(x​²​y−3y²+5xy​²​​ )−(−x​²y+3xy​²​​ −3y​² )

Answer:

6

Step-by-step explanation:

105 is a composite number (not prime).  If you decompose 105 into its prime factors (see attached image), you get 105 = 3 x 5 x 7.  This means that the product 105 can only be written this way; any other way, for example 15 x 7 would not use numbers that are single digits.

The question boils down to how many ways the digits 3, 5, 7 can be arranged, using each digit exactly once.

That's a permutation problem, and it can be answered easily by thinking this way:  given the digits 3, 5, 7, there are 3 choices for the first digit, then 2 for the second digit (for EACH of the first choices), then only 1 choice for the final digit.

3 x 2 x 1 = 6 ways that 3, 5, 7 can be arranged to make a 3-digit number.  Here they are:

357, 375, 537, 573, 735, 753

Answer:

Constant - A symbol having a fixed numerical value.

Proportionality - Equality between two ratios.

Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?

A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.

I hope this helped!

~flipohrama

What are the options???

Answer:

36 miles

Step-by-step explanation:

The area of a rectangle = Length × Width

One dimension = 6 miles

Area = 216 square miles

Hence, the other dimension = 216 square miles/6 miles

= 36 miles

The unknown dimensions is 36 miles

Answer:

y = 4x-2

Step-by-step explanation:

y = mx+b

y = 4x+b

y = 4x-2

Answer:

Step-by-step explanation:

Volume formula:

Base area:

Volume:

Answer: Cathy spent a total of $701.55.

Step-by-step explanation:

Answer:

image pls see <3

Step-by-step explanation:

The surface area of triangular prism is 281.68 square cm

Triangular Prism is a pentahedron and has nine distinct nets. The edges and vertices of the bases are joined with each other via three rectangular sides. The sides of the triangular prism, which are rectangular in shape are joint with each other side by side. All cross-sections parallel to the base faces are the same as a triangle. A triangular pyramid has four triangular bases unlike the triangular prism, joined with each other and all are congruent to each other.

We have,

The length of triangular prism(l)=13 cm

The height of triangular prism(h)= 5.1 cm

The base of triangular prism(b)= 6.8 cm

S1, S2, and S3 are the three edges (sides) of the base triangle=6.1 cm,6.8 cm and 6.1 cm

Perimeter of base(p)=S1+S2+S3

                             =6.1cm+6.8cm+6.1cm

                            =19cm

According to question,

We know the formula of The surface area of prism=(perimeter of base× length of prism)+(2×base area of prism)

                                          =(P ×l)+(2×[tex]\frac{1}{2}[/tex]×b ×h)

                                          =(19×13)+(6.8×5.1)

                                           = 247+34.68

                                           =281.68 square cm

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The missing step in the given proof is ∠DEB ≅ ∠ACE

From the two triangles named ΔABC and ΔDBE, we can see that in both triangles, the angles ∠ABC and ∠DBE are equal.

Now, we are told that if two parallel lines are cut by a transversal that the corresponding angles formed are congruent. Thus, we can say that ∠DEB and ∠ACE are equal.

Thus, the missing step in the given proof is ∠DEB ≅ ∠ACE.

Read more about Similar Triangles at; https://brainly.com/question/8691470

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Answer:

The coordinates of P is (-1,5.5)

Step-by-step explanation:

Here, we want to find the coordinates of the point that divides the segment into the ratio 1 to 3

To do this, we are going to use the section formula

We have this as;

(x,y) = (nx1 + mx2)/m+ n, (ny1 + my2)/m + n

where m = 1 , n = 3

(x1,y1) = (-3,4)

(x2,y2) = (5,10)

Substituting these values, we have;

(x,y) = (3(-3) + 1(5)/4 , (3(4) + 1(10)/4

(x,y) = (-9+ 5)/4 , (12 + 10)/4

(x,y) = (-1, 5.5)

Answer:

the GCF is 3x^3

Step-by-step explanation:

Identifying the greatest common factor of an expression like this one involves finding the GCF of each term  when the terms are placed side by side:  the GCF of -15x^3 and 6x^4 is 3x^3, because 3 and x^3 are the largest factors of their type (constant, power of x) that will divide evenly into -15x^3 and 6x^4.

The end result is 3x^3(-5, 2x).  Once again, the GCF is 3x^3.

Answer: 61.58

Step-by-step explanation:

C = 2 π r = 2 · π · 9.8

π = pi

radius times pi (3.14) times 2 (because two radius makes the diameter)

9.8 times 3.14 times 2 = 61.57522in

Now we round.. 61.58

:) I hope this helps!  

Answer:

175 in³

Step-by-step explanation:

First the area of the triangle:

S: ½a×b×SinC

½×7in×10in×Sin90°===> 35in²

and now the volume

35 in²×5 in=175 in³

Answer: 11

Students have both a brother and a sister

Step-by-step explanation:

I don't think probability should be used for this question because the answer is quite clear

So in a class of 25 students

5 students don't have a sibling

So 25-5=20

Total number of siblings=14+17=31 siblings in total

So 20 people have 31 siblings

31-20=11

So the answer should be 11

In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. The probability that a student who has a brother also has a sister is 11/25.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.

In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings.

So in a class of 25 students

5 students don't have a sibling

then, 25-5=20

Total number of siblings = 14+17

= 31 siblings in total

So, 20 people have 31 siblings

= 31 - 20

= 11

So, the probability that a student who has a brother also has a sister

= 11/ 25.

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Answer:

A, C, E

Step-by-step explanation:

Right on Edge

Answer:

the ratio used was 1:19

Step-by-step explanation:

let a be the action figure version

let r be the real iron man

let's list out the important things.

a = 4''

r = 6'4''

one foot has 12 inches

convert r into inches:

6 × 12 = 72           (6 feet in r)

       r = 76''          (72 + 4)

r = 76''

a = 4''

ratio is 4:76

simplify

4:76

2:38

1:19

the ratio they used is 1:19

good luck,

-cheesetoasty

Answer:

57.6

Step-by-step explanation:

Parallel lines cut by transversals have proportional segments.

25/30 = 48/x

25x = 30 * 48

25x = 1440

x = 57.6

Answer:

C

Step-by-step explanation:

6 is the smallest so the first one would be c because it is the smallest

Answer:

Um what’s this language?

Step-by-step explanation:

Answer:

The loan will be paid after 39 monthly installments.

Step-by-step explanation:

Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:

13900 - 13500 = 400

400 x 5 = 2000

2000 + 13500 = 15500

15500/400 = 38.75

Thus, the loan will be paid after 39 monthly installments.

Answer:

point b is plotted incorrectly

Step-by-step explanation:

Answer:

74.5

Step-by-step explanation:

Answer: The answer is 74.5

Step-by-step explanation:

Hope this helped! :)

Set the polynomial equal to

y

to find the properties of the parabola.

y = -3(x+4)^2 - 8

Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k

a = -2

h = -4

k = -8

Find the vertex (h,k)

(-4, -8)

As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

"The vertex form of a quadratic equation is:

y = a(x - h)² + k

Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.

Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."

Here, the given quadratic equation is:

y = f(x) = -2(x - 4)² + 8

By comparing it with the vertex form of a quadratic equation, we get:

h = 4, y = 8.

Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).

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Answer:

it would be c because it is plotted correctly

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

Answer:

Each side is 25 square centimeters

Step-by-step explanation:

100 divided by 4 is 25

Answer:

2.25

Step-by-step explanation: