18 n squared + 120 n - 378​

Answer:

10

Step-by-step explanation:

| 2+3(-4)|

Using PEMDAS, multiply first

| 2+-12|

Then add

| -10|

Then take the absolute value

10

Answer:

[See Below]

Step-by-step explanation:

Rewrite:

* |2 + 3 x -4|

Solve:

* 2 + 3 = 5

* 5 x -4 = -20

Now solve using absolute value:

* -20 = 20

(With absolute value it's just a short way of saying no negatives or fractions. It'd be the whole number of the number. Another example of this would be 8/1; the absolute value would be 8.)

Answer:

h is independent variable

Step-by-step explanation:

The value of d depends on h. Therefore h is independent variable.

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

bbbbbbbbb

Answer:

49, 35, and 32

Step-by-step explanation:

A composite number is one that may be generated by multiplying two smaller positive numbers. The correct options are A, B, and C.

A composite number is one that may be generated by multiplying two smaller positive numbers. It is a positive integer with at least one divisor other than 1 and itself.

Composite numbers are those numbers that are divisible by other numbers and form 1 and itself as well.

49

49 is divisible by 7, therefore, it is a composite number.

35

35 is divisible by 7, therefore, it is a composite number.

32

32 is divisible by 2, therefore, it is a composite number.

41

Since 41 is not divisible by any other number except 1 and itself, therefore it is not a composite number.

47

Since 47 is not divisible by any other number except 1 and itself, therefore it is not a composite numbers.

Hence, the correct options are A, B, and C.

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Answer:

[tex]T_n = \frac{2^na}{2}[/tex]

Step-by-step explanation:

Given

Bacteria splits to 2 at every 20 minutes

Required

Explain how to get the resulting number of bacteria

To do this we simply make use of geometric progression formula;

[tex]T_n = ar^{n-1}[/tex]

In this case; r = 2 (rate at which they split);

[tex]T_n = a * 2^{n-1}[/tex]

a represents the initial number of bacteria in the dish

Apply law of indices

[tex]T_n = a * \frac{2^n}{2^1}[/tex]

[tex]T_n = a * \frac{2^n}{2}[/tex]

[tex]T_n = \frac{2^na}{2}[/tex]

Assume, we want to determine the number of bacteria at the 10th 20 minutes (in other words, 200 minutes), the value of n will be 10

Answer:

D. 82 square units

Step-by-step explanation:

The area of the given rectangle is 82 square units. The correct option is (D).

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)^2 + (y₁ - y₂)^2).

By knowing the sides, the area of different polygonals such as parallelogram, trapezium and rectangles etc. canbe found.

The vertices of the rectangle are given as (9, – 1), (-1, 7), (-5, 2), (5, 6).

Suppose A, B, C and D are the corresponding vertices.

In order to find the area length and breadth is required.

Here, AB is the length and BC is the breadth which can be found using the distance formula as,

AB = √((-1 - 9)^2 + (7- (-1))^2)

     = √(10² + 8²)

     = 12.8

BC = √((-5 - (-1))^2 + (2 - 7)^2)

     =√(-4² + -5²)

     = 6.4

Thus, Area = AB ×  BC

                  = 12.8 × 6.4

                  = 81.92

Which is approximately 82.

Hence, the area of the rectangle is 82 square units approximately.

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Answer: Marcie will pay $25.97

Step-by-step explanation:

It’s a personal challenge

Answer:

fraction of the wall is limestone is 4/22

or 2/11 as a reduced fraction

Step-by-step explanation:

fraction of the wall is limestone is 4/22

the width is 22 in total

10 inches concrete = 10/22

8 inches brick : 8/22

4 inches limestone : 4/22

10/22+8/22+4/22=22/22=1

Answer:

a. Linear

A linear line is straight.

Answer:

4m^7y^2/-3

Step-by-step explanation:

Answer:

16+5.6..to solve it yiu will have to put it like this...

16.0+5.6=21.6.

21.6+0.681=22.281.

On simplifying we get the answer as 22.281

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here, the expression is 16 + 5.6 + 0.681​ =22.281

Hence, on simplifying we get the answer as 22.281

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Answer:

Step-by-step explanation:

A.) Let z be the variable denoted for the total cost of all kitten supplies. Then, let x be the number of bottles and let y be the number of cans. The equation would be:

z = 3.99x + 1.50y

The coefficients are 1 for z, 3.99 for x and 1.50 for y.

There are no constants.

The variables are z, x and y.

Part B.) Substitute x=30 and y=120 to the equation in part A to determine z.

z = 3.99(30) + 1.50(120)

z = $299.7

Part C.

Sales tax would be 7% of the total cost. This would be added as a constant. The expression would be:

z = (3.99x + 1.50y)(1+0.07)

Substituting x=30 and y=120,

z = (3.99*30 + 1.50*120)(1+0.07)

z = $320.679

Above picture are the steps

Answer:

2x

_______

x2−3x+2

or 2x/x2-3x+2

Answer: 5

Step-by-step explanation: 2 baskets containing 18 each= 36 -10 rotten apples = 26 +4 apples= 30 divided by 6 friends is 5 each

Step-by-step explanation:

Two baskets containing 18 apples = 36

and 10 apples are rotten = 36 - 10 = 26

and you add 4 more apples = 26 + 4 = 30

again,

you divide among 6 friends = 30 ÷ 6 = 5

Therefore, 5 apples each!

Answer:

the area of grass is 314 square feet

Step-by-step explanation:

The radius of the circle the goat can reach is given by the length of the rope that ties the goat to the post (10 ft)

Then the area of the circle is: [tex]Area=\pi\,R^2=3.14\,(10\,\,ft)^2=3.14 * (100)\,ft^2=314 \,\,ft^2[/tex]

So the area of grass is 314 square feet

Answer:

100

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

The prime factors of 30 are 2 x 3 x 5. The prime factors they have in common are 3 x 5. 3 x 5 = 15. The greatest common factor is 15

The greatest common factor of 35 and 15 is 5. The 'greatest common factor' is sometimes called the 'GCF.

Greatest Common Factor (GCF) of two numbers

the factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40, and the factors of 50 are 1, 2, 5, 10, 25 and 50.

Step-by-step explanation:

Answer:

The markup for the shoes is 20 percent.

Step-by-step explanation:

Answer:

4.76

Step-by-step explanation:

Answer:

Umm may be 105

Step-by-step explanation:

here a=5 b=7

3ab means 3×a×b

so,

3×5×7

=105

Answer:

[tex]\Huge \boxed{\mathrm{105}}[/tex]

Step-by-step explanation:

[tex]3ab[/tex]

The value of [tex]a[/tex] is given 5.

The value of [tex]b[/tex] is given 7.

[tex]\Rightarrow 3(5)(7)[/tex]

Evaluate the expression.

[tex]\Rightarrow 105[/tex]

Answer:

y = 4

Step-by-step explanation:

If two triangles are similar then,

i)  Corresponding angles will be equal

ii) Corresponding sides will be in the same ratio.

[tex]\frac{AC}{EF}=\frac{CB}{FD}\\\\\\\frac{12}{y}=\frac{15}{5}\\\\[/tex]

Cross multiply,

12*5 = y*15

y*15 = 12*5

[tex]y=\frac{12*5}{15}\\[/tex]

y = 4

Answer:

∠DEF = 60

x = 11.4

y = 4

Step-by-step explanation:

Step 1: State what is known

The question tells us that Triangle ABC is similar to Triangle EFD, We know similar angles share the same angles and the sides are similar to the corresponding side

Step 2: Find the unknown angle

Because we know the triangles are similar we need to find ∠BAC to solve for 'z'

z = 180 - 55 - 65

z = 60

Step 3: Find the unknown side with the ratio

We know 1 pair of sides BC and DF and it gives us a ratio of BC : DF or 3 : 1

We can set the ratios equal to an unknown side to solve:

3 : 1 = 12 : y

We can multiple 3 : 1 by 4 to get the 'y'

12 : 4

y = 4

3 : 1 = x : 3.8

We can multiple 3 : 1 by 3.8 to get 'x'

11.4 : 3.8

x = 11.4

Therefore ∠DEF = 60, side x = 11.4 and side y = 4

Answer:

2x + 8

Step-by-step explanation:

Step 1: Write out expression

2x + 5 + 3

Step 2: Combine like terms (only constants here)

5 + 3 = 8

2x + 8

Answer:

2x + 8

Hope this helps!

Step-by-step explanation:

pls make me as brainleist

Answer:

a 64°

b 116°

c 116°

d 64°

e 108°

f 72°

g 108°

h 72°

i 108°

j 108°

k 108°

m 105°

n 79° = opposite angle

p 90° = 180-90=90

q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64.  180-64=116

s 72°

t 119°

Step-by-step explanation:

a 64°

b 116°

c 116°

d 64°

e 108°

f 72°

g 108°

h 72°

i 108°

j 108°

k 108°

m 105°

n 79° = opposite angle

p 90° = 180-90=90

q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64.  180-64=116

s 72°

t 119°

Answer:

d = 64°

c = 180° - 64° = 116°

a = 64°

b = 180° - 64° = 116°

m = 180° - 75° = 105°

t = 180° - 61° = 119°

f = 180° - 108° = 72°

g = 108° = e

h = 180° - 108° = 72°

i = j = g = 108°

k = i = 108°

s = 180° - 108° = 72°

n = 79°

p + n + 75° + q = 360° (their vertices form a quadrilateral)

--> q = 360° - 90° - 79° - 75° = 116°

(i see that n,p,q don't have any special relationships at all but i'm not sure about that, sorry)

Answer:

mn = 3.5 unit

Step-by-step explanation:

Given:

mn = x+1 unit

nr = 3x unit

mr = 11 unit

Find:

mn

Computation:

mr = mn + nr

11 = x+1 + 3x

11-1 = x + 3x

10 = 4x

x = 10/4

x = 2.5 unit

So,

mn = x+1 unit

mn = 2.5+1 unit

mn = 3.5 unit

Answer:

answer is in the box. I hope that helps! :)

Answer:

2(y−1)(x−3)

Step-by-step explanation:

Factor 2xy−2x+6−6y

2xy−2x−6y+6

=2(y−1)(x−3)