Find the length of the missing side

Answer:

x = -25.

Step-by-step explanation:

If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.

f(g(x)) = -10x + 5, and x = 3.

-10 * 3 + 5

= -30 + 5

= -25.

Hope this helps!

the solutions for a system of equations is where the graphs of each equation meet or intersect.

for the picture above with two parallel lines, well, the lines are parallel and apart from each other, that means they never meet or intersect, and since they never intersect, they have no solution.

To find the circumference we have to calculate

where r=6

therefore we have that the answer is

If there are 245 total preschoolers, there will be 105 boys.

acc to our question-

Therefore, there are 105 boys in the school.

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Answer:

jnjgnjgn n fwdn d ndjdd

Step-by-step explanation:

Answer:

1/48

Step-by-step explanation:

1/8 divided by 6 is 1/8*1/6=1/48

With these steps, you can successfully find the mean, mode, and range of the data represented in the dot plot.

To find the mean, mode, and range of the dot plot, follow these steps:
Step 1: Count the total number of data points (dots) in the dot plot.
Step 2: Add up the values represented by the data points.
Step 3: Divide the sum from Step 2 by the total number of data points from Step 1 to calculate the mean.
Step 4: Identify the mode by finding the value(s) that appears most frequently in the dot plot (i.e., the value with the highest number of dots).
Step 5: Determine the range by finding the difference between the highest and lowest values in the dot plot.

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its B trust me mark me brainliest

Answer:

C.) y = 5/4x - 4

Step-by-step explanation:

Points: (0,-4) and (4,1)

m = y2 - y1/x2 - x1

m = 1 - (-4)/4 - 0

m = 1 + 4/4

m = 5/4

Point: (4,1) (you may choose any points, but I will choose these since they are the easiest to work with)

y - y1 = m(x - x1)

y - 1 = 5/4(x - 4)

y - 1 = 5/4x - 5

y = 5/4x - 5 + 1

y = 5/4x - 4

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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Answer:

(x-2)-1=2

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

(x-2)=3

x=3+2

x= 5

Solution:

Let the score for the seventh test be represented below as

The mean score t be attained after the sevent tests is

The scores from the 6 tests are given below as

To figure out the seventh score, we will do the calculation below

Hence,

The final asnwer is

The number of miles rode by Abby each day is m.

The number of miles rode by Abby in one week (7days) is 7m.

The inequality can be determined as,

Thus, 7m>70 is the required inequality.

Answer:

\(h=1/3\)

Step-by-step explanation:

So we have the equation:

\(-12h+4=0\)

Subtract 4 from both sides:

\((-12h+4)-4=(0)-4\\-12h=-4\)

Divide both sides by -12:

\((-12h)/-12=(-4)/-12\\h=-4/-12\)

Simplify and reduce:

\(h=1/3\)

Answer:

h =1/3

Step-by-step explanation:

\(-12h + 4 = 0\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\-12h+4-4=0-4\\\\\mathrm{Simplify}\\-12h=-4\\\\\mathrm{Divide\:both\:sides\:by\:}-12\\\frac{-12h}{-12}=\frac{-4}{-12}\\\\Simplify\\h=\frac{1}{3}\)

Answer:

12.5663

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p

Step-by-step explanation:

The angles pairs and the transversal connecting them are:

a. <1 and <5: transversal r.

b. <7 and <14: transversal q

c. <8 and <11: transversal s

<6 and <15: transversal q.

<3 and <9: transversal p.

Note the following about what a transversal is:

Let's determine the transversal connecting the following given angles:

a. <1 and <5: transversal r.

b. <7 and <14: transversal q

c. <8 and <11: transversal s

<6 and <15: transversal q.

<3 and <9: transversal p.

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This question requires estimating the probability of various occurrences related to the roll of two dice, one red, and one blue. The occurrences A, B, and C occur when the sum of the two dice is even, when the sum is at least 10, and when the red die comes up 5, respectively. Calculating the likelihood of each individual event, as well as conditional probabilities, and distinguishing independent pairs of occurrences are all part of the process.

(a) Probability of each individual event is as follows:

P(A) = probability of an even sum = (number of favorable outcomes)/(number of possible outcomes)= 18/36 = 1/2

P(B) = probability of a sum at least 10= (number of favorable outcomes)/(number of possible outcomes) = 3/36= 1/12

P(C) = probability of red die shows 5 = (number of favorable outcomes)/(number of possible outcomes) = 1/6

(b) P(A|C) = probability of getting an even sum on the dice given that the red die shows 5= (number of favorable outcomes)/(number of possible outcomes)

Since we know that the red die shows 5, there are three favorable outcomes to getting an even sum: (4, 1), (4, 3), and (6, 5). The probability of one of these outcomes occurring is P(A|C) = 3/3 = 1

(c) P(B|C) = probability of getting a sum of 10 or more on the dice given that the red die shows 5= (number of favorable outcomes)/(number of possible outcomes). Since we know that the red die shows 5, there are no possible outcomes that will result in a sum of 10 or more. Thus, P(B|C) = 0

(d) P(A|B) = probability of getting an even sum on the dice given that the sum is at least 10 = (number of favorable outcomes)/(number of possible outcomes)We know that the only way to obtain a sum of 10 or more is to get a 5 and a 5 or a 6 and a 4. Out of these two possible outcomes, only one of them has an even sum: (6, 4). Therefore, the probability of getting an even sum given that the sum is at least 10 is: P(A|B) = 1/2

(e) To determine which pairs of events among a, b, and c are independent, we have to determine whether P(A) = P(A|C), P(B) = P(B|C) and P(A)P(B) = P(A∩B).- P(A) = 1/2, P(A|C) = 1, P(A) ≠ P(A|C), so events A and C are not independent.- P(B) = 1/12, P(B|C) = 0, P(B) ≠ P(B|C), so events B and C are not independent.- P(A)P(B) = (1/2)(1/12) = 1/24, P(A∩B) = 1/36 = P((6, 4)), P(A)P(B) ≠ P(A∩B), so events A and B are not independent.

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Answer: choices 1, 4, and 5.

Step-by-step explanation: uhhhh the answers basically explain why. 1 because it's a terminating decimal, 4 because it's a repeating number, and 5 because the square root of 11 is not a perfect square, and is not a repeating or terminating decimal.

Answer:

a-b

Step-by-step explanation:

You can't simply or evaluate a-b so so it still give you a-b

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.

To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.

Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.

The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.

Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.

For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.

Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.

Considering all the constraints, the possible combinations are:

- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.

- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.

- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.

- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.

Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.

Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.

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Answer:

use a calculator

Answer:

Step-by-step explanation:

For example, if you had 2 3/4, you would change the mixed number into an improper fraction. That would equal 11/4 (4 times 2 is 8 and 8 + 3 is 11). Then, you would divide 11 by 4, which equals 2.75 (2 and 75 hundredths).

For negative fractions, you would take the numerator divided by the denominator (3/4= 3 divided by 4= 0.75). You would then put the negative sign in front of the decimal.

Answer:

The formula for finding the percentage of something is given as: (No. of items you want to find÷Total no. of items)×100

Percentage of red pins = (21÷70)×100

= 30%

Answer:1,050

Step-by-step explanation:

The probability that a three-  number integer is separable by 7 is 3/20or 0.15.

To determine the probability that a three-  number number is separable by 7, we need to count the number of three-  number integers that are separable by 7 and  also divide that number by the total number of three-  number integers.

First, we need to find the lowest three-  number integer that's separable by 7. We know that 14 is the  lowest two-  number integer separable by 7, so the  lowest three-  number integer that's separable by 7 will be the coming multiple of 7, which is 105.    

Next, we need to find the largest three-  number integer that's separable by 7. The largest three-  number integer is 999, and the largest multiple of 7 that's  lower than or equal to 999 is 994.    So, we need to count the number of integers that are separable by 7 between 105 and 994.

We can do this by using the formula for the number of integers in an  computation sequence  

number of integers = ( last term-first term)/ common difference  

In this case, the first term is 105, the last term is 994, and the common difference is 7, so we have  

number of integers = ( 994- 105)/ 7 1 =  135  

Thus, there are 135 three-  number integers that are separable by 7.    

The total number of three-  number integers is 900( from 100 to 999). So, the probability that a three-  number integer is separable by 7 is    probability =  number of integers that are separable by 7/ total number of three-  number integers  probability

=  135/ 900  probability =  3/ 20

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522

I solve this question using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction).

2 + 5 x 4² + 5 x 42 + 5 x 42 + 5 x 4

= 2 + 5 x 16 + 5 x 42 + 5 x 42 + 5 x 4

= 2 + (5 x 16) + (5 x 42) + (5 x 42) + (5 x 4)

= 2 + 80 + 210 + 210 + 20

= 522

The closest estimate to the actual value of √0.65 is option B: 0.086, which gives an estimate of √0.65 ≈ 0.293.

Therefore, B is the best estimate of √0.65 among the given options.

We can estimate the value of √0.65 using the given options and comparing them to the actual value of √0.65, which is approximately 0.806.

0.065 -> √0.065 ≈ 0.255

0.086 -> √0.086 ≈ 0.293

0.81 -> √0.81 = 0.9

0.86 -> √0.86 ≈ 0.927

It's important to note that while estimation is a useful tool, it is not as accurate as precise calculations, so it's always best to verify the estimate using more accurate methods when necessary.

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Answer:

The original number is (i)

The whole amount is (ii)

Step-by-step explanation:

So when finding a number in a percent you wanna see how much that percent will go into that number. So like if I said how many times does 60% go into 200 you would have to see how many times the number 200 would go into 60%. does this make sense? If so this is how you can find your answer.

Sorry if I'm wrong I hope you get this right!! Stay beautiful ❤️

The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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The number of different ways in which no song is liked by all three and there is at least one song liked by those two girls but disliked by the third is (b) 132 ways.

Let the song that is liked by Amy and Beth (but not Jo), Beth and Jo (but not Amy), and Amy and Jo (but not Beth), be denoted as : AB, BJ, and AJ.

Similarly, let the letters "A, B, J, and N" denote the song that is liked by only Amy, only Beth, only Jo, and none of them, respectively.

We know that there is at least 1 AB, BJ, and AJ, there must be 3 songs out of 4 songs which Amy, Beth, and Jo listened to.

The fourth song can be of any type : N, A, B, J, AB, BJ, and AJ (there is no ABJ because "no-song" is liked by all three),

So, we must find the number of ways to rearrange AB, BJ, AJ and a song from the set {N, A, B, J, AB, BJ, AJ}.

⇒ Case 1: Fourth song choices = N, A, B, J

All the four of choices for fourth song are different from the first 3 songs.

⇒ Number of ways to rearrange = 4! × 4 choices = 96.

⇒ Case 2: Fourth song choices = AB, BJ, AJ

All 3 of choices for fourth song repeat in the first three songs.

So, Number of ways to rearrange = (4!/2!) × 3 = 36,

So, total number of ways = 96 + 36 = 132.

Therefore, the required number of ways of arrangement is 132 ways, the correct option is (b).

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The given question is incomplete, the complete question is

Amy, Beth, and Jo listen to four different songs and discuss which ones they like. no song is liked by all three. furthermore, for each of the three pairs of the girls, there is at least one song liked by those two girls but disliked by the third. in how many different ways is this possible?

(a) 108

(b) 132

(c) 671

(d) 846

(e) 1105