For the given functions FNG, find the indicated composition.

Answer:

92⁰

Step-by-step explanation:

a = 35⁰ ( vertically opposite )

b = 53⁰ (vertically opposite )

a + b + x = 180⁰ (Angle sum property of triangle)

35⁰ + 53⁰ + x = 180⁰

x = 180⁰ - 88⁰

x = 92⁰

Answer:

[tex]x = 97 \: \: degrees[/tex]

Step-by-step explanation:

[tex]a = 35 \\ b = 53 \\ (vertically \: \: opposite \: \: angles)[/tex]

[tex]35 + 53 + x = 180 \\ 86 + x = 180 \\ x = 180 - 83 \\ x =9 7 \: \: degrees[/tex]

sum of the angles in a triangle is 180 degrees.

hope this helps

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Answer:

Step-by-step explanation:

5×-9=-45

-9+5=-4

5x²-4x-9=0

5x²-9x+5x-9=0

x(5x-9)+1(5x-9)=0

(5x-9)(x+1)=0

x=-1,9/5

Answer:

252 7 x 3 x 2

Step-by-step explanation:

The boy can wear 252 different outfits to school.

To calculate the number of different outfits, you can multiply the number of choices for each clothing item.

In this case, he has 7 choices of pants, 3 choices of shirts, 2 choices of ties, and 6 choices of jackets.

To find the total number of outfits, simply multiply these choices together: 7 pants x 3 shirts x 2 ties x 6 jackets = 252 different outfits.

This calculation works because for each choice of one item of clothing, there are still all the other choices available for the remaining items.

So, for every pair of pants, he can choose from 3 different shirts, and for each shirt-pants combination, there are 2 tie options, and so on.

Multiplying these choices together gives us the total number of outfits he can create while wearing one of each item.

for such more questions on multiply

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Answer:

x=7,-17/3

Step-by-step explanation:

Answer: f(x)=3x2+30x+65

Step-by-step explanation:

F(x)=3(x+5)2-10

Using bodmas

B= bracket

O=of

D= division

M= multiplication

A= Addition

S= subtraction

So we go with the bracket

(X+5)2

=(x+5)(x+5)

Open the bracket

=x2+5x+5x+25

=x2+10x+15

Substitute for (x+5)2

F(x)=3(x2+10x+25)-10

Open the bracket

F(x)= 3x2+30x+75-10

F(x)= 3x2+30x+65

For every 110 phones, 4 have defects, There's 5 sets of 110 in 550, so multiply 5 by 4.

5 × 4 = 20

20 out of the 550 may have defects.

Hope this helps :)

Answer:

10.5

Step-by-step explanation:

Area of a triangle=(½)(b)(h)

=(½)(3)(3)

=4.5

Area of rectangle=l×w

=2×3

=6

4.5+6=10.5

(hope this helps!!)

Answer:

1,350 mg.

Step-by-step explanation:

Multiply the amount of mg per kg by the number of kg to get the total amount of mg needed by the patient.

1350 milligrams pharmacist needs to fill the order for that patient.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given that,

The patient needs the drug according to his weight by multiplying of 15

Since the weight of the patient is 90 kg

So,

Amount of drug needed = 15 × 90 = 1350 miligram.

Hence "1350 milligrams pharmacist needs to fill the order for that patient".

For more information about multiplication,

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Answer:

1) biased sample

2) random sampling

Step-by-step explanation:

Since the results are based on feedback of students in only one class, it's not a good representative of the entire student body.

Also, since it's a math class there will be a bias.

Better method would be randomly selecting students from the entire school students list and take their feedback

Answer:

Sample response: Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.

Step-by-step explanation:

Answer:

Step-by-step explanation:

⇒49=7×7 =1 × 49

Factors of 49 = 1,7,49

⇒It is given that ,98 is a Multiple of 49.

98 = 49 × 2

So, apart from factors of 49, number 2, and 98 are also included in the set of factors of 98.

→Factors of 98 are =1,2,7,49,98

Answer:

3:10

Step-by-step explanation:

The question is asking the ratio of red cars to all the cars.

There are 3 red cars, and the total of the cars (all the cars) is 10.

The ratio is asking red to all.

So it is 3:10.

We want to get the ratio of red toy cars to the total number of red cars, we will get: 3:10

Here we know that:

There are 2 black cars, 3 red cars, and 5 white cars.

We want to get the ratio (remember that the ratio a to b is a:b) of red toy cars to all the toy cars.

First, we can see that there are 3 red toy cars.

And the total number of toy cars is:

2 + 3 + 5 = 10

So the ratio is just 3:10

If you want to learn more, you can read:

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Step-by-step explanation:

Total bags = 8

Candies in each bag = 7 candies

So Now

Total candies in the package = 7*8 = 56

Answer:

D y=50x + 25

Step-by-step explanation:

The number of weeks can vary, so it is placed in front of a variable. The cleaning supplies cost does not, so it does not have a variable, but instead, it is a constant.

Answer:

D

Step-by-step explanation:

y = mx + b is the equation, where m = cost per week and b = cleaning supply cost (constant)

That means the equation is y = 50x + 25

Answer:

B. He added 5 to each side of the equation.

Step-by-step explanation:

B. He added 5 to each side of the equation.

Answer:

1055 lbs.

Step-by-step explanation:

Since 1 ton is 2000 pounds, half a ton is 1000 pounds. The wheelbarrow weights 55 pounds in itself, so the total weight will be 1000 + 55 = 1055 lbs.

Answer:

D. ( 3.6 , 2.2)

Step-by-step explanation:

Given

x + y = 5.8....equation 1

y = 2x - 5 ......equation 2

Putting equation 2 in equation 1

x + 2x - 5 = 5.8

3x = 5.8 + 5

3x = 10.8

Therefore x = 3.6

Now

y = 2 * 3.6 - 5

= 7.2 - 5

= 2.2

Hope it will help you.

Answer:

B

Step-by-step explanation:

Answer:

A= -18

Step-by-step explanation:

-8-3(-18)= 46= -18

Answer:

a=-18

Step-by-step explanation:

Let's break this down step by step.

-8-3a=46

Since 3a has a variable, a, we want to get it by itself. So the first step is to do the inverse operation and add 8 on both sides. That leaves this equation:

-3a=54

The 3a is -3a because of the subtraction sign in front. Now we divide on both sides because we want the variable, a, to be by itself. That leaves this simplified expression.

a=-18.

Now, let's work it out in context of the problem.

-8-3x-18=46

3x-18 is -54, and -8-(-54), it would become 46.

Answer:

(B)15,36,39

Step-by-step explanation:

To determine which of the line segments could create a Right Triangle, we check if it satisfies the Pythagoras Theorem, taking the longest part to be the Hypotenuse in all cases.

By Pythagoras Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

In  15,30,35

[tex]35^2\neq 15^2+30^2\\1225\neq 1125[/tex]

In 15,36,39

[tex]39^2=36^2+15^2\\1521=1521[/tex]

In 15, 20, 29

[tex]29^2\neq 15^2+20^2\\841\neq 625[/tex]

In 5,15,30

[tex]30^2\neq 15^2+5^2\\900\neq 250[/tex]

We can see that only 15,36,39 satisfies the required condition and thus it could be used to create a right triangle.

Answer:

Not on there but it is 76in2

Step-by-step explanation:

Starting with the trapezoid. We know that a trapezoid can be split into 2 triangles and 1 rectangle. So the area of the trapezoid will be 4+32+4 which is 40 now that we know the trapezoid's area we can find the rectangle's area. The rectangle's area will be 12x3 which is 36. So, you would add both:40+36= 76in2.

Answer:

18 inches.

Step-by-step explanation:

Hope this helps! Would you like an explanation?

Answer:

y = -5/4x+4

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b

where m is the slope and b is the y intercept

y = -5/4x +b

Substitute the point into the equation

-1 = -5/4(4) +b

-1 =-5+b

Add 5 to each side

-1+5 = -5+5+b

4 = b

y = -5/4x+4

Answer:

the answer is D

Step-by-step explanation:

Answer:

Fine the area of the square, then the area of the circle. Subtract the area of the circle from the area of the square and you will get the remaining shaded area.

Answer:

y = 3x-6

Step-by-step explanation:

First we need to find the slope of the line

2y-6x=4

Solve for y

Add 6x to each side

2y-6x+6x=4+6x

2y = 6x+4

Divide each side by 2

2y/2 =6x/2 +4/2

y = 3x +2

The slope is 3

We want a line parallel, so it will have the same slope

We have a slope and a point

y = 3m+b

Substitute in the point

6 = 3(4)+b

6 =12+b

Subtract 12 from each side

6-12 = 12-12+b

-6 =b

y = 3x-6

Answer:

y = 3x - 6

Step-by-step explanation:

2y = 6x + 4

y = 3x + 2

Slope = 3

y = 3x + c

6 = 3(4) + c

c = 6 - 12

c = -6

y = 3x - 6

The length of rectangle is 48 yards and width of the rectangle is 8 yards, if the perimeter of the rectangle is 112 yards.

Step-by-step explanation:

The given is,

                   The perimeter of the rectangle is 112 yards

                   The length of a rectangle is six times it's width

Step:1

          Let, p - Perimeter of the rectangle

                   l - Length of the rectangle

                 w - Width of the rectangle

Step:2

        Formula for perimeter of rectangle,

                    [tex]Perimeter, p = 2(l+w)[/tex]............................(1)

        From given,

                      p = 112 yards

                       l = 6w                            ( ∵ From given)

                     w = w

        Substitute the values,

                   112 = 2 ( 6w + w )

                   112 = 2 ( 7w )

                   112 = 14w

                    w = 8 yards

         From the w value, l becomes

                     l = 6w

                     l = 6 × 8

                   l  = 48 yards

Result:

       The length of rectangle is 48 yards and width of the rectangle is 8 yards, if the perimeter of the rectangle is 112 yards.

Answer:

A

Step-by-step explanation:

When we distribute, we get:

6x - 15 - 4x + 12 = 7

If we combine the like terms, we get:

2x - 3 = 7, which is A in your case. Hope this helps.

Answer:

7

Step-by-step explanation:

English:

Which digit should go in the box to

make the next number divisible

between 2, 3 and 9? 8 ,? 48

Let x be the number, then the number will look like this:

8x48

This number is already divisible by 2, because it ends with an even number.

Now we need to check for divsibility by 3.

For this to be divisible by 3, the sum of the digit should be a multiple of 3.

[tex]8 + x + 4 + 8 = x +20[/tex]

We know if a number is divsible by 9, it is also divsible by 3.

So

[tex]x + 20=9,18,27,....[/tex]

The least positive solution is

[tex]x + 20 = 27[/tex]

[tex]x = 27 - 20[/tex]

[tex]x = 7[/tex]

Therefore 8748 is divsible by 2,3, and 9.

Answer:

9999

Step-by-step explanation:

Find the greatest value of x and the least value of x that satisfy the equation:

2x-2000 = 9999 (Yields the greatest solution)

2x + 2000 = -9999 (Yields the least solution)

Solve both equations and you get:

3999.5 (Greatest solution)

-5999.5 (Least solution)

That means the range of integer solutions is between 3999 and -5999 (inclusive). That means there are 9999 integral solutions

Answer:

20,000 integers

Step-by-step explanation:

By triangular inequality,

|x - 2000 + x| ≤ |x−2000|+|x|

|x−2000|+|x| ≤ 9999

|x - 2000 + x| ≤ 9999

|2x - 2000| ≤ 9999

|x - 10000| ≤ 4999.5

x - 10000 ≤ 4999.5

x ≤ 4999.5

x ≤ 14999.5

-(x - 10000) ≤ 4999.5

-4999.5 ≤ x - 10000

-5000.5 ≤ x

All solutions:

-5000.5 ≤ x ≤ 14999.5

No. of inyegers:

14999 - (-5000) + 1

20,000 integers

Answer:f(x) approaches negative infinity

Step-by-step explanation:

N/A

Answer:

the 1st one is a (f(x) approaches negative infinity)

the 2nd one is c (f(x) approaches infinity)

Step-by-step explanation: