence, the value of \(\rm{log\ 10^{19}\) is 19.

Step-by-step explanation:

SI=P×R×T/100

=90000×6×10(12)\100

=648000

amount=principal+simple interest

648000+90000

738000

Answer:

1/64

Step-by-step explanation:

F(3) means to use 3 in place of x in the given equation.

f(x) = (1/4)^x

f(3) = (1/4)^3

Either use exponents rules:

= 1^3 / 4^3

= 1 / 64

or just use the meaning of exponents

= 1/4 × 1/4 × 1/4

= 1/64

Answer:

line segment BC=line segment XY

Step-by-step explanation:

The last choice :)

The absolute value of x means that all negative values are transformed into positive values.

Graphing the absolute value function, we have:

Then, in order to graph the function g(x) = |x + 7|, let's first calculate some points that are solutions to this equation:

Graphing g(x), we have:

The transformation needed to graph g(x) from f(x) is a translation (horizontal shift) of 7 units left.

Therefore the correct option is D.

Answer: Translation up 5 units means g(x)=f(x)+5g(x)=f(x)+5. Reflecting this across the x-axis means g(x)=-(f(x)+5)g(x)=−(f(x)+5).

-(4x+5)=-4x-5

−(4x+5)=−4x−5

Step-by-step explanation:

Answer:

g(x) = -|x + 12|

Step-by-step explanation:

Translation to left ≡ f(x + 12)

f(x + 12) = | x + 12 |

Reflection of a function f(x) about the x - axis is keeping the x value same but negating the y values

Reflected f'(x) = -y = -f(x)

Taken together

g(x) = -(|x + 12|)

Answer:

We can start the problem by using the formula for the area of a rectangle:

Area = length x width

The total area of the pool and the walkway is given as 360 square feet. Let's assume that the width of the walkway is w feet. Then, the dimensions of the entire area can be represented as (8 + 2w) by (10 + 2w) feet, since there is an additional width of w feet on both sides of the pool. Therefore, we can set up the equation:

(8 + 2w) x (10 + 2w) = 360

Expanding the left side and simplifying, we get:

4w^2 + 36w - 80 = 0

We can solve for w using the quadratic formula:

w = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 4, b = 36, and c = -80. Substituting these values into the formula, we get:

w = (-36 ± sqrt(36^2 - 4(4)(-80))) / 8

w = (-36 ± sqrt(1872)) / 8

w ≈ -5.6 or w ≈ 3.6

Since the width cannot be negative, we can discard the first solution. Therefore, the width of the walkway should be approximately 3.6 feet.

Step-by-step explanation:

Answer:

We can start the problem by using the formula for the area of a rectangle:Area = length x widthThe total area of the pool and the walkway is given as 360 square feet. Let's assume that the width of the walkway is w feet. Then, the dimensions of the entire area can be represented as (8 + 2w) by (10 + 2w) feet, since there is an additional width of w feet on both sides of the pool. Therefore, we can set up the equation:(8 + 2w) x (10 + 2w) = 360 Expanding the left side and simplifying, we get:4w^2 + 36w - 80 = 0We can solve for w using the quadratic formula:w = (-b ± sqrt(b^2 - 4ac)) / 2aIn this case, a = 4, b = 36, and c = -80. Substituting these values into the formula, we get:w = (-36 ± sqrt(36^2 - 4(4)(-80))) / 8w = (-36 ± sqrt(1872)) / 8w ≈ -5.6 or w ≈ 3.6Since the width cannot be negative, we can discard the first solution. Therefore, the width of the walkway should be approximately 3.6 feet.

Step-by-step explanation:

The commission (in dollars) did he earn last month is 540$.

We have given

A salesman earns 6% commission on all the merchandise that he sells.

Last month he sold $9000 worth of merchandise.

Salesman earns 6% =6/100=0 .06

Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.

So we have to determine 6% of 9000

We can be written as

=0.06 x 9000,

= 540$

The commission (in dollars) did he earn last month is 540$.

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