Lily drew 37 hearts and 36 circles. What is the ratio of hearts to circles?
Simplify your answer if possible.

Answer:

-23.4

Step-by-step explanation:

-0.0468 ÷ 0.002 = -23.4 (A negative divided by a negative is a positive!)

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Answer:

1.) 7th degree trinomial

2.) 5th degree binomial

Step-by-step explanation:

The degree of a term of a polynomial is the sum of the exponents of all the variables of that term. The degree of a polynomial is the same as the term with highest degree. Remember that a plain variable has degree 1. FOr example, 5x is a term of first degree because x is the same as x^1, so its degree is 1.

1.) m^5n^2 +mn^2 + n^6

Look at each term:

m^5n^2: degree = 5 + 2 = 7

mn^2: degree = 1 + 2 = 3

n^6: degree = 6

The highest degree of any term is 7, so the degree of the polynomial is 7.

The polynomial has 3 terms, so it's a trinomial.

Answer: 7th degree trinomial

2.) 12a^3b + 9a^2bc^2

Look at each term:

12a^3b: degree = 3 + 1 = 4

9a^2bc^2: degree = 2 + 1 + 2 = 5

The highest degree of any term is 5,so this is a 5th degree polynomial.

The polynomial has two terms, so it's a binomial.

Answer: 5th degree binomial

Answer: 20

Step-by-step explanation:

So what I did was divide the pages by the hours and got 20

but, when it starts with 20 pages an hour you have... 20

Cost of a bag of chips is $ 2.49.

The number of juice bottles is 12

The total cost is $ 27.57.

Let x be the cost of a juice bottle. Therefore we have,

On solving, x can be calculated as,

Thus, the cost of each juice bottle is $2.09.

Weighted average is the average of a set using different weight for each element in the set. The final grade when homework and test scores are 59 and 64 is 62.35

Given that:

\(Homework = 59\)

\(Test = 64\)

The test score is greater than the homework score. So, the test will be weighted using 67%, while the homework will be weighted using 33%.

The final grade is calculated as follows:

\(Grade = 67\% \times Test + 33\% \times Homework\)

So, we have:

\(Grade = 67\% \times 64 + 33\% \times 59\)

\(Grade = 42.88 + 19.47\)

\(Grade = 62.35\)

Hence, the final grade is 62.35

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Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

Answer: I think it's C

Step-by-step explanation: hope it helps

The vector z in the component form is z = < 21 , 24 , -27 >

Given data ,

A vector in component form is typically written as an ordered pair or triplet, where each component represents the magnitude of the vector along a specific coordinate axis.

Now , the vector u = < -1 , 3 , 1 >

v = < 4 , -3 , -1 >

w = < 10 , 5 , -10 >

Now , the value of vector z = < 3w - 2v + u >

z = 3w - 2v + u

z = 3w - 2 * < 4 , -3 , -1 > + < -1 , 3 , 1 >

Using scalar multiplication, we get:

z = < 30 , 15 , -30 > - < 8 , -6 , -2 > + < -1 , 3 , 1 >

Adding vectors, we get:

z = < 30 - 8 - 1 , 15 - (-6) + 3 , -30 + 2 + 1 >

z = < 21 , 24 , -27 >

Hence , the vector z in component form is z = < 21 , 24 , -27 >

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Answer:

(B)

Step-by-step explanation:

We have the equation:

\(y-3=-2(x+5)\)

Convert into Slope Intercept Form:

\(y-3=-2(x+5)\)

\(-2*x=-2x\\-2*5 = -10\)

\(y-3=-2x-10\)

\(y-3+3=-2x-10+3\\\boxed {y=-2x-7}\)

Slope-intercept form is \(y=mx+b\).

Since '-7' is in the 'b spot', the y-intercept of the line would be -7, or option B.

Option B should be the correct answer.

Answer:

y intercept is -7

Step-by-step explanation:

y - 3 = -2 (x+5)

This is point slope form

We want to get this to slope intercept form

y=mx+b  where m is the slope and b is the y intercept

Distribute

y-3 = -2x-10

Add 3 to each side

y-3+3 = -2x-10+3

y = -2x-7

The slope is -2 and the y intercept is -7

Answer:

B.

Step-by-step explanation:

your welcome

Using the properties of Isosceles Triangle we get that When the line containing the vertex of an isosceles triangle is drawn from the vertex angle perpendicular to the base, it bisects the vertex angle and the base.

Based on the length of the sides of the triangle, there are three types of equilateral triangles . , isosceles triangle, unequal triangle. An isosceles triangle is a triangle with two sides of equal length and corresponding angles are equal.

Statement : -

Let ABC be an isosceles triangle such that AB=AC.

Let AD be the bisector of ∠A.

we have to prove:- BD=DC

Proof :-

In △ABD&△ACD

AB=AC(∵△ABC is an isosceles triangle)

∠BAD=∠CAD(∵AD is the bisector of ∠A)

AD=AD (Common)

By S.A.S.(side angle side)

△ABD≅△ACD

By corresponding parts of congruent triangles-

⇒BD=DC

Hence proved that the perpendicular drawn from the vertex angle to the base bisect the vertex angle and base.

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Complete question:

Prove that if a line containing a vertex of an isosceles triangle is perpendicular drawn from the vertex angle to the base bisect the vertex angle and the base.

Answer:

1 3/4

Step-by-step explanation:

We can set the length of the rectangle to l. We can make an equation with the area because we know length*width = area.

l*(4/5) = 7/5

4l = 7

l = 7/4 = 1 3/4

Step-by-step explanation:

11/4 X 5/12

Lcm of denominators= 12

11 3 33

X =

4 3 12

33/12 X 5/12 = 165/12

Hope it's correct

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Answer:

There is not enough information to tell

Step-by-step explanation:

We are given that:

a>b

b>c

Therefore:

a>c

However, we are not given enough information to draw a relationship between b+c and a.

In order to better understand this situation, try applying values. Let a=4, b=2, and c=1.

In this case, a > b+c. However if a = 9, b=8 and c=7, then a < b+c.

In both stipulated cases, the given conditions are met, but no conclusion can be reached regarding the relationship between b+c and a.

The formula for the test statistic Z depends on the specific hypothesis test being conducted. However,  the test statistic Z can be computed as:

Z = (x - μ) / (σ / √n)

The formula for the test statistic Z is:

Z = (x - μ) / (σ / √n)

where:

x is the sample mean

μ is the population mean (under the null hypothesis)

σ is the population standard deviation (under the null hypothesis)

n is the sample size

This formula is used for a z-test, which is a statistical test that assumes that the population is normally distributed and uses the standard normal distribution to calculate the p-value.

In some cases, the population standard deviation is unknown, and so the sample standard deviation (s) is used as an estimate. In these cases, the formula for the test statistic Z is:

Z = (x - μ) / (s / √n)

where s is the sample standard deviation.

It's important to note that the formula for the test statistic Z can vary depending on the specific hypothesis test being conducted.

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Mom took 5/7 of the yellow thread and 2/5 of the red thread and tied them together to create a thread that is 39/35 long.

To determine the length of the thread now, we need to add the two fractions together. However, since they have different denominators, we need to find a common denominator first. The smallest common denominator for 7 and 5 is 35.

To get the common denominator, we need to multiply the numerator and denominator of each fraction by the factor needed to get to 35. For 5/7, we need to multiply by 5, and for 2/5, we need to multiply by 7.
So, 5/7 becomes (5 * 5)/(7 * 5) = 25/35, and 2/5 becomes (2 * 7)/(5 * 7) = 14/35.

Now, we can add the two fractions together:
25/35 + 14/35 = (25 + 14)/35 = 39/35

This fraction can be simplified by dividing both the numerator and denominator by the greatest common factor, which is 1. So, 39/35 simplifies to 39/35. Therefore, the length of the thread now is 39/35.

In conclusion, Mom took 5/7 of the yellow thread and 2/5 of the red thread and tied them together to create a thread that is 39/35 long.

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Step-by-step explanation:

by deleting

9y = -9

y = -1

6x - 4 = -10

6x = -6 then x = -1

Answer:

Step-by-step explanation:

The square root of an integer is either an irrational number or an integer. The latter is the case if and only if there is an integer which, when multiplied by itself, or squared, yields the number inside the symbol (the radicand) as the product. All square roots except perfect squares are irrational numbers. 3 is not a perfect square.

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

Step-by-step explanation:

first you have to divide then after you divide you should get the answer

Answer:

Step-by-step explanation:

m∠ABC = m∠ABF + ∠mFBC

m∠EBC = m∠DBC - m∠DBE

m∠EBC = 3*7 + 13 = 21 + 13 = 34°

m∠FBE = m∠FBC + m∠CBE and m∠FBC = m∠CBE

m∠FBE = 2m∠CBE

m∠FBE = 2*(4*4 + 15) = 2*31 = 62°

The answer is: (0, 0, 0).
To find the points at which the paths of the two particles intersect, we need to find the values of t for which r1(t) = r2(t). Equating the x, y, and z coordinates, we get three equations:

t = 1/2t
t2 = 1/6t
t3 = 1/14t
Simplifying the first equation, we get t = 0, which means the particles intersect at the origin. Substituting t = 0 into the second and third equations, we get 0 = 0 and 0 = 0, respectively. This confirms that the particles do indeed intersect at the origin. Therefore, the answer is: (0, 0, 0).

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Preconditions for Binary Search Tree is a valid binary search tree and Postconditions are Operations maintain tree validity. Insertion increases size, deletion decreases size. Search returns element or indication. Minimum/maximum return respective values.

The preconditions and postconditions for some common operations of an ADT (Abstract Data Type) Binary Search Tree. Preconditions and Postconditions for Binary Search Tree Operations are

Insertion

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains a valid binary search tree.

The element to be inserted is added to the tree.

The size of the tree is incremented by 1.

Deletion

Preconditions:

The tree is a valid binary search tree.

The element to be deleted is present in the tree.

Postconditions:

The tree remains a valid binary search tree.

The element to be deleted is removed from the tree.

The size of the tree is decremented by 1.

Search

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains unchanged.

If the searched element is found, it is returned along with its location (node).

If the searched element is not found, an appropriate indication (such as null or false) is returned.

Minimum

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains unchanged.

The minimum element (smallest value) in the tree is returned.

Maximum

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains unchanged.

The maximum element (largest value) in the tree is returned.

Traversal (In-order, Pre-order, Post-order)

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains unchanged.

The nodes of the tree are visited and processed in the specified order.

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Answer:

9

Step-by-step explanation:

3^5 = 243

3^3 = 27

243 / 27 = 9

Hope this helps :)

Answer:

\(\textsf{area of a sector}=\dfrac{\theta\pi r^2}{360\textdegree} \mathsf{\ \ (where\ \theta \ is\ in\ degrees)}\)

Given:

\(\implies \textsf{area}=\dfrac{60\textdegree \times\pi \times 6^2}{360\textdegree}\)

\(\implies \textsf{area}=\dfrac{2160\pi}{360}\)

\(\implies \textsf{area}=6\pi \textsf{ cm}^2\)

\(\implies \textsf{area}=18.85\textsf{ cm}^2 \textsf{ (nearest hundredth)}\)

The rate of change is 3/4.

The rise is 3 and the run is 4.

Slope, or rate of change, is rise/run.

So, you get 3/4.

Answer: The answer would be 3/4!

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

the answer is A.................