In the triangle below, suppose that mZL=(x+3)°, mZ M=(5x-7)°, and m N= (2x).
Find the degree measure of each angle in the triangle.
N
(2x)
mL =
日。
х
M
(5x - 7).
m M =
•
•
mZN =
(x + 3)°

Step-by-step explanation:

* start by finding the gradient/ slope of the line using the two points*

after finding the gradient you can now use the formula/ equation of any straight line which is *y = m×x + c*

Answer:

True

Step-by-step explanation:

We need to verify whether 15 and 20 are the correct solution to the rule of "The difference between the 2 number is 5 and the number are in the ratio 3 : 4". Let's see,

First rule → The difference between the 2 numbers is 5

20 - 15 = 5 ⇒ Correct

Second rule → The numbers are in the ratio 3 : 4

15 : 20 ( ÷ 5 to both ratio's ) 3 : 4 ⇒ Correct

Answer:

please see the attached picture for full solution

hope it helps...

Good luck on your assignment..

(m,n) are chosen uniformly among all relatively prime pairs of integers up to N and then  N→∞

One thing is certain in this case: if m and n are prime numbers other than 2, we can be sure that they are relatively prime since (m, n) = 1. Additionally, since m + n is even, it is impossible for it to be a prime, and the probability in this situation is 0.

We require a sample space before we can discuss the probability of anything. To put it simply, we must comprehend how the relatively prime integers m and n came to be chosen. Questions concerning the likelihood that something will occur have no meaning if not.

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The question is wrong and stands no meaning, the possible question might be

Suppose positive integers m and n are relatively prime. What is the probability that (m + n) is a prime number?

Elle can buy maximum 0.6 liters of goat milk and 1.2 liters of cow's milk.

What System of linear inequalities?

A system of linear inequalities is similar to a system of linear equations, except that it is made up of inequalities rather than equations. To represent scenarios with various restrictions, systems of linear inequalities are utilized.

Let x be the number of liters of goat milk and y be the number of liters of cow's milk that Elle wants to buy. We know that:

x + y ≤ 80 (because Elle wants to spend at most Php80)

130x + 65y ≤ 80 (because each liter of goat milk costs Php130 and each liter of cow's milk costs Php65)

This is a system of linear inequalities, and the solution set is the set of all possible combinations of x and y that satisfy both inequalities.

The inequality 130x + 65y ≤ 80 represents a line in the plane, and the inequality x + y ≤ 80 represents a region that is "bounded" by this line.

The solution set for the inequalities are x <= 0.6 and y <= 1.2.

So, Elle can buy maximum 0.6 liters of goat milk and 1.2 liters of cow's milk.

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The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Answer:

-5

Step-by-step explanation:

11 x -5 = -55

-55 x -5 = 275

Answer:

i'm also trying to do this problem from delta math

Step-by-step explanation:

Answer:

x = 10.8

Step-by-step explanation:

9 ÷ x = x ÷ (9 + 4)

9 × (9 + 4) = x × x

9 × 13 = x²

117 = x²

x = 10.81665383

Answer:

that is x+ 1

Step-by-step explanation:

that's it easy peasy

Answer:

Step-by-step explanation:

A container with:

Use the equation for total surface area of cylinder:

Since we have r = h and the value of S is known, let's solve this equation:

at (-5√3, 0), we have another critical point.

To determine the nature of critical points for the function f(x, y) = x^2y + y^3 - 75y, we need to find the critical points by finding where the partial derivatives with respect to x and y are both zero.

Critical point at (0, 0):

Calculate the partial derivatives:

∂f/∂x = 2xy

∂f/∂y = x^2 + 3y^2 - 75

At (0, 0), both partial derivatives are zero:

∂f/∂x = 0 -> 2xy = 0 -> x = 0

∂f/∂y = 0 -> x^2 + 3y^2 - 75 = 0

Substituting x = 0 into the second equation:

0 + 3y^2 - 75 = 0

3y^2 = 75

y^2 = 25

y = ±5

Therefore, at (0, 0), we have a critical point.

Critical point at (0, -5):

Substituting x = 0 and y = -5 into the function:

f(0, -5) = (0)^2(-5) + (-5)^3 - 75(-5)

= 0 + (-125) + 375

= 250

Therefore, at (0, -5), we have another critical point.

Critical point at (5√3, 0):

Substituting x = 5√3 and y = 0 into the function:

f(5√3, 0) = (5√3)^2(0) + (0)^3 - 75(0)

= 0 + 0 + 0

= 0

Therefore, at (5√3, 0), we have another critical point.

Critical point at (0, 5):

Substituting x = 0 and y = 5 into the function:

f(0, 5) = (0)^2(5) + (5)^3 - 75(5)

= 0 + 125 + 375

= 500

Therefore, at (0, 5), we have another critical point.

Critical point at (-5√3, 0):

Substituting x = -5√3 and y = 0 into the function:

f(-5√3, 0) = (-5√3)^2(0) + (0)^3 - 75(0)

= 0 + 0 + 0

= 0

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The total Number of ways to select five students out of 11 boys and 18 girls will be=104642

We have, total number of boys = 11, while the total number of girls = 18

Let us assume that,

X = total number of boys chosen

As it is given,

P(X>=4)=1

-P(X<=3)

Where, P(at most 3 boys are chosen) needs to be found out

As we know,

Here, the total number of ways to get at most 3 boys= Number of ways to get three boys and two girls + number of ways to get one boy and four girls + Number of ways to get two boys and three girls + Number of ways to get zero boys and five girls

Making the combination as per above arrangements:

We will get it as:

=11C3*18C2+11C1*18C4+11C2*18C3+11C0*18C5

As we know,

The formula of combination is:

\($${ }_n C_r=\frac{n !}{r !(n-r) !}$$\)

\(${ }_n C_r=$\) number of combinations

n= total number of objects in the set

r= number of choosing objects from the set

So, applying the concept of combination in the above,

=11C3*18C2+11C1*18C4+11C2*18C3+11C0*18C5

\(= \frac{11!}{8! \times 3!} \times \frac{18!}{16! \times 2!}+\frac{11!}{9! \times 2!} \times \frac{18!}{15! \times 3!}+\frac{11!}{10! \times 1!} \times \frac{18!}{14! \times 4!}+\frac{11!}{11! \times 0!} \times \frac{18!}{13! \times 5!}\)

\([\frac{11 \times 10\times9\times8! }{8!\times 6} \times \frac{18\times17\times16!}{16!\times2}]+[\frac{11\times10\times9!}{9!\times2} \times \frac{18\times17\times16\times15!}{15!\times6}]+[\frac{11\times10!}{10!} \times \frac{18\times17\times16\times15\times14!}{14!\times24}]+[\frac{1}{1} \times \frac{18\times17\times16\times15\times14\times13!}{13!\times120}]\)

\(=(165 \times153)+(55\times816)+(11\times3060)+(1\times856.8)\)

=25245+44880+33660+856.8

=104641.8 = 104642 (approx)

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Answer: Has one real solution

Answer:

B. One Real solution

Step-by-step explanation:

edge 2021

Answer:

son 119 pasajeros por vieje y hace 4 viajes ,murtiplicas la cantidad de pasajeros por la cantidad de los viajes osea 119x4 el total seria:476 pasajeros

a) The nth derivative for f(x) = xⁿ is n!.

b) The nth derivative for expression f(x) is (-1)^(n+1) * n! / x^(n+1).

(a) f(x) = xⁿ:

To find the nth derivative of f(x) = xⁿ, we can start by calculating the first few derivatives and looking for a pattern:

f(x) = xⁿ

f'(x) = n x^(n-1)

f''(x) = n(n-1)x^(n-2)

f'''(x) = n(n-1)(n-2)x^(n-3)

...

From this pattern, we can observe that the nth derivative of f(x) is given by:

f ⁿ(x) = n(n-1)(n-2)...(n-(n-1)) x^(n-n)

f ⁿ(x) = n!

Therefore, the nth derivative of f(x) = xⁿ is n!.

(b) f(x) = 1/x:

To find the nth derivative of f(x) = 1/x, we can again start by calculating the first few derivatives and observing the pattern:

f(x) = 1/x

f'(x) = -1/x^2

f''(x) = 2/x^3

f'''(x) = -6/x^4

f''''(x) = 24/x^5

...

From this pattern, we can observe that the nth derivative of f(x) alternates between positive and negative values, and is given by:

f ⁿ(x) = (-1)^(n+1) * n! / x^(n+1)

Therefore, the nth derivative of f(x) = 1/x is (-1)^(n+1) * n! / x^(n+1).

In summary, to find the nth derivative of a function, we can start by calculating the first few derivatives and looking for a pattern. Once we have identified the pattern, we can use it to derive a formula for the nth derivative of the function.

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The value of a and b are 9 and 14 when the two triangle ΔJHK congruent to ΔTRS.

Given that,

We have two triangle. ΔJHK congruent to ΔTRS

We must evaluate what a and b are worth.

We know that,

In the picture we have two triangle

ΔJHK has ∠H = 51° and ∠K = 7b-15

ΔTRS has ∠S= 83° and ∠T = 6a-3

When all three corresponding sides are the same length and all three corresponding angles are the same size, two triangles are said to be congruent.

We have ∠ H ≅ ∠ T,

∠ J ≅ ∠ R and

∠ K ≅ ∠ S.

So,

∠ H ≅ ∠ T,

51°=6a-3

6a=51+3

6a =54

a=9

∠ K ≅ ∠ S.

7b-15=83

7b=83+15

7b=98

b=14

Therefore, The value of a and b are 9 and 14 when the two triangle ΔJHK congruent to ΔTRS.

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Answer:

Answer: -1. the slope is when you count the space from the y-intercept to the x-intercept. So 2 down and 2 right. It's negative because you go down. -2/2 simplified is -1.

Step-by-step explanation:

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

Edit: My bad if its the simplest form then the answer would be -1, sorry

Answer:

The answer is -2/2 because it goes down 2 times (-2) and right twice (2) to reach the next point

Hope this helped!!

Answer:

36km/h

speed =distance/time

= 90/2.5

=36km/h

Answer:

Answer C uwu

Step-by-step explanation:

Hope this helps

Answer: 12pi+140

Step-by-step explanation:

Area of the trapezoid: (1/2)(7)(16+24)=(20)(7)=140

Area of semicircle: (pi)(12)=12pi

So total area = 12pi + 140

To prove that the sum of the squares of four consecutive integers is an even integer, let's consider the four consecutive integers as n, n+1, n+2, and n+3.

The square of an integer is always a non-negative number. So, let's calculate the sum of the squares of these four consecutive integers: (n^2) + ((n+1)^2) + ((n+2)^2) + ((n+3)^2). Expanding the squares, we have: n^2 + (n^2 + 2n + 1) + (n^2 + 4n + 4) + (n^2 + 6n + 9). Simplifying the expression, we get: 4n^2 + 12n + 14. Now, we can factor out 2 from the expression: 2(2n^2 + 6n + 7).Since 2n^2 + 6n + 7 is an integer, we can represent it as k, where k is an integer.

Therefore, the sum of the squares of four consecutive integers is 2k, which is an even integer. Hence, the sum of the squares of four consecutive integers is always an even integer.

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The probability that Anthony, Brian, and Chantal are in the same lab group today is approximately 0.8703, or about 87.03%.

There are 15 students in total, so there are 15 ways to choose the first student, 14 ways to choose the second student (since one has already been chosen), and 13 ways to choose the third student (since two have already been chosen). However, since the lab groups are identical, we need to divide by the number of ways to arrange the group of three students, which is 3! = 6. Therefore, the total number of ways to choose a group of three students is:

15 x 14 x 13

6

Simplifying this expression gives:

(15 x 14 x 13) / 6 = 455

There are 5 lab groups, and we want to find the probability that Anthony, Brian, and Chantal are all in the same group. There are 3 ways to choose which group they will be in, and then we need to choose 2 more students to join them, which can be done in:

12 x 11

2

ways, since there are 12 students remaining to choose from after we have chosen Anthony, Brian, and Chantal, and we need to choose 2 more students to join them. Therefore, the total number of ways that Anthony, Brian, and Chantal can be in the same group is:

3 x (12 x 11) = 396

Finally, we can calculate the probability by dividing the number of favorable outcomes (i.e., Anthony, Brian, and Chantal are in the same group) by the total number of possible outcomes:

P(Anthony, Brian, Chantal in same group) = 396 / 455

≈ 0.8703

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The Misfit of Demon King Academy

Maximum number of square feet Jasmine can purchase is 12

Let's first find out how much Jasmine will have left after purchasing the sink:

$600.00 - $175.00 = $425.00

Now, let x be the maximum number of square feet Jasmine can purchase. We know that the cost of the countertops is $35 per square foot. Therefore, the total cost of the countertops is:

$35.00 x

According to the problem, Jasmine can spend a maximum of $425.00 on countertops. We can write this information as an inequality:

$35.00 x <= $425.00

To solve for x, we can divide both sides of the inequality by $35.00:

x <= $425.00 / $35.00

x <= 12.14

x ≈ 12 square feet

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Step-by-step explanation:

it C but if it not please don't blame me

JB Hi Fi is an Australian electronics retailer with over 250 stores in Australia and New Zealand. The company faces a number of financial and non-financial risks.

Financial risks

Non-financial risks

JB Hi Fi can manage these risks by implementing a number of risk management techniques.

By implementing these risk management techniques, JB Hi Fi can reduce its exposure to financial and non-financial risks and improve its chances of long-term success.

In addition to the above, JB Hi Fi can also take steps to improve its ESG performance. This could include:

By improving its ESG performance, JB Hi Fi can attract more customers and investors, and build a more sustainable business.

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The concave mirror is 36.7 cm away from the face.

The magnification equation is:

Magnification=m=-v/u where v is the image distance and u is the object distance.

Given that the upright image of a man's face is 2.54 times the size of the face, therefore magnification,

m=2.54 =-v/u.........(i)

Now, the mirror is a concave mirror and its radius of curvature, R=+36.7 cm.

Thus, the mirror's focal length, f=R/2=+18.35 cm.....(ii)

In terms of focal length, the object distance, u = -f.......(iii)

Substituting equation (ii) and (iii) in equation (i), we get:

2.54=-v/(-f)v=-2.54f

Now we have the relationship between v and f.

The object distance from the mirror is the sum of the focal length and the image distance.

Hence the object distance is:

u=f+v

u=-f+v

=-f-2.54f=-3.54f

Substituting the value of f=-18.35 cm, we get:

u= -3.54f

=3.54×18.35 cm = 64.99 cm

Therefore, the concave mirror is 64.99 cm away from the face of the man.

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Answer:

3m+m^2

Step-by-step explanation:

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Step-by-step explanation:

Given

A semi-circle is placed over a rectangle

width of the rectangle is w=1.5 cm

The length of the rectangle is l=9.2 cm

from the figure, we can write

\(\Rightarrow 9.2=2.5+2r\quad (\text{length of rectangle is equal})\)

where r=radius of the semi-circle

\(\Rightarrow 2r=6.7\\\Rightarrow r=3.35\ cm\)

Perimeter of figure

\(\Rightarrow 9.2+1.5+2.5+\pi r+1.5\\\Rightarrow 14.7+10.52=25.22\ cm\)

Area of the figure

\(\Rightarrow A=\text{Area of rectangle+Area of semi-circle}\\\Rightarrow A=1.5\times 9.2+\pi \times 3.35^2\\\Rightarrow A=13.8+35.26=49.06\ cm^2\)

The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.

The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.

The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.

Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

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